curso directional drilling ii log
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Training CurriculumCRCM_240_revA_0110
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Directional Drilling IIDirectional Drilling II
COMPUTALOGDRILLING SERVICES
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Directional Drilling II - 5 Days Prerequisites: Directional Drilling I Course Content Survey / Toolface (Offset) Accuracy & Quality Control Well Planning (Wellz) Project Ahead Survey / Toolface (Offset) Accuracy & Quality Control Students will differentiate between mechanical sensor failures, unstable gravity values, and magnetic interference effects by analyzing survey data and quality control plots. Magnetic Corrections Earth’s Magnetic Field Magnetic Declination Applying Declination Correction Grid Corrections Magnetic North True North Grid North GEOMAG / MRIP / GEODEC
Output to be used by field engineer Job Geomagnetic Sheet GEOMAGENTIC Reference Maps Example Problems Surface Parameters & Processing
Survey (Hole Position) Processing Flowchart Surface Survey Parameters Grid Corrections Downhole Survey Parameters Toolface Offset Measurement
Positive Pulse toolstring Negative Pulse toolstring EM toolstring
Toolface Offset Entry Positive Pulse toolstring Negative Pulse toolstring EM toolstring
Paperwork Example
Survey Parameter Analysis Real-Time Report Example “Validating a Survey Probe Response” (Using Excel Spreadsheet) Real-Time Report Parameters Gtotal Gx, Gy, Gz Bx, By, Bz MWD Surface Roll Test
Rotational Checkshots Algorithm Uncertainty Downhole Data QC for Field Engineers Surveying methods
Survey System Accuracy Comparison Accuracy Limitations (electronic vs. mechanical)
Independent Survey Comparisons Benchmark Survey Checkshot Survey Rotational Checkshots Gyro or Singleshot Survey
Sensor Response & Quality Hardware Failure “Hard” Failure (saturation, no response)
“Soft” Failure (sticking, calibration drift, wrong compass, film, batteries) Gravity Values Unstable Rotational Movement During Survey Axial Movement During Quality Control Check (Goxy vs. Gz vs. Gtotal) Magnetic Values Unstable
Natural Occurrences (solar flares, northern lights, local anomalies) Cross-axial Magnetic Interference (“fish”, casing)
Axial (Drillstring) Magnetic Interference (improper NMDC spacing) Drilling in Northern Latitudes (high inclination, E-W direction) Quality Control Check (Boxy vs. Bz vs. Btotal)
Other Factors Affecting Survey Accuracy Incorrect Inputs into Software (MFS, DIP, Total Correction) BHA Misalignment in Borehole Real-time MWD Transmission Resolution Predicting Uncertainty Errors (Spreadsheet)
“Possible Azimuth Error Charts”
WELL PLANNING (WELLZ) Generate Simplified Proposal from given parameters
Instructor Demonstrates Students use Example #1 Students use Example #2
Edit Elevation Depth from given Well Plan
Instructor Demonstrates Students use Example #1 Students use Example #2
Edit Target Depth from given Well Plan Instructor Demonstrates
Students use Example #1 Students use Example #2
Compare Survey Reports, Proposed vs. Actual Well Plan
Survey Realtime Report Survey Editing Data Entry & Hole Position Report
Instructor Demonstrates Students use Example #1
Students use Example #2 Memory/Realtime Survey Report
Determine Possible Uncertainty of Actual Well (excel spreadsheet)
PROJECT AHEAD Bottom Hole Assemblies Principle Configurations Rotary Slide Design Principles Side forces Fulcrum Principle Weight on Bit Well Path vs. Well Plan Interpolate Instructor Demonstrates Students use Example #1
Students use Example #2 Extrapolate Instructor Demonstrates Students use Example #1
Students use Example #2 Build Rate to Top of Target Center of Target Bottom of Target Instructor Demonstrates Students use Example #1
Students use Example #2 Desired Toolface Setting to Intersect Target Instructor Demonstrates Students use Example #1
Students use Example #2
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MAGNETIC DECLINATION CONTENTS WHAT IS MAGNETIC DECLINATION?
Do compasses point to the north magnetic pole?
If unlike poles attract, then why doesn't the north tip of a compass point magnetic south?
HOW DO I COMPENSATE FOR DECLINATION AND INCLINATION?
Declination adjustment
Arithmetic compensation
Maps with magnetic meridians
Inclination compensation for specific latitude zones
WHAT FACTORS INFLUENCE DECLINATION?
(What is the precision of a compass?)
Location
Local magnetic anomalies
Altitude
Secular change
Where were/are/will be the magnetic poles?
Diurnal change
Solar magnetic activity
"Bermuda Triangle" type anomalies
HOW DO I DETERMINE THE DECLINATION DIAGRAMS ON MAPS?
Declination diagrams on maps
Grid north and declination diagrams
Isogonic charts
Declinometer
REFERENCES AND ACKNOWLEDGMENTS
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MAGNETIC DECLINATION Many people are surprised to learn that a magnetic compass does not normally point to true north. In
fact, over most of the Earth it points at some angle east or west of true (geographic) north. The
direction in which the compass needle points is referred to as magnetic north, and the angle between
magnetic north and the true north direction is called magnetic declination. You will often hear the
terms "variation", "magnetic variation", or "compass variation" used in place of magnetic declination,
especially by mariners.
The magnetic declination does not remain constant in
time. Complex fluid motion in the outer core of the Earth
(the molten metallic region that lies from 2800 to 5000 km
below the Earth's surface) causes the magnetic field to
change slowly with time. This change is known to as
secular variation. An an example, the accompanying
diagram shows how the magnetic declination has
changed with time at Halifax. Because of secular
variation, declination values shown on old topographic, marine and aeronautical charts need to be
updated if they are to be used without large errors. Unfortunately, the annual change corrections
given on most of these maps cannot be applied reliably if the maps are more than a few years old
since the secular variation also changes with time in an unpredictable manner. If accurate declination
values are needed, and if recent editions of the charts are not available, up-to-date values for Canada
may be obtained from the most recent geomagnetic reference field models produced by the
Geological Survey of Canada.
The elements iron, nickel and cobalt possess electrons in their outer electron shell but none in the
next inner shell. Their electron "spin" magnetic moments are not canceled, thus they are known as
ferromagnetic.
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Earth's core has remained molten due to heat from ongoing radioactive decay. Convection currents
of molten rock containing ferromagnetic material flow in the earth’s outer core generating a magnetic
field. The magnetic poles of this field do not coincide with true north and south poles (the axis of
rotation of the Earth). In mid 1999, the average position of the modeled magnetic north pole
(according to the IGRF-2000 geomagnetic model) is
79.8° N, and 107.0° W, 75 kilometers (45 miles)
northwest of Ellef Ringnes Island in the Canadian Arctic.
This position is 1140 kilometers (700 miles) from the true
(geographic) north pole.
At the magnetic poles, the Earth's magnetic field is
perpendicular to the Earth's surface. Consequently, the
magnetic dip, or inclination (the angle between the
horizontal and the direction of the earth's magnetic field),
is 90°. And since the magnetic field is vertical, there is no
force in a horizontal direction. Therefore, the magnetic
declination, the angle between true geographic north and
magnetic north, cannot be determined at the magnetic
poles.
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The geomagnetic field can be quantified as total intensity, vertical intensity, horizontal intensity,
inclination (dip) and declination. The total intensity is the total magnetic field strength, which ranges
from about 23 microteslas (equivalent to 23000 nanoteslas or gammas, or 0.23 oersteds or gauss)
around Sao Paulo, Brazil to 67 microteslas near the south magnetic pole near Antarctica.
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Vertical and Horizontal intensity are components of the total intensity.
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The angle of the magnetic field relative to the level ground (tangent to the earth) is the inclination, or
dip, which is 90° at the magnetic north pole and 0° at the magnetic equator.
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Finally, the angle of the horizontal intensity with respect to the true north (geographic) pole is the
declination, also called variation in mariners' and aviators' jargon. In other words, declination is the
angle between where a compass needle points and the true North Pole.
If the compass needle points west of true north, this offset is designated as west declination. The
world standard, including in the southern hemisphere, is in reference to the magnetic north (MN)
declination.
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In the context of astronomy or celestial navigation, declination has a different meaning. Along with
right ascension, it describes the celestial coordinates of a star, etc.
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Do compasses point to the north magnetic pole?
Most people incorrectly believe that a compass needle points to the north magnetic pole. But the
Earth's magnetic field reacts to the effect of complex convection currents in the magma, which must
be described as several dipoles, each with a different intensity and orientation, the compass actually
points to the sum of the effects of these dipoles at your location. In other words, it aligns itself with
the local magnetic field lines of force. Other factors, of local and solar origin, further complicate the
resulting local magnetic field. It may be all right to say that a compass needle points "magnetic north"
but it only roughly points to the magnetic north pole.
The table below compares examples of actual and incorrect declinations (using IGRF95 model for
1998.0, anomalies ignored).
Actual Model Location Lat. Long. Declination Declination Error (degrees) (degrees) (degrees) (angle between (angle between where a compass north magnetic needle points dip pole and and true north true north pole) pole) Sydney 34.0S 151.5E 13 E 13 E 00 Australia Anchorage 61.5N 150.0W 23 E 20 E 03 USA Buenos Aires 34.5S 058.0W 06 W 09 W 03 Argentina Montreal 45.5N 073.5W 16 W 10 W 06 Canada Los Angeles 34.0N 118.5W 14 E 03 E 11 USA Perth 32.0S 116.0E 02 W 09 E 11 Australia Rio de Jan- 23.0S 043.0W 21 W 10 W 11 eiro Brazil St. Peters- 60.0N 030.5E 08 E 12 W 20 burg, Russia Ostrov 77.0N 148.0E 11 W 33 E 44 Bennetta New Siberian Islands
If unlike poles attract, then why doesn't the north tip of a compass point magnetic south?
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Should we be calling the north magnetic pole, the southern magnetic pole of the Earth, or should we
be referring to the south magnetized needle of the compass as pointing magnetic north? Neither. A
compass needle is a magnet and the north pole of any magnet is defined as the side which points
magnetic north when the magnet is freely suspended; its correct title is "north seeking pole," but it has
unfortunately been shortened to "north pole." Maps label the magnetic pole in the northern
hemisphere as the "North Magnetic Pole".
The cardinal points were defined long before the discovery that freely suspended magnets align to
magnetic north. When some curious person placed lodestone (magnetite) on wood floating on water,
or floated it directly on mercury, it was observed to align in a consistent direction, roughly pointing
north. The side of the lodestone that pointed magnetic north was called, naturally, the "north pole".
But that was before it was realized that like poles of magnets repel. So we must now make the
distinction that the real north pole is the Earth's north magnetic pole, and the poles of all magnets that
(roughly) point to it are north seeking poles.
HOW DO I COMPENSATE FOR DECLINATION AND INCLINATION? Since magnetic observations are neither uniformly nor densely distributed over the Earth, and since
the magnetic field is constantly changing in time, it is not possible to obtain up-to-date values of
declination directly from a database of past observations. Instead, the data are analyzed to produce a
mathematical routine called a magnetic
reference field "model", from which
magnetic declination can be calculated.
Global models are produced every one
to five years. These constitute the series
of International Geomagnetic Reference
Field (IGRF) models. The World
Magnetic Model Epoch 2000 (WMM-
2000), models. The latest IGRF and
WMM model was produced in 2000, and
is valid until 2005. The Canadian
Geomagnetic Reference Field (CGRF)
is a model of the magnetic field over the
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because the analysis was carried out over a smaller region, the CGRF can reproduce smaller spatial
variations in the magnetic field than can the IGRF. The latest CGRF was also produced in 2000 and
is valid until 2005. The accompanying declination chart is based on the CGRF.
Since magnetic field models such as the WMM, IGRF and CGRF are approximations to observed
data, a value of declination computed using either of them is likely to differ somewhat from the "true"
value at that location. It is generally agreed that the WMM and IGRF achieves an overall accuracy of
better than 1° in declination; the accuracy is better than this in densely surveyed areas such as
Europe and North America, and worse in oceanic areas such as the south Pacific. The accuracy of
the CGRF, in southern Canada, is about 0.5°. The accuracy of all models decreases in the Arctic
near the North Magnetic Pole.
Magnetic field models are used to calculate magnetic declination by means of computer programs
such as the Magnetic Information Retrieval Program (MIRP), a software package developed by the
Geomagnetism Program of the Geological Survey of Canada. The user inputs the year, latitude and
longitude and MIRP calculates the declination. MIRP is able to compute values for any location on the
Earth in the time period 1960 to 2000. For locations within Canada, MIRP computes values using the
CGRF. Outside Canada, values are calculated using the IGRF.
Below is an example of a Geomagnetic software package used to calculate many magnetic
parameters. Inputs required for this example are Latitude, Longitude, Elevation, Date and Model.
Output we
would
normally
use are
Magnetic
Field
Strength
(Incident
Field),
Magnetic
Dip angle
(Dip) and
Magnetic
Declination
(Dec).
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WHAT FACTORS INFLUENCE DECLINATION? Location
Each position on the Earth has a particular declination. The change in its value as one travels is a
complex function. If a navigator happens to be traveling along a rather straight line of equal
declination, called an isogonic line, it can vary very little over thousands of kilometers. However; for
one crossing isogonic lines at high latitudes, or near magnetic anomalies, the declination can change
at over a degree per kilometer (6/10 mile).
Local magnetic anomalies
Predictive geomagnetic models such as the World Magnetic Model (WMM) and the International
Geomagnetic Reference Field (IGRF) only predict the values of that portion of the field originating in
the deep outer core. In this respect, they are accurate to within one degree for five years into the
future, after which they need to be updated. The Definitive Geomagnetic Reference Field (DGRF)
model describes how the field actually behaved.
Local anomalies originating in the upper mantle, crust, or surface, distort the WMM or IGRF
predictions. Ferromagnetic ore deposits; geological features, particularly of volcanic origin, such as
faults and lava beds; topographical features such as ridges, trenches, seamounts, and mountains;
ground that has been hit by lightning; downhole features such as casing, stuck bottom hole
assemblies, drill string and bottom hole assemblies can induce errors of three to four degrees.
Anomalous declination is the difference between the declination caused by the Earth's outer core and
the declination at the surface. It is illustrated on 1:126,720 scale Canadian topographic maps
published in the 1950's, which included a small inset isogonic map. On this series, it is common to
observe a four-degree declination change over 10 kilometers (6 miles), clearly showing local
anomalies. There exist places on Earth, where the field is completely vertical; where a compass
attempts to point straight up or down. This is the case, by definition, at the magnetic dip poles, but
there are other locations where extreme anomalies create the same effect. Around such a place, the
needle on a standard compass will drag so badly on the top or the bottom of the capsule, that it can
never be steadied; it will drift slowly and stop on inconsistent bearings. While traveling though a
severely anomalous region, the needle will swing to various directions.
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A few areas with magnetic anomalies (there are thousands more):
-North of Kingston, Ontario; 90° of anomalous declination.
-Kingston Harbor, Ontario; 16.3° W to 15.5° E of anomalous declination over two kilometers (1.2 miles); magnetite and ilmenite deposits.
-Near Timmins, Ontario, W of Porcupine.
-Savoff, Ontario (50.0 N, 85.0 W). Over 60° of anomalous declination.
-Michipicoten Island in Lake Superior (47.7 N, 85.8 W); iron deposits.
-Near the summit of Mt. Hale, New Hampshire (one of the 4000-footers, near the Zealand Falls hut on the Appalachian Trail) ; old AMC Guides to the White Mountains used to warn against it.
-Around Georgian Bay of Lake Huron.
-Ramapo Mountains, northeastern New Jersey; iron ore; compass rendered useless in some areas.
-Near Grants, New Mexico north of the Gila Wilderness area; Malpais lava flows; compass rendered useless.
The USGS declination chart of the USA (GP-1002-D) shows over a hundred anomalies. The following
table lists the most extreme cases.
Anomalous (Lat. Long. Location declination degrees) 46.4 W 40.2 106.2 75 km.(45 mi.) W Boulder, Colorado 24.2 E 40.7 75.3 20 km. (12 mi.) NE Allentown, Pennsylvania 16.6 E - 12.0 W 46.7 95.4 250 km. (150 mi.) NW Minneapolis, Minnesota 14.8 E 33.9 92.4 85 km. (50 mi.) S Little Rock, Arkansas 14.2 E 45.5 82.7 In Lake Huron, Ontario 13.8 W 45.7 87.1 Escanaba, on shore of Lake Michigan 13.7 E 48.4 86.6 In Lake Superior, Ontario 13.5 E 48.5 122.5 80 km. (50 mi.) N Seattle, Washington 13.0 W 42.2 118.4 In Alvord Desert, Oregon 12.2 W 38.9 104.9 10 km. (6 mi.) W Colorado Springs, Colorado 11.5 E 47.8 92.3 120 km. (75 mi.) N Duluth, Minnesota In 1994, the average location of the north magnetic dip pole was located in the field by the Geological
Survey of Canada. This surveyed north magnetic dip pole was at 78.3° N, 104.0° W, and takes local
anomalies into consideration. However; the DGRF-90 modeled magnetic dip pole for 1994 was at
78.7° N, 104.7° W. The 47-kilometer (29 mile) difference illustrates the extent of the anomalous
influence. In addition to surveyed dip poles and modeled dip poles, a simplification of the field yields
geomagnetic dipole poles, which are where the poles would be if the field was a simple Earth-
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centered dipole. Solar-terrestrial and magnetospheric scientists use these. In reality, the field is the
sum of several dipoles, each with a different orientation and intensity.
Distortion caused by cultural features is called deviation.
Altitude
(Negligible to 2 degrees)
This factor is normally negligible. According to the IGRF, a 20,000 meter (66,000 foot) climb even at a
magnetically precarious location as Resolute, 500 kilometers (300 miles) from the north magnetic
pole, would result in a two-degree reduction in declination.
Secular change
(2-25 years/degree)
Where were/are/will be the magnetic poles?
As convection currents churn in apparent chaos in the
Earth's core, all magnetic values change erratically over
the years. The north magnetic pole has wandered over
1000 kilometers (600 miles) since Sir John Ross first
reached it in 1831, as shown on this map at SARBC
(extend the path to north west of Ellef Ringes Island for
1999), or this map at USGS. Its rate of displacement has
been accelerating in recent years and is currently moving
about 24 kilometers (15 miles) per year, which is several
times faster than the average of 6 kilometers (4 miles)
per year since 1831. The magnetic pole positions can be
determined more precisely by using a calculator that
returns magnetic inclination. Latitudes and longitudes
can be entered by trial and error, until the inclination (I) is
as close as possible to 90°.
North Magnetic Pole Movement 1945-2000
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South Magnetic Pole Movement 1945-2000
A given value of declination is only accurate for
as long as it stays within the precision of the
compass, preferably one degree. Typical
secular change or variation (do not confuse with
mariners' and aviators' variation) is 2-25 years
per degree. A map that states: "annual change
increasing 1.0' " would suggest 60 years per
degree, but that rate of change just happened to
be slow on the year of measurement, and will
more than likely accelerate.
The magnetic field has even completely
collapsed and reversed innumerable times,
which have been recorded in the magnetic
alignment of lava as it cooled. One theory to
explain magnetic pole reversals is related to
large meteorite impacts, which could trigger ice ages. The movement of water from the oceans to
high latitudes would accelerate the rotation of the Earth, which would disrupt magmatic convection
cells into chaos. These may reverse when a new pattern is established. Another theory is that the
reversals are triggered by a slight change the angular momentum of the earth as a direct result of the
impacts. These theories are challenged by the controversial Reversing Earth Theory, which
proposes that the entire crust could shift and reverse the true poles in a matter of days, but that the
molten core would remain stationary, resulting in apparent magnetic reversal. The Sun would then
rise in the opposite direction.
Diurnal change
(negligible to 9 degrees)
The stream of ionized particles and electrons emanating from the Sun, known as solar wind, distorts
Earth's magnetic field. As it rotates, any location will be subject alternately to the lee side, then the
windward side of this stream of charged particles. This has the effect of moving the magnetic poles
around an ellipse several tens of kilometers in diameter, even during periods of steady solar wind
without gusts. The Geological Survey of Canada shows a map of this daily wander or diurnal motion
in 1994.
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The resulting diurnal change in declination is negligible at tropical and temperate latitudes. For
example, Ottawa is subject to plus or minus 0.1 degree of distortion. However; in Resolute, 500
kilometers (300 miles) from the north magnetic pole, the diurnal change cycles through at least plus
or minus nine degrees of declination error. This error could conceivably be corrected, but both the
time of day and the date would have to be considered, as this effect also varies with seasons.
Solar magnetic activity
(negligible to wild)
The solar wind varies throughout an 11-year sunspot cycle, which itself varies from one cycle to the
next. In periods of high solar magnetic activity, bursts of X-rays and charged particles are projected
chaotically into space, which creates gusts of solar wind. These magnetic storms will interfere with
radio and electric services, and will produce dazzling spectacles of auroras. The varied colors are
caused by oxygen and nitrogen being ionized, and then recapturing electrons at altitudes ranging
from 100 to 1000 kilometers (60 to 600 miles). The term "geomagnetic storm" refers to the effect of a
solar magnetic storm on the Earth (geo means Earth.
The influence of solar magnetic activity on the compass can best be described as a probability. The
chance that the declination will be deflected by two degrees in southern Canada over the entire 11-
year cycle is 1% per day. This implies about four disturbed days per year, but in practice these days
tend to be clustered in years of solar maxima. These probabilities drop off rapidly at lower latitudes.
During severe magnetic storms, compass needles at high latitudes have been observed swinging
wildly.
"Bermuda Triangle" type anomalies
(very rare)
Legends of compasses spinning wildly in this area of the Atlantic, before sinking a ship, or blowing up
an airplane, may be related to huge pockets of natural gas suddenly escaping from the ocean floor.
As the gas bubbles up, it could induce a static charge or could ionize the gas, which would create
erratic magnetic fields. The gas would cause a ship to lose buoyancy, or a plane flying through a
rising pocket of natural gas could ignite it. The ionized gas may show as an eerie green glow at night.
It could make people feel light headed and confused because the gas replaces the air, but it would
not have the mercaptans that gas companies add to gas to give it its distinctive odor.
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At enormous pressures and low temperatures (as at the bottom of the sea), water and gas molecules
form gas hydrates. These compounds resemble ice but, unlike ordinary ice, the water molecules
form cages that trap gas molecules such as methane. The solid hydrates retain their stability until
conditions, such as higher temperatures or lower pressures, cause them to decompose. The gas
may remain trapped under silt, until an earthquake triggers a release.
This phenomenon is not restricted to the "Bermuda Triangle". The insurance statistics at the Lloyds
of London have not revealed an unusual number of sunken ships in the triangle.
HOW DO I DETERMINE THE DECLINATION DIAGRAMS ON MAPS? Most topographic maps include a small diagram with three arrows: magnetic north, true north and
Universal Transverse Mercator grid north. The given value of declination, corresponding to the center
of the map, does not take local anomalies into account. The value is usually out of date, since it may
have drifted several degrees due to secular change, especially on maps of remote regions with
several decades between updates. Some maps, such as the 1:50,000 scale topographic maps by
the Canadian Department of Energy, Mines and Resources include the rate of annual change, which
is useful for predicting declination, but that rate of change is erratic and reliability of the forecast
decreases with time. A rate of change over five years old is unreliable for one-degree precision. The
United States Geological Survey's 1:24,000 scale maps do not even mention annual change.
For example, the approximate mean declination 1969 on the Trout River, Newfoundland map was 28°
33' west with annual change decreasing 3.0'. This implies a recent (1997) value of:
28° 33' - ((1997-1969) * 3.0) = 27° 93'
but IGRF 1995 for 1997 yields 23° 44', which is 3° 25' less, showing that the 28-year prediction was in
significant error.
Grid north and declination diagrams
(negligible to 2 degrees)
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Grid north is the direction of the north-south lines of the Universal Transverse Mercator (UTM) grid,
imposed on topographic maps by the United States and NATO armed forces. UTM Provides a
constant distance relationship anywhere on the map. In angular coordinate systems like latitude and
longitude, the distance covered by a degree of longitude differs as you move towards the poles and
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only equals the distance covered by a degree of latitude at the equator. With the advent of
inexpensive GPS receivers, many other map users are adopting the UTM grid system for coordinates
that are simpler to use than latitude and longitude.
The problem with grid north is that is coincident with true north only at the center line of each UTM
zone, known as central meridians. The difference between grid north and true north can be over two
degrees. This might not be so bad if it were not for the different conventions with respect to
declination diagrams adopted by different countries. A declination diagram on a topographic
Canadian map or an Australian map shows magnetic north with respect to grid north, but a US map
shows magnetic north with respect to true north. Therefore, if you use declination from a
Canadian/Australian style declination diagram, be sure to take bearings to and from the map by
making the meridian lines on the compass parallel with the UTM grid (grid north). However, if you
use declination from a USGS style declination diagram or any of the other sources below, you must
make the meridian lines on the compass parallel with the edges of the map (true north). Canadian
maps show a blue fine-lined UTM grid, while some USGS 1:24,000 scale maps show black grid lines,
but the others only show blue grid tick marks on the map margins. The choice of grid lines or tick
marks on the US maps seems inconsistent by year or by region.
Printed Isogonic charts
Isogonic or declination charts are plots of equal magnetic declination on a map, yielding its value by
visually situating a location, and interpolating between isogonic lines. Some isogonic charts include
lines of annual change in the magnetic declination (also called isoporic lines). Again, the older, the
less valid. The world charts illustrate the complexity of the field.
A Brunton 9020 compass included a 1995 isogonic chart of North America, on a sheet copyrighted in
1992
The 1:1,000,000 scale series of World Aeronautical Charts include isogonic lines.
Hydrographic charts include known magnetic anomalies.
The McGraw-Hill Encyclopedia of Science and Technology (1992 edition) provides a small world
chart under "geomagnetism."
The best is the 1:39,000,000 Magnetic Variation chart of "The Earth's Magnetic Field" series
published by the Defense Mapping Agency (USA). The 11th edition is based on magnetic epoch
1995.0 and includes lines of annual change and country borders. Ask for Geophysical Data Chart
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stock No. 42 (DMA stock No. WOBZC42) at a National (USA) Ocean Service navigation chart sales
agent or order from the NOS Distribution Division, about US$10. Size: 1.26 X 0.9 meters (50" X 35").
It covers from 84° N to 70° S. North and south polar areas are on Geophysical Data Chart stock No.
43 (DMA stock No. WOBZC43).
European marine chart distributors may have better availability for the 1:45,000,000 scale "The World
Magnetic Variation 1995 and Annual Rates of Change" chart published by the British Geological
Survey. However; it lacks country borders. Ask for No. 5374, about US$16.
A 1:48,000,000 world declination chart of "The Magnetic Field of Earth" series is published by the
United States Geological Survey's Earth Sciences Information Center. However; the most recent
edition is still based on magnetic epoch 1990.0. It does include lines of annual change and country
borders. Look it up at a university map library or order GP-1004-D from the United States Geological
Survey. Only US$4.00 (+ US$3.50 for shipping and handling). Size 1.22 X 0.86 meters (48" X 34").
Includes polar regions at 1:68,000,000 scale. A United States declination chart is also published.
Scale 1:5,000,000 (Alaska and Hawaii 1:3,500,000), epoch 1990.0, GP-1002-D, US$4.00 + US$3.50
S&H, 1.14 X 0.8 meters (45" X 34"), includes over 100 magnetic anomalies.
On-line Isogonic charts
North America 1990, Others 1995: South America, Europe, Middle East, Southeast Asia, Australia/New Zealand, Global: Ricardo's Geo-Orbit Quick Look satellite dish site
World, small: United States Geological Survey
World, larger, color, 1995: National (USA) Geophysical Data Center or Stanford University in California
World, slightly more readable, 1995: National (USA) Geophysical Data Center
World, black and white, 1995, seven magnetic parameters, including polar projections: Kyoto University in Japan
World, color, 1995, five magnetic parameters and their rates of secular change, click to zoom. USA Department of Defense
Canada, CGRF95: Geological Survey of Canada
Canada, more detailed (caution: outdated--1985): Search and Rescue Society of British Columbia
United States, 1995, small, three magnetic parameters (note: longitudes are in 360° format): United States Geological Survey
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Mexico, IGRF95: Instituto de Geofísica, Universidad Nacional Autónoma de México. The blue lines are declination, and the red lines are annual change.
Australia, AGRF95 for 1997.5: Australian Geological Survey Organization (AGSO)
Finland, 1998.0: Finnish Meteorological Institute. It has wavy isogones in an attempt to include magnetic anomalies from the Earth's crust.
Generate your own: Kimmo Korhonen at the Helsinki University of Technology, Finland wrote this Java applet in which you specify a region and date. Great idea, but the maps lack detail.
On-line and downloadable declination data
Use an atlas to find your latitude and longitude before you can use the links below.
Pangolin in New Zealand features a Java applet that continuously returns magnetic variation as the pointer is moved over a map of the world. Sorry, no zooms available, but it computes great circle bearings and distances. http://www.pangolin.co.nz/magvar.html
Geological Survey of Canada: declination http://www.geolab.nrcan.gc.ca/geomag/e_cgrf.html
National (USA) Geophysical Data Center: seven magnetic parameters and their rates of secular change. http://www.ngdc.noaa.gov/cgi-bin/seg/gmag/fldsnth1.pl
Interpex Limited: GEOMAGIX freeware can be downloaded. http://geomag.usgs.gov/Freeware/geomagix.htm
Defense Mapping Agency: GEOMAG freeware can be downloaded. ftp://ftp.ngdc.noaa.gov/Solid_Earth/Mainfld_Mag/DoD_Model/Basic_Software/dmabasic.exe
Ed William's Aviation page: Geomagnetic Field and Variation Calculator freeware can be downloaded in Mac, Linux, and DOS versions and are suitable for batch processing. http://www.best.com/~williams
CBU Software: MAGDEC shareware (30-day trial) provides a plot of declination vs. years, latitude or longitude and will transform bearings from one year to another. It covers USA only, from 1862 to present. http://www.datacache.com/descript.htm
Declinometer/Inclinometer
A declinometer/inclinometer is sophisticated instrument makes precision measurements of declination
and inclination. It is used to calibrate compasses or to periodically calibrate continuously recording
variometers in magnetic observatories. The angle at which its electronic fluxgate magnetometer
reads a minimum value, is compared to a sighting through its optical theodolite. True north is
determined by sighting a true north reference target mounted some distance away, or is derived from
celestial navigation calculations on a sighting of the sun or another star.
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Link to references and acknowledgments.
Questions, comments, corrections, and additions are welcome. Please E-Mail me in French or English at [email protected].
Copyright 1997-1999 by Chris M. Goulet..
Updates of this FAQ will be posted at: Communications Accessibles de Montreal http://www.cam.org/~gouletc/decl_faq.html
and at:Geocities http://www.geocities.com/Yosemite/Gorge/8998/decl_faq.html
Disclaimer (Lawyer Repellent): Permission is hereby granted to apply the information in this document on the condition that be author not be held responsible nor liable for any damages.
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Directional Drilling Azimuth Reference Systems
This paper discusses the primary azimuth reference systems currently used in directional drilling.
This will include True North and Magnetic references with particular detail given to Grid
Coordinate systems (i.e. UTM, Lambert, Geographic, and Local). A simple field-proven method is
also presented to help avoid confusion when converting from one system to another.
More than one multi-million dollar directional drilling project has missed its intended target(s) due
to errors and/or misunderstandings surrounding the azimuth reference system in use. The
confusion arises primarily from the necessity to change from one system to another between the
well planning phase, where most maps are drawn with respect to a local Grid North, and the
drilling phase where surveying is performed with respect to a Magnetic or True North reference.
The field company representative is faced with a confusing array of possible conversions,
including declination corrections from Magnetic North to True North, True North to Grid North,
Magnetic to Grid North, or Grid to Magnetic North. Is the correction to be added or subtracted
from the survey measurement? Is the convergence magnitude and sign correct for the grid
system used? With all these questions, it is easy to see why this seemingly simple task is often
performed improperly and the
mistake not realized until the
target is missed. The rig
foreman often passes on the
responsibility for field
convergence application to
the service company
supplying the surveys or to
the directional driller. While
this practice may appear
sound in theory, it usually
creates additional confusion
as basic information is often
poorly communicated or
misconstrued. It is not
uncommon that on projects
where several service
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companies perform different surveys (i.e. MWD, single shots, multi-shots, and gyros) that each
supplier comes up with a different convergence value.
A case in point involved a recent high visibility multi-million dollar directional drilling project. In this
incident, a well known well planning company drew the well maps with respect to the local grid
coordinate system, with a footnote stipulating that the directional contractor would be responsible
for grid and magnetic declination convergence. When the operation began, the rig site was
manned by a company representative, two consulting drilling engineers, and a directional driller
all responsible for deviation control. The directional company was not accustomed to deriving grid
corrections and solicited help from the company representative. He assumed the local grid was
UTM (later learned to be state plane) and the appropriate UTM convergence was applied. He
then had the directional company’s office redraw the well maps rotated by that UTM correction.
The office complied and added in the magnetic declination as well. The directional driller missed
this fact, however, and continued to apply a declination correction at the rig site as drilling
continued. It was not until the project was
completed and the target missed that the errors
were realized.
This project was more closely supervised than a
normal directional well, yet it serves as a classic
example of how easily the relative relationships
between coordinate systems can be poorly
communicated and inappropriately applied. The
remainder of this paper will examine methods to
reduce these azimuth convergence errors by
utilizing field experience and suggested
communication procedures between all involved
parties.
AZIMUTH REFERENCES
Azimuth, (AZ) used in directional drilling, may be defined as the direction of the wellbore (at a
given point) projected into the horizontal plane measured in a clockwise direction from Magnetic
North, True North or Grid North after applying a North Reference system. Azimuth should be
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expressed as a value on a 0°-360o
compass system. Quadrant or
bearing systems (i.e. N45° 20’E) may
be easier to visualize, but make the
probability of convergence mistakes
higher than in an azimuth system. It
is therefore recommended to have all
survey printouts converted to an
azimuth system when making initial
convergence corrections. For
directional drilling and borehole
surveying, there are three primary
azimuth references. They are
Magnetic North (MN), True
(Geographic) North (TN), and Grid
North (GN).
Magnetic North is the direction of the horizontal component of the earth’s magnetic field lines at a
particular point on the earth’s surface pointing to the magnetic pole. A magnetic compass will
align itself to these lines with the positive pole of the compass indicating North. Magnetic North is
usually symbolized on maps by a half arrow head or the letters MN.
True or Geographic North is the horizontal direction from a point on the earth’s surface to the
geographic North Pole, which lien on the earths axis of rotation. The direction is shown on a
globe by meridians of longitude. True North i.e. normally symbolized on maps by a star at the tip
of the arrow or the letters TN.
Grid North is a reference system devised by map markers in “the complicated task of transferring
the curved surface of the earth onto a flat sheet. The meridians of longitude on a globe converge
toward the North Pole and therefore do not produce a rectangular grid system. A map can be
drawn such that the grid lines are rectangular, for some specified area of the earth, the northerly
direction of which is determined by one specified meridian of longitude. This direction is called
Grid North and is identical to True North only for that specified central meridian. It is normally
symbolized on a map by the letters “GN” at the tip of the arrow.
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GRID SYSTEMS
Geographic coordinates. One of the oldest systematic methods of location is based upon the
geographic coordinate system. While this information is basic, a short review is included for
reference. By drawing a set of east-west rings around the globe (parallel to the equator), and a
set of north- south rings crossing the equator at right angles and converging at the poles, a
network of reference lines is formed from which any point on the earth’s surface can be located.
The distance of a point north or south of the equator is known as latitude. The rings around the
earth parallel to the equator are called parallels of latitude or simply parallels. Lines of latitude run
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east-west, with north-south distances measured between them. A second set of rings around the
globe at right angles to lines of latitude and passing through the poles are known as meridians of
longitude or simply meridians. One meridian is designated as the prime meridian. The prime
meridian accepted by the majority of the world runs through Greenwich, England, and is known
as the Greenwich meridian. The distance east or west of a prime meridian to a point is known as
longitude. Lines of longitude (meridians) run north-south, with east-west distances measured
between them. Geographic coordinates are expressed angular measurement. Each circle is
divided into 360°, each degree into 60 minutes, and each minute into 60 seconds. The degree is
symbolized by (0), the minute by (’), and the second by (‘’). Starting with 0° at the equator, the
parallels of latitude are numbered to 90° both north and south. The extremities are the North
Pole at 90° north latitude and the South Pole at 90° south latitude. Latitude can have the same
numerical value north or south of the equator, so the direction N or S must always be given. It can
also be further defined as Geographic/Geodetic or Geocentric Latitude. Geodetic is the angle that
a line perpendicular to the surface of the earth makes with the plane of the equator. It is slightly
greater in magnitude than the Geocentric latitude, except at the equator and poles where it is the
same due to the earth’s ellipsoidal shape. The Geocentric latitude is the angle made by a line to
the center of the earth at the equatorial plane.
Starting with 0° at the prime meridian, longitude is measured both east and west around the
world. Lines east of the prime meridian are numbered to 0° to +180° and identified as east
longitude: lines west of the prime meridian are numbered to 0° to -180° and identified as west
longitude. The direction E (+) or W (-) must always be given. The line directly opposite the prime
meridian, 180°, may be referred to as either east or
west longitude.
Geographic Datum. For most atlas maps and any
directional drilling map, the earth may be considered a
sphere. Actually it more nearly resembles an oblate
ellipsoid flattened by approximately one part in three
hundred at the poles due to rotation. On small scale
maps this oblateness is negligible. However, different
ellipsoids will produce slightly different coordinates for
the same point on the earth and therefore warrant a
brief summary.
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More than a dozen principal ellipsoids have been measured in the past two hundred years which
are still in use by one or more countries. An official shape was designated in 1924 by the
International Union of Geodesy and Geophysics (IUGG) and adopted a flattening ratio of exactly
one part in 297. This was called the International Ellipsoid and was based on Hayford’s
calculations in 1909 giving an equatorial radius of 6,378,388 meters and a polar radius of
6,356,911,9 meters. Many countries did not adopt this ellipsoid however, including those in North
America. The different dimensions of the other established ellipsoids are not only the result of
varying uncertainties in the Geodetic measurements that were made, but also are due to a non-
uniform curvature of the earth’s surface due to irregularities in the gravity field. It is for this
reason that a particular ellipsoid will be slightly more accurate in the areas it was measured,
rather than using a generalized ellipsoid for the whole earth. This also includes satellite derived
ellipsoids such as WGS72. The table below illustrates some of the official ellipsoids in use today.
Equatorial
Radius,a, PolarRadius Flattening
Name Date Meters b, metere f Use
GRS 19802 1980 6,378,137 6,356,752.3 1/298.257 Newly adopted
WGS 723 1972 6,378,135 6,356,750.5 1/298.26 NASA
Australian 1965 6,378,160 6,356,774.7 1/298.25 Australia
Krasovaky 1940 6,378,245 6,356,863.0 1/298.25 SovietUnion
Internat’1 1924 6,378,388 6,356,911.9 l/297 Remainderof the”world
Hayford 1909 6,378,388 6,356,911.9 1/297 Renainderof the world
Clarke 1880 6,378,249.1 6,356,514.9 1/293.46 Most of Africa;France
Clarke 1866 6,378,206.4 6,356,583.8 1/294.98 North America; Philippines
Map Projections. A map projection is a method of transferring part or all of a round body on to a
flat sheet. Since the surface of a sphere cannot be represented accurately on a flat sheet without
distortion the cartographer must choose characteristics he wishes to display precisely at the
expense of others. There is consequently no best method of projection for map making in
general. Different applications require different projections.
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Some characteristics normally considered in choosing a particular projection are: true shape of
physical features, equal area, true scale and size, great circles as straight lines, rhomb (compass
point) lines as straight lines, and correct angular relationships. A map of relatively small size,
such as a directional well
path, will closely achieve
most or all of these
characteristics with any
method of projection.
Map projections are
generally classified with
respect to their method of
construction in
accordance with the
developable surface from
which they were devised,
the most common being
cylindrical, conical, and planer.
An examination of these projections shows that most lines of latitude and longitude are curved.
The quadrangles formed by the intersection of these
curved parallels and meridians are of different sizes
and shapes, complicating the location of points and the
measurement of directions. To facilitate these essential
operations, a rectangular grid maybe superimposed
upon the projection.
Universal Transverse Mercator Grid (UTM). The most
common worldwide grid system used in directional
drilling is the UTM. The U.S. Army adopted this
system in 1947 for designating rectangular coordinates
on large scale military maps of the entire world. The
UTM is based on the Cylindrical Transverse Mercator
Conformal Projection, developed by Johann Lambert in 1772, to which specific parameters have
been applied, such as central meridians.
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The UTM divides the world into 60 equal zones (6° wide) between latitude 84°N and latitude
80°S. Polar regions are normally covered by a separate planer projection system known as
Universal Polar Stereo-graphic. Each of the 60 zones has its
own origin at the intersection of its central meridian and the
equator. The grid is identified in all 60 zones. Each grid is
numbered, beginning with zone 1 at the 180th Meridian,
International Date Line, with zone numbers increasing to the
east. Most of the North America is included in Zones 10-19.
Each zone is flattened and a square grid superimposed upon
it.
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electronically or used for any Az Ref Systems.doc 8/30/00 2-8
Any point in the zone may be referenced by citing its zone
number, its distance in meters from the equator (“northing”)
and its distance in meters from a north-south reference line (’easting”). These three components:
the zone number, easting and northing make up the complete UTM Grid Reference for any point,
and distinguish it from any other point on earth. The Figure below shows a zone, its shape
somewhat exaggerated, with its most important features. Note that when drawn on a flat map, its
outer edges are curves, (since they follow meridian lines on the globe), which are farther apart at
the equator than at the poles.
UTM zones are sometimes further divided into grid sectors although this is not essential for point
identification. These sectors are bounded by quadrangles formed every 8° in latitude both north
and south and are designated by letters
starting with C at 80° South to X at 72°
North, excluding I and O. Dallas for
example is in grid zone 14s covering a
quadrangle from 96° to 102°W and from
32° to 40°N. Sectors may be further
divided into grid Squares of 100,000
meters on a side with double letter
designations including partial squares of
10,000 meters, 1,000 meters and 100
meters designated by numbers and
letters.
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The two most important features of the zones are the equator, which run east and west through
its center, and the central meridian. Easting and northing measurements are based on these two
lines. The easting of a point represents its distance in meters from the central meridian of the
zone in which it lies. The northing of a point represents its distance in meters from the equator.
By common agreement, there are no negative numbers for the castings of points west of the
central meridian. Instead of assigning a value of 0 meters to the central meridian of each zone,
each is assigned an arbitrary value of 500,000 meters, increasing to the east.
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Since along the equator at their widest points, the zones somewhat exceed 600,000 meters from
west to east, easting values range from approximately 200,000 meters to approximately 800,000
meters at the equator, with no negative values. The range of possible casting values narrows as
the zones narrow toward the poles. Northings for points north of the equator are measured
directly in meters, beginning with
a value of zero at the equator
and increasing to the north. To
avoid negative northing values
for points south of the equator,
the equator is arbitrarily
assigned a value of 10 million
meters, and points are
measured with decreasing, but
positive, northing values heading
southward. Some maps,
particularly in the U.S., have
converted UTM coordinates from
meters to feet.
In utilizing the Transverse
Mercator Projection, the central
UTM meridian has been reduced
in scale by 0.9996 of True to
minimize variation in a given
zone. This scale factor (grid
distance/true distance) changes
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slightly as you move away from the central meridian and should be considered if very accurate
measurements are desired. However, this error is very small in directional drilling maps and is
usually ignored.
Approximately 60 countries use the
UTM as the most authoritative and
general use projection within the world,
although some also use secondary local
projections and grid references. The
Russia, China and other European
countries use the Transverse Mercator
(Gauss-Kriiger) with 6° zones.
Approximately 50 countries use other
projections. Lambert Conformal Conic
Projection. The Lambert System is
based on a conformal conic projection
and is particularly useful in mapping
regions that have a predominately east-
west expanse. This system has heavy
use in North America and is the official
U.S. state plane coordinate system for
more than half of the 48 contiguous
states, including the majority of those where oil is drilled and produced (i.e. Texas, Louisiana,
Oklahoma, California, Colorado, Kansas, Utah, and Michigan). The remainder of the states,
including Wyoming, uses the Transverse Mercator with Alaska using a combination.
This projection was first described by Lambert in 1772, but received little use until the First World
War where France revived it for battle maps. The features of this conic projection include:
• Parallels of latitude are unequally spaced arcs of concentric circles
• Meridians of longitude are equally spaced radii cutting the parallels at right angles
• Scale is normally true along two defined parallels, but can be true along one
• Pole in same hemisphere is a point, other pole is at infinity
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Since there is no distortion at the parallels, it is possible to change the “standard parallels” to
another pair by changing the scale applied to the existing map and recalculating standards to fit
the new scale. Each state or area has it’s own standard parallels, or sets of the same depending
on its size, to reduce distortion at the center. For example, Louisiana is divided into three zones
as shown in the Table below.
Zone STANDARD PARALLELS ORIGIN
Long. Lat.
North 31° 10* N 32° 40t N 92° 301 w 30° 401 N
South 29° 18’ 3C” 42* 91° 201 28° 40’
Offshore 26° 10’ 27° 501 91° 201 25° 40’
The grid origins for most states are measured in feet, with the east-west axis starting at 2,000,000
feet and the north-south axis set at 0 feet.
Local Grid systems. There are numerous local grid systems in use around the world today.
These systems all have different base line coordinates and projections, covering different sizes of
surface areas, but all serve the same basic purpose as outlined for UTM and Lambert. In the
U.S. lease lines often are used as a convenient grid reference, as well as other privately surveyed
grids. Outside the U.S., local grids are used in Holland, the U.K., Brunei, Australia, and other
countries. Several countries have also shifted the starting of the UTM grid zones to fall inside
their own territory.
In some situations when using standard grid coordinates, the well’s target location may lie in a
different zone from the surface location. In these cases creating a nonstandard zone normally
produces a special local grid. This is done by either extending the surface location zone by a few
miles to include the target, or shifting the zone center, as sometimes is done with UTM, 3° to the
zone boundary.
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AZIMUTH REFERENCE SYSTEM CONVERSIONS
Most well proposals are generated from rectangular coordinates derived from the UTM or local
grid system. The surface location to target direction will therefore be referenced to Grid North.
Since wells must be surveyed with sensors that reference direction to either Magnetic or True
North, it will be necessary to convert between these references.
Magnetic Declination
Correction. Magnetic
declination correction converts
azimuth values between the
Magnetic North and True North
systems. The magnetic
declination correction is the
angle between the horizontal
component of the earth’s
magnetic field lines and the lines of longitude. When Magnetic North lies to the west of True
North, the magnetic declination is said to be westerly, and if to the east, easterly.
Values of magnetic declination change with time and location. Magnetic Declination models are
updated every year. Their values and rates of change can be obtained from Computer programs
like GEOMAG or “world magnetic variation charts” or “isogonic charts” which are issued by all
major hydrographic institutes in the world once every five years (1980, 1985, ’90, etc.). Computer
programs like GEOMAG use current magnetic models and calculate up-to-date local declination
figures. The most accurate method to determine local declination is to measure the magnetic
field with a magnetic transit.
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When magnetic results are
recorded, the declination and
the date must be included. Local
values of magnetic declination
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Az Ref Systems.doc 8/30/00 2-12 Doc. # TD2002.rev A
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should be stated in the well program to plus or minus 0.1O.
Grid Correction Angle. A grid correction converts azimuth readings between the True North
systems and the specified grid system. The angle of correction is the angle between the
meridians of longitude and the Northings of the grid system at a specified point. The magnitude
of the correction angle depends upon its location within the grid and its latitude. The closer the
point is to the grid central meridian and to the equator, the smaller the correction.
The computation of the grid correction angle or angle of convergence will require special
mathematical techniques depending on the type of projection of the curved earth’s surface on to
the flat grid. The directional software packages will at minimum handle UTM and Lambert
conformal conic convergence. The chosen sign convention displays Grid North as “x” number of
degrees east or west of True North. For example, when you convert the geographic coordinates
latitude N 30° 00’ 00” and longitude W 95° 00’ 00” to UTM coordinates (using the Hayford Inter-
national - 1924 Ellipsoid), the computer will display the following results:
UTM Coordinates:
Hemisphere = North
Zone = 15
Northing = 3320517.348
Easting = 307077.096
Grid Convergence = W 1° 0’ 0”
This listing indicates a grid convergence of 1o 00’ 00”. Grid convergence as calculated by the
directional software package is the angular difference in degrees between True North and UTM
Grid North. UTM Grid North is said to be “X” number of degrees either east or west of True
North. When working with the UTM system, the calculated direction between two UTM
coordinates is referenced to Grid North. To convert this UTM Grid North direction to a True North
direction, you must apply the grid convergence to the calculated UTM Grid North direction. This
sign convention is not necessarily the same for all contractors and should be clearly
communicated and understood before drilling begins.
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Az Ref Systems.doc 8/30/00 2-13 Doc. # TD2002.rev A
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System Conversions. Once accurate magnetic declination and grid convergence angles are
acquired, all that is needed to change reference systems is to add or subtract these angles from
one another. While this seems a simple task, misunderstandings surrounding the relationship
between these references can cause a target to be missed. To avoid this confusion,
declination/grid conversion polar diagrams should be drawn on all maps and clearly defined on all
survey printouts. With this in mind, the following procedure is suggested:
1. Convert quadrant/bearing readings, including declination and grid convergence, to a 0-
360 degrees azimuth system.
2. Draw a polar diagram showing True North at 0 degrees azimuth (12 o’clock).
3. Draw an arrow for Magnetic North using an exaggerated angle east or west of True North
showing the declination angle (east declination is east of True North and west is west).
4. Draw an arrow for Grid North using an exaggerated angle east or west of True North
showing the grid convergence angle (be sure of the sign convention of the grid
convergence value used, for example does a west convergence angle put Grid North
west of True North or visa versa?).
5. Draw an arrow pointing east (azimuth of 90°) for an arbitrary borehole azimuth reference.
6. Label the borehole azimuth with reference to each system.
True North azimuth will equal 90°; Magnetic azimuth will equal 90° plus/minus declination; Grid
azimuth will equal 90° plus/minus grid convergence. With these three references it is a simple
matter to determine whether declination and/or convergence need to be added or subtracted to
switch from one system to the other.
Example one depicts a situation with a 3.0o west grid convergence and a 5.0 o east magnetic
declination. The diagram clearly shows the arbitrary True North azimuth of 90 o to equal 93.0 o
Grid North reference and 85.0 o Magnetic North reference. To convert from Magnetic azimuth to
True azimuth add 5.0 o to all Magnetic North azimuths and so forth. The chart adjacent to the
polar diagram shows all possible combinations to change between systems. The survey printout
should include, under an azimuth reference heading, the following data: 1) Grid North is 3.0°W
(CCW) from True North; 2) Magnetic North is 5.0° (CW) from True North and 8.0°E (CW) from
Grid North, December 1987; and 3] Survey printout is referenced to Grid North. Example two
depicts a similar situation with a 3.0° east grid convergence and an 8.0° east magnetic
declination.
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Az Ref Systems.doc 8/30/00 2-14 Doc. # TD2002.rev A
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COMMUNICATION
Accurate communication, both written and oral, is the key to avoiding convergence errors. This
function can generally be divided into two or three groups depending on the size of the
organization and the complexity of the project.
The initial group will normally consist of seismic crews, geophysical and geology departments,
who will be responsible for developing structure maps and choosing targets with respect to a
common coordinate system. The next group might be land/hydrographic survey crews, geology,
drilling engineering, and a directional service company who might be responsible for developing
well plans to the proposed targets from selected surface locations. At this point the grid
convergence and magnetic declination angle should be computed, cross checked, and
documented on the well prognosis and directional maps using a polar grid convergence diagram.
All groups should be in agreement with these values before release to operations. The final
group might consist of drilling engineering, operations drilling foremen, and directional drillers who
will be responsible for drilling the well to target as planned. This is the stage where most errors
and miscommunication are likely to occur. Never assume the man on the rig will understand your
written communications. A meeting should be held, at the rig site if necessary, to assure that all
parties understand the map azimuth reference and the magnitude and sense of necessary
correction angles.
CONCLUSION
A missed target for any reason can be a financial disaster; a missed target for azimuth reference
convergence error is inexcusable. This mistake can be avoided by:
• TRAINING responsible personnel basic grid systems, magnetic declination, convergence
angle corrections, and use of polar grid convergence diagrams.
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Az Ref Systems.doc 8/30/00 2-15 Doc. # TD2002.rev A
Computalog
• COMMUNICATION, both written and oral, of azimuth references and conversion
corrections to all responsible parties from geophysics to geology to drilling engineering to
operations to directional drilling contractors.
• PROFESSIONAL SUPERVISION provided by drilling engineering, operations drilling
superintendents, rig foremen, and directional drilling contractors.
NOMENCLATURE
GN Grid North
MN Magnetic North
TN True North
UTM Universal Transverse Mercator Grid System
x, y Equatorial Earth’s Radius
z Polar Earth’s Radius
REFERENCES
1. Synder, John P.: Map Projections Used by the U.S. Geological Survey, United States
Government Printing office, Washington, D.C. (1982) Page 15
2. Synder, John P.: Map Projections Used by the U.S. Geological survey, United States
Government Printing Office, Washington D.C. (1982) page 60.
3. Gillan, C. and Wadsworth D.: “Automated Drilling Data Provides Instant Insights into
Complex Problems” American Oil and Gas Reporter
BIBLIOGRAPHY
1. Judson, Sheldon, and Left, Don L.: Physical Geology, Prentice-Hall, Inc, Englewood
Cliffs, New Jersey, (1965)
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Az Ref Systems.doc 8/30/00 2-16 Doc. # TD2002.rev A
2. Englewood Cliffs, New Jersey, (1965) & Piloting, Naval Institue Press, Annapolis,
Maryland (1985)
Computalog
3. Synder, John P.: Map Projections Used by the U.S. Geological Survey, United States
Government Printing office, Washington, D.C. (1982)
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Az Ref Systems.doc 8/30/00 2-17 Doc. # TD2002.rev A
Coordinate Systems
2-18
Coordinate Systems
Geographic Coordinates One of the most accurate means of depicting a point on the earth’s surface is by referring to its geographic coordinates. The earth, as a sphere, is divided into theoretical lines (or meridians) of longitude (running from pole to pole) and parallels of latitude (running parallel to the equator). The meridians of longitude run 180° east and west of 0° (running through Greenwich). The parallels of latitude run 90° north and south of the equator (0° latitude). In this way, any point on the earth's surface can be referred to by its latitude and longitude. While this system is very accurate for defining the position of a point with reference to the center of the earth, it becomes quite an involved process to refer two points to each other and to represent them in two dimensions.
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Universal Transverse Mercator System
2-19
Universal Transverse Mercator System
In the UTM System, the world is divided up into 60 equal zones (each 6° wide) between 80° north and 80° south; polar regions are covered by other special projections. Each zone has its own origin at the intersection of its central meridian and the equator. Each zone is flattened and a square imposed on it. Thus, its outer edges are curved when drawn on a flat map since they follow the meridian lines on the globe. Each of the 60 zones is numbered, starting with zone 1 at the 180th meridian. The areas east and west of the Greenwich Meridian are covered by zones 30 and 31.
Any point on the earth may be identified by its zone number, its distance in meters from the equator (northing) and its distance in meters from a north south reference line (easting). Zones are sometimes divided into sectors representing intervals of 8° latitude, starting with zone C at 80° S and ending with zone X at 72° N (omitting I and O). It is not essential to use the grid sector letter to identify the position of a point on the globe. To avoid negative values for eastings, the central meridian in any zone is assigned the arbitrary eastings value of 500,000 meters. Along the equator a zone is about 600,000 meters wide, tapering towards the polar region. Eastings range in value from approximately 200,000 to 800,000. For points north of the equator, northings are measured directly in meters, with a value of zero at the equator and increasing toward the north. To avoid negative northing values in the Southern Hemisphere, the equator is arbitrarily assigned a value of 10,000,000 meters and displacements in the southern hemisphere are measured with decreasing, but positive, values as one heads south.
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UTM System
2-20
UTM System
Convergence is the difference between grid north and true north. Clearly, at the central meridian, grid north equals true north. Convergence will vary with distance away from the central meridian and with distance away from the equator.
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2-21
UTM System continued
The well proposal is usually derived from coordinates in a grid system and, therefore, directions will be in terms grid north. However, the well surveys will use sensors that reference either magnetic or true north, the user must, therefore, be able to convert from one reference to the other.
Magnetic Declination Correction
Magnetic Declination Correction is the angle between magnetic north and true north. Values of magnetic declination change with time and location. As the movement of magnetic north is constant and predictable, magnetic declination can be calculated for any given point on the earth at any given time. Charts depicting the various declinations and rate of change (usually expressed as an annual change) are widely used. An easterly declination is expressed as a positive value and a westerly declination is expressed as a negative value. Although converting from one reference to another appears a simple task, considerable care is needed, depending on the relative directions of convergence and magnetic declination.
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Grid Convergence is ß° West
True Azimuth is Ø°
Grid Azimuth is (Ø + ß)°
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Magnetic Declination is ß° West
Magnetic Hole Direction is Ø°
Corrected Hole Direction is (ß - Ø)°
Leaseline or Boundaries
2-22
Leaseline or Boundaries
In some countries, oil and gas leases are sold. These leases are normally administered by local governing bodies or agencies and have clearly defined boundaries. Any point within a lease can be defined in terms of distance from any two adjoining boundaries.
Hardlines Lines drawn on the plot which should not be crossed for geological and legal reasons.
Land Locations Planning a directional well presupposes some limiting factors in the positioning of the surface location. With land wells, the surface location of the well will usually be determined by the factors originally prompting the decision to drill a directional well as opposed to a vertical well.
Offshore Locations The main difference between positioning a surface location on land and offshore is that offshore directional programs tend to be drilled from multiwell structures and are not normally as restricted as on land (mountains, jungles, cities, etc.). In most cases, an offshore drilling rig can be placed anywhere above a reservoir. The decision concerning the placement of the surface structure tends to be more affected by reservoir management considerations than geographic necessity.
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Bottomhole Targets
2-23
Bottomhole Targets
Geological Requirements The first step in planning any well is to define the objective(s). A directional well can have one or more objectives:
• Geological structures
• Coring points
• Geological features (such as faults or pinch outs)
• Other wellbores (as with relief well drilling)
• Combination of these
In this section, we look at the way in which targets are defined. As we have seen, there are various means of referring to a surface location (UTM, geographic, etc.). The same is true for the target location with the addition of the vertical depth of the target.
Partial Coordinates When planning and drilling a well, it is simpler to use partial coordinates when referring to the target. This involves using the surface location as a reference point (surface reference point) and attributing this point with the value 0,0. All other coordinates can then be referred back to this point, thus simplifying calculation and plotting procedures. The Surface Reference Point (SRP) is usually the rotary kelly bushing, the wellhead or the platform reference point.
Once the exact location of the surface reference point and the target are known, the partial coordinates can easily be determined. Normally, these are either rectangular or polar.
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Bottomhole Targets
2-24
Bottomhole Targets
Rectangular Rectangular coordinates are usually given in feet/meters north or south and east or west of the SRP. They can easily be derived by subtracting the UTM coordinates of the SRP from those of the target. For example:
N/S (feet) E/W (feet)
UTM Coordinates Target 62,354,500.00 N 5,262,744.00 E
UTM Coordinates Surface -62,355,000.00 N -5,262,544.00 E
Partial Coordinates -500.00 200.00
A positive value denotes north or east; a negative value denotes south or west. The target in the above example is 500 feet south (-ve) and 200 feet east (+ve) of the SRP.
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Bottomhole Targets
2-25
Bottomhole Targets
Polar Polar coordinates are derived from the rectangular coordinates and are expressed as a distance (departure) and a direction (either quadrant or azimuth). These are derived from the rectangular (or Cartesian) coordinates as follows:
Azimuth = tan-1( ); or, in this case: tan-l( ) = 21.8°
As we know, the target is south and east of the surface reference point, we know the direction of the target from the rig is:
S 21.80 E in quadrant format or 158.2° Azimuth
Departure , or in this case: = 538.5
We can refer to our target in polar coordinates being 538.5 feet (or meters) at Azimuth 158.2°.
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Bottomhole Targets
2-26
Bottomhole Targets
Target Size During the drilling phase of a directional well, the trajectory of the wellbore in relation to the target is constantly monitored. Often, costly decisions have to be made in order to ensure that the objectives of the well are met. A well-defined target is essential in making these decisions. The technology available today allows us to drill extremely accurate wells. The cost of drilling the well is largely dependent on the accuracy required, so the acceptable limits of the target must be well-defined before the well is commenced.
Cost versus accuracy is the key consideration. In many cases, operating companies adopt an arbitrary in-house target size (or radius of tolerance), particularly in multi-well projects. The size of the target radius often reflects the convention rather than the actual geological requirements of the well. It is common for specific restrictions or hard lines to be specified only when they depict critical features such as:
• Fault lines
• Pinch outs
• Legal restrictions
• Lease line boundaries
Many directional wells have been unnecessarily corrected or sidetracked in order to hit a target radius which, in fact, did not represent the actual objective of the well.
HOW TO DETERMINE
MUD PULSE & EM
TOOLFACE OFFSETS
3-1 Toolface Offset Determination
NEGATIVE PULSE OFFSET TOOL FACE
OFFSET TOOL FACE (OTF) SHEET
This sheet is possibly the most important form that must be filled out correctly. All other work and activity performed by the MWD Operator means naught if the well must be plugged back with cement because of an incorrect OTF calculation (or the correct OTF not being entered into the TLW 2.12 software). Ensure that the OTF calculation is correct, entered into TLW 2.12 correctly and verified by the Directional Driller. The procedure for measuring the OTF is as follows: 1. Measure in a clockwise direction the distance from the MWD high side scribe to the motor high side scribe. Record this length into the OTF work sheet as the OTF distance. In the following example, this value is 351 mm. 2. Measure the circumference of the tubular at the same location where the OTF distance is being measured. Record this length into the OTF work sheet as the Circumference of Collar. 3. Calculate the OTF angle using the following formula: OTF Angle= OTF Distance x 360 Collar Cirumference From the above example, if the collar circumference is 500 mm, OTF Angle= (351/500) x 360 = 0.702 x 360 = 252.72o A sample form is as follows:
3-2 Toolface Offset Determination
NEGATIVE PULSE OFFSET TOOL FACE (O.T.F. MEASUREMENT)
Well Name: Enter in the Well Name here Date: Enter in date OTF taken LSD: Enter in the LSD here Time: Enter in time OTF taken Job #: Enter in the MWD job number here Run #: Enter in the run number
TOP VIEW OF MWD
MWD SCRIBE PROPER DIRECTION OF OTF
MEASUREMENT
MOTOR SCRIBE (HIGH SIDE)
O.T.F. Distance (Anchor Bolts to Collar Scribe): 351 mm Circumference of Collar: 500 mm O.T.F. Angle (Distance / Circumference) x 360: 252.72 degrees O.T.F Angle entered into Computer as: 252.72 degrees O.T.F. Distance measured by: Both MWD Operator Names O.T.F. Calculated by: Both MWD Operator Names O.T.F Entered into computer by: Both MWD Operator Names O.T.F. Measurement and calculation Witnessed by: Directional Driller(s) Name(s)
3-3 Toolface Offset Determination
NEGATIVE PULSE OFFSET TOOL FACE
3-4 Toolface O
252.72
ffset Determination
POSITIVE PULSE Toolface Offset
INTERNAL TOOL FACE OFFSET (TFO) SHEET
. Ensure that a zero OTF has een entered into TLW 2.12. The positive Tool Face Offset (TFO) sheet entries
e Pulser Set to High Side / Directional Driller: Enter the names f the MWD Operator and Directional Driller respectively.
value reported from the igh side tool face calibration from TLW 2.12.
Note: For the positive pulse MWD, the OTF is zerobare as follows: 1. Positive Pulso 2.Positive Pulse T.F.O. from PROGTM: Enter the T.F.O. h TFO internal toolface offset
3-5 Toolface Offset Determination
POSITIVE PULSE T.F.O. MEASUREMENT
ell Name: Enter in the Well Name here Date: Enter in date OTF taken W LSD: Enter in n time OTF the LSD here Time: Enter itaken Job #: Enter in the MWD job number here Run #: Enter in the run number
ROTATE PULSER TO HIGH SIDE
PULSER KEY WAY
PROPER DIRECTION
OF TFO
Positive Pulse Pulser Se Witness
DAS HIGH SIDE TAB
t to High Side: ame of MWD hand
MEASUREMENT
N
Directional Driller: ctional hand Witness Name of Dire Positive Pulse T.F.O. from PROGTM: 163.25 degrees Gravity Tool Face (gtface) Should Equal Zero: 0.00 degrees Motor Adjustment: 2.12 / G degrees/setting Alignment of Mule Shoe Sleeve Key to Motor Sc e: Name of 2nd Mrib WD hand Witness O.T.F.=0, Entered in Name of MWD hand to Computer by: All Calculations Witnessed by: Signature of Directional Driller
3-6 Toolface Offset Determination
3-7 Toolface Offset Determination
OTF – External Drill Collar Offset Magnetic Declination Toolface switch over
MWD - Positive Pulse
EM MWD Toolface Offset
agnetic Declination M
The “Bearing Display” GEOGRAPHIC radio button must be selected for the Declination value to be applied (by the surface software) to the transmitted magnetic hole direction.
3-8 Toolface Offset Determination
Toolface Offset
Zero tool face offset G4 – this is the internal ofalways
fset for the CDS probe; this value must om 0 to –360; this value is applied by the be entered as a NEGATIVE number fr
– this is the external (drill collar) offset; must be m the muleshoe boltholes to the m
hole, measure from the CSGx locking bolts to the measure from the tool carrier scribeline to the m
surface software. Tool face offset DC easured clockwise (looking toward bit) from ud motor scribeline (if using a stinger). For slim ud motor scribeline. When using a bipod m ud motor scribeline.
3-9 Toolface Offset Determination
The main page software display can be checked to verify that the appropriate declination nd toolface off mitted data.
a set are being applied to the trans
3-10 Toolface Offset Determination
Toolface Offset Summary Mud Pulse System Negative Pulse Positive Pulse
Internal Offset
DAS highside is mechanically oriented to align with pulser anchor bolts
Directional Probe (DAS) Determine offset as per procedure and PROGTM into the DAS
None
External Offset
Surface Software Measure clockwise from anchor bolts to motor 0° to +360° values permitted
Surface Software Typical: Muleshoe sleeve is aligned with motor scribeline, therefore offset = 0° Optional: If muleshoe sleeve is not aligned with motor scribeline, calculate offset as per procedure 0° to +360° values permitted
3-11 Toolface Offset Determination
EM System Electromagnetic Telemetry
Internal Offset
Surfac
etermine offset as per procedure and always enter value as a IVE number. (Zero toolfac
e Software
DNEGAT e offset G4, “Job Data” screen) 0° to -360° values permitted S ipod: Measure clockB
scribeline. 0° to +360° values pe tinger: Measu
itted.
uleshoe boltholes to mud motored.
Sscibeline. 0° to +360° values
t
sure clockwise from the CSGx . 0° to +360° values permitted.
External Offset
urface Software
wise from the tool carrier key to the mud motor rm
re clockwise from m permit
Slimhole: With CSGx module, mealocking bolt to mud motor scribeline
3-12 Toolface Offset Determination
Precision LWDTM Tool Face Offset
The Tool Face Offset is an external (drill collar) offset and must be measured clockwise, looking downward toward the bit from the HEL tool scribeline to the mud motor scribeline. This is one of the most important measurements that the LWD Engineer makes and MUST be done correctly. All other work and activity performed by the LWD Engineer means naught if the well must be plugged back with cement because of an incorrect TFO calculation (or the correct TFO not being entered into the Spectrum software). Ensure that the TFO calculation is correct, entered into Spectrum correctly and verified by the Directional Driller.
The procedure for measuring the TFO is as follows: 1. Measure in a clockwise direction the distance from the HEL tool’s
high side scribe to the motor high side scribe. Record this length into the TFO work sheet as the TFO distance. In the following example, this value is 351 mm.
2. Measure the circumference of the tubular at the same location where the TFO distance is being measured. Record this length into the TFO work sheet as the Circumference of Collar.
3. Calculate the TFO angle using the following formula:
360tan∗=
nceCircumfereCollarceDisTFOAngleTFO
From the above example, if the collar circumference is 500 mm,
oAngleTFO 72.252360702.0360500351
=∗=∗=
A sample form is as follows:
Computalog USA, Inc. This document contains Company proprietary information which is the confidential property of Computalog Drilling Services and shall not be copied, reproduced, disclosed to others, or used in whole or in part for any other purpose or reason except for the one it was issued without written permission.
Computalog USA, Inc. This document contains Company proprietary information which is the confidential property of Computalog Drilling Services and shall not be copied, reproduced, disclosed to others, or used in whole or in part for any other purpose or reason except for the one it was issued without written permission.
Computalog Drilling Services
Directional Sensors
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Survey intro.doc date 4-1 Doc. # TD2007.rev A
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INTRODUCTION The Directional Sensor is made up of electronic printed circuit boards, a Tensor Tri-Axial Magnetometer and a Tensor Tri-Axial Accelerometers, and Temperature sensor. These modules are configured into a directional probe and are run in the field mounted in a nonmagnetic drill collar. The Directional Sensor provides measurements, which are used to determine the orientation of the drill string at the location of the sensor assembly. The Directional Sensor measures three orthogonal axis of magnetic bearing, three orthogonal axes of inclination and instrument temperature. These measurements are processed and transmitted by the pulser to the surface. The surface computer then uses this data to calculate parameters such as inclination, azimuth, high-side toolface, and magnetic toolface. The sensor axes are not perfectly orthogonal and are not perfectly aligned, therefore, compensation of the measured values for known misalignments are required in order to provide perfectly orthogonal values. The exact electronic sensitivity, scale factor and bias, for each sensor axis is uniquely a function of the local sensor temperature. Therefore, the raw sensor outputs must be adjusted for thermal effects on bias and scale factor. Orthogonal misalignment angles are used with the thermally compensated bias and scale factors to determine the compensated sensor values required for computation of precise directional parameters.
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Survey intro.doc date 4-2 Doc. # TD2007.rev A
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DIRECTIONAL SENSOR HARDWARE The figure above shows the basic configuration of the Directional Sensor probe. The directional probe is mounted to the MWD assembly and keyed into a Non-Magnetic Drill Collar. The nominal length of the sub is 30 feet. The nonmagnetic collar is usually referred to as Monel. DIRECTIONAL SENSOR COMPONENTS Contained inside the assembly is a Single Port MPU, Triple Power Supply and a Digital Orientation Module. The Single Port MPU is a modular micro-controller assembly based on the Motorola MC68HCll microprocessor implementing Honeywell's qMIXTM communications protocol (qMIX/ll TM). The Triple Power Supply provides regulated power for the complete assembly. The microprocessor provides the control and timing to interface the logic circuit controls the analog power switch. With the analog power switch off only the 5 volt circuits are active and the current drain from the sub bus is approximately 8 milliamps. When the logic board switches on the analog power switch, battery power is directed to the 12 volt regulator on the analog circuit. The current drain with the analog power switch on and the sensors off is approximately 80 milliamps. With the accelerometers powered up the current drain is approximately 120 milliamps. With the magnetometer powered up the current drain is approximately 140 milliamps. Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced
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Survey intro.doc date 4-3 Doc. # TD2007.rev A
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ANALOG Circuit The Analog Circuit provides an interface with the inclinometer, magnetometer, and pressure transducer sensors. The 16 channel multiplexer on the analog circuit takes input from various sensor outputs and sends the data to the logic circuit for transmission. A sensor power switch takes power from the 12 volt regulator and selectively powers up the accelerometers and magnetometers. A 5 volt excitation supply from the 12 volt regulator is used to power the pressure transducer. The status voltages appear on the surface probe test and are defined as follows: 1. Sub Bus Voltage - battery voltage on the sub bus. 2. 5 Volt Supply - the 5 volt excitation supply from the 12 volt regulator that powers the pressure transducer.
3. Accelerometer Power Status - voltage that is currently being supplied to the inclinometer (0 or 12.5v).
4. Magnetometer power Status - voltage that is currently being supplied to the magnetometer (0 or 12.5v). 5. Steering Mode Status - 4.5 volts when steering mode is set. TENSOR INCLINOMETER The TENSOR Tri-axial Accelerometer measures three orthogonal axes of inclination (Gx, Gy, and Gz) and also includes a temperature sensor. The inclinometer has a 1g full scale output in survey mode and a 7 g full scale output in steering mode. The sensor operates within the following parameters: 1. Input Voltage +/- 12.5 to 15.5 volts 2. Input Current < 80 ma/g 3. Accelerometer Output 3.0 ma/g
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Survey intro.doc date 4-4 Doc. # TD2007.rev A
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ACCELERATION
ACCELERO M ETER
UPPER M AGNET
TORQUER COIL
CHEM ICALLY M ILLEDHINGE
LEAD SUPPORT POSTS
LOW ER M AGNET
QUARTZ PROOF M ASS
CAPACITANCE
PICKOFF
The inclinometer is made up of three accelerometers. The operation of the accelerometer is based on the movement of a quartz proof mass during acceleration. The figure above is a diagram of a accelerometer. The accelerometer consists of two magnets and a quartz disc with a coil attached to it. The quartz disc is a proof mass with a hinge that has been chemically etched to allow movement in one direction. A torquer coil is attached to the proof mass, which is suspended between the two permanent magnets. The proof mass position is maintained by applying current to the torquer coil. The magnets have reference plates, which measure the capacitance between the two magnets. When a force is applied to the accelerometer, movement of the proof mass changes the capacitance. A circuit detects the change in capacitance and applies current to the torquer coil to restore the proof mass to its original position. The amount of current required to restore the proof mass to its original position is a function of the amount of force applied to the accelerometer. Force is related to acceleration by F = ma. We measure the acceleration of gravity in g's (gravity units) in
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Survey intro.doc date 4-5 Doc. # TD2007.rev A
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three orthogonal directions relative to the Directional Sensor probe. This allows us to calculate the inclination of the tool relative to vertical. The scaling of the X and Y accelerometer channels depends on the operational mode (survey or steering), while the Z channel and the temperature sensor have the same scaling for both modes. The full scale output voltage sensitivity for each mode is as follows: CHANNEL SURVEY STEERING 1. X Accelerometer 4.5 v/g 642 mv/g 2. Y Accelerometer 4.5 v/g 642 mv/g 3. Z Accelerometer 4.5 v/g 4.5 v/g 4. Temperature 10 mv/deg K 10 mv/deg K TENSOR MAGNETOMETER The Tensor Tri-axial Magnetometer measures three orthogonal axes of magnetic bearing (Bx, By, and Bz) as well as temperature. The Tensor Model 7002MK Magnetometer has an output operating range of plus and minus 100,000 Nanotesla (the earth's field is about 50,000 Nanotesla) and operates within these parameters: 1. Input voltage +/- 12 - 18 vdc 2. Input current 25 milliamps 3. Flux Gate Output 1 mv / 20 Nanotesla 4. Temperature Output Voltage 10 mv / oK
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Survey intro.doc date 4-6 Doc. # TD2007.rev A
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he Tensor magnetometer is a saturable core device. It consists of two coils with a
the tri-axial set of magnetometers, the three flux gate channels and temperature
TENSOR RING CO RE FLUX G ATE M AG NETOM ETER
OSC DRIVER
PEAK DET
SERVOAM P
OUTPUTAM P
EXTERNALM AGNETIC FIELD
Tcore between them, which has a certain magnetic permeability. A magnetic field produced by one coil travels through the core and induces a current in the other coil. The core will only transmit a certain amount of magnetic field, that is , when the level of magnetic flux gets to a certain point the core will become saturated and greater amounts of flux will not pass through the core. The point at which a substance becomes saturated is a property of that substance, i.e. certain metals will saturate sooner than others. The magnetometer continually drives the core to saturation. In the presence of an external magnetic field the point that the core saturates is shifted. The signal shift is detected, amplified, and fed back as a bucking magnetic field to maintain the core at a balanced around zero magnetizing force. The servo amplifier offset caused by the signal shift is further amplified and presented as the output of the magnetometer. Inchannel are supplied power conditioned by a common pair of internal regulators. The individual magnetometer transducers come in biaxial sets. The magnetometer
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Survey intro.doc date 4-7 Doc. # TD2007.rev A
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package contains two biaxial magnetometers, of which only three axes are used. The sub bus around the magnetometer requires particular attention because the current through the sub bus is alternating current, any change in that current will produce a magnetic field that can affect the magnetometer. DIRECTIONAL SENSOR MEASUREMENTS AND CALCULATION
he measurements that we make with the DIRECTIONAL SENSOR are made relative to Tthese axes. The X-axis is perpendicular to the tools long axis and is in the direction of the scribe line etched on the DIRECTIONAL SENSOR nonmag sub. The Y-axis is also perpendicular to the long axis. The Z-axis is along the long axis of the DIRECTIONAL SENSOR; in the direction the hole is being drilled. The scribe line on the DIRECTIONAL SENSOR sub allows measurement of the relationship between the tools axis and the bent sub or mud motor scribe line. This measurement is called the toolface offset. The toolface offset is measured by extending the bent sub scribe line to the DIRECTIONAL SENSOR scribe line and measuring the degrees offset with a compass. The measurement is made from _________ scribe line to _____________ scribe line using the right hand rule, thumb pointing in the direction of the hole, measure in the direction the fingers of your right hand are pointing. Running a highside orientation program in the MWD software can also make the measurement.
TO O L PHYSICAL AXIS
scribe line
X
Y Z
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Survey intro.doc date 4-8 Doc. # TD2007.rev A
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The main parameters that we calculate with the raw data from the DIRECTIONAL SENSOR are as follows: Highside Toolface is the angle between the deflection tool scribe line and the top or highside of the hole. This is calculated using the X-axis and Y-axis inclinometer measurements. Magnetic Toolface is the direction that the deflection tool scribe line is pointing relative to true or grid north. This is calculated using the X-axis and Y-axis magnetometer measurements.
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Survey intro.doc date 4-9 Doc. # TD2007.rev A
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Inclination is the angle between vertical and the wellbore in the vertical plane. We measure this angle by measuring the direction that gravity acts relative to the tool. Gravity acts in a vertical direction and has a magnitude of 1 g at sea level at the equator. Azimuth is the direction of the wellbore relative to true or grid north in the horizontal plane. We measure this angle by measuring the direction of the earth's magnetic field relative to the tool. Magnetic Declination is the difference in degrees between magnetic north and true north or grid north for a particular location on the earth. This value changes with time and location and must be determined using the software program. On a directional well it is important that the value for magnetic declination that we use is the same one that the directional driller is using. Usually there will be a difference between the value that the software calculates and the one that the directional driller provides, however, always use the value provided by the directional driller. Magnetic Field Strength is the total magnitude of the earth's magnetic field in Nanotesla
for a particular location on the earth. This value also changes with time and location and can be determined using the software program. Magnetic Dip Angle is the angle between horizontal and the earth's magnetic field force lines. This angle increases as you go north toward the magnetic north pole. If you were exactly on top of the magnetic north pole the angle would be 90 degrees.
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Survey intro.doc date 4-10 Doc. # TD2007.rev A
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HIGHSIDE TOOLFACE The X-axis and Y-axis inclinometer measurements are required to calculate highside toolface. The figure below is a vector diagram showing the highside toolface measurement. On the left is a diagram of the tool and its relationship to the X - Y plane and the gravity vector, along with the components of gravity in the X - Y plane and on the Z-axis. Gxy is the vector sum of the X and Y components of the gravity vector
measured by the tool. On the right is a diagram of the X - Y plane showing the X and Y components of the gravity vector and the sum Gxy. Highside toolface is the angle between the X axis and the highside of the hole and is calculated as follows: Gxy = ( Gx2 + Gy2)1/2 COS ( HSTF) = -Gx / Gxy
SIN (HSTF) = Gy / Gxy HSTF = ATAN ( Gy / -Gx ) or HSTF = ATAN2 ( Gy, -Gx) Where: Gx = Gravity vector in the X direction Gy = Gravity vector in the Y direction Gxy = Sum of the X and Y vectors HSTF = Highside toolface and all vectors are in gravity units. Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced
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Survey intro.doc date 4-11 Doc. # TD2007.rev A
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MAGNETIC TOOLFACE The X-axis and Y-axis magnetometer measurements are required to calculate magnetic toolface. Bxy is the vector sum of the X and Y components of the magnetic vector measured by the tool. Magnetic toolface is the direction the scribeline is pointing and is calculated as follows: Bxy = ( Bx2 + By2)1/2
MTF = ATAN ( By / -Bx ) or MTF = ATAN2 ( By, -Bx) Where: Bx = Magnetic vector in the X direction By = Magnetic vector in the Y direction Bxy = Sum of the X and Y vectors MTF = Magnetic toolface and all vectors are in gravity units.
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Survey intro.doc date 4-12 Doc. # TD2007.rev A
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INCLINATION
To calculate inclination we use the X, Y, and Z inclinometer measurements. The figure shows a diagram of the tool and the relevant axes. Again, Gxy is the sum of the X and Y components of the gravity vector as calculated above. Gz is the Z component of the gravity vector as measured by the tool. Gtotal is the total gravity vector and is the sum of the X, Y, and Z components. This sum should be equal to 1 g, as long as your elevation is relatively close to sea level. Inclination is the angle between the Z axis and vertical and is calculated as follows: Gtotal = ( Gxy2 + Gz2 )1/2 Sin ( INC ) = Gxy / Gtotal or INC = ASin Gxy Cos ( INC) = Gz / Gtotal or INC = ACos Gz INC = ATAN ( Gxy / Gz ) INC = ATAN2 (Sin (HSTF) Gy – Cos (HSTF) Gx, Gz)
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Survey intro.doc date 4-13 Doc. # TD2007.rev A
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Where: Gxy = the sum of X and Y gravity components Gz = the Z axis gravity component Gtotal = the sum of the X, Y, and Z gravity components INC = inclination units are in g's. Note that since we know that Gtotal is 1 g, we can calculate inclination from only the X and Y measurements, or only the Z measurement if one of the accelerometers fail, however, if only Gz is known the accuracy at low angles is less because the Z accelerometer is near full scale. For Gz only: Not accurate for inclination less than 15o +/- 1/2o accuracy for inclination greater than 15o and less than 30o +/- 1/4o accuracy for inclination greater than 30o and less than 45o +/- 1/8o accuracy for inclination greater than 45o LONG COLLAR AZIMUTH To calculate azimuth using the conventional method the following data is required: 1. Bx = magnetic field vector in the X direction 2. By = magnetic vector in the Y direction 3. Bz = magnetic vector in the Z direction 4. HSTF = highside toolface 5. INC = inclination Azimuth is referenced in the horizontal plane to true or grid north. The magnetic field that we measure, however, is at some angle from the horizontal, that is the magnetic dip angle. Therefore to reference our measurement to true north in the horizontal plane we
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Survey intro.doc date 4-14 Doc. # TD2007.rev A
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must project the magnetic vector to the horizontal. This is why you need HSTF and inclination to calculate azimuth. Where: Bn = horizontal component of the magnetic vector Btotal = total magnetic field strength DIP = magnetic dip angle
Combining the above equations for raw azimuth yields the following: Bx Sin (HSTF) + By Cos (HSTF) AZ = ATAN {--------------------------------------------------------------------------} (Bx Cos (HSTF) - By Sin (HSTF)) Cos (Inc) + Bz Sin (Inc)
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Survey intro.doc date 4-15 Doc. # TD2007.rev A
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SHORT COLLAR AZIMUTH Traditional compass type surveying instruments with their ability to sense only the direction of the local magnetic field vector must be used in conjunction with enough nonmagnetic drill collars so that the local magnetic field vector is uncorrupted by drill string magnetization. With solid state magnetometers and their ability to measure 3 orthogonal axes of the local magnetic vector it is possible to compensate for axial magnetization and use much shorter lengths of nonmagnetic material. Azimuth is defined as any azimuth measurement made with respect to the local magnetic field without correction, ie. the long collar azimuth. When there is no magnetic interference the azimuth is the true azimuth, otherwise an extraneous magnetic field produces a systematic error in the azimuth measurement and the long collar azimuth differs from the true azimuth. The short collar azimuth is based upon a patented technique that uses the magnitudes of the magnetic field components Bx and By in conjunction with the known values of the earth's magnetic field strength and dip angle to compensate for the corrupted Bz measurement. An instrument used with the corrected azimuth technique requires highly accurate calibration, because the absolute magnitudes of the field vector components are required. The long collar azimuth, however, requires only ratios of the magnitudes of these components, thus reducing the calibration complexity and scale factor errors for this measurement. SURVEY QUALITY The following items will be used to validate a MWD survey:
Gtotal = (Gx2 + Gy2 +Gz2 ) ½ G total - this value is equal to (Gx2 + Gy2 + Gz2)1/2, and should be within +0.003 g of the local gravity, which is 1.000 g in most locations. A Gtotal value outside of these limits may indicate that the Directional Sensor did not achieve stability during accelerometer polling, there was a hardware failure, BHA movement or improper misalignment and/or scale/bias values were used.
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Survey intro.doc date 4-16 Doc. # TD2007.rev A
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Btotal = (Bx2 + By2 +Bz2 ) ½ B total is equal to (Bx2 + By2 + Bz2)1/2, and should trend consistently over the interval of a bit run. Under ideal conditions, i.e., no cross-axial or axial magnetic interference, Btotal should read the earth's local magnetic field strength. Abrupt variations in Btotal during a bit run will be caused by a "fish", a nearby cased well bore, certain mineral deposits, solar events, localized magnetic anomalies, or a hardware failure. Since all of the above will typically affect all three magnetometer responses, magnetic interference will be detectable by tracking the Btotal value.
As a general guideline, Btotal should not vary by more than +- 350 Nanotesla from the local magnetic field strength or from survey to survey during a bit run. The local magnetic field strength is determined by using magnetic modeling software or directly measuring it through infield referencing. Surveys which do not conform to this guideline should alert the field engineer that some magnetic interference is probable or that there was a hardware failure. Btotal may also change abruptly from bit run to bit run due to a change in BHA configuration, which does not have the correct Monel spacing.
Magnetic Dip Angle should trend consistently over the interval of a bit run. Under ideal conditions, (i.e., no cross-axial or axial magnetic interference or pipe movement), MDIP should read the earth's local magnetic dip angle. Abrupt variations in MDIP during a bit run will be caused by a "fish", a nearby cased well bore, certain mineral deposits, solar events, localized magnetic anomalies, pipe movement or a hardware failure. (Bx * Gx) + (By * Gy) + (Bz * Gz) MDIP = ASIN {-------------------------------------------------------} Gtotal * Btotal As a general guideline, MDIP should not vary by more than +- 0.3 degrees from the local magnetic dip angle or from survey to survey during a bit run. The local magnetic dip angle is determined by using magnetic modeling software or directly measuring it through infield referencing. Surveys which do not conform to this guideline should alert the field engineer that some magnetic interference or pipe movement is probable, or that there was a hardware failure. MDIP may also Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced
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Survey intro.doc date 4-17 Doc. # TD2007.rev A
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change abruptly from bit run to bit run due to a change in BHA configuration, which does not have the correct Monel spacing. MAGNETIC INTERFERENCE Magnetic interference problems when surveying a well are usually due to casing or a fish that has been left in the hole. Unfortunately, the majority of the magnetic interference problems occur when the accuracy of our azimuth is very critical. A well is usually kicked off just below a casing shoe or through a window in the casing. The casing is a large concentration of magnetic material, the ends of which act like magnetic poles from which the curving flux lines cause magnetic interference. On production platforms or pads nearby wells can cause interference as well. The magnetic interference that we are primarily concerned with is in the X and Y direction. This is due to the fact that magnetic toolface uses the X and Y magnetometers to calculate toolface. Also with the Short collar method of surveying, only the X and Y magnetometers are used. A good way of determining how much magnetic interference we are getting on the Z-axis with the Short collar method is to compare Btotal measured with Btotal calculated. The X and Y magnetometers will react to magnetic interference in the same manner as the Z magnetometer. This would mean that a perpendicular distance of about 30' would be required when kicking off near casing. The orientation of the casing with respect to the magnetometers may have some effect on how much azimuth is affected. As the tool is rotated, X and Y interference changes, but Btotal should stay the same.
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Survey intro.doc date 4-18 Doc. # TD2007.rev A
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Non-Mag Spacing
When kicking off a well below casing, it is necessary to have at least 10 diameters of clearance between the shoe and the DIRECTIONAL SENSOR. When kicking off next to another well or a fish, where the magnetic interference is perpendicular to the tool, up to 30' clearance may be required to obtain good magnetic toolface or surveys. Take special care when running a magnetic survey to prevent the effects of magnetic interference. Such interference can be caused by proximity to steel collars and by adjacent casing, hot spots in nonmagnetic collars, magnetic storms, and formation with diagenetic minerals.
Nonmagnetic drill collars are used to separate the electronic survey instrumentation from the magnetic fields of Drill string both above and below and prevent the distortion of the earth's magnetic field at the sensor. The collars are of four basic compositions: (I) K Monel 500, an alloy containing 30% copper and 65% nickel, (2) chrome/nickel steels (approximately 18% chrome, 13% nickel), (3) austenitic steels based on chromium and manganese (over 18% manganese) and (4) copper beryllium bronzes. Currently, austenitic steels are used to make most nonmagnetic drill collars. The disadvantage of the austenitic steel is its susceptibility to stress corrosion in a salt mud environment. The K Monel and copper beryllium steels are to expensive for most drilling operations; both however are considerably more resistant to mud
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Survey intro.doc date 4-19 Doc. # TD2007.rev A
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correction than austenitic steels. The chrome/nickel steel tends to gall, causing premature damage to the threads. When the electronic survey instrumentation is located in a nonmagnetic collar between the bit and steel collars the distortion of the earths magnetic field is minimized and it is isolated from drill string interference generate both above and below the electronic survey instrumentation unit. The number of required nonmagnetic collars depends on the location of the well bore on the earth and inclination and direction of the well bore. The figure above is a compilation of empirical data that are fairly reliable in selecting the number of nonmagnetic drill collars. First, a zone is picked where the well bore is located either zone 1, 2 or 3. Then the expected inclination and direction are used locate the curve, either A, B or C. Example, on the north slope of Alaska a well plan calls for an inclination of 60 degrees and a magnetic north azimuth of 50 degrees. Solution, The north slope of Alaska is in zone 3. From the chart for zone 3 at 60 degrees inclination and 50 degrees magnetic north azimuth, the point falls in Area B, indicating the need for two 30’ magnetic collars with the electronic survey instrumentation unit 8 -10 feet below the center. This is just a recommendation and the survey should always be checked to make sure it is with in acceptable tolerances of the (non-corrupted) earth's magnetic field.
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Survey intro.doc date 4-20 Doc. # TD2007.rev A
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90
70
60
50
40
30
20
10
10 20 30 40 50 60 70 80 90
ZONE 190
70
60
50
40
30
20
10
ZONE 290
70
60
50
40
30
20
10
ZONE 3
10 20 30 40 50 60 70 80 90 10 20 30 40 50 60 70 80 90
Empirical Data Charts for Nonmagnetic Drill Collar Spacing
Direction Angle from Magnetic N or S Direction Angle from Magnetic N or S Direction Angle from Magnetic N or S
Compass SpacingArea A 18’ collar: 1’ to 2’ below centerArea B 30’ collar: 3’ to 4’ below centerArea C tandem 18’+25’: center of
bottom collar
Compass SpacingArea A 30’ collar: 3’ to 4’ below centerArea B 60’ collar: at centerArea C 90’ collar: at center
Compass SpacingArea A 60’ collar: at centerArea B 60’ collar: 8’ to 10’ below centerArea C 90’ collar: at center
80 80 80
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Survey intro.doc date 4-21 Doc. # TD2007.rev A
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SURVEY ACCURACY Survey accuracy is a function of both instrument related uncertainties and systematic uncertainties. Instrument related uncertainties include such things as sensor performance, calibration tolerances, digitizer accuracy, and resolution. This is defined as the baseline uncertainty and it is present in all survey sensors. Systematic uncertainties are a function of magnetic interference from the drill string and can be reduced by housing the instrument in a longer nonmagnetic drill collar. The total uncertainty is equal to the baseline uncertainty plus the systematic uncertainty. The long collar azimuth, when measured in an environment free from magnetic interference, will always provide the most accurate azimuth, the only uncertainty being the baseline uncertainty. The Short collar algorithm corrects for systematic uncertainties due to the presence of magnetic interference along the Z axis of the magnetometer. For the Short collar method, the systematic uncertainty is in the values that we obtain for the magnetic field strength and dip angle. Due to the fact that this uncertainty is along the Z axis, survey accuracy will be a function of inclination and azimuth, as well as dip angle and magnetic field strength. If we consider only the baseline uncertainty, in the absence of magnetic interference, survey accuracy will be a function of inclination and magnetic dip angle. This relationship is shown in figures below, where Bn (Bnorth) is defined as the projection of the magnetic field vector in the horizontal plane, Berror is defined as the baseline uncertainty and has a constant value, and Bref is defined as the measured magnetic field vector (Bref = Bn + Berror). As shown in the figure below, as the inclination increases, the horizontal projection of Berror is a larger percentage of Bref resulting in a decrease in survey accuracy. In the figure below, the effect of magnetic dip angle on survey accuracy is shown. As the magnetic dip angle increases, the size of the horizontal
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Survey intro.doc date 4-22 Doc. # TD2007.rev A
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SUR VEY A C C U R A C Y AS A FU NC TIO N O F INCLINATIO N
NO RTH
VER TIC A L
B ref @ IN C 2
B ref @ IN C 1
B error
IN C 1
IN C 2
B error IS A LA R G ERPER C EN TA G E O F B ref A TH IG H ER IN C LIN A TIO N S
B n1
B n2
projection of Bn decreases, resulting in a larger percentage of Berror in Bref. Thus anything that causes the horizontal projection of Berror to increase or Bn to decrease results in a decreased survey accuracy. For systematic uncertainty, the uncertainty is along the Z-axis. This will result in decreased survey accuracy when drilling east or west as opposed to drilling north or south. This is due to the fact that Berror will tend to pull Bref in the direction of the Z-axis, away from Bn. This relationship is shown in the figure below.
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Survey intro.doc date 4-23 Doc. # TD2007.rev A
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Survey intro.doc date 4-24 Doc. # TD2007.rev A
SURVEY ACCURACY AS A FUNCTION OF M AGNETIC DIP
E F F E C T D R IL L IN G E A S T O R W E S TO N S U R V E Y A C C U R A C Y
Z A X IS
N O R T H
B n
E A S T
B ref = B n + B erro r
B erro r
A Z IM U T H
E R R O RINA Z IM U T H
NORTH
VERTICAL
CONSTANTBerror
Bn
Bn
AS M AG DIP INCREASESBerror IS A LARGER PERCENTAGEOF Bref
INCREASINGM AG DIP
Bref
Bref
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DIRECTIONAL SENSOR CALIBRATION The accuracy of borehole azimuth and inclination measurements are largely dependent on our ability to identify and correct constituent errors in the individual sensors that are used to calculate the directional parameters of the well bore. These sensors include the three orthogonal accelerometers and three orthogonal magnetometers. The calibration process is based upon the known value of the total field intensity of both the gravity and magnetic fields at the location of the calibration. Each sensor is rotated through the known field and its output is compared with known values. This process yields a set of values for bias, scale factor, and alignment corrections over a range of temperatures from room temperature to the upper operating limit. The data is fit to a third order polynomial so that the correction factors can be applied at any given temperature within the operating range of the tool. To be certain that the a calibration technique will meet the performance as well as maintenance objectives it must meet the following objectives: 1. Total package evaluation 2. Repeatability 3. Tolerant of positioning errors during calibration 4. Reliability under down hole conditions The calibration is performed at the highest level of assembly through the instruments data acquisition system and final housing. This allows a total package model to be built so that errors do not accumulate as separate modules are incorporated into each other. Repeatability and tolerance to positioning errors during calibration is achieved by establishing specific performance standards for each sensor and through the methodology of the calibration itself. Reliability under down hole conditions is addressed at the Materials Testing Laboratory by exposing each sensor to vibration and thermal cycling while monitoring their output. Reliability is also achieved through failure analysis and design and modification of the sensor package.
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CALIBRATION METHODOLOGY The calibration procedure consists of rotating the sensor through the field of investigation for each axis and comparing the output with known values. Examine the ideal response of a single axis rotation, at 0 degrees the sensor axis is aligned with the field and the output voltage is at a maximum. As you rotate the sensor counter clockwise the voltage decreases until at 90 degrees the output goes to 0 volts. As you continue to rotate the sensor counter clockwise the output voltage goes negative above 90 degrees and reaches a maximum negative value at 180 degrees. The response as you go from 180 to 360 degrees is similar. Note that this response applies to both accelerometers and magnetometers when rotated through the gravity or magnetic field. Scale factor corrections scale the output of the sensor to a given standard so that all sensors will have the same voltage response to a given field. Alignment errors are positioning errors between the individual transducers and the DIRECTIONAL SENSOR probe true physical axis. The computation of bias, scale factor, and alignment corrections based on the examination of a single axis would put considerable accuracy requirements upon both the calibration fixtures and the personnel that operate them. By performing an analysis using data simultaneously obtained from multiple axes greatly reduces sensitivity to positioning errors and improves repeatability.
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
Survey intro.doc date 4-26 Doc. # TD2007.rev A
Computalog Drilling Services
REFERENCES 1. Estes, R. A., and Walters, P. A., "Improvement of MWD Azimuth Accuracy by use of Iterative Total Field Calibration Technique and Compensation for System Environmental Effects", SPE paper presented at the 1986 MWD Seminar, May 16. 2. Russell, A. W., and Roesler, R. F., "Reduction of Nonmagnetic Drill Collar Length Through Magnetic Azimuth Correction Technique" , paper SPE / IADC 13476 presented at the 1985 Drilling Conference, New Orleans
Confidential and Proprietary information of Computalog USA and Computalog LTD. This material is not to be reprinted, reproduced electronically or used for any purpose without the expressed written consent of Computalog.
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Goxy = (gx2 + gy2) 1/2 Boxy =(bx2 + by2) 1/2 Gtotal = (gx2 + gy2 +gz2 ) 1/2 Btotal = (bx2 + by2 +bz2 ) 1/2 HSTF = ATAN (Gy / -Gx) this does not correct for quadrant HSTF = ATAN2 ( Gy, -Gx) this does correct for quadrant MTF = ATAN (By/ -Bx) this does not correct for quadrant MTF = ATAN2 (By, -Bx) this does correct for quadrant INC = ATAN (Goxy / Gz) this does not work above 90o INC = ATAN2 (Sin (HSTF) Gy – Cos (HSTF) Gx, Gz) this works above 90o
INC = ASIN (Goxy) INC = ACOS (Gz) Bx Sin (HSTF) + By Cos (HSTF) AZ = ATAN {--------------------------------------------------------------------------} (Bx Cos (HSTF) - By Sin (HSTF)) Cos (Inc) + Bz Sin (Inc) (Bx * Gx) + (By * Gy) + (Bz * Gz) MDIP = ASIN {-------------------------------------------------------} Gtotal * Btotal
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Take special care when running a magnetic survey to prevent the effects of magnetic interference. Such interference can be caused by proximity to steel collars and by adjacent casing, hot spots in nonmagnetic collars, magnetic storms, and formation with diagenetic minerals. Nonmagnetic drill collars are used to separate the electronic survey instrumentation from the magnetic fields of Drillstring both above and below and prevent the distortion of the earth’s magnetic field at the sensor. The collars are of four basic compositions: (1) K Monel 500, an alloy containing 30% copper and 65% nickel, (2) chrome/nickel steels (approximately 18% chrome, 13 % nickel), (3) austenitic steels based on chromium and manganese (over 18% manganese) and (4) copper beryllium bronzes. Currently, austenitic steels are used to make most nonmagnetic drill collars. The disadvantage of the austenitic steel is its susceptibility to stress corrosion in a salt mud environment. The K Monel and copper beryllium steels are to expensive for most drilling operations; both however are considerably more resistant to mud corrosion than austenitic steels. The chrome/nickel steel tends to gall, causing premature damage to the threads. When the electronic survey instrumentation is located in a nonmagnetic collar between the bit and steel collars the distortion of the earths magnetic field is minimized and it is isolated from drill string interference generate both above and below the electronic survey instrumentation unit. The number of required nonmagnetic collars depends on the location of the wellbore on the earth and inclination and direction of the wellbore. The figure above is a compilation of empirical data that are fairly reliable in selecting the number of nonmagnetic drill collars. First, a zone is picked where the wellbore is located either zone I, II or III. Then the expected inclination and direction are used locate the curve, either A, B or C. Example , on the north slope of Alaska a well plan calls for an inclination of 55 degrees and an azimuth of 40 degrees. Solution, The north slope of Alaska is in zone III. From the chart for zone III at 55 degrees inclination and 40 degrees azimuth, the point fall just below curve B, indicating the need for two magnetic collars with the electronic survey instrumentation unit 8 – 10 feet below the center. This is just a recommendation and the survey should always be checked to make sure it is with in acceptable tolerances of the (non-corrupted) earth’s magnetic field. Tolerances Total Magnetic Field +/- 0.003 gauss Magnetic Dip Angle +/1 .15 degrees Reference Bourgoyne, Millhelm, Chenevert, Young: “Applied Drilling Engineering” SPE textbook series, vol. 2, 1991.
Basic Math ConceptsModule Objectives
6-1
Basic Math Concepts
Directional drillers require a knowledge of basic math concepts, including a minimum competence in algebra, geometry, and trigonometry. You generally perform any calculations required at the rigsite using a computer or programmable calculator, but it is useful to check them by hand.
Module Objectives
Solve simple trigonometric equations.
Understand basic trigonometric functions.
Geometry
The directional driller may be asked to perform calculations involving angles, right triangles, and similar triangles.
Basic Math ConceptsGeometry
6-2
Right Triangles
A right triangle is one in which one of the angles equals 90o. Consequently, the sum of the other two angles is also 90o.
In the illustration below, if b = 28o15’, find angle a.
Figure 1 Finding missing angles in a right triangle
c = 90o
b + a = 90o
a = 90o - 28o15’
a = 61o45’
c
a
b
c = 90°
b = 28° 15’
Basic Math ConceptsTrigonometry
6-3
Trigonometry
The directional driller may be asked to solve simple trigonometric equations.
In a right triangle, such as the one shown below, the side opposite to the right angle (side C) is called the hypotenuse.
Figure 2 Relationship of angles to sides in a right triangle
c = 90°
a
b
CB
A
Basic Math ConceptsTrigonometry
6-4
Sines, Cosines, Tangents, and Cotangents
The following trigonometric functions are defined:
Figure 3 Trigonometric functions for angle a
c = 90°
a
b
C (Hypotenuse)B
()
Adja
cent
A ( )Opposite
asinOpposite
Hypotenuse-------------------------------
AC----= =
acosAdjacent
Hypotenuse-------------------------------
BC----= =
atanOppositeAdjacent------------------------
AB---= =
Basic Math ConceptsTrigonometry
6-5
Figure 4 Relationships among complementary angles in a right triangle
Therefore, sin a = cos b and cos a = sin b.
In a right triangle, the sum of the two complementary angles is 90o. The sine of one complementary angle is the same as the cosine of its complement. The cosine of one complementary angle is the same as the sine of its complement.
If the complementary angle of a right triangle are 60o and 30o, then:
sin 60o = cos 30o = 0.866025
cos 60o = sin 30o = 0.5
The components of a right triangle are three sides and two angles (the third angle is 90o). Knowing the value of two components, you can solve for the other components.
c = 90°
a
b
CB
A
asin AC----= acos B
C----= bsin B
C----= bcos A
C----=
Basic Math ConceptsTrigonometry
6-6
Figure 5 Solving for components in a right triangle
Given B = 30 and a = 60o:
Therefore, = 60
c = 90°
a = 60°
b
C= ?
B=
30
A = ?
acos BC----= C
Bacos
-----------= C30
60cos--------------=
60cos 0.50= C30
0.50----------=
asinAC----=
A C asin×=
A 60 60sin×=
60sin 0.866025=
A 51.96=
Basic Math ConceptsTrigonometry
6-7
Derivations of Sine
Using the equation for sine, we can use algebra to find for any of the variables.
Use the Sine equation to find the Hypotenuse:
Multiply both sides by the Hypotenuse
Cancel the Hypotenuse.
Divide both sides by sin a.
Cancel the sin a.
Finally, we get an equation to find the Hypotenuse.
Use the Sine equation to find the Opposite:
Multiply both sides by the Hypotenuse
Cancel the Hypotenuse.
Switch the equation.
Finally, we get an equation to find the Opposite.
Use the Sine equation to find the Angle:
Multiply both sides by the inverse of sin (asin).Note: The inverse of Sine (asin) is the same as
Cancel the sin and asin.
Finally, we get an equation to find the Angle.
asinOpposite
Hypotenuse-------------------------------=
asinOpposite
Hypotenuse-------------------------------=
asin Hypotenuse× OppositeHypotenuse------------------------------- Hypotenuse×=
asin Hypotenuse× Opposite=
asin Hypotenuse×asin
------------------------------------------------Opposite
asin------------------------=
HypotenuseOpposite
asin------------------------=
asinOpposite
Hypotenuse-------------------------------=
asin Hypotenuse× OppositeHypotenuse------------------------------- Hypotenuse×=
asin Hypotenuse× Opposite=
Opposite asin Hypotenuse×=
asinOpposite
Hypotenuse-------------------------------=
1sin-------
asinasinOpposite
Hypotenuse-------------------------------asin=
aOpposite
Hypotenuse-------------------------------asin=
Basic Math ConceptsTrigonometry
6-8
Derivations of Cosine
Using the equation for cosine, we can use algebra to find for any of the variables.
Use the Cosine equation to find the Hypotenuse:
Multiply both sides by the Hypotenuse
Cancel the Hypotenuse.
Divide both sides by cos a.
Cancel the cos a.
Finally, we get an equation to find the Hypotenuse.
Use the Cosine equation to find the Adjacent:
Multiply both sides by the Hypotenuse
Cancel the Hypotenuse.
Switch the equation.
Finally, we get an equation to find the Adjacent.
Use the Cosine equation to find the Angle:
Multiply both sides by the inverse of cos (acos).
Cancel the cos and acos.
Finally, we get an equation to find the Angle.
acosAdjacent
Hypotenuse-------------------------------=
acosAdjacent
Hypotenuse-------------------------------=
acos Hypotenuse× AdjacentHypotenuse------------------------------- Hypotenuse×=
acos Hypotenuse× Adjacent=
acos Hypotenuse×acos
-------------------------------------------------Adjacent
acos-----------------------=
HypotenuseAdjacent
acos-----------------------=
acosAdjacent
Hypotenuse-------------------------------=
acos Hypotenuse× AdjacentHypotenuse------------------------------- Hypotenuse×=
acos Hypotenuse× Adjacent=
Adjacent acos Hypotenuse×=
acosAdjacent
Hypotenuse-------------------------------=
acosacosAdjacent
Hypotenuse-------------------------------acos=
aAdjacent
Hypotenuse-------------------------------acos=
Basic Math ConceptsTrigonometry
6-9
Derivations of Tangent
Using the equation for Tangent, we can use algebra to find for any of the variables.
Use the Tangent equation to find the Adjacent:
Multiply both sides by the Adjacent.
Cancel the Adjacent.
Divide both sides by tan a.
Cancel the tan a.
Finally, we get an equation to find the Adjacent.
Use the Tangent equation to find the Opposite:
Multiply both sides by the Adjacent
Cancel the Adjacent.
Switch the equation.
Finally, we get an equation to find the Opposite.
Use the Tangent equation to find the Angle:
Multiply both sides by the inverse of tan (atan).
Cancel the tan and atan.
Finally, we get an equation to find the Angle.
atanOppositeAdjacent------------------------=
atanOppositeAdjacent------------------------=
atan Adjacent× OppositeAdjacent------------------------ Adjacent×=
atan Adjacent× Opposite=
atan Adjacent×atan
-----------------------------------------Opposite
atan------------------------=
AdjacentOpposite
atan------------------------=
atanOppositeAdjacent------------------------=
atan Adjacent× OppositeAdjacent------------------------ Adjacent×=
atan Adjacent× Opposite=
Opposite atan Adjacent×=
atanOppositeAdjacent------------------------=
atanatanOppositeAdjacent------------------------atan=
aOppositeAdjacent------------------------atan=
Basic Math ConceptsTrigonometry
6-10
Summary of Derivations of Sine, Cosine, and Tangent
Figure 6 Trigonometric functions for angle a
c = 90°
a
b
C (Hypotenuse)B
()
Adja
cent
A ( )Opposite
asinOpposite
Hypotenuse-------------------------------= acos
AdjacentHypotenuse-------------------------------=
HypotenuseOpposite
asin------------------------= Hypotenuse
Adjacentacos
-----------------------=
Opposite asin Hypotenuse×= Adjacent acos Hypotenuse×=
aOpposite
Hypotenuse-------------------------------asin= a
AdjacentHypotenuse-------------------------------acos=
atanOppositeAdjacent------------------------=
AdjacentOpposite
atan------------------------=
Opposite atan Adjacent×=
aOppositeAdjacent------------------------atan=
Basic Math ConceptsTrigonometry
6-11
Examples of Sine, Cosine, and Tangent Formulas
Figure 7 Trigonometric functions for angle a
Solve for the following:
1. a = 60°A = 30B = ?C = ?
2. A = 25C = 50a = ?°B = ?
3. C = 1200a = 23° 15’A = ?B = ?
4. A = 36B = 67a = ?°C = ?
5. C = 3820B = 988.69a = ?°A = ?
c = 90°
a
b
C (Hypotenuse)B
()
Adja
cent
A ( )Opposite
Basic Math ConceptsTrigonometry
6-12
Problem 1
a = 60° A(Opposite) = 30
a = 60°A = 30B = 17.32C = 34.64
Problem 2
A(Opposite) = 25 C(Hypotenuse) = 50
A = 25C = 50a = 30°B = 43.30
Problem 3
C(Hypotenuse) = 1200 a = 23° 15’
C = 1200a = 23° 15’A = 473.69B = 1102.55
CA
asin----------= C
3060sin
-------------= C30
0.866025----------------------= C 34.64=
B a C×cos= B 60 34.64×cos= B 0.50 34.64×= B 17.32=
aAC----asin= a
2550------asin= a 0.50asin= a 30°=
B a C×cos= B 30 50×cos= B 0.866025 50×= B 43.30=
A a C×sin= A 23°15′ 1200×sin= A 0.394744 1200×= A 473.69=
B a C×cos= B 23°15′ 1200×cos= B 0.918791 1200×= B 1102.55=
Basic Math ConceptsTrigonometry
6-13
Problem 4
A(Opposite) = 36 B(Opposite) = 67
A = 36B = 67a = 28.25°C = 76.06
Problem 5
C(Hypotenuse) = 3820 B(Adjacent) = 988.69
B = 988.69C = 3820.00a = 75.00°A = 3689.84
aAB---atan= a
3667------atan= a 0.537313atan= a 28.25=
CA
asin----------= C
3628.25sin
---------------------= C36
0.0473320-------------------------= C 76.06=
aBC----acos= a
988.693820
----------------acos= a 0.258819acos= a 75.00=
A a C×sin= A 75 3820×sin= A 0.965926 3820×= A 3689.84=
Basic Math ConceptsTrigonometry
6-14
Pythagorean Theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides.
C2 = A2 + B2 and
Thus, knowing the lengths of two sides in a right triangle, you can find the length of the third side.
Figure 8 Right triangle showing sides opposite angles
C2 = A2 + B2 and
Note: This is how you calculate horizontal displacement or closure from the rectangular coordinates.
C A2
B2
+=
c = 90°
a
b
C = ?
B=
30
A = 51.96
C A2
B2
+=
C 51.962
302
+=
C 2699.84 900+=
C 3599.84=
C 60=
Basic Math ConceptsTrigonometry
6-15
Circles
Figure 9 A circle
A circle is a figure consisting of all points located the same distance R from a fixed point O called its center. In this figure, the segment OA is the radius. The distance around the circle is called the circumference C and is calculated using .
R
O
CA
B D
C 2 π× R×=
Basic Math ConceptsTrigonometry
6-16
The Tangent
TE, in the illustration below, is a tangent to the circle. It touches the circle at only one point (E), the point of tangency. The tangent forms a right angle with the radius of the circle (R) at the point of tangency, because the radius is the shortest distance from the tangent to the center of the circle.
Figure 10 Tangency
RT
E
Basic Math ConceptsTrigonometry
6-17
The Arc
An arc is a portion of a 360o circle. For any angle, the ratio of an arc to the circumference is the same as the ratio of the angle to 360o.
Figure 11 An arc
In the illustration above, arc AB = =
If R = 25m and a = 40o, the circumference (C) can be calculated using the equation below.
C = = = 157.08m
The arc AB can be calculated using the equation below.
arc AB = = = 17.45m
If R = 50 ft and a = 60o, the circumference (C) can be calculated using the equation below.
C = = = 314.16 ft
The arc AB can be calculated using the equation below.
arc AB = = = 52.36 ft
R
Oa
R
R
A
B
C
2π R a××360°
-------------------------π R a××
180°----------------------
2π R× 2π 25×
2π R a××360°
-------------------------2π 25 40××
360°-------------------------------
2π R× 2π 50×
2π R a××360°
-------------------------2π 50 60××
360°-------------------------------
Well PlanningModule Objectives
6-18
Well Planning
Directional drillers require a knowledge of basic math concepts, including a minimum competence in algebra, geometry, and trigonometry. You generally perform any calculations required at the rigsite using a computer or programmable calculator, but it is useful to check them by hand.
Module Objectives
Understand well reference points with respect to lease boundaries.
Differentiate among partial coordinates, rectangular coordinates, and polar coordinates.
Identify the factors determining kick-off point, maximum inclination, and build/drop rates.
Calculate the radius of curvature.
Calculate various sections of a well.
Calculate the toolface setting required to project ahead.
Convert rectangular coordinates to polar coordinates.
Calculate dogleg.
Well PlanningLeaseline or Boundaries
6-19
Leaseline or Boundaries
In some countries, oil and gas leases are sold. These leases are normally administered by local governing bodies or agencies and have clearly defined boundaries. Any point within a lease can be defined in terms of distance from any two adjoining boundaries.
Figure 1 Lease boundaries
Hardlines Lines drawn on the plot which should not be crossed for geological and legal reasons.
Land Locations Planning a directional well presupposes some limiting factors in the positioning of the surface location. With land wells, the surface location of the well will usually be determined by the factors originally prompting the decision to drill a directional well as opposed to a vertical well.
Offshore Locations The main difference between positioning a surface location on land and offshore is that offshore directional programs tend to be drilled from multiwell structures and are not normally as restricted as on land (mountains, jungles, cities, etc.). In most cases, an offshore drilling rig can be placed anywhere above a reservoir. The decision concerning the placement of the surface structure tends to be more affected by reservoir management considerations than geographic necessity.
Southern Boundary
Easte
rnB
oundary
Weste
rnB
oundary
Northern Boundary
Target
Proposed
Trajectory
SurfaceLocation
Well PlanningBottomhole Targets
6-20
Bottomhole Targets
Geological Requirements
The first step in planning any well is to define the objective(s). A directional well can have one or more objectives:
• Geological structures
• Coring points
• Geological features (such as faults or pinch outs)
• Other wellbores (as with relief well drilling)
• Combination of these
In this section, we look at the way in which targets are defined. As we have seen, there are various means of referring to a surface location (UTM, geographic, etc.). The same is true for the target location with the addition of the vertical depth of the target.
Partial Coordinates When planning and drilling a well, it is simpler to use partial coordinates when referring to the target. This involves using the surface location as a reference point (surface reference point) and attributing this point with the value 0,0. All other coordinates can then be referred back to this point, thus simplifying calculation and plotting procedures. The Surface Reference Point (SRP) is usually the rotary kelly bushing, the wellhead or the platform reference point.
Once the exact location of the surface reference point and the target are known, the partial coordinates can easily be determined. Normally, these are either rectangular or polar.
Figure 2 Rectangular/Polar coordinates
North
East
Target
SurfaceLocation
Closure
Distance
Angle
RectangularCoordinate:
South
RectangularCoordinate:East
Rectangular Coordinate = (East(x), South(y))Polar Coordinate = Closure Distance at Angle°
Well PlanningBottomhole Targets
6-21
Figure 3 Rectangular coordinates
Rectangular Coordinates Rectangular coordinates are usually given in feet/meters north or south and east or west of the SRP. They can easily be derived by subtracting the UTM coordinates of the SRP from those of the target. For example:
N/S (feet) E/W (feet)
UTM Coordinates Target 62,354,500.00 N 5,262,744.00 E
UTM Coordinates Surface 62,355,000.00 N 5,262,544.00 E
Partial Coordinates -500.00 200.00
A positive value denotes north or east; a negative value denotes south or west. The target in the above example is 500 feet south (-ve) and 200 feet east (+ve) of the SRP.
North
East
Target
Surface Location UTM Coordinates62,355,000 N (N/S), 5,262,544 E (E/W)
RectangularCoordinate:South
RectangularCoordinate:East
UTM Coordinates62,354,500 N
UTM Coordinates5,262,744 E
Well PlanningBottomhole Targets
6-22
Figure 4 Polar coordinates
Polar Coordinates Polar coordinates are derived from the rectangular coordinates and are expressed as a closure distance and a direction (either quadrant or azimuth). These are derived from the rectangular (or Cartesian) coordinates as follows:
or, in this case: = = 21.8°
As we know, the target is south and east of the surface reference point; we know the direction of the target from the rig is:
S 21.80 E in quadrant format, or 158.2° Azimuth
Closure Distance , or in this case: = 538.5
We can refer to our target in polar coordinates being 538.5 feet (or meters) at Azimuth 158.2°.
North
East
Target
SurfaceLocation
Closure
Distance
Angle
200
500
Angle E or W CoordN or S Coord---------------------------------
atan= 200500---------
atan
E or W Coord2
N or S Coord2
+= 2002
5002
+ =
Well PlanningTarget Size
6-23
Target Size
During the drilling phase of a directional well, the trajectory of the wellbore in relation to the target is constantly monitored. Often, costly decisions have to be made in order to ensure that the objectives of the well are met. A well-defined target is essential in making these decisions. The technology available today allows us to drill extremely accurate wells. The cost of drilling the well is largely dependent on the accuracy required, so the acceptable limits of the target must be well-defined before the well is commenced.
Cost versus accuracy is the key consideration. In many cases, operating companies adopt an arbitrary in-house target size (or radius of tolerance), particularly in multi-well projects. The size of the target radius often reflects the convention rather than the actual geological requirements of the well. It is common for specific restrictions or hard lines to be specified only when they depict critical features such as:
• Fault lines
• Pinch outs
• Legal restrictions
• Lease line boundaries
Many directional wells have been unnecessarily corrected or sidetracked in order to hit a target radius which, in fact, did not represent the actual objective of the well.
Kick-off Point
The kick-off point is the vertical depth where the well is deviated in a specific direction, inclination and build rate.
The kick-off point is determined by:
• Well path
• Formation type
• Formation pressure
Well PlanningMaximum Inclination
6-24
Maximum Inclination
Maximum inclination is determined by:
• KOP and target location
• Formation characteristics
• Hole cleaning
Build/Drop Rates
Build/drop rates are determined by:
• Formation characteristics (hard/soft)
• Deflection tools available
• Mechanical limitations of the drillstring or casing
• Mechanical limitations of the downhole instrumentation
• Mechanical limitations of the production string or equipment
• Key seats
Common build rates range from 1° to 3°/100 ft (30m) for traditional wells.
Horizontal or extended reach wells may have build rates of well over 100o/100 ft (30 m) in short radius applications.
Well PlanningBasic Principle: Right Triangle
6-25
Basic Principle: Right Triangle
Figure 5 Basic principle of the right triangle
1. or
or
2. or
or
3. or
or
4. or
5. or
c = 90°
a
b
CB
A
asin OppositeHypotenuse----------------------------=
Hypotenuse Oppositeasin
---------------------=
Opposite asin Hypotenuse×=
acos AdjacentHypotenuse----------------------------=
Hypotenuse Adjacentacos
---------------------=
Adjacent acos Hypotenuse×=
atan OppositeAdjacent---------------------=
Adjacent Oppositeatan
---------------------=
Opposite atan Adjacent×=
a AB---atan= b B
A---atan=
C2
A2
B2
+= C A2
B2
+=
Well PlanningCalculating the Radius of Curvature
6-26
Calculating the Radius of Curvature
Knowing the build-up rate (BUR), you can calculate the value of the radius of curvature, Rc, for the build-up section of a well. Knowing the values for inclination at the start of the arc (I1) and the end of the arc (I2), you can find the incremental values for horizontal displacement (HD), vertical depth (VD), and measured depth (MD).
The radius of curvature is normally expressed in degrees/100' (degrees/30 m). To calculate a build or drop radius, the formula is:
Feet Meters
Note:
In our examples, we will use approximate values of 5730 and 1719.
Radius
180π
--------- 100×
Build Rate-------------------------= Radius
180π
--------- 30×
Build Rate-------------------------=
180π
--------- 100× 5729.5780= 180π
--------- 30× 1718.8734=
Well PlanningCalculating the Radius of Curvature
6-27
Figure 6 Radius of curvature - relationships among angles
Feet Meters
1.
2.
3.
4.
KOP (Kick Off Point)
TV
D(T
rue
Vert
icalD
epth
)
Displacement
Rad
ius
Radius
180π
--------- 100×
Build Rate------------------------- 5730
BUR------------= = Radius
180π
--------- 30×
Build Rate------------------------- 1719
BUR------------= =
Radius TVD Displacement= = Radius TVD Displacement= =
BUR 5730TVD------------= BUR 1719
TVD------------=
BUR 5730Displacement---------------------------------= BUR 1719
Displacement---------------------------------=
Curve Length ∆Inc 100×BUR
---------------------------= Curve Length ∆Inc 30×BUR
------------------------=
Well PlanningCalculating the Radius of Curvature
6-28
Figure 7 Calculation example
Determine TVD1, DISP1, and MD1
On the plot, Angle 1 is the angle at the end of the build.
Prove Angle 1(end of build angle) = Angle 2(∆Inclination).
1. and
2.
Subtract 1 from 2.
Add Angle 1 to both sides of the equation.
Complete the addition.
KOP
TVD1
Displacement
Rad
iusR 1
MD
1
DISP1
1
2
3
180° Right Angle Angle 3 Angle 2+ +=
180° Right Angle Angle 3 Angle 1+ +=
180° 180°– Right Angle Angle 3 Angle 2 Right Angle Angle 3– Angle 1––+ +=
0 Angle 2 Angle 1–=
0 Angle 1+ Angle 2 Angle 1– Angle 1+=
Angle 1 Angle 2=
Well PlanningCalculating the Radius of Curvature
6-29
Figure 8 Calculation example
Determine: Calculate:
1. TVD1 1. R1
2. DISP1 2. DISPB
3. MD1
Calculate: Formulas used:
1.
2.
3.
4.
Note:
KOP
TVD1
Displacement
Rad
iusR 1
MD
1
DISP1
DISPB DISPA
1
2
3
TVD1 Angle 2sin Radius×= Opposite asin Hypotenuse×=
DISPA Angle 2cos Radius×= Adjacent acos Hypotenuse×=
DISP1 Radius Angle 2cos Radius×( )–=
MD1∆Inc 100×
BUR---------------------------=
DISP1 DISPB=
6-30
Calculating a Directional Well Plan
Basic Principle
Right Triangle
1.
2. or
or
3. or
or
4. 5.
�
�
�
� �
�
A2
B2
+ C2 and C A
2B
2+==
a Opposite
Hypotenuse-------------------------------=sin
Opposite a Hypotenuse×sin=
HypotenuseOpposite
asin------------------------=
acosAdjacent
Hypotenuse-------------------------------=
Adjacent a Hypotenuse×cos=
HypotenuseAdjacent
acos-----------------------=
a BA---atan=
c AB---atan=
AdjacentOpposite
atan------------------------=
Opposite Adjacent atan×=
6-31
Calculating a Directional Well Plan
Basic Principle
Calculate the radius of curvature (normally expressed in degrees/100’ (30 m).
To calculate a build or drop radius the formula is:
Radius
180π
--------- 100×
Build Rate----------------------------=
6-32
Calculating a Directional Well Plan
Feet Meters
1.
2.
3.
4.
R
180π
--------- 100×
BUR------------------------ 5730
BUR------------= = R
180π
--------- 30×
BUR--------------------- 1719
BUR------------= =
Radius TVD Displacement= = Radius TVD Displacement= =
BUR5730TVD------------= BUR
1719TVD------------=
BUR5730DISP--------------= BUR
1719DISP--------------=
Curve Length∆Inc 100×
BUR---------------------------= Curve Length
∆Inc 30×BUR
------------------------=
6-33
Calculating a Directional Well Plan
If you do not build from 0° – 90°:
Determine TVD1, DISP1, and MD1
On the plot, Angle 1 is the angle at the end of the build.
Note:
and
therefore
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��� �
�
�
�
180°
Right Angle Angle 2 Angle 3+ +=
180°
Angle 1 Right Angle Angle 3+ +=
Angle 1 Angle 2=
6-34
Calculating a Directional Well Plan
Determine:
1. TVD1
2. DISP1
3. MD1
���
������
���
�����������
��� �
�
�
�
��������
Opposite a Hypotenuse×sin=
TVD1 Angle 2 Radius×sin=
Adjacent a Hypotenuse×cos=
DISPA Angle 2 Radius×cos=
DISPB Radius Angle 2 Radius×cos( )–=
DISP1 DISPB=
MD1∆Angle 100×
BUR----------------------------------=
6-35
Calculating a Directional Well Plan
Example 1
Given:
1. Build Rate = 1.5°/100'2. Drop Rate = 1.0°/100'3. EOB =30°
���
�
�
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����
���
����
����
� �
��
�
��
R
180π
--------- 100×
BUR------------------------=
R1 3820=
DISP1 Radius 30° 3820×cos( )–=
DISP1 511.78=
∆TVD2 30° 3820×sin=
TVD2 1910=
MD10° 30°–( ) 100×
1.5----------------------------------------=
MD1 2000=
R2 5730=
∆TVD4 2865=
DISP3 767.76=
MD3 3000=
6-36
Calculate a Well Proposal
Type 1 Well (Build and Hold)
Profile # 1 Given:
1. Surface Location2. Start Inclination = 0°3. Target TD = 9000'4. Target Displacement = 5000'5. Maximum Inclination = 40°6. Build Rate = 2°/100'
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�
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����
����
����
���
� ��
���
�����
Calculate:
1. TVD1
2. TVD2
3. DISP1
4. MD1
5. MD2
6. Total MD7. KOP8. TVD3
9. DISP2
6-37
Calculate a Well Proposal
Type 1 Well (Build and Hold)
Profile # 1
Calculate R1
Calculate ýTVD2
Calculate DISP1
Calculate MD1
Calculate DISP2
Calculate ýTVD3
Calculate KOP
Calculate MD2
Calculate Total MD
5730BUR------------=
a Hyp× otenusesin=
R1 a Hypotenuse×cos( )–=
∆Angle 100×BUR
----------------------------------=
Target DISP DISP1–=
Oppositeatan
------------------------=
∆TVD3 ∆TVD2+( ) Target TVD–=
Oppositeasin
------------------------=
MD1 MD2 KOP+ +=
6735.85=
10734.30=
1998.45=
2865=
1841.59=
670.28=
5159.96=
4329.7=
2000=
5000 670.28–=
6-38
Calculate a Well Proposal
Type 1 Well (Build and Hold)
Profile # 2 Given:
1. Surface Location2. Start Inclination = 0°3. KOP = 3200'4. Target TVD = 12500'5. Target Displacement = 5000'6. Build Rate = 2°/100'
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�
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����
����
����
���
� ��
���
�����
Calculate:
1. TVD1
2. TVD2
3. TVD3
4. DISP1
5. DISP2
6. Inclination at EOB7. MD1
8. MD2
9. Total MD
6-39
Calculate a Well Proposal
Profile # 2
Target DISP R1–=
26.71°=
21.53°=
10411.17=
R1L2------asin=
DISPB2
L12
+=
DISPB
L1-----------------atan=
Target TVD KOP–=
9300=
4680=
5730BUR------------= 3820=
8500 3820–=
12500 3200–=
Calculate R1
Calculate DISP3
Calculate L1
Calculate Angle 1
Calculate L2
Calculate Angle 2
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� ��
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�
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� ��
�
�
�
�
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�
��
6-40
Calculate a Well Proposal
Profile #2
Calculate Angle 5
Where:
1. 180° = Angle 1 + Angle 2 + Angle 3
and
2. 180° = Angle 3 + Angle 4
and subtracting 1 from 2
0° = Angle 1 + Angle 2 - Angle 4
and moving Angle 4 to the other side
Angle 4 = Angle 1 + Angle 2
Since Angle 4 and Angle 5 are created by a vertical line intersecting the hold section, Angle 4 = Angle 5, then
Angle 5 = Angle 1 + Angle 2Angle 5 = 48.5°
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6-41
Calculate a Well Proposal
9684.91=
DISPB2 ∆TVD3
2+=
L1 ∆TVD2–=
6450.50=
2849.50=
1275.84=
a Hyp× otenusesin=
48.24 3820×=
R1 a Hypotenuse×cos( )–=
∆Angle 100×BUR
----------------------------------=3216=
9300 2849.50–=
7224.162
6450.502
+=
Target Displacement DISP1–= 7224.16=
Calculate ýTVD2
Calculate DISP1
Calculate MD1
Calculate ýTVD3
Calculate DISP2
Calculate MD2
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�
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�
��
Calculate a Well ProposalType 1 Well (Build and Hold)
6-42
Calculate a Well ProposalProfile # 2
TVD1 = 3200.00
TVD2 = 6049.50
TVD3 = 12500.00
DISP1 = 1275.84
DISP2 = 7224.16
Inc at EOB = 48.24°
MD1 = 3216.00
MD2 = 9684.91
Total MD = 16100.91
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6-43
Target Approach Calculations
The diagram below indicates that the direction from the surface location to the center of the target at the given true vertical depth (TVD) is along an azimuth of 29o. The distance from the surface location along a straight line to the target center on the horizontal section is 500 meters. This distance (500 meters) can also be described as a distance along a direction (polar coordinate) or as a direction and a magnitude (vector).
Figure 1
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
No
rthin
gs
29 degrees
Target Center =500 meters at 29°
SurfaceLocation
Target
500
m
6-44
You may also calculate the target boundary using rectangular coordinates. In this instance, a distance of 500 meters along 29o would then be shown as a point described as 437.31 meters N (because the direction is north if its sign is positive and directionally known as latitude) and 242.40 meters E (because the direction is east if its sign is positive and directionally known as departure.
Figure 2
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
mEastings
North
ings
Target Center =
500 meters at 29°
OR
242.40 m E437.31 m N
500
m
29°
242.40 m E
437.3
1m
N
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(29) x 500
E/W = 0.484810 x 500
E/W = 242.404810
E/W = 242.40 m E
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(29) x 500
N/S = 0.874620 x 500
N/S = 437.309854
N/S = 437.31 m N
6-45
As shown below, North and East are positive signs and South and West are negative signs.
Figure 3
-300 200-200 -100 0 100 300-400 400
-500
-400
-300
-200
-100
0
100
200
300
400
500
20 m
20
m
Eastings
No
rthin
gs
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(29) x 500
E/W = 0.484810 x 500
E/W = 242.404810
E/W = 242.40 m E
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(29) x 500
N/S = 0.874620 x 500
N/S = 437.309854
N/S = 437.31 m N
Target Center =
500 meters at 29°
OR
242.40 m E437.31 m N
29 degrees
6-46
A 400 meter distance along a direction of 137o equals 272.80 meters East (+) and 292.54 meters South (-).
Figure 4
-300 200-200 -100 0 100 300-400 400
-500
-400
-300
-200
-100
0
100
200
300
400
500
20 m
20
m
Eastings
No
rthin
gs
137 degrees
Target Center =500 meters at 29°
OR242.40 m E437.31 m N
Target Center =
400 meters at 137°
OR
272.80 m E292.54 m S
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(137) x 400
E/W = 0.681998 x 400
E/W = 272.799344
E/W = 272.80 m E
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(137) x 400
N/S = -0.731354 x 400
N/S = -292.541481
N/S = 292.54 m S
6-47
A 450 meter distance along a direction of 219o equals 283.19 meters West (-) and 349.72 meters South (-).
Figure 5
-300 200-200 -100 0 100 300-400 400
-500
-400
-300
-200
-100
0
100
200
300
400
500
20 m
20
m
Eastings
North
ings
Target Center =500 meters at 29°
OR242.40 m E437.31 m N
Target Center =
450 meters at 219°
OR
283.19 m W349.72 m S
Target Center =400 meters at 137°
OR272.80 m E292.54 m S
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(219) x 450
E/W = -0.629320 x 450
E/W = -283.194176
E/W = 283.19 m W
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(219) x 450
N/S = -0.777146 x 450
N/S = -349.715683
N/S = 349.72 m S
219 Degrees
6-48
A 390 meter distance along a direction of 347o equals 87.73 meters West (-) and 380.00 meters North (+).
Figure 6
-300 200-200 -100 0 100 300-400 400
-500
-400
-300
-200
-100
0
100
200
300
400
500
20 m
20
m
Eastings
North
ings
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(347) x 390
E/W = -0.224951 x 390
E/W = -87.730911
E/W = 87.73 m W
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(347) x 390
N/S = 0.974370 x 390
N/S = 380.004325
N/S = 380.00 m N
Target Center =500 meters at 29°
OR242.40 m E437.31 m N
Target Center =450 meters at 219°
OR283.19 m W349.72 m S
Target Center =400 meters at 137°
OR272.80 m E292.54 m S
347 Degrees
Target Center =
390 meters at 347°
OR
87.73 m W380.00 m N
6-49
Since we can use polar/rectangular coordinates from surface to the center of the target, we can also use this same calculation to determine the coordinates from the target center to any point on the circumference of the target circle. Generally speaking, on a conventional directional well, we wish to know the points on the target that are known as the high side, low side, left side, and right side. We want to be able to calculate the coordinates that would place us inside the constraint of the 30 meter radius. in order to be within the target, we need to calculate the coordinates that would place us inside the 30 meter radius constraint.
Figure 7
The center of the target is 500 meters along a 29o azimuth. If we subtract 30 meters from 500, we will arrive at the low side. 470 meters along a 29o azimuth
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
HighSide
RightSide
LowSide
TargetCenter
SurfaceLocation
6-50
is 227.86 meters East (+) and 411.07 meters North (+).
Figure 8
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
No
rthin
gs
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
HighSide
RightSide
LowSide
TargetCenter
SurfaceLocation
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(29) x 470
E/W = 0.484810 x 470
E/W = 227.860522
E/W = 227.86 m E
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(29) x 470
N/S = 0.874620 x 470
N/S = 411.071262
N/S = 411.07 m N
Low Side =470 meters at 29°
227.86 m E411.07 m N
6-51
Using the same criteria to determine the high side, we would use 530 meters along a 29o azimuth, or 256.95 meters East (+) and 463.55 meters North (+).
Figure 9
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
HighSide
RightSide
LowSide
TargetCenter
SurfaceLocation
E/W = Opposite = sin(Angle) x Hypotenuse
E/W = sin(29) x 530
E/W = 0.484810 x 530
E/W = 256.949099
E/W = 256.95 m E
N/S = Adjacent = cos(Angle) x Hypotenuse
N/S = cos(29) x 530
N/S = 0.874620 x 530
N/S = 463.548445
N/S = 463.55 m N
High Side =530 meters at 29°
256.95 m E463.55 m N
Low Side =470 meters at 29°
227.86 m E411.07 m N
6-52
Two methods exist to mathematically determine the coordinates to the right or left hand sides of the target circle. The first method uses the two given outlined in the directional plot/proposal to construct a right triangle. The distance from the surface location to the target center is 500 meters and the distance of the target radius is 30 meters. The right and left side points are at 90o from the proposed direction of 29o. This 30 meter length (target radius) and the 500 meter length (distance from the surface to target center) form two legs of a right triangle. Using the Pythagorean theorem, you can determine the length of the hypotenuse of this triangle. Using the inverse tangent geometric formula, you can determine the angle formed between the long leg and the hypotenuse. This angle is the difference between the distance and angle to the center of the target and the distance and angle to the left AND right side of the target. This angle difference is SUBTRACTED from the proposed direction to arrive at the direction to the left side point and ADDED to arrive at the right side point. We now have the angle of the left and right side points on the target circumference and a distance to these points (the hypotenuse).
Figure 10
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
No
rthin
gs
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
RightSide
30 m
SurfaceLocation
Hypotenuse = C = Adjacent/(cos a)
C = 500/(cos 3.43)
C = 500/0.998209
C = 500.897288
C = 500.90 m
Angle a = atan = Opposite/Adjacent
atan = 30/500
atan = 0.06000
a = 3.433630°
a = 3.43°
500
m
Hyp
ote
nuse
=500.9
0m
aa = 3.43°
6-53
If you subtract 3.43o from the proposed direction, you obtain the left side direction of 25.57o. Combining this direction with the length of the hypotenuse (500.90 meters) allows you to convert polar to rectangular coordinates. Conversely, if you add 3.43o from the proposed direction, you obtain the right side direction of 32.43o and can convert from polar to rectangular coordinates.
Figure 11
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
Left side angle = Target center - a
Left side angle = 29 - 3.43
Left side angle = 25.57°
Left Side Distance = Hypotenuse
Left Side Distance = 500.90 meters
Right side angle = Target center + a
Right side angle = 29 + 3.43
Right side angle = 32.43°
Right Side Distance = Hypotenuse
Right Side Distance = 500.90 meters
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
RightSide
30 m
SurfaceLocation
500
m
Hyp
ote
nuse
=500.9
0m
aa = 3.43°
Left Side is500.90 meters
at 25.57°
Right Side is500.90 meters
at 32.43°
6-54
500.90 meters along an azimuth of 25.57 converts to 451.84 m North (Latitude) and 216.20 m East (Departure).
Figure 12
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
E/W = sin(Angle) x Hypotenuse
E/W = sin(25.57) x 500.90
E/W = 0.431613 x 500.90
E/W = 216.195198
E/W = 216.20 m E
N/S = cos(Angle) x Hypotenuse
N/S = cos(25.57) x 500.90
N/S = 0.902059 x 500.90
N/S = 451.841174
N/S = 451.84 m N
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
RightSide
30 m
SurfaceLocation
500
m
500.9
0m
3.43°
Left Side is500.90 meters
at 25.57°216.20 m E451.84 m N
Right Side is500.90 meters
at 32.43°
6-55
500.90 meters along an azimuth of 32.43o converts to 422.78 m North (Latitude) and 268.62 m East (Departure).
Figure 13
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
No
rthin
gs
E/W = sin(Angle) x Hypotenuse
E/W = sin(32.43) x 500.90
E/W = 0.536269 x 500.90
E/W = 268.617047
E/W = 268.62 m E
N/S = cos(Angle) x Hypotenuse
N/S = cos(32.43) x 500.90
N/S = 0.844047 x 500.90
N/S = 422.783268
N/S = 422.78 m N
Target Center is500 meters at 29°
242.40 m E437.31 m N
LeftSide
RightSide
30 m
SurfaceLocation
500
m
500.9
0m
3.43°
Left Side is500.90 meters
at 25.57°216.20 m E451.84 m N
Right Side is500.90 meters
at 32.43°268.62 m E422.78 m N
6-56
You may also calculate coordinates by working within the target circle. This method is longer, but demonstrates that there are two ways to arrive at the same answer, and also acts as a check system. Here we find the rectangular coordinates of the left and right sides of the target circle by using polar coordinate data. The direction is defined by the addition and subtraction of 90o to the proposed direction and the distance is defined by the target radius.
When you identify the coordinates that are 30 meters along 90o left and right of the target center point, you can calculate their coordinates relative to the surface location. 90o added to the target direction of 29o equals 119o, and 90o subtracted from 29o equals 299o.
Figure 14
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
Target Center is500 meters at 29°
242.4048 m E437.3099 m N Left
SideRightSide
30 m
SurfaceLocation
Left Side angle = Target Direction - 90
Left Side angle = 29 - 90
Left Side angle = 299°
Right Side angle = Target Direction + 90
Right Side angle = 29 + 90
Right Side angle = 119°
29°299°
119°
LeftSide
RightSide
30 m
29°299°
119°
6-57
Converting polar to rectangular coordinates, gives you the following calculations:
Figure 15
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
EastingsN
orth
ings
Target Center is500 meters at 29°
242.40 m E437.31 m N
Left Side is 30 m at 299°26.24 m W14.54 m N
30 m
SurfaceLocation
299°
119°
E/W = sin(Angle) x Hypotenuse
E/W = sin(299) x 30
E/W = -0.874620 x 30
E/W = -26.238591
E/W = 26.24 m W
N/S = cos(Angle) x Hypotenuse
N/S = cos(299) x 30
N/S = 0.484810 x 30
N/S = 14.544289
N/S = 14.54 m N
Left Side is 30 m at 299°26.24 m W14.54 m N
30 m
299°
119°
6-58
Figure 16
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
EastingsN
orth
ing
s
Target Center is500 meters at 29°
242.40 m E437.31 m N
Right Side is 30 m at 119°26.24 m E14.54 m S
30 m
SurfaceLocation
299°
119°
E/W = sin(Angle) x Hypotenuse
E/W = sin(119) x 30
E/W = 0.874620 x 30
E/W = 26.238591
E/W = 26.24 m E
N/S = cos(Angle) x Hypotenuse
N/S = cos(119) x 30
N/S = -0.484810 x 30
N/S = -14.544289
N/S = 14.54 m S
Right Side is 30 m at 119°26.24 m E14.54 m S
30 m
299°
119°
6-59
These are the coordinates from the surface location (0 meters North and 0 meters East) to the left side of the target center point. By converting from rectangular to polar coordinates, this point is defined as 500.90 meters along a 25.57o azimuth. Checking on the horizontal section plot shows you that these coordinates are, in fact, correct.
Figure 17
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
No
rthin
gs
E/W = Target E/W + Left Side E/W
E/W = 242.40 m E + 26.24 m W
E/W = 242.40 - 26.24
E/W = 216.16 m E
N/S = Target N/S + Left Side N/S
N/S = 437.31 m N + 14.54 m N
N/S = 437.31 + 14.54
N/S = 451.85 m N
Left Side is216.16 m E451.85 m N
Target Center is500 meters at 29°
242.40 m E437.31 m N
Right Side is30 m at 119°26.24 m E14.54 m S
SurfaceLocation
Left Side is30 m at 299°26.24 m W14.54 m N
6-60
The same calculation is used to determine the right side of the target’s coordinates.
Figure 18
0 25050 100 150 200 300-50 350
0
-50
50
100
150
200
250
300
350
400
450
500
10 m
10
m
Eastings
North
ings
E/W = Target E/W + Right Side E/W
E/W = 242.40 m E + 26.24 m E
E/W = 242.40 + 26.24
E/W = 268.64 m E
N/S = Target N/S + Right Side N/S
N/S = 437.31 m N + 14.54 m S
N/S = 437.31 - 14.54
N/S = 422.77 m N
Left Side is216.16 m E451.85 m N
Target Center is500 meters at 29°
242.40 m E437.31 m N
Right Side is30 m at 119°26.24 m E14.54 m S
SurfaceLocation
Left Side is30 m at 299°26.24 m W14.54 m N
Right Side is268.64 m E422.77 m N
6-61
By knowing these coordinates, you will be able to calculate the distance and direction required to land within the target boundaries. As the directional job progresses, you will be calculating your surveys to determine where you are relative to the target. After subtracting the calculated survey latitude and departure from the coordinates of all four points (high side, low side, left side, and right side), you will convert the rectangular coordinates to polar and be left with the distance and direction to each point. Knowing the direction of your survey and the direction to the left and right side of the target constraints will determine whether corrective directional steering is required or not. Combining the distance to target and the remaining TVD (target TVD minus the survey calculated TVD) will allow you to use the tangent formula to calculate the required inclination to the low, center, high, left, and right sides of the target.
Important: It cannot be stressed enough that ALL calculations have to use the data EXTRAPOLATED to the bit depth and NOT the survey depth.
6-62
Vertical Section Calculation
Find the center, high side, low side of the target from an inclination of 58°, with a target inclination of 60°. The current bit position at a TVD of 2728.90 m and a Vertical Section of 400 m. The target center is at a TVD of 2784.90 m and a Vertical Section of 500m. The target radius is 30 m.
Figure 19
6-63
Figure 20
Calculate the ∆TVD and ∆VS (Vertical Section) of target center:
Figure 21
∆TVD T etTarg VD CurrentTVD–= ∆VS T etVSarg CurrentVS–=
∆TVD 2784.9 2728.90–= ∆VS 500 400–=
∆TVD 56.00= ∆VS 100=
6-64
Figure 22
Calculate the ∆TVD and ∆VS of the high side of the target:
Figure 23
∆TVD T etTarg VD CurrentTVD–= ∆VSHS ∆VS T etRadiusarg+=
∆TVD 2784.9 2728.90–= ∆VSHS 100 30+=
∆TVD 56.00= ∆VSHS 130=
6-65
Figure 24
Calculate the ∆TVD and ∆VS of the low side of the target:
Figure 25
∆TVD T etTarg VD CurrentTVD–= ∆VSLS ∆VS T etRadiusarg–=
∆TVD 2784.9 2728.90–= ∆VSLS 100 30–=
∆TVD 56.00= ∆VSLS 70=
6-66
Figure 26
Calculate the Angle and distance to the target center:
Method 1
Method 2
MD ∆TVD2 ∆VS
2+= Angle
∆VSMD-----------asin=
MD 562
1002
+=
MD 3136 10000+=Angle
100114.61----------------asin=
MD 13136= Angle 0.872524asin=
MD 114.61m= Angle 60.75°=
Angle∆VS
∆TVD----------------atan= MD
∆VSAnglesin
-----------------------=
Angle10056---------atan= MD
10060.75sin
---------------------=
Angle 1.785714atan= MD100
0.872496----------------------=
Angle 60.75°= MD 114.61m=
6-67
Figure 27
Calculate the Angle and distance to the high side of the target:
Method 1
Method 2
The difference is a minor rounding error between Method 1 and Method 2.
Method 1 Method 2
Angle = 66.693717° Angle = 66.695113°MD = 141.548578 m MD = 141.543374 m
MD ∆TVD2 ∆VSHS
2+= Angle
∆VSHS
MD-----------------asin=
MD 562
1302
+=
MD 3136 16900+=Angle
130141.55----------------asin=
MD 20036= Angle 0.918403asin=
MD 141.55m= Angle 66.69°=
Angle∆VS
∆TVD----------------atan= MD
∆VSAnglesin
-----------------------=
Angle13056---------atan= MD
13066.70sin
---------------------=
Angle 2.321429atan= MD130
0.918446----------------------=
Angle 66.70°= MD 141.54m=
6-68
Figure 28
Calculate the Angle and distance to the low side of the target:
Method 1
Method 2
MD ∆TVD2 ∆VSLS
2+= Angle
∆VSLS
MD----------------asin=
MD 562
702
+=
MD 3136 4900+= Angle70
89.64-------------asin=
MD 8036= Angle 0.780901asin=
MD 89.64m= Angle 51.34°=
Angle∆VSLS
∆TVD----------------atan= MD
∆VSLS
Anglesin-----------------------=
Angle7056------atan= MD
7051.34sin
---------------------=
Angle 1.250000atan= MD70
0.780867----------------------=
Angle 51.34°= MD 89.64m=
6-69
Target Approach Project
Current Location: Target Location:
1. E 100 m 1. 500 m at 29°2. N 250 m 2. TVD = 2792.50 m3. TVD = 2586.18 m 3. Inclination = 60°4. Inclination = 46.63° 4. KOP = 2000 m
5. Target Radius 30 m
Calculate target approach and vertical section locations.
Figure 29
6-70
Calculate the following:
1. Target Coordinate Location
2. Current Position Distance and Angle
3. Partial Coordinates from Current Location to Target Center
4. Angle and Distance to Target Center from Current Location
5. High Side Coordinates
6. Low Side Coordinates
7. ∆Angle from Target Center to Side
8. Right Side Coordinates
9. Left Side Coordinates
10. Vertical Section
11. ∆Vertical Section to Target Center
12. ∆TVD to Target Center
13. Target Center ∆Angle and ∆MD
14. ∆Vertical Section to High Side
15. ∆TVD to High Side
16. High Side ∆Angle and ∆MD
17. ∆Vertical Section to Low Side
18. ∆TVD to Low Side
19. Low Side ∆Angle and ∆MD
Target Center Coordinates
Current Location Distance and AngleMethod 1
Method 2
EW Anglesin Dist×= 29sin 500×= 0.484810 500×= E242.40m=
NS Acos ngle Dist×= 29cos 500×= 0.874620 500×= N437.31m=
Dist EW2
NS2
+= 1002
2502
+= 72500= 269.26m=
AngleEWDist-----------asin=
100269.26----------------asin= 0.371388asin= 21.80°=
AngleEWNS---------atan=
100250---------atan= 0.400000atan= 21.80°=
DistEWAnglesin
-----------------------=10021.80sin
---------------------=100
0.371368----------------------= 269.27m=
6-71
Figure 30
Partial Coordinates
Current Location Distance and AngleMethod 1
Method 2
EW T etEWarg CurrentEW–= 242.4 100–= E142.40m=
NS T etNSarg CurrentNS–= 437.31 250–= N187.31m=
Dist EW2
NS2
+= 142.402
187.312
+= 55362.80= 235.29m=
AngleEWDist-----------asin=
142.40235.29----------------asin= 0.605211asin= 37.24°=
AngleEWNS---------atan=
142.40187.31----------------atan= 0.760237atan= 37.24°=
DistEWAnglesin
-----------------------=142.40
37.24sin---------------------=
142.400.605155----------------------= 235.31m=
6-72
Figure 31
High Side Coordinates
Low Side Coordinates
∆Angle
Distance to Side
DistHS Dist 30m+= 235.29 30+= 265.29m=
EW Asin DistHS×= 37.24sin 265.29×= 0.605155 265.29×= E160.54m=
NS Acos DistHS×= 37.24cos 265.29×= 0.796108 265.29×= N211.20m=
DistLS Dist 30m–= 235.29 30–= 205.29m=
EW Asin DistLS×= 37.24sin 205.29×= 0.605155 205.29×= E124.23m=
NS Acos DistLS×= 37.24cos 205.29×= 0.796108 205.29×= N163.43m=
∆AT etRarg
Dist---------------------atan=
30235.29----------------atan= 0.127502atan= 7.27°=
DistSDist
∆Aacos-------------------=
235.297.27acos
----------------------=235.29
0.991961----------------------= 237.20m=
6-73
Figure 32
∆Angle and Distance to Side
Right Side Coordinates
Left Side Coordinates
∆AT etRarg
Dist---------------------atan=
30235.29----------------atan= 0.127502atan= 7.27°=
DistSDist
∆Aacos-------------------=
235.297.27acos
----------------------=235.29
0.991961----------------------= 237.20m=
AR Angle ∆A+= 37.24 7.27+= 44.51°=
EW ARsin DistS×= 44.51sin 237.20×= 0.701034 237.20×= 166.29m=
NS ARcos DistS×= 44.51cos 237.20×= 0.713128 237.20×= 169.15m=
AL Angle ∆A–= 37.24 7.27–= 29.97°=
EW ALsin DistS×= 44.51sin 237.20×= 0.701034 237.20×= 166.29m=
NS ALcos DistS×= 44.51cos 237.20×= 0.713128 237.20×= 169.15m=
6-74
Figure 33
∆Vertical Section and ∆TVD to Target Center
Target Center ∆Angle and ∆MD
∆Vertical Section and ∆TVD to High Side
VS ∆acos Dist×= 7.2 269.27×cos= 0.992115 269.27×= 267.15m=
∆VS T etVSarg CurrentVS–= 500 267.15–= 232.85m=
∆TVD T etTVDarg CurrentTVD–= 2792.50 2624.80–= 167.70m=
∆Angle∆VS
∆TVD----------------atan=
232.85167.70----------------atan= 1.388491atan= 54.24°=
∆MD∆VS∆Anglesin
---------------------------=232.85
54.24sin---------------------=
232.850.811472----------------------= 286.95m=
∆VSHS ∆VS 30m+= 232.85 30+= 262.85m=
∆TVD T etTVDarg CurrentTVD–= 2792.50 2624.80–= 167.70m=
6-75
Figure 34
High Side ∆Angle and ∆MD
∆Vertical Section and ∆TVD to Low Side
Low Side ∆Angle and ∆MD
∆Angle∆VSHS
∆TVD-----------------atan=
262.85167.70----------------atan= 1.567382atan= 57.46°=
∆MD∆VSHS
∆Anglesin---------------------------=
262.8557.46sin
---------------------=232.85
0.843016----------------------= 311.80m=
∆VSLS ∆VS 30m–= 232.85 30–= 202.85m=
∆TVD T etTVDarg CurrentTVD–= 2792.50 2624.80–= 167.70m=
∆Angle∆VSLS
∆TVD----------------atan=
202.85167.70----------------atan= 1.209600atan= 50.42°=
∆MD∆VSLS
∆Anglesin---------------------------=
202.8550.42sin
---------------------=202.85
0.770736----------------------= 263.19m=
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1. Start of Job
1.1. Compare Proposal well name and location with rig manager,
Geologist and well license
1.2. Determining Ground and KB elevations and adjust proposal accordingly
2. Entering Surveys
2.1. Tie on
2.2. Adding surveys
2.3. Deleting surveys
2.4. Editing surveys
3. Adding Text Lines
3.1. Review what is needed for the Final Completion Survey
3.2. Final Completion Survey Example
3.3. MD, TVD and Subsea methods to input Text Lines
4. Quick Printing
4.1. Review options in Quick Printing
5. Graphics
5.1. Review Plan view parameters with step sizes
5.2. Review Side view parameters with step sizes
5.3. Change colors of wells
5.4. Turn Wells on and off in graphics
5.5. Turn targets on and off in graphics
5.6. Exaggerate the vertical to show changes in TVD in Side view
6. Targets
6.1. Review adding targets based on Lat. & Dep. AND Closure Dist. and Closure Azimuth
6.2. Show how to turn on the “Graph Targets” option to view targets in the plan and side views
7. Interpolating
7.1. Review difference between Interpolating and Extrapolating
7.2. Interpolating using Edit Text Lines
7.3. Interpolating using the Quick Print
7.4. Insert Single Interpolation - Under Tools
7.5. Multiple Interpolations - Under Planning – Show Plan Survey
8. KB Adjustments
8.1. KB vs Subsea Example with diagram
8.2. KB vs TVD Example with diagram
8.3. Tie on to existing build with new KB Example with diagram
8.4. Field Example #1 Tie on to an existing build
8.5. Field Example #2 Tie on to an existing build
8.6. Field Example #3 Tie on to an existing lateral
8.7. Shifting Build Surveys to reflect a new KB elevation
9. Projecting Ahead
9.1. Project To Bit
9.2. Directional Example
Straight Line Projection
9.3. Build Section Example
Required Correction to Target review
Radius of Curvature – BUR to Target TVD and INC
Review Other Projection Methods
Posting Projections
Stacking Projections
10. Simple Planning
10.1. Review Types of wells that can be planned using Simple Planning
10.2. Plan with 2 out of 4 unknowns (step sizes)
10.3. Plan with 2 out of 7 unknowns (step sizes)
11. Field Setup Exercise
11.1. Set up 2 well surfaces relative to each other
11.2. Create 2 proposals using Simple Planning
12. Anti-Collision
12.1. Review basics of anti-collision
12.2. Run anti-collision report for two wells:
Switching the offset and reference wells
Varying the Interpolation Interval
Varying the scan radius
Determine which well is above and below the other when the two wells cross using Tool Faces and 3-D viewer
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Computalog Drilling Services - Wellz Quick Start Manual
WELLZ QUICK START INSTRUCTION MANUAL 1. INTRODUCTION The purpose of the Wellz Quick Start Instruction Manual is to provide an easy to follow, step by step guide for the Survey portion of the Wellz software. This manual outlines how to properly setup a new Wellz Survey file and utilize the software’s key features by incorporating a logical sequence of screen captures, typical examples and brief explanations. Once you have jumped into the program, a more detailed explanation of all features can be accessed through the Help section of the Wellz program.
2. CREATING A NEW SURVEY FILE
Step 1:Start Wellz
wellz.ico
Step 2: Select to create a new Wellz survey file
Double click the Wellz icon on the Desktop
This is the “Wellz Start Up” box. Click the New button to create a newWellz file.
Note: Once the Wellz file has been created, the Wellz file can be accessed later at this “Wellz Start Up” dialogue box using the Open button.
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Computalog Drilling Services - Wellz Quick Start Manual
Step 3: Enter the required Header data
This is the file nathe top of the prinsurvey files shouending. ex. 109510950SA for leg leg #3 surveys e The above surveproposal files 1010950PB.
When all required fields have been completed, click the OK button to save and close the dialogue box.
Clicking the Cancel button will close the dialogue box and not save changes to the header data, leaving the header data blank. Note: The Header Data can be edited by clicking the Edit Header button on the Survey Tool Bar Tab at the left hand side of the survey screen.
From the Proposal front
Enter the V-section that the proposal is calculated on. From Proposal middle pages.
Label for graph. Example: Actual Leg #1 Vs Proposed Leg #1
Enter the actual KB elevation of the rig.
Enter the actual as measured ground elevation for the well site.
me that will be printed on ted survey report. All
ld be labeled with a “S” 0S for leg #1 surveys, #2 surveys, 10950SB for tc.
y files will correspond with 950P, 10950PA and
5-2
Computalog Drilling Services - Wellz Quick Start Manual
Step 4: Selection of Units (meters vs feet)
Step 5: Saving the file
Ensure that the C drive is selected to save the survey file to your local hard drive.
To save the survey file under the desired directory and file name, click the Save button. To close the “Save As” dialogue box without specifying the file name, click the Cancel button.
Click on the create directory buttonto create a new working directory. Or select an existing directory to save your new Wellz survey file. Example: My Documents
To work in meters and calculate dogleg severity (DLS) over a 30 m interval, select meters and click Apply. To work in feet and calculate DLS over a 100 foot interval, select feet and click Apply. Note: The units used for the current Wellz file can be changed later by selecting Units under the Tools drop down box at the top of the main Wellz screen.
Once your working directory has been created (or selected), type the name of the survey file. The name of the survey file should match the file name entered previously in the Set Header Info
ialogue box.
#3 for a
sidetrack off leg #3.
d Example: 10950S for the build + leg #1 survey file, 10950SA for the leg #2 survey file, 10950SB for the leg survey file and 10950SB1
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Computalog Drilling Services - Wellz Quick Start Manual
Step 6: Selecting the Survey
Select the Survey tab to enter the survey section of the Wellz program.
Note: Selecting the Exit tab will also move the user into the survey section of the Wellz program.
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Computalog Drilling Services - Wellz Quick Start Manual
3. SETTING SURVEY VIEW OPTIONS
3.1. Changing Units
3.2. Changing Decimal Places Displayed
To change the units used for the current Wellz file, select Units under the Tools drop down menu. The Units dialogue box will appear just as it did when you started a new Wellz file. Note: Changing the units will convert all previously entered survey depth values to the appropriate new measured depth value (ie. 100 feet will change to 30.48 m). The DLS values may change slightly since the 30 m interval does not exactly match a 100 foot interval.
Select Set DecDisplayed unddrop down mendialogue box wappear.
Another method of changing the units usedis to single click the green box at the top right corner of the main Wellz survey screen. The Units dialogue box will then appear.
imal Places er the Tools u. A small ill then
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Computalog Drilling Services - Wellz Quick Start Manual
3.3. Arranging Columns
Select Pick Column Arrangement under the Tools drop down menu to pick a new columarrangement.
n
To customize your column arrangement select Create Custom and follow the instructions.
3.4. Hiding and Unhiding The Survey Tool Bar Tab
To hide the Survey Tool Bar Tab on the left side of the main Wellz survey screen, select ToolBars/Tabs under the Tools drop down menu and click Hide. To view the Survey Tool Bar Tab on the left side of the screen, follow the same steps and click Survey.
The Survey Tool Bar Tab.
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Computalog Drilling Services - Wellz Quick Start Manual
4. INPUTTING SURVEYS
Step 1: Inputting the Tie On Point
Step 2: Entering surveys
The first survey station is the Tie On Point. The Tie On Point row will appear in yellow as the active row. Hit the Enter key to input from leftto right through the required fields starting with measured depth (MD). The default Tie On Point is all zeros. Note: Lat = North
Dep = East
The Tie On Point can also be edited at any time by double clicking the tie on point row. The“Edit Survey “ dialogue box will then appear.
Once the Tie On Point has been properly entered, click once on the Departure (Dep) field and hit the Enter key to go to thenext r
ow.
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Computalog Drilling Services - Wellz Quick Start Manual
Input consecutive surveys (MD, INC, AZM) below the Tie On Point as required by hitting the Enter key.
Step 3: Editing The Survey Data
To edit an existing survey station, double click the desired row. Or Single click on the most recent survey station highlighted in yellow. Or Single click the Edit Survey button to enter a row number and access the “Edit Survey” dialoguebox.
To insert a single survey station, click the Insert Survey button to access the “Insert Survey Point” dialogue box.
To delete a survey station from the survey file, click the Delete Row button and input the row number or row numbers that you wish to delete. Tip: Click on the desired row that you want to delete before clicking the Delete Row button. This will ensure that the row number in the dialogue box corresponds to the row that you want to delete.
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Computalog Drilling Services - Wellz Quick Start Manual
5. INSERTING INTERPOLATED TEXT LINES FOR PRINT
The following are the steps required to interpolate surveys with text lines that can be inserted onto your survey printout.
Step 1
To add text to your survey file, select Edit Text Lines under the Tools drop down menu. The Text Lines For Active Well dialogue box will then appear.
Step 2
Insert an interpolated text line by 1: Selecting an Interpolation Method, 2: Entering a Depth, 3: Entering a Text Line and 4: Clicking Add.
Note: The interpolated text line survey depths can also be inserted into your survey file by clicking the Apply, Interpolate Text Line Depths to Sheet.
To edit an existing text line, double clickon the desired field inthe table at the top of the dialogue bo
x.
To delete an existing row, click on the desired row and click the Delete button.
To save your changes and exit the dialogue box, click OK. To save your changes without closing the dialogue box, click Apply. To close the dialogue box without saving your changes, click Close.
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Computalog Drilling Services - Wellz Quick Start Manual
6. QUICK PRINTING
Step 1: Access the Quick Print Options Dialogue Box
Step 2: Configure the Quick Print Options Dialogue B
Text lines with or without the interpolated Text Line Points can be inserted into thesurvey print out.
The Start Column and End Column, cthe columns in the main Wellz survey wselected.
To print out a listing of the survey file, select Quick Print under the File drop down menu. Note: The Printer Settings may have to be configured before you are able to print properly.
ox To select the range of survey stations that you wish to print, select Row Number, MD or TVD and the Start and End points.
Select to indicate
To include interpolations on the printout, select Interpolate by MD or TVD andclick the Apply New Settings button that appears.
The Quick Print can be Previewed, Printed or Canceled.
orresponding to indow, can also be
Row Numbers and extrapolated surveys (EXT).
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Computalog Drilling Services - Wellz Quick Start Manual
7. TARGETS
Step 1: Access the Targets Dialogue Box
To access the targets associated with the current Wellz file, select Show Targets under the Planning drop down menu.
Step 2: Add Targets
The location and orientation of multiple targets can be added toon the table below. The user has the option of inputting the La(east) OR the Closure distance and Closure Azimuth from su
To add more targets, expand the size of the above table by clicking the Add Target bu tton.
To delete a target, click the Delete Target button and enter the appropriate row number.
The targets dialogue box can also be accessed by clicking the Targets buttonon the Survey Tool Bar Taand clickin
b
g Show Targets.
the current Wellz file by clicking titude (north) and Departure rface for each target.
5-11
A target radius can be specified in the Targets dialogue box.
Note: The target will not appear on the plan view graphics unless the Graph Target Points is turned on.
Graph Target Points.
To do this, select Options under the Graphics drop down menu and check the
Computalog Drilling Services - Wellz Quick Start Manual
8. PROJECTING TO BIT
Step 1: Open Project To Bit dialogue box
Step 2: Set Parameters For Projection To Bit
To access the Project To Bit dialogue box, select Project To Bit under the Survey drop down menu.
The Project To Bit dialogue box can also be access using the Project To Bit button on the Survey Tool Bar Tab.
These are the survey numbers to the last survey station.
If you wish, the projection to bit survey can be inserted into the survey file by clicking the Insert in Active Well button. Note: The inserted survey will have an EXT row number and all row numbers thereafter will be EXT extension. To remove the EXT rows, use the Delete
Once the Build Rate, Turn Rate and Change in MD have been entered, click Calculate. The projected survey to the bit will appear in the adjacent row.
Input the estimated Build Rate, Turn Rate to a specific measured depth distance ahead (Change in MD). Note: When projecting to the bit, the Change in MD distance is the distance from the bit to the survey tool sensor.
button.
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Computalog Drilling Services - Wellz Quick Start Manual
9. PROJECTING AHEAD
9.1. Projecting To A Target
Step 1: Open Project Ahead Dialogue Box
To access the ProjectAhead dialogue box, select Project Ahead under the Survey drop down menu.
The Project Ahead dialogue box can also be accessed using the Project Ahead button on the Survey Tool Bar Tab.
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Computalog Drilling Services - Wellz Quick Start Manual
Step 2: Set Parameters For Projecting To a Target
The survey station that the projection is tied to can be selected by entering the survey row number or by clicking the Get Next Survey or Get Previous Survey buttons.
The target for the projection can be selected by enteringthe target row number or by clicking the Get Next Target orPrevious Target buttons.
Get
The Straight Line Projections from the selected survey station to the selected target are displayed above. This projection method indicates to the directional driller whether the well is lined up to hit inside or outside the target radius. Note: Remember to enter a target radius for the selected target.
The Build Rate To Target TVD and Target Inc is displayed below. Note: This is NOT the build rate to target. Note: For this number to be meaningful, the desired target inclination and target TVD must be entered in the Target info (Edit Targets).
To create extrapolations using various projection methods, click the Project Ahead button.
To edit or add a target to the list, click the Edit Targets button
The Required Correction To Targets,calculated from the selected survey station to the selected target, are displayed above. The required correction uses a constant dogleg to target projection method.
below (right).
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Computalog Drilling Services - Wellz Quick Start Manual
9.2. Projecting Ahead (Extrapolating)
Step 1: Set Parameters For Projecting Ahead
Select from one of the seven Projection Methods below.
Note: The size of each step can be changed by checking the Set Step Sizes Mode box.
Parameter Values can also be adjusted by clicking the Step Buttons below. This input method calculate autom y
will aticall
To deextrapDeletbutton
Following the last survey station, the Extrapolation (EXT) will appear in the above table. Each time the Projection Method and/or parameter values change, the EXT row will change accordingly.
To add the extrapolation(s) to the survey file, click the Ok (add to surveys) buttonappear in the survey file with EXT row numbers.
To close this dialogue box without adding the extrapolation(s) to the survey file, click
Note: The extrapolated survey station(s) can be removed from the survey file latesteps to remove an actual survey station (row).
Note: When a Projection Method is selected, the default parameter values that appeaare linked to thecorresponding selected t
r
arget alues.
Target buttons.
v To change the target, select theNext Target or Previous
Once a Projection Method has been selected, the appropriate variables will appearbelow. To adjust the parameter values, click on a box and enter a new value Click Calculate after all variables are entered to update the extrapolation in the table below.
lete the last olation, click the
e Projection .
To extrapolate from an extrapolation, click the Post Projection button and select another Projection Method.
5-15
. The extrapolation(s) will
the Close button.
r by following the same
Computalog Drilling Services - Wellz Quick Start Manual
10. INTERPOLATING 10.1. Inserting a Single Interpolated Point
The following steps will allow the user to insert a single interpolated point. The interpolated point will appear as an actual survey station in the Wellz file.
Step 1: Select an Interpolation Method
Note: To remove the inserted interpolated point, follow the saactual survey station (row). The current version of wells does not distinguish interpolated ssurvey stations. To indicate that a survey station is an interpolsame interpolated depth following the steps outlined in Sectionstate that the survey station is an interpolation. Ex. “INTERPO
Insert an interpolated point by clicking Insert Interpolated Point under the Tools drop down menu. Select one of the interpolation options (Measured Depth, TVDor Subsea). A dialogue box willthen appear where you can enter the desired interpolation depth.
After an interpolated depth has been entered, the Show Interpolation dialogue box will then appear. To insert the interpolated point as a survey row, click the Insertin Active Well button. To close the dialogue box without inserting the interpolation, click the Close button.
me steps used to remove an
urvey stations with actual ation, insert a text line at the 5. The text line should clearly LATION”.
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Computalog Drilling Services - Wellz Quick Start Manual
10.2. Viewing and Printing Multiple Interpolations
To create multiple interpolations across the entire survey file that can only be Viewed or Printed, follow the steps outlined below.
Note: The multiple interpolated points do not become survey staviewed or printed.
1. Select Show Plan Survey under the Planning drop down menu. 2. Select Interpolate by Measured Depth or Interpolate by TVD that the distance will be calculated on. 3. Enter the desired interpolated distance.
Note: To remove (hide) the interpolated points follow the same steps above and select Hide Interpolated points.
tions and can only be
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Computalog Drilling Services - Wellz Quick Start Manual
11. GRAPHICS
11.1. The Graphics Menu
The Graphics Menu allows the user to change the look of the Graphics Window.
When multiple Wellz files are open in memory, each file can be turned OFF or ON using the Pick Wells to Display.
To open a graphics window, selected the desired view (3-d, Plan or Section). To close the graphics window, select Hide Graphics.
To modify the view of the graphics window relative to the Active Well, select from the list.
Use this option when viewing the 3-d View. A dialogue box will appear requesting the number of frames for 360 degrees of rotation. Enter a suitable value (180) and the 3-d View will rotate
Select Options to further modify the graphics window. (Section 11.3)
11.2. Plan and Section Views
Step 1: Select the View
Select Plan View or Section View under the Graphics drop down box. A Wellz – grapwindow will appear on the left side of the screen. A second windowwill also appear on the right side of the screen containing Graphics Parameters with Well
hic
Parameters.
Note: The Well Parameters portion of the screen is a smaller version of the main Survey screen and will not be further discussed in the graphics section of the manual.
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Computalog Drilling Services - Wellz Quick Start Manual
Step 2: Modify The Graphic Parameters PLAN VIEW GRAPHIC PARAMETERS
Scale All - Decrease the Scale All to zoom in and increase the Scale All to zoom out. The Scale All value affects the east-west and north-south axis together.
Box Center East - Adjusts the East coordinate of the graphics view (box) center. Box Center North - Adjusts the North coordinate of the graphics view (box) center. Sector Size - The sector size is the grid box size outlined in black. Increase the sector size to reduce the number of grid lines. Decrease the sector size to increase the number of grid lines. Scale East - Decrease the Scale East to expand the east-west axis. Scale North - Decrease the Scale North to expand the north-south axis. Sector East - The sector size in the East – West direction.
- Tip: Match the Sector East value with the Scale East value. Sector North - The sector size in the North – South direction.
- Tip: Match the Sector North value with the Scale North value.
Note: To view your changes to the graphics window, the Calculate button must be selected.
Note: Using the up and down arrow at the right side of the graphics parameters screen is a quick way to modify the graphics view. The step sizes can be adjusted by checking the Set Step Sizes Mode box. To exit the Set Step Sizes, uncheck the Set Step Sizes Mode box.
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Computalog Drilling Services - Wellz Quick Start Manual
SECTION VIEW GRAPHIC PARAMETERS
Scale All - Decrease the Scale All to zoom in and increase the Scale All to zoom out. The Scale All value affects the vertical and horizontal axis together.
Box Center TVD - Adjusts the TVD of the graphics view (box) center. Section Displacement - Adjusts the Section Displacement of the graphics view (box) center. Sector Size - The sector size is the grid box size outlined in black. Increase the sector size to reduce the number of grid lines. Decrease the sector size to increase the number of grid lines. Scale Vertical - Decrease the Scale Vertical to expand the vertical axis. Scale Horizontal - Decrease the Scale Horizontal to expand the horizontal axis. Sector Vertical - The sector size in the vertical direction.
- Tip: Match the Sector Vertical value with the Scale Vertical value.
Sector Horizontal - The sector size in the horizontal direction. - Tip: Match the Sector Horizontal value with the Scale Horizontal value.
Note: To view your changes to the graphics window, the Calculate button must be selected.
Note: Using the up and down arrow at the right side of the graphics parameters screen is a quick way to modify the graphics view. The step sizes can be adjusted by checking the Set Step Sizes Mode box. To exit the Set Step Sizes, uncheck the Set Step Sizes Mode box.
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Computalog Drilling Services - Wellz Quick Start Manual
11.3. Graphics Options
Select Options under the Graphics drop down menu to access the graphics options below.
To change the color, thickness and dot line interval for the Active Well, Select the Set Color and Line Type of Well. Red is generally used for the “Proposed” line trajectory and blue is used as the “Actual” line trajectory.
Primarily used to alter only the 3-d view. Also used to change the darkness of the secondary grid lines for all views (ie. Grid Lightener).
There are three options for adding points to the graph: 1. Graph Survey Points will place a point at every survey station. 2. Graph Points of Interest will graph points from the Points of Interest table. 3. To remove all points from the graph, select Do Not Graph Points.
Select Graph Target Points to display all the targets entered in the Target table on the graph. Note: Remember to enter a radius for the target in the Target table.
To add, remove or edit the Points of Interest table, select the Edit Points of Interest. To view the points of interest on the graph, select Graph Points of Interest.
NmC
The coordinate system used for the graphic view can be selected as: Field Coordinates and Subsea depths OR Local Coordinates and TVD depths
ote: The Local Coordinate and TVD system puts the surface location for all Wellz files in emory at a latitude(north) = 0, departure(east) = 0 and KB starts at 0 m TVD. The Local oordinate system is the most commonly used coordinate system.
Note: The Field Coordinate and Subsea system is based on an arbitrary field center location that all well surface locations can be referenced from. This coordinate system is useful when viewing multiple wells in an area and/or producing anti-collison reports with Wellz. THE FIELD COORDINATE SYSTEM SHOULD ONLY BE USED WHEN THE NORTH OF FIELD CENTER, EAST OF FIELD CENTER AND KB ELEVATION VALUES FOR ALL WELLZ FILES IN MEMORY ARE PROPERLY ENTERED IN THE EDIT HEADER DATA DIALOGUE BOX.
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LWD SENSOR THEORY, APPLICATION, &
INTERPRETATION
LWD SENSOR THEORY, APPLICATION, &
INTERPRETATION
Directional Data
Importance of Directional Data
“Delivery of high quality, accurate directional data is your highest priority on my wellsite”
- the customer
Importance of Directional Data
• Things to remember:– You only have one chance to put the hole in the
right spot– You can’t assume that because the computer
comes up with an answer that it’s always correct (GIGO)
– It costs the company lots of money (profit) to correct a directional data screw up
Implications of Bad Directional Data
• Well is drilled at wrong inclination or in wrong direction
• Well collides with another well• Well crosses a lease line• We lose credibility with the customer• You potentially lose your job
What is Survey Data?
• A survey, or more appropriately a survey station, consists of the following components:– Inclination– Hole Direction (Azimuth)– Measured Depth
• The highest quality survey data is best achieved as a static measurement
• Survey data tells the directional driller where the hole has been
• Inclination and hole direction are downhole directional sensor measurements
• Measured depth is a surface derived depth monitoring system measurement
Inclination
• Inclination is the angle, measured in degrees, by which the wellbore or survey instrument axis varies from a true vertical line
• An inclination of 0° would be true vertical
• An inclination of 90° would be horizontal.
Hole Direction
• Hole direction is the angle, measured in degrees, of the horizontal component of the borehole or survey instrument axis from a known north reference
• This reference is true north or grid north, and is measured clockwise by convention
• Hole direction is measured in degrees and expressed in either azimuth form (0° to 360°) or quadrant form (NE, SE, NW, SW)
Measured Depth
• Measured depth refers to the actual depth of hole drilled measured from the surface location (drill floor) to any point along the wellbore
What is Steering Data?
• Steering, or toolface data, is dynamic data and tells the directional driller the position of the bend of the mud motor
• Orienting the bend to the desired position allows him to control where the hole will begoing
• There are two types of toolface data– Magnetic– Highside (Gravity)
Magnetic Toolface
• Magnetic toolface is the direction, in the horizontal plane, that the mud motor bend is pointing relative to the north reference
• Magnetic Toolface = Dir Probe Mag Toolface + Total Correction + Toolface Offset
• Magnetic toolface is typically used when the inclination of the wellbore is less than 5°
• The magnetic toolface reading is whatever magnetic direction the toolface is pointed to
Gravity Toolface
• Gravity toolface is the angular distance the mud motor scribeline is turned, about the tool axis, relative to the high side of the hole
• Gravity toolface = Dir Probe Gravity Toolface + Toolface Offset
• If the inclination of the wellbore is above 5°, then gravity toolface can be used
• The toolface will be referenced to the highside of the survey instrument, no matter what the hole direction of the survey instrument is at the time
• The toolface will be presented in a number of degrees either right or left of the highside
Gravity Toolface
• For example, a toolface pointed to the highside of the survey instrument would have a gravity toolface of 0°
• A toolface pointed to the low side of the survey instrument would have a gravity toolface of 180°
• If the probe highside point was rotated to the right of highside, the gravity toolface would be 70° to the right.
Electronic Accelerometer & Magnetometer Axes
• “Z” axis is along the length of the probe (axial plane)
• “X” and “Y” are in the cross-axial plane and are perpendicular to each other and to the “Z” axis
• “Highside” is aligned with the “X” axis
• All three axes are “orthogonal” to each other
Quartz-Hinge Accelerometers
• Respond to the effect of the earth’s gravitational field in each plane
• An alternating current (AC) is used to keep the quartz proof mass in the reference position as the accelerometer is moved relative to gravity
• The intensity of the “bucking” current is related to the gravitational force felt by the accelerometer
Fluxgate Magnetometers
• Respond to the effect of the earth’s magnetic field in each plane
• The magnetometer contains two oppositely wound coils around two highly magnetically permeable rods
• As AC current is applied to the coils, an alternating magnetic field is created, which magnetizes the rods
• Any external magnetic field parallel with the coil will cause one of the coils to become saturated quicker than the other
• The difference in saturation time represents the external field strength.
Earth’s Magnetic Field
• The outer core of the earth contains iron, nickel and cobalt and is ferromagnetic
• The Earth can be imagined as having a large bar magnet at its center, lying (almost) along the north-south spin axis
• Although the direction of the field is magnetic north, the magnitude will be parallel to the surface of the Earth at the equator and point steeply into the Earth closer to the north pole
Earth’s Magnetic Components
• M = Magnetic North direction• N = True North direction• Btotal = Total field strength of
the local magnetic field• Bv = Vertical component of the
local magnetic field• Bh = Horizontal component of
the local magnetic field• Dip = Dip angle of the local
magnetic field in relationship to horizontal
• Dec = Variation between the local magnetic field’s horizontal component and true north
• Gtotal = Total field strength of the Earth’s gravitational field
Dip Angle vs. Latitude
• Lines of magnetic flux lie perpendicular (90°) to the earth’s surface at the magnetic poles
• Lines of magnetic flux lie parallel (0°) to the earth’s surface at the magnetic equator
• Dip Angle increases as Latitude increases
• As dip angle increases the intensity of the horizontal component of the earth’s magnetic field decreases
Dip Angle vs. Latitude
• At the magnetic equator, Bh= Btotal, Bv = 0
• At the magnetic poles, Bh = 0, Bv = Btotal
• Bh is the projection (using the dip angle) of Btotal into the horizontal plane
Bh = Btotal
Bv = Btotal Bh = 0
Bh = Btotal(cos Dip)
Btotal
Bv = Btotal(sin Dip)
Magnetic Declination
• Complex fluid motion in the outer core causes the earth’s magnetic field to change slowly and unpredictably with time (secular variation)
• The position of the magnetic poles also change with time
• However, we are able to compensate for this variability by applying a correction (declination) to a magnetic survey which references it to true north
Magnetic Pole Movement (1945 – 2000)
North Pole
South Pole
True North
• True north, or geographic north, is aligned with the spin axis of the Earth
• True north does not move making it a perfect reference
• A survey referenced to true north will be valid today and at any time in the future
• The correction we apply to change a magnetic north direction to a true north direction is called declination.
Applying Declination
• To convert from Magnetic North to True North, Declination must be added:
True Direction = Magnetic Direction + Declination
Important Note:• East Declination is Positive & West Declination is Negative in both the
northern and southern hemispheres
Applying an East Declination
• An east declination means that magnetic north is east of true north
• For example, if magnetic north hole direction is 75°and the declination is 5° east, the true north direction would be calculated as follows:True Direction = Magnetic Direction + Declination80° = 75° + (+5°)
Applying a West Declination
• A west declination means that magnetic north is westof true north
• For example, if magnetic north hole direction is 120°and the declination is 5°west, the true north direction would be calculated as follows:True Direction = Magnetic Direction + Declination115° = 120° + (-5°)
Implications of an Incorrect Declination
• Since declination is a addition of degrees of correction to the magnetic hole direction, any mistakes made to the declination have serious consequences.
• For example, if you intend to apply a +18°declination but instead input a -18 ° declination, your reported hole direction will be wrong by 36°!
• This mistake may not be detected until the data is compared against independent survey data
Grid Convergence
• Corrects for the distortion caused by projecting the curved surface of the earth onto a flat plane
• Correction becomes more severe moving from the equator towards the poles
• Two common projection methods are Transverse Mercator and Lambert
UTM Grid Projection
• In the Universal Transverse Mercator Grid, the earth is divided into sixty, 6° grid zones
Grid Zones
• A central meridianbisects each 6° grid zone
• Each central meridian is along true north
• If directly on the central meridian or on the equator, the grid correction is ZERO
Convergence is zero here
Grid Zones
Maximum Grid Correction• Convergence correction increases as location moves away from the equator and central meridian
• Convergence should not be more than +/-3°, otherwise the incorrect central meridian has been chosen
Grid Zones
• For rectangular coordinates, arbitrary values have been established within each grid
Comparing Grid Projections
• Different projections yield varying views in terms of distance, shape, scale, and area
Applying Convergence
• To convert from Grid North to True North, Convergence must be subtracted:
Grid Direction = True Direction – Convergence
Important Note:• East Convergence is Positive & West Convergence is Negative in the
Northern Hemisphere• East Convergence is Negative & West Convergence is Positive in the
Southern Hemisphere
Applying an East Convergence
• An east convergence means that grid north is east of true north
• For example, if true north hole direction is 70° and the convergence is 3° east, the grid north direction would be calculated as follows:
Grid Direction = True Direction - Convergence 67° = 70° - (+3°)
Applying a West Convergence
• A west convergence means that grid north is west of true north
• For example, if true north hole direction is 120° and the convergence is 3° west, the grid north direction would be calculated as follows:
Grid Direction = True Direction - Convergence 123° = 120° - (-3°)
Applying Declination and Convergence Simultaneously
• Replacing the formula for a true north direction in the grid north direction equation gives us the following formula:
• Grid Direction = Magnetic Direction + Declination – Convergence
• (Declination – Convergence) is called the Total Correction
• If magnetic declination is 5° east and the grid convergence is 3° west, and the magnetic direction is 130°, the grid direction is calculated as:138° = 130° + (+5°) - (-3°)
Static Survey Procedure
• Drill down to the end of the joint or stand and stop rotating
• Work the pipe up and down to release any built up torque in the drillstring
• Lower the bit to the survey point and shut down the pumps
• Wait 30 – 40 seconds• Turn on the pumps and transmit the survey to
the surface (pipe may be moved slowly while sending up the survey)
Sources of Real-time Inclination Errors
• These factors can introduce error into the inclination value presented to the directional driller:– Movement during a survey (axial or rotational) – Accelerometer or associated electronics failure– Calibration out of specifications– Sensor measurement accuracy– Real-time Data resolution
Inclination Quality Checks
• Does the inclination value match the actions of the directional driller?
• Is Gtotal within +/- 0.003 g of the Local Gravitational Field Strength?
Gtotal = (Gx2 + Gy2 +Gz2 ) 1/2
Sources of Real-time Azimuth Errors
• These factors can introduce error into the hole direction value presented to the directional driller:– Magnetic Interference (axial or cross-axial)– Magnetometer or associated hardware failure– Calibration out of specification– “Bad” accelerometer input (inclination and highside toolface are
part of the calculation!)– Mathematical Error (at 0° and 90° inclination)– Sensor measurement accuracy– Real-time Data resolution– Latitude, Inclination, Hole direction– Wrong Declination and/or Convergence
Azimuth Quality Checks
• Does the azimuth value match the actions of the directional driller?
• Is Btotal within +/- 350 nT of the Local Magnetic Field Strength?
Btotal = (Bx2 + By2 +Bz2 ) ½
• Is Gtotal within +/- 0.003 g of the Local Gravitational Field Strength?
Additional Survey Quality Checks
(Bx * Gx) + (By * Gy) + (Bz * Gz)• MDIP = ASIN {----------------------------------------------}
Gtotal * Btotal
• Is the calculated Magnetic Dip value within +/- 0.3º of the Local Magnetic Dip value?
• MDIP utilizes inputs from the accelerometers and magnetometers but is not as sensitive of a quality check as Gtotal and Btotal
• It is possible for the MDIP to be out of specification even if the Gtotal and Btotal are not
• NOTE: MDIP should not be used as sole criteria to disqualify a survey if Gtotal and Btotal are within specification
Survey Quality Checks
• Gtotal = (Gx2 + Gy2 +Gz2 ) 1/2
• Btotal = (Bx2 + By2 +Bz2 ) 1/2
(Bx * Gx) + (By * Gy) + (Bz * Gz)• MDIP = ASIN {----------------------------------------------}
Gtotal * Btotal
Survey Quality Check Limits
• Gtotal = Local Gravity +/- 0.003 g
• Btotal = Local Field +/- 350 nT
• MDIP = Local Dip +/- 0.3°
Survey Quality Example #1
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip3.72 125.01 1.0012 58236 75.25
Based on your observations, are the inclination and azimuth values acceptable?
Survey Quality Example #1
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip3.72 125.01 1.0012 58236 75.25
+0.0012 -119 -0.05
Based on your observations, are the inclination and azimuth values acceptable? YES / YES
Survey Quality Example #2
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip5.01 127.33 1.0009 58001 74.84
Based on your observations, are the inclination and azimuth values acceptable?
Survey Quality Example #2
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip5.01 127.33 1.0009 58001 74.84
+0.0009 -354 -0.36
Based on your observations, are the inclination and azimuth values acceptable? YES / NO
Survey Quality Example #3
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip8.52 125.34 0.9953 58150 74.28
Based on your observations, are the inclination and azimuth values acceptable?
Survey Quality Example #3Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip8.52 125.34 0.9953 58150 74.28
-0.0047 -205 -0.92
Based on your observations, are the inclination and azimuth values acceptable? NO / NO
Survey Quality Example #4
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip17.13 129.88 1.0120 57623 73.44
Based on your observations, are the inclination and azimuth values acceptable?
Survey Quality Example #4
Given the following survey data, decide whether each quality check is within limits
Local References: Gtotal = 1.000 g Btotal = 58355 nT Mdip = 75.20°
INC AZ Gtotal Btotal MDip17.13 129.88 1.0120 57623 73.44
+0.0120 -732 -1.76
Based on your observations, are the inclination and azimuth values acceptable? NO / NO
Survey Calculation Methods
• Once we have verified the quality of the inclination, hole direction, and measured depth values at the survey station the data is then passed to the directional driller
• Survey calculations are performed between survey stations to provide the directional driller with a picture of the wellbore in both the vertical and horizontal planes
• If the input parameters are identical the calculated survey values on your survey report should match the directional drillers’
Survey Calculation Methods
• Survey calculations are more easily understood by applying basic trigonometric principles
Tangential Calculation Method
• Assumes that the borehole is a straight line from the first survey to the last
Average Angle Calculation Method
• Assumes distances from survey to survey are straight lines
• Fairly accurate and conducive to hand calculations
Radius of Curvature Calculation Method
• Applies a “best fit” curve (fixed radius) between survey stations
• More accurately reflects the shape of the borehole than Average Angle
Minimum Curvature Calculations
• Uses multiple points between survey stations to better reflect the shape of the borehole
• Slightly more accurate than the Radius of Curvature method
Comparison of Calculation Methods
• Total Survey Depth @ 5,985 feet• Maximum Angle @ 26°• Vertical hole to 4,064 feet, then build to 26° at 5,985 feet• Survey Intervals approximately 62 feet
Survey Terminology
Survey Terminology
• Survey Station– Position along the borehole
where directional measurements are taken
• True Vertical Depth (TVD)– The projection of the borehole
into the vertical plane
• Measured Depth (MD)– The actual distance traveled
along the borehole
• Course Length (CL)– The measured distance traveled
between survey stations
Survey Terminology
• Horizontal Displacement (HD)– Projection of the wellbore into the
horizontal plane– Horizontal distance from the
wellhead to the last survey station– Also called Closure
• Latitude (Northing)– The distance traveled in the north-
south direction in the horizontal plane
– North is positive, South is negative• Departure (Easting)
– The distance traveled in the east-west direction in the horizontal plane
– East is positive, West is negative
Survey Terminology
• Target Direction– The proposed direction of wellbore
• Vertical Section (VS)– The projection of the horizontal
displacement along the target direction
– The horizontal distance traveled from the wellhead to the target along the target direction
• Dogleg Severity (DLS)– a normalized estimate (e.g.,
degrees / 100 feet) of the overall curvature of an actual well path between two consecutive survey stations
Vertical Section Calculation• To calculate vertical section
the closure (horizontal displacement), closure direction, and target direction must be known
• The vertical section is the product of the horizontal displacement and the difference between the closure direction and target direction
VS = HD * (Target Direction – Closure Direction)
Vertical Projection
• In the vertical projection the directional driller plots True Vertical Depth versus Vertical Section
• The wellbore must pass through the vertical target thickness along the vertical section direction in order to hit the target in this plane
KickoffPoint
TrueVerticalDepth
Vertical Section
Tangent
Build Section
Locked in Section
Horizontal Projection
• In the horizontal projection the directional driller plots Latitude versus Departure
• The wellbore must pass through the horizontal target radius along the proposed target direction in order to hit the target in this plane
N
E
Latitude
Departure
Proposal Direction
Closure
Vertical Section
1
1
Introduction to Directional Drilling
• Directional drilling is defined as the practice of controlling the direction and deviation of a well bore to a predetermined underground target or location
2
Directional Wells
• Slant• Build and
Hold • S-Curve• Extended
Reach• Horizontal
2
3
Applications of Directional Drilling
• Multiple wells from offshore structure• Controlling vertical wells• Relief wells
4
Applications of Directional Drilling
• S-Curve
3
5
Applications of Directional Drilling
• Extended-Reach Drilling• Replace subsea wells and tap offshore reservoirs from
fewer platforms• Develop near shore fields from onshore, and• Reduce environmental
impact by developingfields from pads
6
Directional Drilling Tools
• Steerable motors• Instrumented motors for geosteering
applications• Drilling tools• Surveying/orientation services• Surface logging systems• At-bit inclination
4
7
Applications of Directional Drilling
• Sidetracking
• Inaccessible locations
8
Applications of Directional Drilling
5
9
Applications of Directional Drilling
• Drilling underbalanced
• Minimizes skin damage,• Reduces lost circulation and stuck pipe incidents,• Increases ROP while extending bit life, and• Reduces or eliminates the need for costly stimulation
programs.
10
Directional Drilling Limitations
• Doglegs• Reactive Torque• Drag• Hydraulics• Hole Cleaning• Weight on Bit• Wellbore Stability
6
11
Methods of Deflecting a Wellbore
• Whipstock operations• Still used
• Jetting• Rarely used today, still valid and inexpensive
• Downhole motors• Most commonly used, fast and accurate
12
Whipstock Operations
7
13
Jetting
14
Effect of Increased Bit Weight
• Increase Weight on Bit –Increase Build Rate
8
15
Effect of Decreased Bit Weight
• Decrease Inclination -Decrease Weight on Bit
16
Reasons for Using Stabilizers
• Placement / Gauge of stabilizers control directional• Stabilizers help concentrate weight on bit• Stabilizers minimize bending and vibrations• Stabilizers reduce drilling torque less collar contact• Stabilizers help prevent differential sticking and
key seating
9
17
Stabilization Principle
• Stabilizers are placed at specified points to control the drill string and to minimize downhole deviation
• The increased stiffness on the BHA from the added stabilizers keep the drill string from bending or bowing and force the bit to drill straight ahead
• The packed hole assembly is used to maintain angle
18
Stabilizer Forces
10
19
Design Principles
• Side force• Fulcrum Principle• Weight on Bit
20
Typical Side Force vs. Inclination
11
21
Side Force
• Force resulting from bending the tubular
• F S = Bi * SC * 3.0LT3
• Bi : displacement distance of bending interference, in• SC : stiffness coefficient, lb in 2• LT : axial length over which bend occurs, in
22
Typical Collar Stiffness
• SC = IE• I: moment of inertia, in4
• E: modulus of elasticity• SC : stiffness coefficient, lb in2
I = π/64 (DO4 - Di
4 )
12
23
Properties of Tubular Steels
Metal Density lb/ft3 Modulus of elasticity 106psiLow Carbon Steel 491 29.0Cr-Mo Steel 491 28.0Monel K-500 529 26.0 304 Stainless 501 27.4316 Stainless 501 28.1Inconel 526 31.0Aluminum 170 10.3
24
Physical Properties
• Modulus of elasticity• Size and weight• Stiffness
13
25
Drill Collar Weight
26
Fulcrum Principle
• Fulcrum-stabilizer inserted drill string above the bit
• Applied weight causes the bottom collars to bow
• Above 5o inclination, it bows toward the low side of the hole
• Pushes the bit hard against the top of the hole, build section
14
27
Build Assemblies
• Building assemblies use a fulcrum to create and control positive side force
F1 L1 = F2 L2
28
Fulcrum Position
• The closer to the bit the higher the side force for given drill collar size
15
29
Weight on Bit
• Axial loading created by weight on bit produces buckling forces between stabilizer and bit
• Hole size• Collar size• Weight on bit
30
Directional Control
• BHA types
• Drop (pendulum)• Build (fulcrum)• Hold (packed hole)
• Design principles
• Side force• Bit tilt• Hydraulics• Combination
16
31
Pendulum Principle
• The stabilizer above the bit is removed and an additional drill collar is added, making the bottom hole assembly more flexible
• The upper stabilizers, properly placed, hold the bottom drill collar away from the low side of the hole
• Gravitational forces act on the bottom collar and bit, causing the hole to lose or decrease angle
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Dropping Assemblies
• Dropping assemblies act as a pendulum to create and control negative side force
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Slick Assembly
• To increase drop rate:• increase stiffness• increase bit size to collar size ratio• increase drill collar weight• decrease weight on bit• increase rotary speed
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Stabilizer Placement
• To increase drop rate:• increase tangency length• increase stiffness• increase drill collar weight• decrease weight on bit• increase rotary speed
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Dropping Assemblies
• To increase drop rate:• increase tangency length• increase stiffness• increase drill collar weight• decrease weight on bit• increase rotary speed
• Common TL: • 30 ft• 45 ft• 60 ft• 90 ft
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Drop Assemblies Response
High -
Medium -
Low -
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Angle Drop 90'
• Inclination WOB Est. drop rate/100 ft• 30° - 45° 0 - 15,000 lbs 2.00° - 2.50°
15,000 - 30,000 lbs 1.25° - 1.50°
• 20° - 30° 0 - 15,000 lbs 1.25° - 1.50°15,000 - 30,000 lbs 0.75° - 1.00°
• 5° - 20° 0 - 15,000 lbs 0.75° - 1.00°15,000 - 30,000 lbs 0.50° - 0.75°
• 0° - 5° 0 - 15,000 lbs 0.00° - 0.50°15,000 - 30,000 lbs 0.00° - 0.00°
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Angle Drop 60'
• Inclination WOB Est. drop rate/100 ft• 30° - 45° 0 - 15,000 lbs 1.25°
15,000 - 30,000 lbs 1.00°
• 20° - 30° 0 - 15,000 lbs 1.00°15,000 - 30,000 lbs 0.75°
• 0° - 20° 0 - 15,000 lbs 0.75°15,000 - 30,000 lbs 0.50°
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Angle Drop 30'
• Inclination WOB Est. drop rate/100 ft• 20° - 45° 0 - 15,000 lbs 0.75°
15,000 - 30,000 lbs 0.50°
• 20° - 30° 0 - 15,000 lbs 0.25°15,000 - 30,000 lbs 0.25°
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Building Assemblies
• Two stabilizer assemblies increase control of side force and alleviate other problems
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Build Assemblies Response
High -High -High -
Medium -Medium -Medium -
Low -
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Hold Assemblies Response
High -
High -
High -
Medium -
Low -
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Expected Dog Leg
BR = θ x 200 L1 + L2
English units
BR = θ x 60L1 + L2
SI units
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Predicting Build Rate
BR = delta Inc. x 30Curve length
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Special BHA’s
• Tandem Stabilizers• Provides greater directional control• Could be trouble in high doglegs
• Roller Reamers• Help keep gauged holes in hard formations• Tendency to drop angle
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Application of Steerable Assemblies
• Straight-Hole• Directional Drilling / Sidetracking• Horizontal Drilling• Re-entry Wells• Underbalanced Wells / Air Drilling• River Crossings
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Steerable Assemblies
• Build
• Drop
• Hold
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Planning a Directional Well
• Geology• Completion and Production• Drilling Constraints
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Geology
• Lithology being drilled through
• Geological structures that will be drilled
• Type of target the geologist is expecting
• Location of water or gas top• Type of Well
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Completion and Production
• Type of completion required (“frac job”, pumps and rods, etc.)
• Enhanced recovery completion requirements• Wellbore positioning requirements for future
drainage/production plans• Downhole temperature and pressure
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Drilling
• Selection of surface location and well layout• Previous area drilling knowledge and identifies
particular problematic areas
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Drilling• Casing size and depths• Hole size• Required drilling fluid• Drilling rig equipment and capability• Length of time directional services
are utilized• Influences the type of survey
equipment and wellpath
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Planning
• Build rates• Build and hold profiles should be
at least 50m• Drop rate for S-curve wells is
preferably planned at 1.5 o/30m • KOP as deep as possible to reduce
costs and rod/casing wear• In build sections of horizontal
wells, plan a soft landing section
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Planning
• Avoid high inclinations through severely faulted, dipping or sloughing formations
• On horizontal wells clearly identify gas/water contact points
• Turn rates in lateral sections of horizontal
• Verify motor build rates
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Planning
• Where possible start a sidetrack at least 20m out of casing
• Dogleg severity could approach 14o/30m coming off a whipstock
• Identify all wells within 30m of proposed well path and conduct anti-collision check
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Hole Cleaning - Transportation
• The cuttings are effectively suspended by the fluid shear and beds do not form for holes inclined less than 30°.
• Beyond 30°, the cuttings form beds on the low side of the hole which can slide back down the well, causing the annulus to pack-off.
• These cuttings can be transported out of the well by a combination of two different mechanisms. • Slide as a block• transported at the bed/mud interface as ripples or dunes
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Hole Cleaning
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Hole Cleaning - Hole Angle
Cuttings removal generally becomes more difficult as hole angle increases. Angles between 50°–60° present most problems because the cuttings have a tendency to slide down the annulus and cause packing off. In wells deviated beyond 60°, the cuttings form stable beds. These beds are supported by the sliding friction against the wellbore. The angle range for cuttings bed slide depends largely on mud rheology and problems cleaning the hole can be experienced from 40°–60°.
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Hole Cleaning - ROP
Increases in penetration rate result in higher cuttings concentrations in the annulus. Past experience has shown that 0.5% is the maximum allowable annular concentration to efficiently drill vertical and near vertical wells. For deviated wells, deeper cuttings beds form as the penetration rate increases. Removing these deeper beds require higher flowrates. It is important to control and limit instantaneous ROP’s in deviated wells since deep beds are difficult to remove. PERCENT (%)
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Hole Cleaning - MUD Rheology
• Low viscosity fluids are most effective at angles above 30° since they induce turbulence and encourage cuttings removal by saltation.
• Plastic viscosity should be minimized to reduce pressure losses and obtain a flatter viscosity profile.
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Hole Cleaning - Pump Rate
The single most crucial factor for successful hole cleaning is mud flow rate, especially for deviated holes. As a rough guide, the annular velocity needed for cleaning wells deviated 50°–60° is approximately twice that required for the vertical case. Take all reasonable steps to reduce frictional pressure. Doing so will extend the range of available flowrate. In critical cases, careful consideration should be given to BHA design, nozzle selection, and additional losses due to mud motors/MWD tools.
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Hole Cleaning - Bit Nozzle Selection
• If sufficient flow rate is available for hole cleaning, then bit nozzles can be selected for optimum hydraulics in the normal way. When sizing bit nozzles, it is also important to note that:• Certain mud motors have optimum bit differential
pressure ranges• Nozzles should be selected to minimize potential hole
erosion problems for friable formations
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Hole Cleaning - Hole Angles Above 40°
• Turbulent/transitional flow is most effective in cleaning and evacuating/minimizing cuttings bed formation
• Laminar flow• highest possible pump output/annular velocities.• Optimize the low shear rheology• High initial gel strength gives rapid suspension of
cuttings• wiper trips, pipe rotation, reciprocation, backreaming
when top drive is available, and pills pumped
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Hole Cleaning - Mud Weight
Mud weight influences hole cleaning by affecting the buoyancy of the drilled cuttings. This applies for both vertical and deviated holes. For small changes in density, the flowrate required to maintain adequate hole cleaning is directly proportional to the cuttings mud density differential.
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Hole Cleaning - Cuttings Type
Increased cuttings density make hole cleaning more difficult for both vertical and inclined wells. Cuttings shape and size is also important in vertical transport. The larger, more rounded particles are the hardest to remove. Shape and size have little influence in highly deviated wells because the cuttings move in blocks rather than discrete particles.
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Hole Cleaning - Drillpipe Rotation
Rotating the drillstring will assist in mechanically disturbing cuttings beds in deviated wells. The rotating pipe forces cuttings upwards to the high side of the hole, and into the fastmoving mud stream. Drillpipe rotation also encourages mud flow in the narrow gap between the pipe and the settled bed. When a downhole motor in oriented mode is used in a deviated well, the cuttings beds are probably not being disturbed. Consider rotating the string prior to tripping. Fieldstudies show that pipe rotation while drilling enhances the hole cleaning efficiency.
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Hole Cleaning Practices
• Flow rates in the 300–500 gpm range will generally be adequate for cleaning 216 mm (8-1/2 in) horizontal sections.
• Select mud properties which provide turbulent flow, if possible.• To achieve turbulence, maintain maximum mud YP close to 10 lb/100 ft2 .• ECD increases when drilling horizontally, but formation strength remains
fixed. Ensure that ECD does not cause formation breakdown when drilling horizontal section.
• Select MWD/downhole motors that do not restrict flow rates for hole cleaning.
• Limiting nozzle pressure drop for motor considerations (i.e., maximum allowable bit pressure drop for motor being used) may be necessary.
• If possible, plan well trajectory to avoid drilling long sections of large diameter holes above 50°. Look closely at the pump capacity of the rig.
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Hole Cleaning Drilling Hydraulics
• Deviated wells require higher flow rates.• Design BHA’s for minimum pressure loss in critical wells.• Hole angles 50°–60° are most difficult to clean (can be 45°–60°
dependent on mud rheology).• Control instantaneous ROP’s.• Increase flowrate rather than changing rheology when cleaning
deviated wells.• Increased mud weight assists cuttings removal.• Drillpipe rotation assists hole cleaning in deviated holes. A minimum
of 60 rpm is recommended. Higher rpm’s assist.• Minimize hole washouts by developing a good hydraulic design.• Drill “minimum rat hole” consistent with safe running of casing.• Use a riser booster pump on semi-submersibles, if necessary.
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Hole Cleaning During Tripping
• Always circulate the hole clean prior to tripping. Use “minimum” circulation times.
• Rotate the pipe at maximum of 60 rpm when circulating prior to tripping.
• Use low vis/low wt pills for wells > 30°. Calculate volumes to ensure well control.
• Make a rotary wiper trip after a long section is drilled withdownhole motor.
• Make sure cementing pumps are available to pump in the case of an emergency.
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Mud Motors
Turbine PDM
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Commander TM PDM Motors
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Motor Selection
• These are the three common motor configurations which provide a broad range of bit speeds and torque outputs required satisfying a multitude of drilling applications• High Speed / Low Torque - 1/2 Lobe• Medium Speed / Medium Torque - 4/5 Lobe• Low Speed / High Torque - 7/8 Lobe
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Components of PDM Motors
• Dump Subs• Motor Section• Universal Joint Assembly• Adjustable Assembly• Bearing Assembly
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Dump Sub
• Allows Drill String Filling and Draining
• Operation- Pump Off - Open- Pump On - Closed
• Discharged Ports• Connections
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Motor Section
• Positive Displacement Motor ( PDM )
• Lobe Configurations• Stages
Performance Characteristics
40
79
Motor Section
• Positive Displacement MotorPDM
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Universal Joint Assembly
• Converts Eccentric Rotor Rotationin to Concentric Rotation
• Universal Joint
• Flex Rod
Constant Velocity Joint --
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Adjustable Assembly
• Two Degree and Three Degree
• Field Adjustable in Varying Increments to the Maximum Bend Angle
• Used in Conjunction with Universal Joint Assembly
H = 1.962 o
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Bearing Assembly
• Transmits bit axial and radial loads to the drillstring
• Thrust bearing• Radial bearing• Oil reservoir• Balanced piston• High pressure seal• Bit box connection
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Motor Specifications
• Motor specifications• Dimensional data• Ultimate load factors• Performance charts
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Motor Specifications
43
85
Motor Specifications
86
Performance Charts
44
87
Rotor Bypass
• Used to increase the flow rate through the drilling motor beyond the capacity of the power section
• All Multi-lobe motors from 3 3/8’’ and larger use ported rotors
• May be field installed if required