Lattice Boltzmann simulation of fluid flow in fracture networks with rough, self-affine surfaces

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 2 2, 2003, Pages 263091-2630912

  Madadi, Mahyar ^a,b   Sahimi, Muhammad ^a,c  

^a INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

^b UNIVERSITY OF STUTTGART   (Germany)

^c University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; FRACTURE; REYNOLDS NUMBER; ROCKS; SURFACE ROUGHNESS;

FRACTURE NETWORKS;

PERCOLATION (FLUIDS);

EID: 0037720157     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993); Flow and Transport in Porous Media and Fractured Rock (VCH, Weinheim, Germany, 1995).
2. M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993); Flow and Transport in Porous Media and Fractured Rock (VCH, Weinheim, Germany, 1995).
3. S. R. Brown and C. H. Scholz, J. Geophys. Res. B 90, 12 575 (1985).
4. S. R. Brown, Geophys. Res. Lett. 14, 1095 (1987); J. Geophys. Res. B 92, 1337 (1987).
5. S. R. Brown, Geophys. Res. Lett. 14, 1095 (1987); J. Geophys. Res. B 92, 1337 (1987).
6. J. Schmittbuhl, S. Gentier, and S. Roux, Geophys. Res. Lett. 20, 639 (1993).
7. B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); N. E. Odling, Rock Mech. Rock Eng. 27, 13 (1994).
8. B. L. Cox and J. S. Y. Wang, Fractals 1, 87 (1993); N. E. Odling, Rock Mech. Rock Eng. 27, 13 (1994).
9. D. T. Snow, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 7, 23 (1970); R. A. Vickers, S. P. Neuman, M. J. Sully, and D. D. Evans, Geophys. Res. Lett. 19, 1029 (1992); R. A. Johns, J. S. Steuds, L. M. Castainer, and P. V. Roberts, J. Geophys. Res. B 98, 1889 (1993).
10. D. T. Snow, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 7, 23 (1970); R. A. Vickers, S. P. Neuman, M. J. Sully, and D. D. Evans, Geophys. Res. Lett. 19, 1029 (1992); R. A. Johns, J. S. Steuds, L. M. Castainer, and P. V. Roberts, J. Geophys. Res. B 98, 1889 (1993).
11. D. T. Snow, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 7, 23 (1970); R. A. Vickers, S. P. Neuman, M. J. Sully, and D. D. Evans, Geophys. Res. Lett. 19, 1029 (1992); R. A. Johns, J. S. Steuds, L. M. Castainer, and P. V. Roberts, J. Geophys. Res. B 98, 1889 (1993).
12. M. Sahimi, Heterogeneous Materials; Volume II: Nonlinear and Breakdown Properties, and Atomistic Modelling (Springer, New York, 2003); Phys. Rep. 306, 213 (1998).
13. M. Sahimi, Heterogeneous Materials; Volume II: Nonlinear and Breakdown Properties, and Atomistic Modelling (Springer, New York, 2003); Phys. Rep. 306, 213 (1998).
14. Y. W. Tsang and P. A. Witherspoon, J. Geophys. Res. 86, 9287 (1981); E. Hakami and E. Larsson, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33, 395 (1996).
15. Y. W. Tsang and P. A. Witherspoon, J. Geophys. Res. 86, 9287 (1981); E. Hakami and E. Larsson, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33, 395 (1996).
16. V. M. Mourzenko, J.-F. Thovert, and P. M. Adler, J. Phys. II 5, 465 (1995).
17. D. H. Rothman and S. Zaleski, Lattice-Gas Cellular Automata (Cambridge University Press, London, 1997).
18. R. Gutfraind and A. Hansen, Transp. Porous Media 18, 131 (1995).
19. X. Zhang, M. A. Knackstedt, and M. Sahimi, Physica A 233, 835 (1996).
20. G. Drazer and J. Koplik, Phys. Rev. E 62, 8076 (2000); C. DeW. Van Siclen, J. Geophys. Res. B 107, 2106 (2002); M. Madadi, C. DeW. Van Siclen, and M. Sahimi, J. Geophys. Res. (to be published).
21. G. Drazer and J. Koplik, Phys. Rev. E 62, 8076 (2000); C. DeW. Van Siclen, J. Geophys. Res. B 107, 2106 (2002); M. Madadi, C. DeW. Van Siclen, and M. Sahimi, J. Geophys. Res. (to be published).
22. G. Drazer and J. Koplik, Phys. Rev. E 62, 8076 (2000); C. DeW. Van Siclen, J. Geophys. Res. B 107, 2106 (2002); M. Madadi, C. DeW. Van Siclen, and M. Sahimi, J. Geophys. Res. (to be published).
23. P. M. Adler and J.-F. Thovert, Fractures and Fracture Networks (Kluwer, Boston, 1999).
24. T. Chelidze and Y. Gueguen, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 27, 223 (1990).
25. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992); Fractals and Disordered Systems, 2nd ed., edited by A. Bunde and S. Havlin (Springer, Berlin, 1996).
26. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992); Fractals and Disordered Systems, 2nd ed., edited by A. Bunde and S. Havlin (Springer, Berlin, 1996).
27. M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994).
28. R. Englman, Y. Gur, and Z. Jaeger, J. Appl. Mech. 50, 707 (1983).
29. P. C. Robinson, J. Phys. A 17, 2823 (1984).
30. K. Hestir and J. C. S. Long, J. Geophys. Res. B 95, 21 565 (1990).
31. I. Balberg, B. Berkowitz, and O. E. Drachsler, J. Geophys. Res. B 96, 10 015 (1991).
32. S. Mukhopadhyay and M. Sahimi, in Proceedings of the Society of Petroleum Engineers Western Regional Meeting, Paper SPE 24043, Bakersfield, CA (Society of Petroleum Engineers, Richardson, TX, 1992).
33. B. Berkowitz, Math. Geol. 27, 467 (1995).
34. O. Bour and P. Davy, Water Resour. Res. 33, 1567 (1997); 34, 2611 (1998).
35. O. Bour and P. Davy, Water Resour. Res. 33, 1567 (1997); 34, 2611 (1998).
36. N. Koudina, R. Gonzales Garcia, J.-F. Thovert, and P. M. Adler, Phys. Rev. E 57, 4466 (1998).
37. V. V. Mourzenko, J.-F. Thovert, and P. M. Adler, Phys. Rev. E 59, 4265 (1999); Transp. Porous Media 45, 89 (2001).
38. V. V. Mourzenko, J.-F. Thovert, and P. M. Adler, Phys. Rev. E 59, 4265 (1999); Transp. Porous Media 45, 89 (2001).
39. Q. Zau, S. Hou, S. Chen, and G. D. Doolen, J. Stat. Phys. 81, 35 (1995).
40. X. He and L.-S. Luo, Phys. Rev. E 56, 6811 (1997).
41. T. Inamuro, M. Yoshino, and F. Ogino, Phys. Fluids 7, 2928 (1995); L. Ginzbourg and P. M. Adler, J. Phys. II 4, 191 (1994).
42. T. Inamuro, M. Yoshino, and F. Ogino, Phys. Fluids 7, 2928 (1995); L. Ginzbourg and P. M. Adler, J. Phys. II 4, 191 (1994).
43. J. E. Gale, in Proceedings of the 28th U.S. Symposium on Rock Mechanics, Tucson, AZ 1987 (Balkema, Rotterdam, 1988), p. 1213.
44. V. V. Mourzenko, F. Yousefian, B. Kolbah, J.-F. Thovert, and P. M. Adler, Water Resour. Res. 38, 10.1029/2000WR000211 (2002).
45. M. Madadi and M. Sahimi (unpublished).
46. A. R. Mehrabi and M. Sahimi, Phys. Rev. Lett. 79, 4385 (1997); F. Ebrahimi and M. Sahimi, Physica A 316, 160 (2002), and references therein.
47. A. R. Mehrabi and M. Sahimi, Phys. Rev. Lett. 79, 4385 (1997); F. Ebrahimi and M. Sahimi, Physica A 316, 160 (2002), and references therein.
48. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992); C. Du, C. Satik, and Y. C. Yortsos, AIChE J. 42, 2392 (1996); M. Sahimi and S. Mukhopadhyay, Phys. Rev. E 54, 3870 (1996).
49. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992); C. Du, C. Satik, and Y. C. Yortsos, AIChE J. 42, 2392 (1996); M. Sahimi and S. Mukhopadhyay, Phys. Rev. E 54, 3870 (1996).
50. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992); C. Du, C. Satik, and Y. C. Yortsos, AIChE J. 42, 2392 (1996); M. Sahimi and S. Mukhopadhyay, Phys. Rev. E 54, 3870 (1996).