Development of optimal models of porous media by combining static and dynamic data: The porosity distribution

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

Volumn 74, Issue 2, 2006, Pages

  Hamzehpour, Hossein ^a   Sahimi, Muhammad ^b  

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

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

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION THEORY; MECHANICAL PERMEABILITY; POROSITY; SEISMIC WAVES; SIMULATED ANNEALING; WAVE EQUATIONS;

COMPUTATIONAL EFFICIENCY; CORRELATION FUNCTION; OPTIMAL MODELS; SPATIAL DISTRIBUTION;

POROUS MATERIALS;

EID: 33748261444     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.026308     Document Type: Article

References (62)

1. P. M. Adler, Porous Media: Geometry and Transport (Butterworth-Heinemann, Boston, 1992);
2. P. M. Adler and J.-F. Thovert, Fractures and Fracture Networks (Kluwer, Dordrecht, 1999).
3. M. Sahimi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.1393 65, 1393 (1993);
4. M. Sahimi, Flow and Transport in Porous Media and Fractured Rock (VCH, Weinheim, Germany, 1995).
5. S. Torquato, Random Heterogeneous Materials (Springer, New York, 2002).
6. M. Sahimi, Heterogeneous Materials I (Springer, New York, 2003).
7. J. W. Cahn, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1695731 42, 93 (1965).
8. M. Joshi, Ph.D. thesis, University of Kansas, Lawrence, 1974 (unpublished).
9. J. A. Quiblier, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(84)90010-9 98, 84 (1984).
10. P. M. Adler, C. G. Jacquin, and J. A. Quiblier, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/0301-9322(90)90025-E 16, 691 (1990);
11. P. M. Adler, C. G. Jacquin, and J. F. Thovert, Water Resour. Res. WRERAQ 0043-1397 10.1029/92WR00059 28, 1571 (1992);
12. J. Poutet, D. Manzoni, F. Hage-Chehade, C. G. Jacquin, M. J. Boutéca, J. F. Thovert, and P. M. Adler, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. IJRMA2 0148-9062 10.1016/0148-9062(95)00080-1 33, 409 (1996);
13. J.-F. Thovert, F. Yousefian, P. Spanne, C. G. Jacquin, and P. M. Adler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061307 63, 061307 (2001).
14. N. F. Berk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2718 58, 2718 (1987);
15. N. F. Berk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.5069 44, 5069 (1991).
16. M. Teubner, Europhys. Lett. EULEEJ 0295-5075 14, 403 (1991).
17. A. P. Roberts and M. Teubner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.4141 51, 4141 (1995);
18. A. P. Roberts and M. A. Knackstedt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.2313 54, 2313 (1996).
19. M. D. Rintoul and S. Torquato, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.1996.4675 186, 467 (1997).
20. C. L. Y. Yeong and S. Torquato, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.495 57, 495 (1997);
21. C. L. Y. Yeong and S. Torquato, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.224 58, 224 (1998).
22. C. Manwart, S. Torquato, and R. Hilfer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.893 62, 893 (2000).
23. S. Kirkpatrick, C. D. Gellat, Jr., and M. P. Vecchi, Science SCIEAS 0036-8075 220, 671 (1983).
24. R. W. Mair, G. P. Wong, D. Hoffmann, M. D. Hürlimann, S. Patz, L. M. Schwartz, and R. L. Walsworth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3324 83, 3324 (1999).
25. See, for example, M. Sen and P. L. Stoffa, Global Optimization Methods in Geophysical Inversion (Elsevier, Amsterdam, 1995).
26. H. H. Hardy and R. A. Beier, Fractals in Reservoir Engineering (World Scientific, Singapore, 1994).
27. M. K. Sen and P. L. Stoffa, Geophysics GPYSA7 0016-8033 10.1190/1.1442973 56, 1624 (1991);
28. X.-Q. Ma, Geophysics GPYSA7 0016-8033 10.1190/1.1527087 67, 1877 (2000);
29. K. P. Dorrington and C. A. Link, Geophysics GPYSA7 0016-8033 10.1190/1.1649389 69, 212 (2004);
30. M. Bosch, Geophysics GPYSA7 0016-8033 10.1190/1.1801944 69, 1272 (2004).
31. C. E. Romero and J. N. Carter, J. Pet. Sci. Eng. JPSEE6 0920-4105 10.1016/S0920-4105(01)00124-3 31, 113 (2001).
32. Y. Luo and G. T. Schuster, Geophysics GPYSA7 0016-8033 10.1190/1.1443081 56, 645 (1991).
33. D. Sornette, Acustica ACUSAY 0001-7884 67, 199 (1989);
34. D. Sornette, Acustica ACUSAY 0001-7884 67, 251 (1989);
35. D. Sornette, Acustica ACUSAY 0001-7884 68, 15 (1989).
36. A. Ishimaru, Wave Propagation and Scattering in Random Media (Oxford University Press, Oxford, England, 1997);
37. N. Bleistein, J. K. Cohen, and J. W. Stockwell, Jr., Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion (Springer, New York, 2001).
38. M. A. Knackstedt, C. H. Arns, and W. V. Pinczewski, Geophysics GPYSA7 0016-8033 10.1190/1.1635035 68, 1822 (2003).
39. M. Krief, J. Garat, J. Stellingwerff, and J. Ventre, Log Analyst ZZZZZZ 0024-581X 31, 355 (1990).
40. M. A. Dablain, Geophysics GPYSA7 0016-8033 10.1190/1.1442040 51, 54 (1986);
41. G. Kneib and C. Kerner, Geophysics GPYSA7 0016-8033 10.1190/1.1443440 58, 576 (1993).
42. F. Shahbazi, A. Bahraminasab, S. M. Vaez Allaei, M. Sahimi, and M. R. Rahimi Tabar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.165505 94, 165505 (2005);
43. A. Bahraminasab, S. M. Vaez Allaei, F. Shahbazi, M. Sahimi, and M. R. Rahimi Tabar, Phys. Rev. B PRBMDO 0163-1829 (to be published).
44. M. Sahimi and S. E. Tajer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046301 71, 046301 (2005);
45. S. M. Vaez Allaei and M. Sahimi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.075507 96, 075507 (2006).
46. J. L. Jensen, L. W. Lake, P. W. M. Corbett, and D. J. Goggin, Statistics for Petroleum Engineers and Geoscientists, 2nd ed. (Elsevier, Amsterdam, 2000).
47. C. V. Deutsch and A. G. Journel, Geostatistical Software Library and User's Guide, 2nd ed. (Oxford University Press, New York, 1998).
48. H. Hamzehpour and M. Sahimi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.056121 73, 056121 (2006).
49. H. Hamzehpour, Ph.D. thesis, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran, 2006 (unpublished).
50. F. Ebrahimi and M. Sahimi, Transp. Porous Media TPMEEI 0169-3913 10.1023/B:TIPM.0000032742.05517.06 57, 75 (2004).
51. X. Cai and A. Odegard, in Proceedings of the 2nd IEEE International Conference on Cluster Computing, Germany, 2000 (unpublished), p. 185;
52. T. Bohlen, Comput. Geosci. CGEODT 0098-3004 10.1016/S0098-3004(02)00006-7 28, 887 (2002).
53. S. Phadke, D. Bhardwaj, and S. Yerneni, in Proceedings of the Conference and Exposition on Petroleum Geophysics, San Antonio, Texas, 2000, Society of Petroleum Geologists (SPG 2000) (unpublished), p. 168;
54. N. L. Armstrong-Crews, in Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, Houston, Texas (PDPTA) 2003 (unpublished), p. 1946.
55. D. R. Greening, Physica D PDNPDT 0167-2789 42, 293 (1990);
56. D. Janaki Ram, T. H. Sreenivas, and K. Ganapathy, J. Parallel Distrib. Comput. JPDCER 0743-7315 37, 207 (1996);
57. C. Meise, Stochastic Proc. Appl. STOPB7 0304-4149 76, 99 (1998);
58. J. P. B. Leite and B. H. V. Topping, Comput. Struct. CMSTCJ 0045-7949 10.1016/S0045-7949(98)00255-7 73, 545 (1999);
59. A. Bevilacqua, J. Parallel Distrib. Comput. JPDCER 0743-7315 62, 1548 (2002);
60. H. Ye and Z. Lin, Eur. J. Oper. Res. EJORDT 0377-2217 173, 59 (2006).
61. R. Sanchez, T. T. Tsotsis, and M. Sahimi, Chem. Eng. Sci. (to be published).
62. R. Sanchez, M. Hashemi, T. T. Tsotsis, and M. Sahimi, Chem. Eng. Sci. CESCAC 0009-2509 61, 4750 (2006).