shale extraction methods presentation
TRANSCRIPT
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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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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
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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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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)
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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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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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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)
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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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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)
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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.
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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
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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)
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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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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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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).
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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
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Hudson et al. (2012)Copyright 2012, Society ofPetroleum Engineers
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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.
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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.
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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.
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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.
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