interpretation of aeromagnetic data over gboko using spi and analytical method
TRANSCRIPT
INTERPRETATION OF AEROMAGNETIC DATA OVER GBOKO USING
SOURCE PARAMETER IMAGING AND ANALYTICAL SIGNAL
BY
OJOTU KAZEEM ABDULLAHI2009/1/33307BP
DEPARTMENT OF PHYSICSSCHOOL OF PHYSICAL SCIENCE
FEDERAL UNIVERSITY OF TECHNOLOGYMINNA; NIGER STATE
NOVEMBER; 2014INTERPRETATION OF AEROMAGNETIC DATA OVER GBOKO USING
SOURCE PARAMETER IMAGING AND ANALYTICAL SIGNAL
BY
OJOTU KAZEEM ABDULLAHI2009/1/33307BP
A PROJECT REPORT SUBMITTED TO PHYSICS DEPARTMENT, FEDERALUNIVERSITY OF TECHNOLOGY, MINNA IN PARTIAL FULFILLMENT FOR THE
AWARD OF BACHELOR OF TECHNOLOGY (B.TECH) DEGREE IN PHYSICS/ ELECTRONICS
DECLARATION
I declare that the project report titled, “Interpretation of
Aeromagnetic Data over of Gboko using Source Parameter
Imaging and Analytical signal” has been performed by me in the
Department of Physics. The information derived from the
literature has been duly acknowledged in the text and list of
references provided. No part of this project report was
previously presented for another degree or diploma at any
university.
Sign……………………………. Date………...……… Ojotu Kazeem Abdullahi
i
CERTIFICATION
This project report entitled “Interpretation of Aeromagnetic
data over of Gboko using Source Parameter Imaging and
Analytical signal” by Ojotu Kazeem Abdullahi meets the
regulations governing the award of the degree of bachelor of
Technology in physics of Federal University of Technology,
Minna and is approved for its contribution to knowledge and
literary presentation.
...............................................
......................................Mr Adetona, A DateProject Supervisor
ii
...............................................
......................................Dr Uno, E.U DateHead of Department
...............................................
........................................External Examiner Date
DEDICATION
I dedicate this report work to Almighty Allah for his guidance
and sustenance he gave to me till this moment I’m truly
grateful to him.
iii
I also dedicated to my parents Mr. and Mrs. Abdullahi Ojotu
whom without their effort I would not be opportune to be in
this school and who stands with me through my academics
endeavor. May Allah continue to bless them abundantly (AMIN).
ACKNOWLEDGEMENTiv
My sincere appreciation goes to Almighty Allah for his love,
care and guidance over me throughout my academic pursuit.
My appreciation goes to Mr. Adetona Abbass, who plays a
fatherly role and a mentor in the supervision of this project.
Many thanks go to all the departmental lecturers, departmental
secretary and my HOD; Dr Uno, E.U.
Special thanks to Mr Dada Michael for his support throughout
the entire duration of this program.
I am grateful to my dad, late Mr. Abdullahi Ojotu, whose
absence has made me stronger, my Mum, Mrs. Asmau Ojotu for his
support; prayerfully, financially and morally and My wonderful
sibling; Ismail, Rabiat, Munirat, Halimat and my cousins whose
trust kept lifting me higher.
All my friends; Adimchinobi, My “Elwaziri clique”I see you, my
Precious jewel; Jesuseun, faith, Awwal, Salisu, Mrs Ekeno,
Timacool, Farhat, hussy of life, my roommates; zeeky and
Tankocaine, compound mates; sexy-tee of life, Miscutie,
Khamon, Idih, Mary, Rahmat(cousin of life), Joy Lemba and so
many others, thanks for being part of this chapter of my life.
v
My project colleague; Shakirat, whose assistance was priceless
during this project work.
And my newly added family, Mr. and Mrs. Emeka Coleman C., who
supported me during this course would not be left out I thank
you.
ABSTRACT
The IGRF filtered Aeromagnetic data over Gboko, a town incentral part of Nigeria within the lower Basin was subjectedto vertical and horizontal analysis, Source Parameter Imagingand Analytical Signal. This reveals the geophysicalinformation such as Minimum depth within the study area is95.527m and these exist within North-western region, lower-midportion and north-eastern corner of the study area. Themaximum depth of 8323m was observed around south-westernregion. The amplitude response equally shows amplitude from0.029 to 2.730 nT/M is region with outcrops, amplitude rangingfrom 0.011nT/M to 0.03 nT/M is intrusive bodies while areawith thick sediment has amplitude ranging from 0.00nT/M to0.011 nT/M. Correlation between depth and amplitude responsereveals that the region with high amplitude shows shallowdepth while region with high depth shows low amplitude.
vi
Acknowledgement
iv
Abstract v
Table of content
vi
List of figures
viii
CHAPTER ONE; INTRODUCTION
1.1 Back ground of the Study
1
1.2 Geophysics and Geophysical Survey
2
1.3 Aeromagnetic Survey and its application
3
1.4 Location of study area
4
1.5 Source of data
5
1.6 Statement of Problems
6
viii
1.7 Aim and Objectives
6
1.8 Justification of study
7
CHAPTER TWO; LITERATURE REVIEW
2.1 Geology of the Study area
8
2.2 Review of Geological Work in the Lower Benue Trough
9
2.3 Review of Geophysical works in the Lower Benue Trough
10
CHAPTER THREE; MATERIALS AND METHOD
3.0 Method of Study
13
3.1 Data Acquisition
14
3.2 Data Analysis
14
ix
3.2.1 Production of Total Magnetic Intensity
14
3.2.2 Fourier Filtering of magnetic data
14
3.2.3 Reduction to pole
16
3.2.4 Reduction to Equator
20
3.2.5 First Vertical Derivatives (1VD)
20
3.2.6 Horizontal Derivatives (DX,DY and DZ)
21
3.3 Depth Analysis
22
3.3.1 Analytical signal
22
3.3.2 Source Parameter Imaging (SPI)
24
CHAPTER FOUR; RESULT AND DISCUSSION
x
4.1 TMI map of Study Area
28
4.2 TMI Reduced to Equator (RTE)
28
4.3 Horizontal Derivatives
29
4.4 First Vertical Derivative
29
4.5 Analytical Signal
30
4.6 Source Parameter Imaging
4.7 Correlation of Results from Analytical Signal and SPI
CHAPTER FIVE; CONCLUSION AND RECOMMENDATION
5.1 Conclusion 40
5.2 Recommendation
41
REFERENCE 42
LIST OF FIGURES
xi
Chapter 1; Figure 1.0: Showing the main division of the Earth
33
Chapter 2; Figure 2.1 Geological map of the study area
34
Chapter 4; Figure 4.1 TMI map of study Area
36
Chapter 4; Figure 4.2 Reduced to Equator
37
Chapter 4; Figure 4.3 Horizontal derivative DX
38
Chapter 4; Figure 4.4 Horizontal derivative DY
39
Chapter 4; Figure 4.5 First vertical derivative (1VD)
40
Chapter 4; Figure 4.6 Analytical signal
41
Chapter 4; Figure 4.7 Source Parameter Imaging
42
Chapter 4; Figure 4.8 Showing profile lines on the Analytical
Signal result 43
Chapter 4; Figure 4.9 Showing profile lines on the SPI result
44xii
Chapter 4; Figure 4.10 Grid analysis of profile one
45
Chapter 4; Figure 4.11 Grid analysis of profile two
45
Chapter 4; Figure 4.12 Grid analysis of profile three
46
Chapter 4; Figure 4.13 Grid analysis of profile four
46
Chapter 4; Figure 4.14 Grid analysis of profile five
47
Chapter 4; Figure 4.15 Grid analysis of profile six
47
xiii
CHAPTER ONE
INTRODUCTION
1.1 Background of Study
Based on geomagnetism, the earth may be considered as made up of
three parts: core, mantle and crust (figure 1). Convection
processes in the liquid part of the iron core give rise to a
dipolar geomagnetic field that resembles that of a large bar-
magnet aligned approximately along the earth's axis of rotation.
The mantle has little effect on earth's magnetism, while
interaction of the geomagnetic field with the rocks of the
Earth's crust produces the magnetic anomalies recorded in
detailed surveys carried out close to the earth's surface (Reeves
2005). Thus an anomaly is created when the earth’s magnetic field
is disturbed by an object that can be magnetized. Survey data is
interpreted based on the assumption that magnetic sources must
lie below the base of the sedimentary sequence. This allows rapid
identification of hidden sedimentary basins in mineral
exploration. The thickness of the sedimentary sequence may be
mapped by systematically determining the depths of the magnetic
1
sources over the survey area. Depths to the magnetic basement are
very useful in basin modeling such as determination of source
rock volume and source rock burial depth. The identification and
mapping of geometry, scale and nature of basement structures is
critical in understanding the influence of basement during rift
development, basin evolution and subsequent basin inversion.
From regional aeromagnetic data sets, information such as
tectonic frame of the upper crust can be obtained. The patterns
and amplitude of anomalies reflect the depth and magnetic
character of crystalline basement, the distribution and volume of
intrusive and extrusive volcanic rocks and the nature of
boundaries between magnetic terrains.
1.2 Geophysics and Geophysical survey
Geophysics is defined as the physics of the earth and its
surrounding atmosphere. That is to say, that geophysics has to do
with all aspects of the physics of the earth, atmosphere and one
might add today-space. The subject of geophysics includes
seismology, thermal properties of the earth, meteorology,
atmospheric electricity or ionosphere physics, terrestrial
magnetism etc. The aim of pure geophysics is to deduce the2
physical properties of the earth and its internal constitution
from the physical phenomena associated with it, for instance the
geomagnetic field, the heat flow, the propagation of seismic
waves, the force of gravity etc.
On the other hand, the objective of applied geophysics is to
investigate specific, relatively small scale and shallow
features, which are presumed to exist within the earth crust.
Among such features may be synclines and anticlines, geological
faults, salt domes, undulation of the crystalline bedrocks under
a cover of moraine, ore bodies, clay deposits etc. The
investigation of such features very often has a bearing on
practical problems of oil prospecting, location of water- bearing
strata, mineral exploration, highway construction and civil
engineering. The application of physics, in combination with
geological information is the most or only satisfactory way
towards a solution to these problems.
The various geophysical techniques for gathering information
about subsurface features all depend in one way or another, on
differences in electric, magnetic, or elastic properties of rocks
and sediments. The techniques may be classified as passive or
3
active. In the passive category, exiting force fields are
measured directly without instrumentally generated signals, and
the results are interpreted in terms of subsurface features
perturbing the field, Magnetic, thermal and gravity measurements
fall in this category. In the active category, instrumentally
generated signals pass through the subsurface and are then
detected and recorded, seismic technique, electromagnetic
techniques, earth resistivity measurements and ground-penetrating
radar are all active devices.
1.3 Aeromagnetic Survey and its Applications
Aeromagnetic survey is one of the common types of geophysical
survey carried out using a magnetometer aboard or towed behind an
aircraft. The principle is similar to a magnetic survey carried
out with a hand-held magnetometer, but allows much larger areas
of the earth’s surface to be covered quickly for regional
reconnaissance. The aircraft typically flies in grid-like pattern
with height and line spacing determining the resolution of the
data (and survey of the cost per unit area).
4
As the aircraft flies, the magnetometer records tiny variations
in the intensity of the ambient magnetic field due to the
temporal effects of the constantly varying solar wind and spatial
variations in the earth’s magnetic field, the latter being due to
both the regional magnetic fields and the local effect of
magnetic minerals in the earth’s crust. By subtracting the solar
and regional effect, the resulting aeromagnetic map shows the
spatial distribution and relates abundance of minerals (most
commonly the iron oxide mineral magnetite) in the upper levels of
the crust. Because different rock types differ in their content
of magnetic minerals, the magnetic map allows a visualization of
the geological structure of the upper crust in the subsurface,
particularly the spatial geometry of bodies of rock and the
presence of faults and folds. Aeromagnetic data is more commonly
expressed as collared and shaded computer generated. From
regional aeromagnetic data sets, information such as tectonic
frame of the upper crust can be obtained. The patterns and
amplitude of anomalies reflect the depth and magnetic character
of crystalline basement, the distribution and volume of intrusive
and extrusive volcanic rocks and the nature of boundaries between
5
magnetic terrains. The application of aeromagnetic survey is as
follows (Adetona and Abu 2005).
i. Direct detection of deposits of certain iron ores.
ii. In oil exploration, aeromagnetic data can give
information from which the depths to basement rocks can
be determined and thus locate and define the extent of
sedimentary basins. Sedimentary rocks however exert such
a small magnetic effect compared with igneous rocks that
virtually all variations in magnetic intensity
measurable at the surface result from topographic or
lithologic changes associated with the basement or from
igneous intrusions.
iii. Recognition and interpretation of faulting, shearing,
and fracturing not only as potential hosts for a variety
of minerals, but also an indirect guide to epigenetic,
stress related mineralization in the surrounding rocks.
iv. Identification and delineation of post-tectonic
intrusive. Typical of such targets are zoned syenite or
6
carbonatite complexes, kinerlites, tin-bearing granites,
and mafic intrusions
1.4 LOCATION OF THE STUDY AREA
The area covered by the aeromagnetic survey described in this
thesis is located at the extreme northeastern end of the Lower
Benue Trough with transition into the Middle Benue Trough called
Gboko (Sheet 271). The area lies between latitude 830N and 900N
and between 700E and 730E. The area has been given less
attention with regards to geological studies than the other parts
of the Lower Benue Trough or the Middle Benue Trough. Figure 2
shows the map Nigeria showing the location of the study area.
7
Figure 1.1: Map of Nigeria showing the study area (adapted from the Geological and Mineral Map of Nigeria, 2009, Nigerian Geological Survey Agency).
1.5 SOURCE OF DATA
New dataset from Nigerian Geological Survey Agency was used for
this work, it’s from the new high-resolution airborne survey
coverage in Nigeria carried out by Fugro airborne survey at
826,000 line-km of magnetic and radiometric surveys flown at 500
8
Study Area
m line spacing and 80m terrain clearance in 2009. It’s of higher
quality than the 1970s and in digitized form as well. This work
cover only one aeromagnetic map having sheet number 271 (Gboko)
and the maps are on scale of 1:100,000 and half-degree sheets
contoured mostly at 10nT.
1.6 Statement of Problem
In mineral exploration, the structural surface interpreted from
magnetic depth estimates is often the best available
approximation to the true crystalline metamorphic/igneous
basement configuration and estimate of basement depth sedimentary
thickness is a primary exploration risks parameter. Specifically,
the magnetic basement is very relevant in the application of
magnetism to mineral exploration. Nigeria economy is solely
dependent on the crude oil found on the Niger Delta region hence
there is need to identify other possible source of mineral in
other regions.
1.7 AIM AND OBJECTIVE
9
The aim of this work is to determine the depth to the magnetic
rocks within gboko area and locate the position and extent of
magnetic intrusions. The procedures involve in achieving this aim
are as follows:
i. Production of Total Magnetic Intensity (TMI) map of the
study area using MONTAJ software.
ii. Perform vertical derivative of the TMI data to enhance
shallow geological features and horizontal derivative to
identify geology boundaries in the profile data.
iii. Evaluating the horizontal derivative of the field data in x,
y and z directions
iv. Depth evaluation of buried magnetic rocks will be determined
using Analytical Method.
v. Depth evaluation using Source Parameter Imaging.
1.8 JUSTIFICATION OF STUDY
The aeromagnetic data sheet 271 is a product of Nigeria
Geological Survey Agency (NGSA), they undertook an Aeromagnetic
survey and the digitizing of aeromagnetic data in all parts of
Nigeria between the year 2000 and 2009. The previous aeromagnetic
10
data carried out between 1974-1980 was collected at a flight
altitude of 152.4m along N-S and flight lines spaced
approximately 2000m while the recent aeromagnetic data were
collected at a nominal flight altitude of 80m meters and flight
line spacing of 500m. The maps are on a scale of 1:100,000 and
half degree sheets. This project is intended to determine the
depth of magnetic rocks of the study area using this new dataset.
CHAPTER TWO
LITERATURE REVIEW
11
2.1 Geology of the Study Area
The study area lies in the Lower Benue trough which is a linear
depression filled with up to 6km of Cretaceous (Albian-
Maastrichtian) sediments. The earlier (Albian-Santonian)
sediments in the trough are mainly marine in character and their
deposition was terminated by an episode of deformation in the
Santonian (Burke et all 1970). Following this deformation, the
marine sediments were eroded and deltaic sediments spread
throughout the trough. Continental facies sedimentation persisted
until the end of the Cretaceous, apart from a short lived but
extensive marine incursion in the Maastrichtian (Burke et al
1970) and (Carter et al 1963). Nwachukwu (1972) has described
evidence for a period of slight deformation in the Cenomanian.
Reviews of the geological history and theories on the origin of
the Benue trough have been presented by (Burke et a1. 1970),
(Olade 1975) and (Wright 1976). The interpretation of the Benue
trough as a rift valley is supported by the recognition of a
positive Bouguer anomaly (Cratchy and Jones 1965), coincident
with the axis of the trough and associated closely with a belt of
brine springs and Cretaceous Pb-Zn and barites mineralisation.12
Burke et a1 drew an analogy between the Benue trough and the Red
Sea and proposed that the Benue trough formed one arm of a
Cretaceous RRR triple junction which subsequently failed to
develop while the other two arms gave rise ultimately to the
South Atlantic Ocean (Burke et a1.1970,1971). Grant has presented
a similar model in which the northern coast of the Gulf of Guinea
developed as a transformed fault rather than as a ridge (Grant
1971). The Benue trough is unique among rift valleys in that it
is filled with sediments which have been folded along axes
parallel to its length (Burke et al 1970). The folds are
generally large but with dips rarely exceeding 300. Burke et a1
explain this folding by postulating that the Benue trough
underwent active sea-floor spreading during the early Cretaceous
and that the new oceanic crust was subsequently consumed by
subduction during the Santonian. The resulting "orogeny" was
responsible for the observed folding. They cite as evidence for
this subduction episode the discovery of "more than 1300 m of
andesitic and basaltic lavasand tuffs" of about Santonian age in
boreholes sunk into the Niger delta (Burke et a1. 1971). Volcanic
rocks underlie the earliest Albian sediments in the core of the
13
Abakaliki anticlinorium in the lower Benue valley (Uzuakpunwa
1974). Olade (1978) has suggested that these volcanic rocks are
of alkaline affinities and were erupted during the early
development of the Benue rift. The geology of the study area is
shown in figure 2.0.
2.2 Review of Geological Work in the Lower Benue Trough
The geology of the Lower Benue Trough has been documented through
the tectono sedimentary studies of Murat(1972), Nwachukwu (1972),
Olade (1975) and Agagu and Adighije (1983). Reyment (1965),
Reyment and Mörner (1977) and Zaborski (2000) described the
transgressive and regressive cycles related to marine
sedimentation in the area. The tectonic evolution study of
Nwachukwu (1972) in terms of marine transgression and regression
reveals some stages of succession which are the Albian
transgression followed by the cenomanian regression and turonian
transgression. During the albien transgression, the gboko
formation, Akpagher Formation, Ikumbur Limestone and Mayange
Limestone were deposited, this was caused by the Tectonic
subsidence and South Atlantic sea-level rise (Najime 2011). The
transgression was followed by a regressive phase (Middle14
Cenomanian) during which the Gbemacha Sandstone were deposited in
the northern part of the area and the Nienga Sandstone in the
southeastern part (Najime 2011). The regressive phase was
followed by a second transgressive phase (Late Cenomanian to
Turonian) when the Ezeaku Formation was deposited in the
southwestern part of the area (Najime 2011). During the same
interval, the Makurdi Formation was deposited in its northern
part, the Tse-Agberagba Sandstone in the mid-southern part and to
the east the Lessel Sandstone was deposited. The third marine
transgression in the area (Late Turonian to Coniacian) deposited
the Awgu Shale in the western part (Najime 2011). The Asu River
Group sediments comprises predominantly of shales with localized
sandstones, siltstones and limestones (olade 1975) as well as
extrusive and intrusive material (Reyment 1965; Murat 1972;
Nwachukwu 1972 and Tijani et al 1997) of the Abakaliki Formation
in the Abakaliki area and the Mfamosing Limestone in the Calabar
Flank . In addition, Akande described the Asu River Group as
consisting of arkosic sandstones, volcaniclastics, marine shales,
siltstones and limestone which overly the Pre-Cambrian to Lower
Paleozoic crystalline basement rocks (Akande et al 2011). The Asu
15
River Group is interpreted as sediments of the first
transgressive cycle into the Lower Benue Trough. The marine
Cenomanian – Turonian Nkalagu Formation (black shales, limestones
and siltsones) and the inter fingering regressive sandstones of
the Agala and Agbani Formations (Cross River Group) rest on the
Asu River Group. During the Late Albian, sequence of sandstones,
limestones and shales with calcareous sandstones of Odukpani
Formation were deposited unconformable on the Basement rocks in
the Calabar Flank. Nwajide (1985) and Hoque (1984) described the
Makurdi formation which includes ezeaku formation as consisting
fluvial sandstone and mud rocks with a middle carbonate-bearing
wadatta member. Makurdi formations possess the clays and fine to
coarse grained sandstone overlying the Gbemcha sandstone in Gboko
area. The geological map of Gboko is shown in figure 2
2.3 Review of Geophysical works in the Lower Benue Trough
Many workers and researchers have focused a lot of attention on
the trough. These are aimed at depicting the nature and
characteristics of the structure. The earliest studies in the
Benue Trough were mainly aimed at exploring its origin and
tectonic evolution. However, the earliest geophysical16
investigations in the Lower Benue Trough were mainly centered on
the measurement and rather qualitative study of its gravity
field. Nkwonta and Kene (2005) employed various graphical methods
of aeromagnetic interpretation to determine the depth to the
buried magnetic anomalous structures in the Lower Benue trough.
They discovered that the depth to the top of the structure lies
between 0.55 and 9.20 km. They inferred that the magnetic
anomalies over parts of the trough could be explained by the
existence of the intrusive bodies and elevation of crystalline
basement. Ugboh and okeke studies of akataka and environs of the
lower benue trough reveals low Bouguer gravity anomalies with
magnitudes ranging from –2.5 to 3.8 mgals and with abrupt changes
at intervals thereby suggesting a fault, deposit of salt was also
suspected to be buried between depth of 868 and 2618m, the low
Bouguer gravity anomaly over the area suggests a zone of basic to
intermediate igneous intrusions, deep basement and crustal
thinning (Ugboh and Okeke 2010). Sedimentation study of Adetona
and Abu using Source Parameter Imaging method shows that the
maximum depth estimate is approximately 10 kilometers and a
minimum depth of 76.983 meters. Thus Results from Source
17
Parameter Imaging gives maximum thickness of sedimentation of
9.847 km, which also occur within Idah, Ankpa, and Udegi axis
(Adetona and Abu 2013). Nwugha et al uses peter’s maximum slope
method to obtained maximum depths of 6.72±0.58km between Oturkpa
and Ogbadibu town and 1.09km ±0.58km for minimum depths which
gives a sedimentary thickness of 5.63±0.58km along oturkpa and
ogbadibu axis, they also explained that the sequence of closed
lows east Oturkpa is due to largest part of an irregular
metamorphic basement that has been occupied with sediments or
faulted metamorphic occupied with sediments, fault was discovered
around Ogbadibu and Imane as well as Oturkpo area with signs of
discontinuous lineation and circular to cylindrical anomalies
( Nwugha et al 2012).
The result obtained from interpretation of aeromagnetic anomalies
over some parts of lower Benue trough by David and marius (2013)
reveals that there are two –layered source model i.e. the deeper
magnetic source whose depth vary between 1.6km and 6.13km with
the means value depth of 3.03km which representing magnetic
basement surface and the depth to the shallower magnetic source
vary from 0.06km and 0.37km with the mean value depth of 0.22km
18
indicate the present of magnetic intrusive bodies within the
basement (David and marius 2013)
CHAPTER 3
MATERIALS AND METHODS
3.1 Method of Study19
The Total Field map of Gboko (Sheet 271) was acquired. The
geomagnetic gradient was then removed from the map using the
International Geomagnetic Reference Field (IGRF) of 32000nT.
This research work, made use of OASIS MONTAJ software in the
production of the total magnetic field intensity (TMI) map which
was further subjected to different methods of filtrations to
enhance the map and define the features that were difficult to
detect before the filtering process. The filtering steps used are
i. The Total Magnetic Field map was reduced to equator in
other to remove the dependency of the magnetic field on the
angle of inclination.
ii. Performing vertical derivative of the resulting map to
enhance shallow geological features and horizontal
derivative in both x and y directions to identify
geological boundaries in the profile map.
Two methods of depth analysis were employed in this research work
which also involves the use of OASIS MONTAJ software and visual
interpretations. They are
20
i. Analytical signal method which measures the amplitude
response using the results from the horizontal derivatives
in x, y and z directions.
ii. Source Parameter Imaging method which uses the first and
second order derivatives of the Analytical signal to compute
depth response of an anomaly.
The detailed procedures and theories used for this research work
are as follows
3.1 Acquisition of Data
The aeromagnetic map used in this study was acquired from The
Nigerian Geological Survey Agency. The recent aeromagnetic data
acquisition and compilation was done by Fugro Airborne Surveys,
carried out between 2003 and 2010 which covers the entire land
mass of Nigeria. To achieve this, the Nigerian landmass was
divided into blocks. The magnetic data were collected at a normal
flight altitude of 100m along N-S and flight lines spacing of
100m at a speed approximately 2km apart. The data were then
published in the form of half degree by half degree (½˚ by ½˚)
21
aeromagnetic map on a scale of 1:100,000. The magnetic values
were plotted at 10nt (gamma) interval.
3.2 DATA ANALYSIS
3.2.1 Production of TMI map
TMI map was produced using computer software package called Oasis
mortaj with assistance from the project supervisor. The software
is an interactive computer program which places magnetic data
according to their longitude and latitude bearing and gives a
magnetic intensity map which is in colour aggregate
3.2.2 Fourier Filtering of the magnetic data
Magnetic data filtration is an important process that must be
carried out for analysis and interpretation. The objective of the
filter is to condition the data set and to render the resulting
presentation in such a way as to make it is easier to interpret
the significance of anomalies in terms of their geological
sources (Dale Bird, 1997). Therefore, the most effective way to
filter the data is with an understanding of the geologic control
and the desired filtered results. Several filtering techniques
22
can be performed in the frequency domain. However, in this study,
Fourier filtering method is used.
Generally, Fourier filters fall within one of the following
groups:
1. Sharpening filter that enhances the shorter wavelength
features in the data. These include high-pass filters,
downward continuations and vertical and horizontal
derivatives. Such filters are normally used to enhance
information from shallow geologic features.
2. Smoothing filters that enhance longer wavelength features in
the data, normally by removing or attenuating the shorter
wavelengths features. These include low-pas filters, upward
continuation and integrations. Smoothing filters are
normally used to remove short-wavelength noise in data or to
remove the effects of shallow geologic features.
3. Geophysical transformation that convert data from one
physical form to another. These include reduction to the
pole for magnetic data and the calculation of apparent
magnetic susceptibility apparent density.
23
Smoothing and sharpening filters are often combined to meet the
needs of a specific problem. For example, a vertical derivative
(sharpening filter that enhances near-surface geology) might be
combined with an upward continuation (smoothing filter that
reduces the effect of noise in the data). Filter can further be
described as geophysical filters – those whose outcome has a
geophysical basis or mathematical – those that have a
mathematical definition only. Since geophysical filters are based
on the physics of potential filed, they are ideally suited to
gravity and magnetic data whereas mathematical filters can be
applied to any kind of data.
Examples of geophysical filters are vertical continuations,
vertical derivative or integration, reduction to the pole and
apparent magnetic susceptibility or density. Mathematical filters
include horizontal derivative and the high and low pass filters –
Butterworth, Gaussian, cosine and simple high and low pass cutoff
filters.
In addition to filter, power spectra are often required. The
montaj geophysics system enable us to create a power spectrum of
24
the data and to place the real and imaginary components of the
Fourier transform into channels of the database.
Below are brief description of the theory, algorithm and
analytical processes that facilitate the basic interpretation
help us achieve the objectives itemized above.
3.2.3 Reduction to Pole
The vector nature of magnetic field, the superposition of
multiple magnetic sources and presence of geological and cultural
noises (such as noises due to pipe lines, power lines, railroads
and etc) increases the complexity of anomalies from magnetic
rocks, as a result, the interpretation of magnetic field data at
low magnetic latitude is difficult. Furthermore an observed
anomaly has asymmetric shape whenever magnetization occurs in
anywhere rather than magnetic poles. To harness this problem, the
best approach is to reduce the data to the magnetic pole where
the presumably vertical magnetization vector will simplify
observed anomalies. The aim of Reduction to the Pole is to take
an observed total magnetic field map and reproduce a magnetic map
that would have been observed if the survey had been conducted in
25
the magnetic pole and changes the asymmetric form of observed
anomalies to the symmetric form. This reduces the complexity of
the observed anomalies. Data observed in low latitudes require
some special treatment of North-South features due to high
amplitude corrections needed for these features. Assuming induced
magnetization of all magnetic sources, pole reduction can be
calculated in the frequency domain using the following operator
(Grant and Dodds, 1972):
L(θ) = 1
[sin (I )+icos (I)cos (D−θ) ]2
(3.1)
Where:
θ is the wave number direction
I is the magnetic inclination
D is the magnetic declination.
The amplitude component is represented by the sin (I) term while
the phase component is given by the icos (I) cos (D – 0 ) term.
26
However, implementation of this method in the frequency domain
causes some problems; It is unstable in low latitude, for body
with unknown remanent magnetization it gives incorrect results,
induces synthetic noise to the data and lastly, frequency domain
implementation of this technique, demands that the inclination
and declination values should be fixed entire the survey area.
From (1), it can be seen that as I approaches 0 (the magnetic
equator) and (D-θ) approaches π /2 (a North – South feature), the
operator approaches infinity (Mendonca and Silver, 1993).This
effect as illustrated by figure 3.1, compares the magnetic
anomalies over an East-West and North-South vertically dipping
dyke-like body.
27
Figure 3.1: The shape of total magnetic field profiles over
a vertically dipping dyke-like body
For the East-West striking dyke, the amplitude remains constant
while the phase changes(shape). For the North-South striking
dyke, the anomaly shape remains the same at all latitudes but the
amplitude varies for different latitude. Reduction to pole
28
West-to-East profile
South-to-North profile
involves correcting the shape of East-west features and
correcting the amplitude of North-South features to produce the
same profile as would be observed at an inclination of 90°.
At low attitude, the amplitude disappears, thus amplitude must be
corrected. In the process of correcting the amplitude of this
North-South feature, noise component and magnetic effects from
bodies magnetized in the directions different from the induced
field will be amplified. Many authors have addressed the noise
problem of which the simplest and most effective technique is
that developed by Fraser Grant and Jack Dodds.
Grant and Dodds (1972) addressed this problem by introducing a
second inclination (I’) that is used to control the amplitude of
the filter near the equator:
L(θ) = 1
[sin (I’)+icos (I)cos (D−θ) ]2
(3.2)
Where I’ is inclination for amplitude correction
In practice, (I’) is set to an inclination greater than the true
inclination of the magnetic field. Anomaly shapes will be
29
properly reduced to the pole by using the true inclination (I) in
the complex term of equation (3.2). But by setting I’ ¿ I,
unreasonably large amplitude corrections are avoided. Controlling
the operator now becomes a matter of choosing the smallest I’
that will give the acceptable results.
Although the amplitude correction of the reduction to pole can be
easily corrected using equation (3.2), it is only valid for
induced magnetized bodies and remains invalid for remanently
magnetized bodies. It would be preferable to produce a result
that simply provides a measure of the amount of magnetization
regardless of direction.
3.2.4 Reduction to Magnetic Equator
Reduction to the equator is used in low magnetic latitudes to
centre the peaks of magnetic anomalies over their sources. This
can make the data easier to interpret while not losing any
geophysical meaning. Reducing the data to the equator (RTE) does
much the same thing, but at low latitudes, a separate amplitude
30
correction is usually required to prevent North-South signal in
the data from dominating the results.To reduce magnetic data to
equator we apply the equation,
L(θ)=[sin(I)−i.cos(I).cos(D−θ)]2X (−cos2 (D−θ ))
[sin2 (Ia)+cos2 (Ia ).cos2 (D−θ ) ]X [sin2 (I)+cos2 (I ).cos2 (D−θ )],if(|Ia|)<(|I|),Ia=I
(3.3)
Where
I = geomagnetic inclination
Ia = inclination for amplitude correction
D = geomagnetic declination
Sin (I) is the amplitude component while icos(I)cos(D-θ) is the
phase component
This is a method of removing the dependence of magnetic data on
the angle of magnetic inclination. This filter converts data
which have been recorded in the inclined earth’s magnetic field
at the equator to what the data would look like if magnetic field
had been vertical.
31
3.2.5 FIRST VERTICAL DERIVATIVE (1VD)
Spatial resolution can also be achieved using the vertical
derivative filter. The first vertical derivative filter computes
the vertical rate change in the magnetic field. A first
derivative tends to sharpen the edges of anomalies and enhance
shallow features. The vertical derivative map is much more
responsive to local influence than to broad or regional effect
and therefore tends to give sharper picture than the map of the
total field.
Vertical derivative
L(r )=rn (3.4)
Where n is the order of differentiation. And r is the wave number
(radians/ground unit) Note: r = 2πk where k is cycles/ground
unit. Ground unit is the survey ground units used in the grid
(eg. meter, feet etc.).The vertical derivative is commonly
applied to total magnetic field data to enhance the shallowest
geologic sources in the data. As with other filters that enhance
32
the high-wave number components of the spectrum, low-pass filters
is apply to remove high-wave number noise.
3.2.6 Horizontal Derivatives
The vertical derivative tends to sharpen the edge of anomalies
and enhance shallow features. the resultant map is much more
responsive to local influence than to bread or regional deep
seated anomalies.
Derivative in the X direction is given by the algorithm,
L(μ)=(μii)n 3.5
n is the order of differentiation, and µ represents the X
component of the wavenumber and ii = .
While the horizontal derivative in the Y direction is given by
L(V)=(Vi)n (3.6i)
Where n is the order of differentiation V represents the Y
component of the wavenumber and
33
i = ∂f∂x
(3.6ii)
Total horizontal derivative is a good edge detector because it
computes the maxima over the edges of the structures.
Total Horizontal derivative is given as;
THDR =√[∂T∂x ]
2+[∂T∂y ]
2 (3.7)
The horizontal gradient method measures the rate of change in
magnetic susceptibility in the x and y directions and produces a
resultant grid. The gradients are all positive making this
derivative easy to map.
3.3 Depth analysis
Two methods have been employed for the analysis of depth to
basement rocks within the study area, these are analytical method
and Parameter Imaging (SPI), and these two are briefly discussed.
3.3.1 Analytical signal
34
The analytical method gives the amplitude response of an anomaly.
This filter applied to magnetic data is aimed at simplifying the
fact that magnetic bodies usually have positive and negative peak
associated with it, which may make it difficult to determine the
exact location of causative body. For two dimensional bodies a
bell shaped symmetrical function is derived and for a three
dimensional bodies the function is amplified of analytical
signal. This function and it derivatives are independent of
strike, dip, magnetic declination, inclination and remanent
magnetization (Debeglia and Corpel 1997).
The analytic signal or total gradient is formed through the
combination of the horizontal and vertical gradients of the
magnetic anomaly. The analytic signal has a form over causative
body that depends on the locations of the body (horizontal
coordinate and depth) but not on its magnetization direction.
This quantity is defined as a complex function that its real
component is horizontal gradient and its imaginary component is
vertical gradient. Nabighian, (1972,1984) was able to prove that
the imaginary component is Hilbert transform of real component.
35
Consider M(x, z) be 2-D Magnetic field that measured along x-
axis, then the analytical signal, a(x,z) can be expressed in
terms of vertical and horizontal gradient of M(x, z) with respect
to x and z direction in Cartesian coordinate as followed
(Blakely, 1995)
a(x,z)= ∂M∂x+i ∂M∂z 3.8
where ∂M∂x and ∂M∂z are Hilbert transform pair. The amplitude for
the 2D signal is giving by
|A(x,z)| = √(∂M∂x )²+(∂M∂z)² 3.9For the 3-D case, the analytic signal is given by
a(x,z)= ∂M∂x+∂M∂y
+i ∂M∂z 3.10
The amplitude of the analytic signal in the 3-D case given by:
|A(x,z)| = √(∂M∂x )²+(∂M∂y )²+(∂M∂z )² 3.11
36
Where M = magnetic field
The analytical signal can be calculated with commonly available
computer software. The x and y derivatives can be calculated
directly from total magnetic field grid using a simple 3×3
filter, and the vertical gradient is routinely calculated using
FFT techniques.
Some of the properties of the analytic signal are
i. Its absolute value is symmetric it is independent to body
magnetization direction and ambient geomagnetic field and
only is relevant to body location.
ii. This quantity can be employed to causative body depth
estimation.
iii. Its maximum value lies over body directly
3.3.2 Source Parameter Imaging
The source parameter imaging method uses the local wave number
from an analytical signal to calculate depth to magnetic rocks.
The SPI function is a quick, easy, and powerful method for
calculating the depth of magnetic sources. SPI has the advantage
of producing a more complete set of coherent solution points and37
it is easier to use. The resulting images of SPI method can be
easily interpreted by someone who is an expert in the local
geology (Thurston and Smith, 1997). (Thurston and Smith, 1997)
estimates the depth from the local wave number of the analytical
signal.
The analytical signal A(x, z) is defined by Nabighian (1972) as:
A(x,z) = ∂M(x,z)∂x
−j ∂M(x,z)∂z
(3.12)
where M(x, z) is the magnitude of the anomalous total magnetic
field, j is the imaginary number, z and x are Cartesian
coordinates for the vertical direction and the horizontal
direction respectively. Nabighian (1972) showed that the
horizontal and vertical derivatives comprising the real and
imaginary parts of the 2D analytical signal are Hilbert
transformation pair
∂M(x,z)∂x
⇔ ∂M(x,z)∂z
(3.13)
38
Where ⇔ denotes a Hilbert transformation pair.
Thurston and Smith (1997) define the local wave number k (in
radian per ground unit) for this analytical signal to be
K= 2πf0
(3.14)
and
f0 = 12π
∂∂x
tan¯¹[ ∂M(x,Z)∂z
∂M(x,z)∂x ]
(3.15)
where f0 is cycles/ground unit and K is the wave number in radian
per ground unit.
K= ∂∂x
tan¯¹[ ∂M(x,Z)∂z
∂M(x,z)∂x ]
(3.16)
39
Nabighian (1972) gives the expression for the vertical and
horizontal gradient of a sloping contact model as
∂M(x,z)∂z
=2χMcsinβ·xcos(2I−β−90°)-hsin(2I-β-90°)
h²+x²
(3.17)
∂M(x,z)∂x
=2χMcsinβ·hcos(2I−β−90°)-xsin(2I-β-90°)
h²+x²
(3.18)
Where χ is the susceptibility contrast at the contact, M is the
magnitude of the earth’s magnetic field (the inducing field), c =
1-cos²isin²α, α is the angle between the positive x-axis and
magnetic north, i is the ambient-field inclination, tan I =
sini/cos8, β is the dip (measured from the positive x-axis), h is
the depth to the top of the contact and all trigonometric
arguments are in degrees. The coordinate system has been defined
40
such that the origin of the profile line (x = 0) is directly over
the edge.
Substituting equations 3.17 and 3.18 into 3.16 gives the wave
number for a contact profile as
Kmax = 1h
(3.19)
Depth(h)= 1
Kmax
(3.20)
K is wave number of the analytical signal
h is depth to the point of contact
using the concept of Hsu et al. (1996) for an analytic signal
comprising second-order derivatives of the total field, a second
wave number can also be generated.
From equation (3.19), it is evidently that wave number is
independent of susceptibility contrast, the dip of the source and
the inclination, declination, and the strength of the earth’s
magnetic field.
41
Equation 3.20 is the basics for SPI method (Adetona and Abu,
2013), it utilizes the relationship between source depth and the
local wavenumber of the observed field, which can be calculated
for any point within a grid of data through horizontal and
vertical gradients (Thurston and Smith, 1997). For vertical
contacts, the peaks of the local wave number define the inverse
of depth. The depth is displayed as an image (in colour
aggregate). Image processing of the source-parameter grids
enhances detail and provides maps that facilitate interpretation
by non specialists (Ojoh, 1992).
42
CHAPTER FOUR
INTERPRETATION OF RESULT
4.1. The Total Magnetic Intensity (TMI) Map of the Study Area and
Filtering Results
The total magnetic intensity map (figure 4.1) was produced with
computer software package (OASIS MONTAJ) used by the supervisor
for this project which is in color aggregate. The magnetic
intensity of the study area ranges from −691.5nT (minimum) to
400.8nT (maximum). Relatively high magnetic intensity was
observed in the central area compare to the rest of the study
area. The area is marked by both high and low magnetic
signatures, which could be attributed to several factors such as
variation in depth, difference in magnetic susceptibility,
difference in lithology, and degree of strike. Subsequent
interpretation under qualitative analysis will reveal more
information of each. The northern and the southern edge of the
study area have low magnetic signatures, which are generally
attributed to sedimentary areas. High magnetic intensity was
recorded at the southeast edge. The south west shows a lot of
activity, as they are dotted by mixtures of both high and low
43
magnetic structures with features that are characteristics of
surface to near surface structures such as outcrops.
4.2 Reduced to Equator
The TMI map was Reduced to Equator (figure 4.2) for the purpose
of removing the dependancy of the magnetic field on the angle of
inclination and as a result, the position and shape of the
anomaly was altered. The anomalies were observed to have been
shifted northward.
4.3 Horizontal Derivatives
The horizontal derivatives reveal contact locations that are
continuous, thin and straight. This map reveals structural
complexity such as faults inside the basement. For this purpose,
the horizontal derivatives were used to determine the locations
of physical property (magnetization) Boundaries. Result from
horizontal derivative DX (figure 4.3), intensifies more of the
structures towards the y-direction while the horizontal
derivative DY (figure 4.4) intensifies the structures towards the
x-direction. Short wave signatures are predominantly seen in the
NW and SE while long wave signatures are mostly found in the SW
and NE of portion the study area.
44
4.4 First vertical derivative
Result from the first vertical derivative,1VD (figure 4.5)
reveals more of the surface structures with short wavelength and
are of high frequency in occurrence. The southeast, northwest and
northeastern edge of the study area shows mixtures of high and
low magnetic susceptibility with features of lineation in value
and trend (black lines) that depicts fault line, fractures or
lithology contact. Long wave signatures are predominant in the
southwest region which reveals that there are deep magnetic
source within the study area typical of a sedimentary basin.
4.5 Results from Analytical method
The Oasis Montaj software uses the result from horizontal and
vertical derivatives to produce the amplitude values of the
observed anomaly (figure 4.6). The amplitude of the anomalies in
the study area ranges from 0.000nT/M to 2.730 nT/M. The map
reveals high amplitude anomalies at the northwest and southeast
portion of the study area while the southwestern region is
predominant with low amplitude anomalies. The northeast region is
mixed with both high and low amplitude anomalies. The high
amplitude anomaly accounts for low susceptibility while the high45
amplitudes accounts for high susceptibility within the study
area.
4.6 Source Parameter Imaging and Results.
.The Source Parameter Imaging (SPI) module from Oasis Montaj
software was applied to the TMI data of the study area; the SPI
statistics show a minimum depth of 95.380 meters and a maximum
depth of 8323.024 meters (figure 4.7). The highest depth can be
found at the southwestern part and relatively scattered around
southeast edge. Northwest and northeast shows relatively low
depth to basement rocks.
4.7 Correlation of results from Analytical Signal and SPI
The Analytical map and SPI map was gridded into six profiles
(figure 4.8 and figure 4.9 respectively). The two maps were
merged together and the six different profiles were drawn across
in such a way that they are perpendicular to the magnetic
structures within the area. The x and y coordinates on both the
SPI and analytical signal maps were obtained and the
corresponding values of depth and amplitude were equally
obtained. The result shows a remarkable contrast between the
46
amplitude response and depth response of an anomaly (figure 4.10
to 4.15).
Figure 4.10 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 1. The analytical
signal graph shows the highest amplitude of 0.045nT/m at latitude
7°1'15'' and longitude 8°41'30'' were a shallow depth to magnetic
source of 166.7m was obtained. The SPI graph shows the maximum
depth to magnetic source on profile 1 as 3.33km which is located
at latitude 7˚41'36'' and longitude 8˚38'24'' and the amplitude
response to this depth was 0.03nT/m.
Figure 4.11 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 2. The analytical
signal graph shows the highest amplitude of 1.07nT/m at latitude
7˚6’24’’ and longitude 8˚46’36’’ were a shallow depth of 0.00m
was obtained on the SPI graph. The maximum depth on the SPI graph
was observed to be approximately 5.7km located at latitude
7˚1’48’’ and longitude 8˚55’ were an amplitude response of
0.00nT/m was obtained.
47
Figure 4.12 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 3. The analytical
signal graph shows the highest amplitude of 0.7nT/m at latitude
7˚10’36’’ and longitude 8˚52’36’’ were a shallow depth of 166.7m
was obtained on the SPI graph. The maximum depth on the SPI graph
was observed to be approximately 2.33km located at latitude 7˚18'
and longitude 8˚41'12'' were an amplitude response of 0.00nT/m
was obtained.
Figure 4.13 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 4. The analytical
signal graph shows the highest amplitude of 0.533nT/m at latitude
7˚29’24’’ and longitude 8˚56’ were a shallow depth of 100m was
obtained on the SPI graph. The maximum depth on the SPI graph was
observed to be approximately 1.5km located at latitude 7˚23’36’’
and longitude 8˚56’ were an amplitude response of 0.00nT/m was
obtained.
Figure 4.14 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 5. The analytical
signal graph shows the highest amplitude of 0.233nT/m at latitude
7˚28’48’’ and longitude 8˚58’36’’ were a shallow depth of 66.7m
48
was obtained on the SPI graph. The maximum depth on the SPI graph
was observed to be approximately 1.2km located at latitude
7˚27’36’’ and longitude 8˚50'24'' were an amplitude response of
0.00nT/m was obtained.
Figure 4.15 is the amplitude response from analytical signal and
depth values from SPI obtained along profile 6. The analytical
signal graph shows the highest amplitude of 0.375nT/m at latitude
7˚28’36’’ and longitude 8˚58’36’’ were a shallow depth of 0.00m
was obtained on the SPI graph. The maximum depth on the SPI graph
was observed to be approximately 4km located at latitude 7˚6’36’’
and longitude 8˚36’ were an amplitude response of 0.00nT/m was
obtained.
CHAPTER FIVE
CONCLUSION AND RECOMMENDATION
5.0 CONCLUSION
The Total magnetic intensity (TMI) data over Gboko area was
interpreted using Horizontal derivative, first vertical49
derivative (1VD), analytical signal and source parameter imaging
(SPI) for the purpose of geophysical interpretation of the buried
anomalies. From the results of our analysis in chapter 4 the
following conclusion can be arrived.
Result from the Horizontal derivative helps us to
identify regions of outcrops which signified by short
wavelength (high frequency) magnetic signatures. The
first vertical derivative helps to place our lineament
(in black lines) within the area they were discovered.
Which are lower mid portion, Northwest(NW) and
Northeast(NE) corner as shown on the map
Result from source parameter imaging (SPI) shows that the
minimum depth across the study area was 95.385meters and
the maximum depth to magnetic rock obtained was
8323meters.
Result from analytical signal shows that the amplitude
ranging from 0.03nT/m to 2.730nT/m represents the
outcrops magnetic rocks. Amplitude response ranging from
0.011nT/m to 0.03nT/m are region with magnetic rocks
50
intruding into sediment while the amplitude ranging from
0.00nT/m to 0.011nT/m are regions of high sedimentation.
Correlation between analytical signal and source
parameter imaging (SPI) reveals that the amplitude of
analytical signal is due to two main factors. The
vertical depth to the source rocks, the relative degree
of susceptibility region with high amplitude yield
shallow depth and region with low amplitude reveals a
reasonably high depth. Exceptional areas observed are
fractures and fault line where there exist a sharp drop
in amplitude response and depth.
5.2 RECOMMENDATION
The correlation between the depth results from SPI and the
amplitude response obtained from Analytical Signal reveals region
of high sedimentation, region of intrusions, regions of outcrops
and region of fault line around the study area. My
recommendations are as follows:
51
i. Building construction should not be carried out around
regions with fractures such as southeast and northwest of
the study area instead borehole drilling is recommended.
ii. Further research should be carried out around regions of
high sedimentation (southwest) as they are good potential
for hydrocarbon.
FIGURES
52
Figure 2: Geology map of the study area (adapted from the
Geological and Mineral Map of Nigeria, 2009, Nigerian Geological
Survey Agency).
54
7°00'
7°30'
9°00'
8°30'
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