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    Copyright 2012 by Civan, Devegowda, and Sigal 1

    Effective Shale

    Gas and Condensate

    Reservoir SimulationFaruk Civan, Deepak Devegowda, and Richard Sigal

    Mewbourne School of Petroleum and GeologicalEngineering, University of OklahomaNorman, Oklahoma, U.S.A.

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    Copyright 2012 by Civan,Devegowda, and Sigal

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    Acknowledgments

    RPSEA

    The University of Oklahoma SubcontractNo. 09122-11 (Sigal et al., 2010).

    Consortium

    Service and operating companies.

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    Shale Gas and Condensate

    Reservoirs

    Exist throughout the world

    Abundant source of hydrocarbons

    Contain hydrocarbons and water Extremely low permeability

    Hydraulically fractured to improve

    production by creating Large fracture surface

    Induced fractures

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    Pore structure at different

    scales

    SEM imageInorganic poresOrganic poresThin cracks

    Core plug Grid blockComplex matrixFractures

    4 Faruk Civan, 2012

    Adsorbed gas Free gas

    Water

    Modified after Passey et al.,2010.

    Fracture

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    Project Objectives

    Critical Issues: What are different?

    Theoretical Fundamentals Adequate Formulation

    Validation using an in-house simulator

    Implementation in commercial simulators Demonstration with applications

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    Project Accomplishments

    Most advanced transport equation

    Non-Darcy flow under pore proximityeffects

    Fully-coupled free and adsorptive phasetransport model

    Multiple-porosity transport mechanisms Capillary relaxation coupled with relativepermeability modification

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    Project Accomplishments

    Handling various fracture systems by themethod of superposition

    Upscaling from SEM to core and grid blocksizes

    Fully-equipped one-dimensional testbench simulator in FORTRAN

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    Work in Progress TOUGH2 Modification for shale reservoir

    simulation

    Properties of pore-confined fluids Molecular simulation

    Thermodynamics and phase behavior

    Permeability from drill-cuttings

    Shale flow-units characterization

    Comingled production analysis

    Copyright 2012 by Civan,Devegowda, and Sigal

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    Shale Rock Composition

    Complex shale matrix contains Inorganic materials

    Clay minerals Nonclay minerals

    Some organic matter called kerogen

    Effective pore space contains Water

    Clay bound water Capillary bound water Mobile water

    Hydrocarbon Free gas Adsorbed gas Dissolved gas

    Adsorbed gas Free gas

    Water

    Modified after Passey etal., 2010, SPE 131350

    Fracture

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    Shale Rock Characteristics

    Mud-rock Extremely low permeability around 100 nanodarcies (10-17m2) Complex pore structure contains

    Intergranular porosity Intercrystalline matrix microporosity

    Organic porosity Organic particles Thin cracks of

    Natural types often cemented with some material Induced types created during hydraulic fracturing

    Heterogeneous quad-media having different

    Wettability Storage Transport Connectivity

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    Quad-media Continuum

    Transport with Six Exchange

    Pathways

    Faruk Civan, 2012 2

    Inorganic

    matter

    Organic

    matter

    Natural

    fracturesInduced

    fractures

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    Complex Issues of Gas and

    Condensate Movement in Shale Heterogeneous quad-media system Each component has different wettability, storage,

    transport, and connectivity

    Hydrocarbons storage in different forms as the free gas,

    adsorbed gas, and dissolved gas Alteration of fluid properties and behavior under pore

    confinement

    Gas transport by various mechanisms depending on

    prevailing regimes Effective mean-radius and apparent permeabilitydepending on pore-size distribution and flow regime

    Nonequilibrium fluid distribution in narrow flow paths.

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    Gas Transport Mechanisms

    13

    Modified after(Bae and Do, 2005)

    Adsorbed phase diffusion

    Wall dominated gas flow

    Gaseous viscous flow

    As the tube size getssmaller, flow regime

    changes to the point that

    viscous (Darcy) flow

    vanishes.

    Faruk Civan, 2012

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    Copyright 2012 by Civan, Devegowda, and Sigal 14

    Hydrocarbon Storage in Shale Pore-filling free gas

    Dissolved gas in Organic matter

    Water

    Adsorbed and

    condensed gases

    Pore reduction effect Energy of surface of small pores is barelysufficient to hold only a monolayer

    Langmuir adsorption isotherm is applied

    q

    p

    L

    L

    q pqp p

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    Gas Transport by Pressure

    Reduction

    Sequence of transport out of pores Free gas, first

    Adsorbed gas, second

    Dissolved gas, last Connectivity of quad-media

    Strongly affects gas transfer

    SEM images can only show micron scale connectivity

    Practically inferred by Modeling

    Production history matching

    Faruk Civan, 2012 2

    Inorganic

    matter

    Organic

    matter

    Natural

    fracturesInduced

    fractures

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    Parameters of CapillaryGas Transfer

    Rh Hydraulic radius Effective size parameter for non-

    adsorbing gas at high pressure.l Mean-Free-Path

    (For real gas lnot well understood)Kn= l/Rn Knudsen numberIn general porous media R

    hdiffers from R

    n

    2h h

    D Rl

    Civan (2010)

    Faruk Civan, 2012

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    Flow classification and

    modeling

    17

    Flow Regimes Models

    Continuum flow

    (Kn 0.001)

    Euler equations

    Bo

    ltzmann

    e

    quation

    No-slip Navier-

    Stokes

    equations

    Slip flow

    (0.001

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    Fluid Properties and Behavior

    under Pore Confinement Pore size varies in 0.5-100 nm (Ambrose et

    al.; Schulz and Horsfield, 2010). Light hydrocarbon molecule size varies in

    0.40.6 nm (Mitariten, 2005).

    Fluid properties and behavior in confinedpores deviate from large medium PVT cells Confinement effect

    Promotes interactions between Pore surface and molecules Molecules themselves.

    Results from various forces including van derWaals

    Important when the pore-to-molecule size ratio isless than about 20 (Travalloni et al., 2010)

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    Copyright 2012 by Civan,Devegowda, and Sigal 19

    Deviation From Normal Fluid

    Behavior In Nanoporous Media

    Occurs for Low pressure (Klinkenberg effect) Small pore size (pore proximity effect)

    Pore proximity Dominant for high pressure reservoir fluidsApparent critical properties

    Critical temperature deviation increases withincrease in molecule to pore size ratio But critical pressure deviation may increase or

    decrease depending on pressure

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    Copyright 2012 by Civan,Devegowda, and Sigal 20

    Effect of Confinement on Fluid

    Property Modification

    Pore reduction by surface retention Critical pressure and temperature

    Real gas deviation factor

    Density Real gas equation of state yields an apparent

    gas density different than that measured in

    unconfined medium.

    Viscosity

    Interfacial tension(IFT)

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    Apparent Gas Critical

    Properties

    0.00

    0.04

    0.08

    0.12

    0.16

    0.20

    0 50 100 150 200

    Tc

    *=1-Tcp

    /Tcb

    Molecular Weight

    5nm4nm

    2nm

    -0.5

    -0.4-0.3

    -0.2

    -0.1

    0.0

    0.1

    0.2

    0.30.4

    0 50 100 150 200

    Pc

    *=1-Pcp

    /Pcb

    Molecular Weight

    5nm4nm

    2nm

    (Sapmanee, 2011)(Sapmanee, 2011)

    Faruk Civan, 2012

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    Effect of 2 nm pore on real gas

    deviation factor

    0.80

    0.85

    0.90

    0.95

    1.00

    1.05

    1.10

    1.15

    1.20

    0 1000 2000 3000 4000 5000 6000

    ZF

    actor

    Pressure [psia]

    100 F (corrected)

    150 F (corrected)

    200 F (corrected)

    250 F (corrected)

    300 F (corrected)

    100 F (uncorrected)

    150 F (uncorrected)

    200 F (uncorrected)

    250 F (uncorrected)

    300 F (uncorrected)

    Temperature

    Methane : 2nm

    Michel G., Sigal R., Civan F.,Devegowda D. SPE 155787,

    Copyright 2012, Society of

    Petroleum Engineers

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    Gas Viscosity Decreases With

    Increasing Knudsen Number Kn

    Gas viscosity (Beskok and Karniadakis,1999)

    Rarefaction coefficient (Civan, 2010):

    1and lim 0

    1 KnKn

    1 and limo

    oBKn

    A

    Kn

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    Rarefaction Coefficientaccounts for all regimes

    24

    -7.5

    -7.0

    -6.5

    -6.0

    -5.5

    -0.2 0.0 0.2 0.4 0.6 0.8

    log(Viscosity,Pa.s)

    log (Nanotube Radius, nm)

    Chen et al.(2008)

    Beskok and

    Karniadakis (1999)1

    1

    Rarefaction coefficient

    Civan, 2010

    1

    o

    B

    Kn

    A

    Kn

    Faruk Civan, 2012

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    1.E-09 1.E-05 1.E-011.E+03

    Dimensionless

    rarefaction

    coefficie

    nt,

    Knudsen number, Kn

    Loyalka andHamoodi (1990)Civan (2010)

    Civan, 2011

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    Copyright 2012 by Civan,Devegowda, and Sigal 25

    Apparent Gas-condensate IFT

    c: empirical constant

    Dp: mean-pore diameterSG: gas saturation.Modified after Hamada et al. (2007)

    and Sapmanee (2011)

    1 2

    limp

    p G

    D

    cD S

    Gas

    DG= D

    P

    2

    4AL

    SL=A

    L

    AP

    =A

    L

    AG+

    AL

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    Flow Through Porous Media

    26

    aK A pqL

    L

    1

    2

    3

    4

    5

    6

    7

    0 1 2 3 4 5 6 7 8 9 10

    K/K0

    Reciprical of Pressure [10-3

    psia-1

    ]

    Methane : T = 170 F

    median = 34

    median = 56

    median = 152

    Klinkenberg predictslinear trend

    Cannot describetransition and free-molecular flow

    Michel et al (2011)

    Faruk Civan, 2012

    A t P bilit

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    Apparent Permeability

    Correction Factor

    27

    4

    ( ) 1 11

    Knf Kn Kn

    bKn

    (Beskok andKarniadakis,1999)

    1

    10

    100

    1000

    10000

    0.01 0.1 1 10 100 1000

    Permeab

    ilitycorrection

    factor,

    f(Kn)=Ka/K,

    dimensionless

    Knudsen number, Kn,

    dimensionless

    ( )aK f KnK

    Civan (2010)

    Faruk Civan, 2012

    C ti f P i

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    Correction for Pore-size

    Distribution Effect

    Range representative ofnanoporous shale

    0.00

    0.20

    0.40

    0.60

    0.80

    1.00

    1.20

    1 10 100 1000 10000

    DensityProb

    ability

    Radius []

    median = 152

    median = 56

    median = 34

    1

    10

    100

    14.5 145 1450 14500

    K/K0

    Pressure [psia]

    Methane : T = 170 F

    r = 50

    r = 100

    r = 500

    r = 1000

    r = 5000

    median = 152

    median = 56

    median = 34

    (Michel et al.,2011)

    (Michel et al.,2011)

    Faruk Civan, 2012

    Eff ti H d li

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    Effective vs. Hydraulic

    Mean-Radii

    Hydraulic radius, Rh(Intrinsic permeability)

    Effective radius, Re

    (Apparent permeability)

    8h

    KR

    -

    -

    -

    -

    4

    0

    4

    0

    4

    4( )

    8

    ( )

    8

    ee R e

    e e

    R R b

    R R b

    r r br f r dr

    r r b

    rf r d r

    l l

    l

    l l

    l

    0

    500

    1000

    1500

    0 500 1000 1500Effectiveradius,A,Re

    Hydraulic radius, A, Rh

    N: Number of tubes

    f(r): pore size distribution

    (Michel etal., 2011)

    Faruk Civan, 2012

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    Spontaneous Hydraulic Fluid

    Spreading

    Significant portion of injected fluiddoes not return to surface duringclean-up

    Accurate prediction of fracturing-fluidspreading is important.

    30

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    Hydraulic Fracturing Fluid

    Entrapment Equilibrium state is not reached

    after many months of production.

    Pressure trends indicate waterentrapment in narrow capillaries.

    Trapped water may invade deepinto formation by imbibition.

    Assuming instantaneous fluidadvance predicts unrealisticnegative capillary pressure.

    31

    N ilib i fl id

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    Nonequilibrium fluid

    distribution effect

    Narrow flow paths

    require long time toattain equilibrium

    fluid redistribution

    32

    Tortuousnarrowflow path

    , ,

    ,

    e

    SS S X S

    t

    S SS g S

    t t

    (Hassanizadeh and Gray,1993; Barenblatt et al., 2003)

    S

    Se

    Time(0, 0)

    : Relaxation time

    Faruk Civan, 2012

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    Copyright 2012 by Civan,Devegowda, and Sigal 33

    Nonequilibrium Fluid

    Distribution in Narrow Paths

    Seq: equilibrium fluid saturation

    S: instantaneous nonequilibrium fluid saturation S

    : relaxation time

    t : real time

    eq

    SS S

    t

    (Hassanizadeh and Gray,1993; Barenblatt et al., 2003)

    E ilib i N ilib i

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    Equilibrium vs. Nonequilibrium

    Saturation

    34

    0

    0.25

    0.5

    0.75

    0 0.25 0.5 0.75 1

    Pc[atm]

    Wetting phasesaturation

    Equilibrium

    Nonequilibrium

    e

    SS S

    t

    (Andrade, 2011)

    Faruk Civan, 2012

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    Gas Water flow by apparentvs. Darcy Formulation

    35

    Gas Displacing Water (Andrade, 2011)

    Faruk Civan, 2012

    Pore structure at different

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    Pore structure at different

    scales

    SEM imageInorganic poresOrganic poresThin cracks

    Core plug Grid blockComplex matrixFractures

    36

    Faruk Civan, 2012

    Adsorbed gas Free gas

    Water

    Modified after Passey et al.,

    2010.

    Fracture

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    Copyright 2012 by Civan,Devegowda, and Sigal 37

    Upscaling for Effective Shale

    Reservoir Scale Simulation

    Integrate various features of shale at different scales From the SEM grain scale To the representative elementary volume Then to gigantic reservoir grid block size

    Relate permeability of percolating network of differentcharacteristics to an effective medium description

    Apply superposition of porosity and permeability of Background interconnected and dead-end pores of matrix

    Thin sheet shaped cracks formed over the interparticle poresystem, acting like the pore throats.

    Q d di C ti

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    Copyright 2012 by Civan,Devegowda, and Sigal 38

    Quad-media Continuum

    Transport With Source/Sink

    ( ) .( )

    ( ). . ( )

    ( )

    .

    1and

    a

    a

    T

    T

    qt

    ww w qw

    t

    Kp

    K

    p qt

    Mpc

    ZRT p

    u

    u D

    u

    Faruk Civan, 2012 2

    Inorganicmatter

    Organicmatter

    Natural

    fracturesInduced

    fractures

    Civan et al. (2012)

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    Effective transport and productive capability

    Quad-Porosity effective medium grid blockproperties

    Matching grid block response generated byfine-grid simulation

    Grouping into quad-porosity effective media Match production time dependence of fine-grid

    model

    Allow up to four conductors with differentproperties

    Source terms to handle sorbed gas Both single and dual media treatments can

    be implemented with present commercialsimulators (Hudson et al. 2012).

    Copyright 2012 by Civan,Devegowda, and Sigal

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    Upscaling Methodology

    Homogenouseffectiveblock

    Fine-grid

    Upscaling

    Recovery Factor by Tank Model

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    Recovery Factor by Tank Model

    of Quad-porosity System

    Copyright 2012 by Civan, Devegowda, and Sigal 40

    Hudson et al. (2012)Copyright 2012, Society ofPetroleum Engineers

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    Copyright 2012 by Civan,Devegowda, and Sigal 41

    Final Remarks

    Quad-media shale pore structure andcharacteristics

    Alteration of fluid and pore properties

    and behavior Fundamental gas transfer mechanisms Nonequilibrium fluid distribution

    Modeling considerations for effectivesimulation of shale gas and condensatereservoirs.

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    References Andrade, Juan Felipe, One Dimensional Test Bed Incorporating Correct Physics Of Fluid

    Redistribution And Transport For Simulation Of Shale-Gas Reservoirs, M.S. thesis, U. ofOklahoma, May 2011.

    Andrade, J., Civan, F., Devegowda, D., and Sigal, R., Accurate Simulation of Shale-GasReservoirs, Paper SPE 35564-PP, the SPE Annual Technical Conference and ExhibitionFlorence, Italy, 1922 September 2010.

    Andrade J., Civan, F., Devegowda, D., and Sigal, R. Design Requirements for a Shale GasReservoir Simulator and an Examination of How the Requirements Compare to Designs of

    Current Shale Gas Simulators, Paper SPE-144401, the SPE Americas Unconventional GasConference, 14-16 June 2011 in The Woodlands, Texas.

    Ambrose, R.J., Hartman, R.C., Campos, M.D., Akkutlu, I.Y. and Sondergeld, C. 2010. New Pore-scale Considerations for Shale Gas in Place Calculations. Paper SPE 131772-MS presented atthe SPE Unconventional Gas Conference, Pittsburgh, Pennsylvania, USA, 02/23/2010. doi:10.2118/131772-MS.

    Bae, J.-S. and Do, D.D., Permeability of Subcritical Hydrocarbons in Activated Carbon, AIChE

    J., 51(2), pp. 487-501, 2005. Barenblatt, G.I., Patzek, T.W. and Silin, D.B. 2003. The Mathematical Model of Nonequilibrium

    Effects in Water-Oil Displacement. SPE Journal, Vol.8 (4): 409-416. SPE 87329-PA. doi:10.2118/87329-PA.

    Copyright 2012 by Civan,Devegowda, and Sigal

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    References

    Beskok, A. and Karniadakis, G.E.:A model for flows in channels, pipes, and ducts at micro andnano scales, Microscale Thermophysical Engineering Vol. 3 No. 1 pp. 43-77 (1999).

    Chen, X., Cao, G., Han, A., Punyamurtula, V.K., Liu, L., Culligan, P.J., Kim, T. and Qiao, Y. 2008.Nanoscale Fluid Transport: Size and Rate Effects, Nano Letter8(9): 2988-2992.

    Civan, F. 2002. A Triple-Mechanism Fractal Model With Hydraulic Dispersion For Gas Permeationin Tight Reservoirs. Paper 74368 presented at the SPE International Petroleum Conference andExhibition in Mexico, Villahermosa, Mexico, 01/01/2002. doi: 10.2118/74368.

    Civan, F.: Effective Correlation of Apparent Gas Permeability in Tight Porous Media, Transport inPorous Media, Vol. 82, No. 2, pp. 375-384, 2010.

    Civan, F., A Review of Approaches for Describing Gas Transfer Through Extremely Tight PorousMedia, Porous Media and Its Applications in Science, Engineering, and Industry, Vafai, K. (ed.),Proceedings of the Third ECI International Conference on Porous Media and its Applications inScience, Engineering and Industry, June 20-25, 2010, Montecatini Terme, Italy, pp. 53-58, 2010.

    Civan, F., Correlate Data Effectively, Chemical Engineering Progress, Vol. 107, No. 2, pp. 35-44,

    February 2011. Civan, F., Devegowda, D., and Sigal, R. F., Theoretical Fundamentals, Critical Issues, andAdequate Formulation of Effective Shale Gas and Condensate Reservoir Simulation, PorousMedia and Its Applications in Science, Engineering, and Industry, Vafai, K. (ed.), Proceedings(CD) of the 4th International Conference on Porous Media and its Applications in Science andEngineering, ICPM4, pp. 155-160, June 17-22, 2012, Potsdam, Germany.

    Copyright 2012 by Civan,Devegowda, and Sigal

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    http://apps.isiknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=1&SID=1AlIPkAc38baDPfik2n&page=4&doc=31&colname=WOShttp://apps.isiknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=1&SID=1AlIPkAc38baDPfik2n&page=4&doc=31&colname=WOShttp://www.hotelvittoria.it/http://www.aiche.org/uploadedFiles/CEP/Issues/2011-02/021135.pdfhttp://www.aiche.org/uploadedFiles/CEP/Issues/2011-02/021135.pdfhttp://www.hotelvittoria.it/http://apps.isiknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=1&SID=1AlIPkAc38baDPfik2n&page=4&doc=31&colname=WOShttp://apps.isiknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=1&SID=1AlIPkAc38baDPfik2n&page=4&doc=31&colname=WOS
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    References Hamada, Y., Koga, K. and Tanaka, H. 2007. Phase equilibria and interfacial tension of fluids

    confined in narrow pores, J. Chem Phys127(8): 084908-1- 084908-9.

    Hassanizadeh SM and Gray WG. Thermodynamic of capillary pressure in porous media. WaterResources Research. 1993; 29: 3389-3405.

    Hudson, John D., Quad-Porosity Model for Description of Gas Transport in Shale-GasReservoirs, M.S. thesis, U. of Oklahoma, December, 2011.

    Hudson, J., Civan, F., Michel, G., Devegowda, D., and Sigal, R., "Modeling Multiple-PorosityTransport in Gas-Bearing Shale Formations," Paper SPE-153535-PP,the 2012 SPE Latin America

    and the Caribbean Petroleum Engineering Conference, 16-18 April 2012 in Mexico City, Mexico. Hudson, J.D., Michel, G. G., Civan, F., Devegowda, D., Sigal, R. F. Modeling Multiple-PorosityTransport in Gas-Bearing Shale Formations. Paper SPE 153535, SPE Annual TechnicalConference and Exhibition, SanAntonio, TX, 4-7 Oct 2012.

    Loyalka, S.K. and Hamoodi, S.A.: Poiseuille Flow of a Rarefied Gas in a Cylindrical Tube: Solutionof Linearized Boltzmann Equation, Phys. Fluids A, Vol. 2, No. 11, pp. 2061-2065 (1990).

    Michel, G., Sigal, R. F., Civan, F., and Devegowda, D., Proper Modeling of Nano-Scale Real-Gas

    Flow Through Extremely Low-Permeability Porous Media under Elevated Pressure andTemperature Conditions, 7th International Conference on Computational Heat and MassTransfer, stanbul, Turkey, 18-22 July, 2011.

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    http://www.spe.org/atce/2012/http://www.spe.org/atce/2012/http://www.spe.org/atce/2012/http://www.icchmt.com/http://www.icchmt.com/http://www.icchmt.com/http://www.icchmt.com/http://www.spe.org/atce/2012/http://www.spe.org/atce/2012/http://www.spe.org/atce/2012/
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    References Michel, G., Civan, F., Sigal, R. F., and Devegowda, D., "Parametric Investigation of Shale Gas

    Production Considering Nano-Scale Pore Size Distribution, Formation Factor, and Non-DarcyFlow Mechanisms," SPE-147438-PP, the 2011 SPE Annual Technical Conference and Exhibition(ATCE), 30 October 2 November 2011 in Denver, Colorado.

    Michel, G., Civan, F., Sigal, R. F., and Devegowda, D., "Effect of Capillary Relaxation on WaterEntrapment After Hydraulic Fracturing Stimulation," Paper SPE-155787-PP, the 2012 AmericasUnconventional Resources Conference held 5-7 June at the David L. Lawrence ConventionCenter in Pittsburgh, Pennsylvania, USA.

    Mitariten, M. 2005. Molecular gate adsorption system for the removal of Carbon dioxide and/orNitrogen from coalbed and coal mine Methane, presented at 2005 Western States Coal MineMethane Recovery and Use Workshop, Two Rivers Convention Center, Grand Junction, CO, April1920.

    Passey, Q.R., Bohacs, K., Esch, W.L., Klimentidis, R. and Sinha, S. 2010. From Oil-Prone SourceRock to Gas-Producing Shale Reservoir - Geologic and Petrophysical Characterization ofUnconventional Shale Gas Reservoirs. Paper SPE presented at the International Oil and GasConference and Exhibition in China, Beijing, China, 06/08/2010.

    Sapmanee, K., Effects of Pore Proximity on Behavior and Production Prediction ofGas/Condensate, M.S. thesis, U. of Oklahoma, September 2011.

    Copyright 2012 by Civan,Devegowda, and Sigal

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  • 8/13/2019 Shale extraction Methods Presentation

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    References

    Sapmanee, K, Devegowda, D., Civan, F. and Sigal, R.F. Phase Behavior of Gas Condensates inShales Due to Pore Proximity Effects: Implications for Transport, Reserves and Well Productivity,Paper SPE 160099, SPE Annual Technical Conference and Exhibition, SanAntonio, TX, 4-7 Oct2012.

    Schaaf , S.A. and Chambre, P.L., Flow of Rarefied Gases, Princeton University Press, Princeton,New Jersey (1961).

    Schulz, H.M. and Horsfield, B., Rock matrix as reservoir: mineralogy & diagenesis Deutsches

    GeoForschungs ZentrumGFZ, Potsdam, University of Cape Town, Rondebosch 7701, SouthAfrica, 2010.

    Sigal, R., Devegowda, D., and Civan, F., RFP 2009UN001, Simulation of Shale Gas ReservoirsIncorporating Appropriate Pore Geometry and the Correct Physics of Capillarity and FluidTransport, $1.3 Millions, funded by PRSEA, October 1, 2010-2012.

    Travalloni, L., Castier, M., Tavares, F.W. and Sandler, S.I. 2010. Critical behavior of pure confinedfluids from an extension of the van der Waals equation of state. The Journal of Supercritical

    Fluids, Vol.55 (2): 455-461. Xiong, X., Devegowda, D., Civan, F., Michel, G. G., and Sigal, R.F., A Fully-Coupled Free and

    Adsorptive Phase Transport Model for Shale Gas Reservoirs Including Non-Darcy Flow Effects,Paper SPE 159758, SPE Annual Technical Conference and Exhibition, SanAntonio, TX, 4-7 Oct2012.

    Copyright 2012 by Civan, 46

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