Lattice Boltzmann method for simulation of shale gas transport in kerogen

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 4, Issue , 2011, Pages 2772-2786

  Fathi, Ebrahim ^a   Akkutlu, I Yucel ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF GASES; FLUID MECHANICS; FLUIDICS; GAS DYNAMICS; KINETIC THEORY; LAMINAR FLOW; MOLECULES; NANOPORES; PETROLEUM RESERVOIRS; PORE PRESSURE; QUAY WALLS; REYNOLDS NUMBER; SHALE GAS; TWO PHASE FLOW;

CRITICAL KNUDSEN NUMBERS; LANGMUIR SLIP BOUNDARY CONDITION; LATTICE BOLTZMANN METHOD; LATTICE-GAS CELLULAR AUTOMATON; MICRO-AND NANO-FLUIDICS; MOLECULAR LEVEL INTERACTIONS; NON-CONTINUUM EFFECTS; SHALE GAS RESERVOIRS;

GASES;

EID: 84856628824     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/146821-ms     Document Type: Conference Paper

References (47)

1. Adesida, A., Akkutlu, I.Y., Resasco, D.E., and Rai, C.S. 2011. Characterization of Barnett Shale Pore Size Distribution using DFT Analysis and Monte Carlo Simulations. SPE 147397, paper presented during the SPE Annual Tech. Conf. Exhibition held in Dener, Colorado, October 30- November 2.
2. Ambrose, R.J., Hartman, R.C., Diaz-Campos, M., Akkutlu, I.Y., and Sondergeld, C.H. 2010 New pore-scale considerations in Shale gas in-place calculations. SPE-131772, paper presented during the SPE Unconventional Gas Conference held in Pittsburgh, Pennsylvania, February 23-25.
3. Bhatnagar, P.L., Gross, E.P. and Krook, M. 1954. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems Phys. Rev. 94, 511.
4. Chen, S., Doolen, G.D. 1998. Lattice Boltzmann method for fluid flows. Annual Rev Fluid Mech. 30:329-364.
5. Chen, S., Krafczyk, M. 2009. Entropy generation in turbulent natural convection due to internal heat generation. Int. J. Therm. Sci. 48, 1978-1987.
6. Chen, S., Liu, Z., Zhang, C., He, Z., Tian, Z., Shi, B., Zheng, C. 2007. A novel coupled lattice Boltzmann model for low Mach number combustion simulation. Appl. Math. Comput. 193,266-284. (Pubitemid 47562560)
7. Chen, S., Tian, Z. Simulation of microchannel flow using the lattice Boltzmann method. 2009 Physica A 388, 4803-4810.
8. Chen, S., Tian, Z. 2010. Simulation of thermal micro-flow using lattice Boltzmann method with Langmuir slip model. International Journal of Heat and Fluid Flow 31, 227-235.
9. Dardis, O. and McCloskey, J. 1998. Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in porous media. Phys. Rev. E., Vol. 57, No. 4, pp.4834-4837. (Pubitemid 128595932)
10. Diaz-Campos, M. 2010. Uncertaities in Shale gas in-place calculations: Molecular simulation approach. Thesis, University of Oklahoma
11. Do, D.D. 1998. Adsorption analysis: Equilibria and kinetics. Imperial College Press.
12. Fathi, E., Akkutlu, I.Y. 2009. Matrix heterogeneity effects on gas transport and adsorption in coalbed and shale gas reservoirs. Journal of Transport in Porous Media 80:281-3044.
13. Fathi, E., Akkutlu, I.Y. 2011. Mass transport of adsorbed-phase in stochastic porous medium with fluctuating porosity field and nonlinear gas adsorption kinetics. Revised version submitted to Journal of Transport in Porous Media.
14. Frisch, U., Hasslacher, B., Pomeau, Y. 1986. Lattice-gas automata for the Navier-Stokes equation. Phys Rev. Let. 56:1505-1508.
15. Guo, Z. L., Zhao, T. S., and Shi, Y. 2007. Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows. Physical Review E 76, 056704.
16. He, X.Y., Chen, S.Y., Doolen, G.D. 1998. A novel thermal model for the lattice Boltzmann method in incompressible limit. J. Comput. Phys. 146, 282-300. (Pubitemid 128347125)
17. He, X., Doolen, G.D. 2002. Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows. J Stat. Phys. 107:309-328. (Pubitemid 37133856)
18. He, X., Luo, L.S. 1997. A priori derivation of the lattice Boltzmann equation. Phys. Rev. E.55:6333-36.
19. Ho, C. M., and Tai, Y. C. Micro-electro-mechanical-systems MEMS and fluid flows. Annu. Rev. Fluid Mech. 30, 579 (1998).
20. Kang, S.M., Fathi, E., Ambrose, R.J., Akkutlu, I.Y., and Sigal, R.F. 2011. Carbon dioxide storage capacity of organic-rich Shales. Online published in SPE Journal. SPE-134583-PA
21. Kim, H., Kim, D., Kim, W., Chung, P., Jhon, M. 2007. Langmuir slip model for air bearing simulation using the lattice Boltzmann method. IEEE Trans. Magn. 43, 2244-2246. (Pubitemid 46793641)
22. King, M.R. 2007. Oscillatory gas flow in a circular nanotube. The Open Nanoscience Journal.
23. Loucks, R.G., Reed, R.M., Ruppel, S.C., and Jarvie, D.M. 2009. Morphology, genesis, and distribution of nanometer-scale pores in siliceous mudstones of the Mississippian Barnett Shale. Journal of Sedimentary Research 79: 848-861.
24. Martys, N.S., Chen, H. Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. Phys Rev E53:743-150, (1996).
25. Maxwell, J. C. 1879. On stresses in rarefied gases arising from inequalities of temperature, Philos.Trans. R. Soc. Lond., 170, pp. 231-256.
26. Myong, R.S. 2004. A generalized hydrodynamic computational model for rarefied and microscale diatomic gas flows. J. Comp. Phys. 195, 655-676. (Pubitemid 38482797)
27. Myong, R.S., Reese, J.M., Barber, R.W., Emerson, D.R. 2005.Velocity slip in microscale cylindrical Couette flow: the Langmuir model. Phys. Fluids 17,087105.
28. Myong, R.S., Lockerby, D.A., Reese, J.M. 2006. The effect of gaseous slip on microscale heat transfer: an extended Graetz problem. Int. J. Heat Mass Transfer 49, 2502-2513. (Pubitemid 43729318)
29. Myong, R. S. 2001. Velocity-slip effect in low-speed microscale gas flows. AIAA Paper No. 2001-3076.
30. Nie, X.B., Doolen, G.D., Chen, S.Y. 2002. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Stat. Phys. 107, 279-289. (Pubitemid 37133854)
31. Or, D. and Tuller, M. 2002. The role of cavitation in porous media desaturation under tension. Wat. Resour Res 38: doi: 10.1029/2001WR000282.
32. Qian, Y.H., d'Humieres, D., Lallemand, P. 1992. Lattice BGK models for Navier-Stokes equation. Europhys Lett. 17:479-484.
33. Ramstad, T., Oren, P., Bakke, S. 2010. Simulation of two-phase flow in reservoir rocks using a lattice Boltzmann method. SPE Journal December.
34. Roy, S., Raju, R., Chuang, H.F., Cruden, B.A., and Meyyappan, M. 2003. Modeling gas flow through microchannels and nanopores. J. Appl. Phys., 93(8):4870-4879.
35. Shan, X., and Chen, H. 1993. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47:1815-19.
36. Sondergeld, C.H., Ambrose, R.J., Rai, C.S. and Moncrieff, J. Micro-Structural studies of gas Shales, SPE-131771 paper presented at the SPE Unconventional Gas Conference, Pittsburg, Pennsylvania, February 23-25, (2010).
37. Stops, D. W. 1970. The mean free path of gas molecules in the transition régime. J. Phys. D: Appl. Phys. 3 685.
38. Succi, S. 2001. The lattice Boltzmann equation for fluid dynamics and beyond. Oxford University Press, Oxford.
39. Succi, S. 2002. Mesoscopic modeling of slip motion at fluidsolid interfaces with heterogeneous catalysis. Phys. Rev. Lett. 89, 064502.
40. Suga, K., Takenaka, S., Ito, T., Kaneda, M., Kinjo, T., and Hyodo, S. 2010. Evaluation of a lattice Boltzmann method in a complex nanoflow. Physical Review E 82, 016701.
41. Sukop, M.C. and Or, D. 2004. Lattice Boltzmann method for modeling liquid-vapor interface configurations in porous media. Water Resource Research, Vol. 40.
42. Sukop, M.C., and Or, D. 2005. Lattice Boltzmann method for homogeneous and heterogeneous cavitation. Phys Rev E 71:046703.
43. Sukop, M.C. and Thorne Jr., D.T. 2006. Lattice Boltzmann modeling: An introduction for geoscientists and engineers. Springer, Heidelberg, Berlin, New York.
44. Tang, G.H., Gu, X.J., Barber, R.W., Emerson, D.R., Zhang, Y.H. 2008. Lattice Boltzmann simulation of nonequilibrium effects in oscillatory gas flow. Phys. Rev. E 78,026706.
45. Tang, G., Tao, W., He, Y. 2005. Thermal boundary condition for the thermal lattice Boltzmann equation. Phys. Rev. E 72, 016703.
46. Wang, F. P., Reed, R. M. 2009. Pore networks and fluid flow in gas Shales. SPE-124253 paper presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, October 4-7.
47. Zhou, J.G. 2004. Lattice Boltzmann methods for shallow water flows. Springer Verlag Berlin Heidelberg New York.