Second-Order Gas-Permeability Correlation of Shale During Slip Flow
- Cong Niu (University of Science and Technology of China) | You-zhi Hao (University of Science and Technologies of China) | Daolun Li (University of Science and Technologies of China) | Detang Lu (University of Science and Technologies of China)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- October 2014
- Document Type
- Journal Paper
- 786 - 792
- 2014.Society of Petroleum Engineers
- 5.1.1 Exploration, Development, Structural Geology, 5.3.4 Integration of geomechanics in models, 1.10 Drilling Equipment
- Molecule Accumulation, Apparent permeability, Slip Flow Regime, Second-order slip boundary
- 6 in the last 30 days
- 696 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
Recent molecular-dynamics (MD) simulation of methane flow through nanoscale kaolinite channel shows that the gas molecules accumulate near the kaolinite wall, which will reduce the flowpath of the gas through tight porous media. Considering this gas-accumulation effect, and on the basis of the corrected second-order slip boundary condition (BC) proposed by Zhang et al. (2010), a permeability-correlation model is proposed for nanoscale flow in highly compacted shale reservoirs. Full-derivation detail of this model is presented along with a comparison with several existing correlations. Results show that, with the increase of the Knudsen number (Kn), the molecular-accumulation effect has an obvious negative effect on the shale permeability, which should not be neglected in further investigation. The parametric investigation of the model proposed shows that the permeability is mostly decided by the pore-wall structure of shale matrix and only slightly influenced by the gas property.
|File Size||546 KB||Number of Pages||7|
Allen, Michael P. and Tildesley, Dominic J. eds. 1989. Computer Simulation of Liquids. Oxford University Press.
Arkilic, E.B. 1997. Measurement of the Mass Flow and Tangential Momentum Accommodation Coefficient in Silicon Micromachined Channels. FDRL TR 97-1, PhD thesis, MIT.
Arogundade, O. and Sohrabi, M. 2012. A Review of Recent Developments and Challenges in Shale Gas Recovery. Paper SPE 160869 presented at the SPE Saudi Arabia Section Technical Symposium and Exhibition, Al-Khobar, Saudi Arabia, 4 August–4 November. http://dx.doi.org/10.2118/160869-MS.
Beskok, A. and Karniadakis, G.E. 1999. Report: A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales. Microscale Thermophys. Eng. 3 (1): 43–77.
Best, M. and Katsube, T. 1995. Shale Permeability and Its Significance in Hydrocarbon Exploration. The Leading Edge 14 (3): 165–170.
Bhatia, S.K. and Nicholson, D. 2003. Molecular Transport in Nanopores. J. Chem. Phys. 119: 1719.
Biswas, D. 2011. Shale Gas Predictive Model (SGPM)—An Alternate Approach To Model Shale Gas Production. Paper SPE 148491 presented at the SPE Eastern Regional Meeting, Columbus, Ohio, 17–19 August. http://dx.doi.org/10.2118/148491-MS.
Cieplak, M., Koplik, J., and Banavar, J.R. 2000. Boundary Conditions at a Fluid-Solid Interface. Phys. Rev. Lett. 86 (5): 803–806.
Civan, F. 2010. Effective Correlation of Apparent Gas Permeability in Tight Porous Media. Transp. Porous Media 82 (2): 375–384.
Civan, F., Rai, C., and Sondergeld, C. 2011. Shale-Gas Permeability and Diffusivity Inferred by Improved Formulation of Relevant Retention and Transport Mechanisms. Transp. Porous Media 86 (3): 925–944.
Civan, F., Rai, C., and Sondergeld, C. 2012. Determining Shale Permeability to Gas by Simultaneous Analysis of Various Pressure Tests. SPE J. 17 (3): 717–726. http://dx.doi.org/10.2118/144253-PA.
Clarkson, C.R., Nobakht, M., Kaviani, D. et al. 2012. Production Analysis of Tight-Gas and Shale-Gas Reservoirs Using the Dynamic-Slippage Concept. SPE J.17 (1): 230–242. http://dx.doi.org/10.2118/144317-PA.
Colin, S., Lalonde, P., and Caen, R. 2004. Validation of a Second-Order Slip Flow Model in Rectangular Microchannels. Heat Transfer Eng. 25 (3): 23–30.
Cracknell, Roger F., Nicholson, David, and Quirke, Nicholas. 1995. Direct Molecular Dynamics Simulation of Flow Down a Chemical Potential Gradient in a Slit-Shaped Micropore. Phys. Rev. Lett. 74 (13): 2463.
Demirel, A.L. and Granick, S. 2001. Origins of Solidification When a Simple Molecular Fluid Is Confined Between Two Plates. J. Chem. Phys. 115: 1498.
Firouzi, M. and Wilcox, J. 2012. Molecular Modeling of Carbon Dioxide Transport and Storage in Porous Carbon-Based Materials. Microporous and Mesoporous Materials 158: 195–203.
Firouzi, M. and and Wilcox J. 2013. Slippage and Viscosity Predictions in Carbon Micropores and Their Influence on CO2 and CH4 Transport. J. Chem. Phys. 138: 064705.
Freeman, C., Moridis, G., and Blasingame, T. 2011. A Numerical Study of Microscale Flow Behavior in Tight Gas and Shale Gas Reservoir Systems. Transp. Porous Media 90 (1): 253–268.
Granick, S. 1991. Motions and Relaxations of Confined Liquids. Science 253 (5026): 1374–1379.
Guo, J.J., Zhang, L., Wang, H. et al. 2012. Pressure Transient Analysis for Multi-Stage Fractured Horizontal Wells in Shale Gas Reservoirs. Transp. in Porous Media 93 (3): 635–653.
Hasan, A.A., Anas, M.A., and Wattenbarger, R.A. 2010. Application of Linear Flow Analysis to Shale Gas Wells—Field Cases. Paper SPE 130370 presented at the SPE Unconventional Gas Conference, Pittsburgh, Pennsylvania, 23–25 February. http://dx.doi.org/10.2118/130370-MS.
Heyes, David M. 1998. The Liquid State: Applications of Molecular Simulations. Chichester: Wiley.
Javadpour, F. 2009. Nanopores and Apparent Permeability of Gas Flow in Mudrocks (Shales and Siltstone). J. Cdn. Pet. Tech. 48 (8): 16–21. http://dx.doi.org/10.2118/09-08-16-PA.
Javadpour, F., Fisher, D., and Unsworth, M. 2007. Nanoscale Gas Flow in Shale Gas Sediments. J. Cdn. Pet. Tech. 46 (10). http://dx.doi.org/10.2118/07-10-06-PA.
Katsube, T. 2000. Shale Permeability and Pore-Structure Evolution Characteristics. Geological Survey of Canada Report E15.
Klinkenberg L.J. 1941. The Permeability of Porous Media to Liquids and Gases. Drilling and Production Practice.
Kundert, D. and Mullen, M. 2009. Proper Evaluation of Shale Gas Reservoirs Leads to a More Effective Hydraulic-Fracture Stimulation. Paper SPE 123586 presented at the SPE Rocky Mountain Petroleum Technology Conference, Denver, Colorado, 14–16 April. http://dx.doi.org/10.2118/123586-MS.
Lamb, H. 1932. Hydrodynamics. Dover, New York: Cambridge University Press.
Li, J., Liao, D., and Yip, S. 1998. Coupling Continuum to Molecular-Dynamics Simulation: Reflecting Particle Method and the Field Estimator. Phys. Rev. E 57 (6): 7259.
Medeiros, F., Kurtoglu, B., Ozkan, E. et al. 2010. Analysis of Production Data From Hydraulically Fractured Horizontal Wells in Shale Reservoirs. SPE Res Eval & Eng. 13 (3): 559–568. http://dx.doi.org/10.2118/110848-PA.
Michel, G., Civan, F., Sigal, R. et al. 2011. Parametric Investigation of Shale Gas Production Considering Nano-Scale Pore Size Distribution, Formation Factor, and Non-Darcy Flow Mechanisms. Paper SPE 147438 presented at the SPE Annual Technical Conference and Exhibition, Denver, Colorado, 30 October–2 November. http://dx.doi.org/10.2118/147438-MS.
Roy, S., Raju, R., Chuang, H.F. et al. 2003. Modeling Gas Flow Through Microchannels and Nanopores. J. Appl. Phys. 93 (8): 4870–4879.
Ruthven, Douglas Morris. 1984. Principles of Adsorption and Adsorption Processes.
Sakhaee-Pour, A. and Bryant, S. 2011. Gas Permeability of Shale. Paper SPE 146944 presented at the SPE Annual Technical Conference and Exhibition, Denver, Colorado, 30 October–2 November. http://dx.doi.org/10.2118/146944-MS.
Shabro, V., Torres-Verdín, C., Javadpour, F. et al. 2012. Finite-Difference Approximation for Fluid-Flow Simulation and Calculation of Permeability in Porous Media. Transp. Porous Media 1–19.
Smirnov, Konstantin S. and Bougeard, Daniel. 1999. A Molecular Dynamics Study of Structure and Short-Time Dynamics of Water in Kaolinite. J. Phys. Chem. B 103 (25): 5266–5273.
Sofos, F.D., Karakasidis, T.E., and Liakopoulos, A. 2009. Effects of Wall Roughness on Flow in Nanochannels. Phys. Rev. E 79 (2): 026305.
Spiga, G.L.M.M. 1998. Slip-Flow in Rectangular Microtubes. Microscale Thermophys. Eng. 2 (4): 273–282.
Young, R.A. and Hewat, A.W. 1988. Verification of the Triclinic Crystal Structure of Kaolinite. Clays and Clay Minerals 36 (3): 225–232.
Zhang, H., Zhang, B-j., Liang, S. et al. 2001. Shear Viscosity of Simple Fluids in Porous Media: Molecular Dynamic Simulations and Correlation Models. Chem. Phys. Lett. 350 (3): 247–252. http://dx.doi.org/10.2118/S0009-2614(01)01272-6.
Zhang, H., Zhang, Z., Zheng, Y. et al. 2010. Corrected Second-Order Slip Boundary Condition for Fluid Flows in Nanochannels. Phys. Rev. E 81 (6): 066303.
Zhu, Y. and Granick, S. 2003. Reassessment of Solidification in Fluids Confined Between Mica Sheets. Langmuir 19 (20): 8148–8151.