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    RESERVOIR ROCK

    PROPERTIES

    RESERVOIR ROCK

    P0ROSITY

    APE-1 APE-2

    LECTURE-0312.08.2014

    http://images.google.co.in/imgres?imgurl=http://www.viweb.freehosting.net/gif/SYK_sarasvati.jpg&imgrefurl=http://www.viweb.freehosting.net/vilit_SYK2.htm&h=458&w=388&sz=52&hl=en&start=294&tbnid=o6hDc1iOz9N2hM:&tbnh=128&tbnw=108&prev=/images?q=broken+and+scattered+necklaces+of+beads&start=280&gbv=2&ndsp=20&hl=en&sa=Nhttps://www.google.co.in/imgres?imgurl=http://www.geus.dk/departments/reservoir-geol/ns_reservoir_kalkplugs.jpg&imgrefurl=http://www.geus.dk/departments/reservoir-geol/res-geo-uk.htm&docid=i4GgO8hKwccjNM&tbnid=hZ3fXZI8oVpopM:&w=400&h=315&ei=acrOUrruMsi3rgf7-YGgBw&ved=0CAIQxiAwAA&iact=c
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    POROSITY

    Storage capacity of medium

    An exclusive rock property

    Expressed in Fraction or %

    Statistical property based on

    the rock volume*.

    Used for resave estimate.

    Effects hydrocarbon recovery

    Part of the total porous rock volume which is

    not occupied by rock grains or fine mud

    rock, acting as cement between grainparticles.

    http://www.google.co.in/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=i4GgO8hKwccjNM&tbnid=hZ3fXZI8oVpopM:&ved=0CAUQjRw&url=http://tle.geoscienceworld.org/content/30/12/1360/F8.expansion.html&ei=lsrOUtSDE8jyrQf6jYDABA&psig=AFQjCNGAy3xyQbdFLh03kOw7MhPLOXk9rg&ust=1389369927009471
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    * If the selected volume is too small the calculated

    porosity can deviate greatly from the true value

    * If the volume is too large the porosity may deviatefrom the real value due to the influence of

    heterogeneity.

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    Physically following types of porosity can be

    distinguished:

    Inter granular porosity.

    Fracture porosity.

    Micro-porosity.

    Vugular porosity. Intra granular porosity.

    Utility wise following types of porosity can be

    distinguished:

    Absolute Porosity Effective Porosity

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    Characteristics of Porous MediaGeometric character of rock

    inter granular intra granular

    fractured.Mechanical properties of rock

    consolidated

    unconsolidatedHeterogeneity

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    Models of Porous Media

    1. Represented by Parallel Cylindrical Pores*

    Idealized Porous Medium

    where r is the pipe radius and mn is the number of cylinders contained in the bulk volume.12.08.2014

    14.08.2014

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    2. Represented by Regular Cubic-Packed Spheres

    where Vm is the "matrix volume or the volume of bulk space

    occupied by the rock.

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    3. Represented by Regular Orthorhombic -Packed Spheres

    Where h is the height of the orthorhombic-packed spheres .

    The matrix volume is unchanged. And thus,

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    4. Represented by Regular Rhombohedral -Packed Spheres

    Where h is the height in the tetrahedron and is given by

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    5. Represented by Irregular - Packed Spheres with

    Different Radii

    Real reservoir rock exhibits a complex structure anda substantial variation in grain sizes as well as their

    packing, which results in variation of porosity and

    other important reservoir properties , often related

    to the heterogeneity of porous medium.

    By drawing a graph with radii of the spheres plotted

    on the horizontal axis and heights equal to the

    corresponding frequencies of their appearance

    plotted on the vertical axis ,one can obtain a

    histogram of distribution of particles (spheres) in

    sizes.

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    EXAMPLE

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    Porosity: relations/presentation

    Porosity = x 100Pore volumeBulk volume

    1

    2

    1

    Pore volume, Bulk volume

    Bulk volume, Grain volume

    Pore volume, Grain volume

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    Utility limits of porosity

    The effective porosity of rocks variesbetween less than 1% to 40%.

    It is often stated that the porosity is:

    (a)Low if < 5%(b)Mediocre if 5% < < 10 %

    (c)Average if 10%< < 20 %

    (d)Good if 20%< < 30 %

    (e)Excellent > 30%

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    Physical Impacts

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    1. Porosity and hydraulic conductivity

    Normally Porosity can be

    proportional to hydraulicconductivity: two similar

    sandy aquifers, the one

    with a higher porosity

    will typically have a

    higher conductivity **Grain size decreases the proportionality between pore throat radii

    and porosity begins to fail and therefore the proportionalitybetween porosity and hydraulic conductivity failsExample: Clays typically have very low hydraulic conductivity (due to their small

    pore throat radii) but also have very high porosities (due to the structured

    nature of clay)which means clays can hold a large volume of water per

    volume of bulk material, but they do not release water rapidlyas they havelow hydraulic conductivity.

    http://en.wikipedia.org/wiki/File:Well_sorted_vs_poorly_sorted_porosity.svg
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    2. Sorting and porosity

    Grains of approximately all one size materials

    have higher porosity than similarly sized poorlysorted materials which drastically reducing

    porosity.

    3. Consolidation of rocks

    Consolidated rocks have more complex porosities

    Rocks have decrease in porosity with age and

    depth of burialThere may be exceptions to this rule, usually

    because of thermal history.

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    1. Primary porosity :The original porosity of the system

    2. Secondary porosity

    A subsequent or separate porosity system

    in a rock, often enhancing overall porosity

    of a rock.

    This can be a result of chemical leaching

    of minerals.This can replace the primary porosity or

    coexist with it (see dual porosity below).

    Types of geologic porosities

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    3. Fracture porosity

    This is porosity associated with a fracture

    system or faulting.4. Vuggy porosity

    This is secondary porosity generated by

    dissolution of large features (such asmacrofossils) in carbonate rocks leaving

    large holes, vugs , or even caves.

    5. Open porosityRefers to the fraction of the total volume in

    which fluid flow is effectively and excludes

    closed pores .

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    6. Closed porosity

    Fraction of the total volume in which fluids

    or gases are present but in which fluid flow

    can not effectively take place and includes

    the closed pores.

    7. Dual porosity

    Refers to the porosity of two overlapping

    reservoirs -fractured rock , leaky aquiferresults in dual porosity systems.

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    8. Macro porosity

    Refers to pores greater than 50 nm* in

    diameter. Flow through macropores isdescribed by bulk diffusion.

    9. Meso porosity

    Refers to pores greater than 2 nm and lessthan 50 nm in diameter. Flow through

    mesopores is described by diffusion.

    10 Micro porosity

    Refers to pores smaller than 2 nm in

    diameter. Movement in micropores is by

    activated diffusion.

    * 1.0 10-7centimetres

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    Measurement of Porosity

    Well LogsCore Analysis

    In situ Surface

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    POROSITY DETERMINATION

    FROM LOGS

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    A wire line truck with a spool of logging

    cable is setup so that the measuring equipmentcan be lowered into the wellbore.

    The logging tools measure different

    properties, such as spontaneous potential andformation resistivity, and the equipment is

    brought to the surface.

    The information is processed by acomputer in the logging vehicle, and is

    interpreted by an Formation engineer or

    geologist.

    The basic setup of logging process

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    Well Log

    SP Resistivity

    OPENHOLE LOG EVALUATION

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    A decrease in radioactivity from thegamma ray log could indicate the

    presence of a sandstone formation.

    An increase in resistivity may indicate

    the presence of hydrocarbons.

    An increase in a porosity log might

    indicate that the formation has porosity

    and is permeable.

    Interpretation

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    Oil sand

    Gamma

    ray

    Resistivity Porosity

    Increasing

    radioactivity

    Increasing

    resistivityIncreasing

    porosity

    Shale

    Shale

    POROSITY DETERMINATION BY LOGGING

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    POROSITY LOG TYPES

    Bulk density

    Sonic (acoustic)

    Compensated neutron

    Formation lithology

    Nature of the Fluid in pores.

    Essential Requirements

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    Density log, the neutron log*,

    and the sonic logs do not

    measure porosity. Rather,

    porosity is calculated frommeasurements such as electron

    density, hydrogen index andsonic travel time.

    * A precallibrated Neutron log directly provides

    limestone porososity in carbonates.

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    CORES

    Allow direct measurement of reservoirproperties

    Used to correlate indirect measurements,

    such as wire line/LWD logs

    Used to test compatibility of injection fluids

    Used to predict borehole stability

    Used to estimate probability of formationfailure and sand production

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    Following equation is used:

    On a sample of generally simple geometric form, two of thethree values Vp, Vsand VTare therefore determined.

    The standard sample (plug) is cylindrical, Its cross sectionmeasures about 4 to 12 cm2and its length is varies between2 to 5 cm.

    The plugs are first washed and dried.The measuring instruments are coupled to microcomputers

    to process the results rapidly.

    ESTIMATING POROSITY FROM

    CORE ANALYSIS

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    A. Measurement of VT

    (a) Measurement of the buoyancy exerted by mercury on the sample

    immersed in it

    APPARATUSThe apparatus has a frame C connected by arod to a float Fimmersed in a beakercontaining mercury.A reference index R is Fixed to the rod. Aplate B is suspended from the plate.

    (a) First measurement: the sample is placedon plate B with a weight P1 to bring R in,incontact with the mercury.(b) Second measurement: the sample isplaced under the hooks of float F, and the

    weight P2 is placed on plate B to bring R in tocontact with the mercury.If Hg is the density of mercury atmeasurement temperature.Then:

    VT

    VT

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    Method:

    Without a sample using the piston,

    mercury is pushed to mark, indicated on the reference valve (V).

    The vernier of the pump is set at zero.With the sample in place, the mercury is again pushed to same

    mark. The vernier of the pump is read and the volume VT is

    obtained.

    The measurement is only valid if mercury does notpenetrate into the pores.

    The accuracy is 0.01 cm3.

    (b) Use of positive

    displacement pump VT

    M

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    (c) Measurement:

    The foregoing methods are unsuitable if the rock

    contains fissures or macro pores, becausemercury will penetrate into them.

    Here a piece of cylindrical cores diameter d

    and height h can be measured using slidingcaliper:

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    B. Measurement of VSMeasurement of the buoyancy exerted on the sample by

    a solvent with which it is saturated. VS by immersion method

    The method is most accurate but difficult

    and time consuming to achieve complete

    saturation.The operations are normally

    standardized.

    The difference between the weights of sample in air (P air)

    and the solvent in which it is immersed (P immersed) gives

    VS as :

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    Regardless of specific apparatus used i.e. singe cell or double

    chamber, the sample is subjected to known initial pressure by

    gas, which was originally at atmospheric pressure.

    The pressure is then changed by varying the volume of gas in

    chamber.

    The variation in volume and pressure are measured by using

    Boyles law.

    P1 V1 = P2 V2The equipments using single cell and double are shown in

    next slide.

    (b)Use of compression chamber and Boyle law

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    1 is chamber for core

    2 is constant volume chamber

    3 is core

    4 & 5 is pressure manometers

    6 is source of gas

    1 is chamber for core

    2 is core

    3 is volume plunger

    4 is pressure gauge

    Use of compression chamber and

    Boyle lawUse of single cell Use of double cell

    1

    2

    3

    4,5

    62

    4

    3

    1

    C D i i f V

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    b. Measurement by weighing a liquid filling the

    effective poresThis liquid is often brine

    c. Measurementby mercury injection

    In this case the mercury never totally invade the

    interconnected pores. Hence the value obtained

    for the parameter is under par.

    a. Measurement of air in the

    poresThe mercury positive displacement pump is used forthis purpose. After measuring VT ,the valve of the

    sample core holder is closed and the air in the

    interconnected pores is expanded. The variation in

    volume and pressure are measured using Boyleslaw

    C. Determination of VP

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    Fluid Summation Method

    The method involves the analysis of a FRESHsample containing water, oil and gas.

    The distribution of these fluids is not thesame as in the reservoir. because the core

    has been invaded by the mud filtrate anddecomposed when pulled out.

    Still/but the sum of the volumes of thesethree fluids, for a unit volume of rock, gives

    the effective porosity of the sample. The total volume is determined by mercury

    displacement pump.

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    (1) VP = Vw + VO + VG

    (1) Sw + SO + SG = 100%

    Special Method :Determination of VP

    Relation of Fluid Summation and porosity

    Sw

    = Vw

    / VP

    SO

    = Vo

    / VP

    SG

    = VG

    / VP

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    ELECTRICAL METHOD

    Formation Resistivity Factor

    Formation Resistivity Factor : is the ratio ofthe resistivity of clean formation(core sample)

    fully saturated with brine to the resistivity

    observed with brine solution of same salinity. i.e.

    F.F. = Ro/ RwWhere

    Ro= Resistivity of clean formation sample fullysaturated with brine of specific salinity,

    Rw= Resistivity of brine of same salinity

    (without core)

    1

    2

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    Formation Resistivity Factor : is also

    related to the POROSITY by Archie

    Equation given as under:

    FF = a/m

    Where

    a = Tortuosity Factor

    (Path Complexity)

    m= Cementation Factor(Grain Size)

    Higher is the value of ahigher is the

    value of m.

    2

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    a

    m

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    Formation

    ResistivityFactor :is also greatly

    effected byover burden

    pressure and

    in turn withPOROSITY.

    3

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    POROSITY AVERAGING

    1

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    If the Bedding planes show large variations in

    porosity vertically then arithmetic average porosity

    The thickness - weighted average porosity is used

    to describe the average reservoir porosity.

    If porosity in one portion of the reservoir to be

    greatly different from that in another area due to

    sedimentation conditions, the areal weighted

    average

    The volume-weighted average porosity is used to

    characterize the average rock porosity.

    1

    3

    4

    2

    MATHEMATICAL EXPRESSIONS

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    averaging techniques are expressedmathematically in the following forms:

    Arithmetic average

    Thickness-weighted average

    Areal-weighted average

    Volumetric-weighted average

    MATHEMATICAL EXPRESSIONS

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    POROSITY APPLICATIONS

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    APPLICATION OF EFFECTIVE POROSITY

    For a reservoir with an areal extent of Aacres and an average thickness of h feet

    Bulk volume = 43,560 Ah, ft3

    OR= 7,758 Ah, bbl

    The reservoir pore volume PV in cubic feet :

    PV = 43,560 Ah, ft3The reservoir pore volume PV in bbl is given as :

    PV = 7,758 Ah, bbl

    b ( )

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    Porosity Distribution (Histogram)

    The multiple sampling of porosity measurements for

    reservoir rocks at different depths and in differentwells gives a data set that can then be plotted as a

    histogram , to reveal the porositys Frequency

    distribution.Such histograms may be constructed separately for

    the individual zones, or units, distinguished within

    the reservoir, and thus give a good basis for

    statistical estimates

    (mean porosity values, standard deviations, etc.).

    A LICA ION

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    APPLICATION

    1. Zone Analysis

    Histogram

    2. Reservoir Simulation

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    Simulation of fluid flow

    in porous media,

    require a realistic

    picture of the rock

    porosity

    The grouping ofporosity data according

    to the reservoir zones,

    depth variation orgraphical co-ordination,

    yield spatial trends.

    2. Reservoir Simulation

    Trends of porosity

    distribution in thedepth profiles of

    two reservoir sand

    stone.

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    Mechanical digenesis

    (compaction)/ chemical

    digenesis (cementation)

    have a profound effect

    on a sedimentary rocksporosity. This burial

    effect is illustrated by

    the two typicalExamples of sand and

    clay deposits,

    3. Sediment compaction

    4 Exploration leads

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    Development of a bulk and realistic

    picture of the reservoir to evaluate -

    Early Reserves Estimates Exploration

    leads Expected Recoveries, well

    treatments , IOR and EORBoundaries of

    Sand ridges are

    shown as separate

    units / porosity

    zones - numberedas zone 1 , zone2,

    zone3 and zone 4,

    indicating their

    areal extent.

    4. Exploration leads

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    REMARKS

    Rock at reservoir conditions is subject to overburden

    pressure stresses, while the core recovered at surfacetends to be stress relived; therefore laboratorydetermined porosity values are generally expected to

    be higher than in-situ values.

    If R represent porosity at reservoir condition, L beporosity at reservoir condition, rock compressibility asCp (V/V/psi) and net overburden pressure as PN ( overburden pressure fluid pressure) psi; then we may

    use the following relation:

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    LECTURE 03 A

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    ENGINEERINGUPES

    DEHRADUN

    LECTURE-03 A

    RESERVOIR

    POROSITYROCK

    EXERCISES

    Example 1

    http://images.google.co.in/imgres?imgurl=http://maxweber.hunter.cuny.edu/pub/eres/EDSPC715_MCINTYRE/sbPuzzled.jpg&imgrefurl=http://maxweber.hunter.cuny.edu/pub/eres/EDSPC715_MCINTYRE/WhyKidsMisBehave.html&h=322&w=349&sz=18&hl=en&start=10&tbnid=H4nLzL-o6TmD1M:&tbnh=111&tbnw=120&prev=/images?q=puzzled&gbv=2&hl=en&sa=Xhttp://images.google.co.in/imgres?imgurl=http://www.viweb.freehosting.net/gif/SYK_sarasvati.jpg&imgrefurl=http://www.viweb.freehosting.net/vilit_SYK2.htm&h=458&w=388&sz=52&hl=en&start=294&tbnid=o6hDc1iOz9N2hM:&tbnh=128&tbnw=108&prev=/images?q=broken+and+scattered+necklaces+of+beads&start=280&gbv=2&ndsp=20&hl=en&sa=N
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    The grain volume of rock sample of

    1.5dia and 5.6 cm length was foundto be 56.24 cc and bulk volume of the

    sample using mercury displacement

    method was measured 73.80 cc.

    If dry weight of the sample is149.88

    gms, find the grain density. Calculatethe pore volume and porosity of the

    sample.

    Example

    1

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    SOLUTION -1

    *Pore volume = Bulk volume-Grain volume=73.8056.24=17,56 cc

    *Porosity,% =(Pore volume/bulk volume) x

    100=(17.56/73.80)X100 = 23.79%

    *Grain density=Dry weight of sample/Grain

    volume= 149.88/56.24

    = 2.665 gms/cc

    Example 2

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    Example-2

    Weight of the dry sample in air is

    20.0gms.

    The weight of the sample when

    saturated with water is 22.5gms.Weight of saturated sample in water

    at 40 degree F is 12.6 gms.Find the Bulk volume.

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    SOLUTION-2

    Weight of the water displaced

    = 22.5- 12.5= 9.9gms

    Volume of water displaced

    =9.9/1= 9.9cc

    Will be the bulk volume of the sample.

    l 3

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    Example-3

    A core sample immersed in water hasits weight in air as 20gms

    Dry sample when coated with paraffin

    weighs 20,9 gms (density of paraffinbeing 0.9gm/cc).

    If weight of the immersed sample in

    water at 40 F be given as 10 gms.

    Find the bulk volume of core sample.

    SOLUTION 3

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    SOLUTION -3

    Weight of the paraffin=20.9-20.0=0.9gms

    Volume of paraffin=0.9/0.9=1cc

    Weight of water displaced=20.9-10.0

    =10.9gmsVolume of water displaced= 10.9/1.0

    =10.9cc

    Therefore bulk volume of rock will be:Volume of water displacedvolume of

    paraffin=10.9-1=9.9cc

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    EXAMPLE- 4

    Determine the total porosity of

    sample when the grain density is

    2.67 gms/cc.Weight of the dry sample in air is 20

    gms.Bulk volume of the sample is 9.9cc

    SOLUTION 4

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    SOLUTION -4

    *Grain volume of the sample

    = Weight of dry sample in

    air/Sand density

    =7.5* Total porosity=

    (Bulk volume-grain volume)/Bulk

    volume X 100=(9.97.5)/ 9.9 X 100

    = 24.2%

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    Example -5

    Calculate the weight of 1 m3 of

    Sand stone of 14% porosity.Given that the sand density is

    2.65 gm/cm3

    SOLUTION 5

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    Volume of sand stone BVs=1m3

    Porosity(PV) =14%

    Density of sand grains=2.65.

    BV= PV + GVGV = BV - PV

    = 1- 0.14 = 0.86 m3

    Ws = Density of sand grains x GV=2.65gm/cm3x 0.86 x 106gm

    =2.279 x 0.86 x 106gm

    SOLUTION-5

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    Example-6

    A petroleum reservoir has an areal

    extent of 20,000 ft2 and a pay

    thickness of 100ft.The reservoir rock

    has a uniform porosity of 35%. Find

    the pore volume of this reservoir

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    Pore volume

    = 7758 Ahbbl.=7758 x 20,000 x 100 x 35/100

    =54306 x 105bbl.

    SOLUTION - 6

    Example 7

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    Example7An oil reservoir exists at its bubble-point

    pressure of 3000 psia and temperature of160F. The oil has an API gravity of 42 and

    gas-oil ratio of 600 scf/STB. The specific

    gravity of the solution gas is 0.65. Thefollowing additional data are also available

    Reservoir area = 640 acres

    Average thickness = 10 ft Connate water saturation = 0.25

    Effective porosity = 15%

    Calculate the initial oil in place in STB.

    SOLUTION - 7

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    SOLUTION 7Step 1. Determine the specific gravity of the

    stock-tank oil as 0.8156

    Step 2. Calculate the initial oil formation volume

    factor as 1.306 bbl /STB

    Step 3. Calculate the pore volume

    = 7758 (640) (10) (0.15) = 7,447,680 bblStep 4. Calculate the initial oil in place Initial oil in

    place = 12,412,800 (1 - 0.25)/1.306 = 4,276,998 STB

    Example 8

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    Example 8

    Calculate the arithmetic average and

    thickness-weighted average from thefollowing measurements

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    Solution -8

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    Porosity = void volume soil volume

    Porosity = 0.3 cubic meters 1.0 cubic meters

    Porosity = 0.3

    LECTURE-03 B

    http://images.google.co.in/imgres?imgurl=http://maxweber.hunter.cuny.edu/pub/eres/EDSPC715_MCINTYRE/sbPuzzled.jpg&imgrefurl=http://maxweber.hunter.cuny.edu/pub/eres/EDSPC715_MCINTYRE/WhyKidsMisBehave.html&h=322&w=349&sz=18&hl=en&start=10&tbnid=H4nLzL-o6TmD1M:&tbnh=111&tbnw=120&prev=/images?q=puzzled&gbv=2&hl=en&sa=X
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    ROCKPOROSITY

    DENSITY LOGS1

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    DENSITY LOGS

    Radioactive source is used to generategamma rays

    Gamma ray collides with electrons information, losing energy

    Detector measures intensity of back-

    scattered gamma rays, which isrelated to electron density of theformation

    1

    Electron density is a measure of

    bulk density

    DENSITY LOG

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    GRAPI0 200

    CALIXIN6 16

    CALIY

    IN6 16

    RHOBG/C32 3

    DRHOG/C3-0.25 0.25

    4100

    4200

    DENSITY LOG

    Caliper

    Density

    correction

    Gamma ray Density

    DENSITY OGS PRINCIP E

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    DENSITY LOGS: PRINCIPLE

    Bulk density, b, is dependent upon:Lithology

    Porosity

    Density and saturation*of fluids in

    pores

    * Saturation is fraction of pore

    volume occupied by a particular

    fluid

    BULK DENSITY

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    BULK DENSITY

    Bulk density varies with lithology

    Sandstone 2.65 g/cc

    Limestone 2.71 g/cc

    Dolomite 2.87 g/cc

    fmab

    1

    MatrixFluids in

    flushed zone

    POROSITY FROM DENSITY LOG

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    POROSITY FROM DENSITY LOG

    Porosity equation

    xohxomff S1S

    fma

    bma

    Fluid density equation

    mf is the mud filtrate density, g/cc

    h is the hydrocarbon density, g/cc

    Sxo is the saturation of the flush/zone, decimal

    Fluid density (f) is between 1.0 and 1.1.If gas is

    present, the actual f will be < 1.0 and the

    calculated porosity will be too high.

    Where

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    Formation (b)

    Long spacingdetector

    Short spacing

    detector

    Mud cake(mc+ hmc)

    Source

    Actuality

    Efficiency

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    1. Minimizing the influence of the mud column

    Efficiency

    i) Source and detector, mounted on a skid,

    are shielded

    ii) The openings of the shields are applied

    against the wall of the borehole by means

    of an eccentering arm

    2. A correction for due to mal instrument contact

    and formation or roughness of the borehole wall

    The use of two detectors is advisable to over comethis problem.

    3. Account for all of the effects of borehole breakouts,

    washouts, and rugosity

    Working equation (hydrocarbon zone)

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    Working equation (hydrocarbon zone)

    b = Recorded parameter (bulk volume)

    Sxomf = Mud filtrate component

    (1 - Sxo

    ) hc

    = Hydrocarbon component

    Vshsh = Shale component

    1 - - Vsh = Matrix component

    DENSITY LOGS

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    If minimal shale, Vsh0

    If hcmff, then

    b= f- (1 - ) ma

    fma

    bmad

    P it f d it l f ti

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    d = Porosity from density log, fraction

    ma = Density of formation matrix, g/cm3

    b = Bulk density from log measurement,g/cm3

    f = Density of fluid in rock pores, g/cm3

    hc = Density of hydrocarbons in rock pores,g/cm3

    mf = Density of mud filtrate, g/cm3

    sh = Density of shale, g/cm3

    Vsh = Volume of shale, fraction

    Sxo = Mud filtrate saturation in zone invaded

    by mud filtrate, fraction

    BULK DENSITY LOG: EXAMPLE

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    GRC0 150

    SPC

    MV-160 40ACAL

    6 16

    ILDC0.2 200

    SNC

    0.2 200MLLCF

    0.2 200

    RHOC1.95 2.95

    CNLLC

    0.45 -0.15

    DTus/f150 50

    001) BONANZA 1

    10700

    10800

    10900

    BULK DENSITY LOG: EXAMPLE

    Bulk Density

    Log

    RHOC

    1.95 2.95

    NEUTRON LOG2

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    NEUTRON LOGUses a radioactive source to

    bombard the formation withneutrons

    For a given formation,

    amount of hydrogen in the

    formation (i.e. hydrogen

    index) impacts the number of

    neutrons that reach the

    receiverA large hydrogen index

    implies a large liquid-filled

    porosity (oil or water)TOOL

    PRINCIPLE

    http://www.freepatentsonline.com/6639210-0-large.jpghttp://www.freepatentsonline.com/6639210-0-large.jpg
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    PRINCIPLE Logging tool emits high energy neutrons into

    formation. Neutrons collide with nuclei of formationsatoms

    Neutrons lose energy (velocity) with each collision of

    hydrogen atom. The most energy is lost when colliding with a

    hydrogen atom nucleus

    Neutrons are slowed sufficiently to be capturedby nuclei.

    Capturing nuclei become excited and emit

    gamma rays

    ACTIVITIES

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    1. Depending on type of logging tool eithergamma rays or non-captured neutrons are

    recorded

    2. Log records porosity based on neutronscaptured by formation

    3. If hydrogen is in pore space, porosity isrelated to the ratio of neutrons emitted tothose counted as captured

    Neutron log reports porosity, calibrated assumingcalcite matrix and fresh water in pores, if theseassumptions are invalid we must correct the neutron

    porosity value

    REMARKS

    Theoretical equation

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    Theoretical equation

    where

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    where= True porosity of rock

    N = Porosity from neutron logmeasurement, fraction

    Nma = Porosity of matrix fraction

    Nhc= Porosity of formation saturated with

    hydrocarbon fluid, fraction

    Nmf = Porosity saturated with mud filtrate,

    fraction

    Vsh = Volume of shale, fractionSxo = Mud filtrate saturation in zone

    invaded by mud filtrate, fraction

    POROSITY FROM NEUTRON LOG

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    GRC0 150

    SPC

    MV-160 40ACAL

    6 16

    ILDC0.2 200

    SNC

    0.2 200MLLCF

    0.2 200

    RHOC1.95 2.95

    CNLLC

    0.45 -0.15

    DTus/f150 50

    001) BONANZA 1

    10700

    10800

    10900

    POROSITY FROM NEUTRON LOG

    Neutron

    Log

    CNLLC

    0.45 -0.15

    EXAMPLE

    lithology is

    sandstone

    or

    dolomite

    ACOUSTIC (SONIC) LOG3

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    ( )

    These logs are usually borehole

    compensated (BHC) where in effects athole size changes as well as errors due

    to sonde tilt is substantially reduced..

    system uses two transmitters, one aboveand one below a pair of sonic receivers

    The travel time elapsed between thesound reaching the receiver is recorded

    and used for porosity calculations.

    ACOUSTIC (SONIC) LOG:TOOL

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    Upper

    transmitter

    Lower

    transmitter

    R1

    R2

    R3

    R4

    ( )

    Tool usually consists of one soundtransmitter (above) and tworeceivers (below)

    Sound is generated, travelsthrough formation

    Elapsed time between sound wave

    at receiver 1 vs receiver 2 isdependent upon density of mediumthrough which the sound traveled.

    BHC METHODOLOGY

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    When one of the transmitters is pulsed, the sound wave

    enters the formation, travels along the wellbore and

    triggers both of the receivers; the time elapsed

    between the sound reaching each receiver is recorded.

    Since the speed of sound in the sonic sonde and mud isless than that in the formations, the first arrivals of

    sound energy the receivers corresponds to the sound-

    travel paths in the formation near the borehole wall.

    The transmitters are pulsed alternately, and the

    differential time or delta t readings are obtained and

    averaged. This leads the tool is compensated for tilt.

    COMMON LITHOLOGY MATRIX

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    Lithology Typical Matrix Travel

    Time, tma, sec/ftSandstone 55.5Limestone 47.5Dolomite 43.5

    Anydridte 50.0Salt 66.7

    TRAVEL TIMES USED

    MODIFICATION

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    If Vsh= 0 and if hydrocarbon is

    liquid (i.e. tmf tf), then

    tL= tf+ (1 - ) tmaor

    maf

    maL

    s tt

    tt

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    s= Porosity calculated from sonic

    log reading, fraction

    tL = Travel time reading from

    log, microseconds/ft

    tma = Travel time in matrix,

    microseconds/ft

    tf = Travel time in fluid,

    microseconds/ ft

    EXAMPLE: ACOUSTIC (SONIC) LOG

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    DT

    USFT140 40

    SPHI

    %30 10

    4100

    4200

    GR

    API0 200

    CALIX

    IN6 16

    EXAMPLE: ACOUSTIC (SONIC) LOG

    Sonic travel time

    Sonicporosity

    Caliper

    GammaRay

    SONIC LOG:TIME RESPONSE

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    The response can be written as follows:

    fmalog t1tt

    maf

    ma

    tttt

    log

    tlog = log reading, sec/ft

    tma =the matrix travel time, sec/ft

    tf = the fluid travel time, sec/ft

    = porosity

    SONIC LOG

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    Sonic log - measures the slowness of a

    compressional wave to travel in theformation.

    Matrix travel time (tma) is a function of

    lithology

    SONIC LOG

    CHARACTERISTICS

    h l h d l

    SONIC LOG :SPECIALITY

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    There are several more sophisticated sonic logs

    that couple/ determine both the shear wave

    arrival and the compressional wave arrival.

    This log analyst can determine rock properties

    such as Poissons ratio, Youngs modulus, and

    bulk modulus.

    These values are very important when

    designing hydraulic fracture treatments orwhen trying to determine when a well may

    start to produce sand.

    EXAMPLE: SONIC LOG

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    GRC0 150

    SPC

    MV-160 40ACAL

    6 16

    ILDC0.2 200

    SNC

    0.2 200MLLCF

    0.2 200

    RHOC1.95 2.95

    CNLLC

    0.45 -0.15

    DTus/f150 50

    001) BONANZA 1

    10700

    10800

    10900

    Sonic

    Log

    DT

    150 50us/f

    FACTORS AFFECTING SONIC

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    FACTORS AFFECTING SONIC

    LOG RESPONSE

    Unconsolidated formations

    Naturally fractured formations

    Hydrocarbons (especially gas)

    Salt sections

    LET IT BE KNOWN

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    LET IT BE KNOWN

    The three porosity logs: Respond differently to different matrix

    compositions

    Respond differently to presence of gas orlight oils

    Combinations of logs can:

    Imply composition of matrix Indicate the type of hydrocarbon in pores

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    GAS EFFECT Density - is too high

    Neutron - is too low

    Sonic - is not significantly

    affected by gas