Generation of long-range correlations in large systems as an optimization problem

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

Volumn 73, Issue 5, 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

ANISOTROPY; COMPUTER SIMULATION; CORRELATION METHODS; FLOW OF FLUIDS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROUS MATERIALS;

D -DIMENSIONAL ARRAY; LONG-RANGE CORRELATIONS; OPTIMAL MODEL;

LARGE SCALE SYSTEMS;

EID: 33646812159     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.056121     Document Type: Article

References (28)

1. P. M. Adler and J.-F. Thovert, Fractures and Fracture Networks (Kluwer, Dordrecht, 1999).
2. H. H. Hardy and R. A. Beier, Fractals in Reservoir Engineering (World Scientific, Singapore, 1994).
3. M. Sahimi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.1393 65, 1393 (1993);
4. Flow and Transport in Porous Media and Fractured Rock, 2nd ed. (VCH, Weinheim, Germany, 2006).
5. M. Sahimi and S. E. Tajer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046301 71, 046301 (2005).
6. R. Friedrich and J. Peinke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.863 78, 863 (1997);
7. J. Davoudi and M. R. Tabar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1680 82, 1680 (1999);
8. C. Renner, J. Peinke, and R. Friedrich, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112001005456 433, 383 (2001).
9. J. B. Bassingthwaighte, L. S. Liebovitch, and B. J. West, Fractal Physiology (Oxford University Press, New York, 1994);
10. C.-K. Peng, J. Mietus, J. M. Hausdorff, S. Havlin, H. E. Stanley, and A. L. Goldberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1343 70, 1343 (1993);
11. J. M. Hausdorff, P. L. Purdon, C.-K. Peng, Z. Ladin, J. Y. Wei, and A. L. Goldberger, J. Appl. Physiol. JAPHEV 8750-7587 80, 1448 (1996);
12. P. Bernaola-Galvan, P. Ch. Ivanov, L. A. Nunes Amaral, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.168105 87, 168105 (2001).
13. See, however, F. Ghasemi, J. Peinke, M. Sahimi, and M. R. Rahimi Tabar, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00339-4 47, 411 (2005);
14. F. Ghasemi, J. Peinke, M. R. Rahimi Tabar, and M. Sahimi, Int. J. Mod. Phys. C IJMPEO 0129-1831 17, 1 (2006);
15. M. R. Rahimi Tabar, Comput. Sci. Eng. CSENFA 1521-9615 10.1109/MCSE.2006.29 8, 54 (2006), for a different view point.
16. H. A. Makse, S. Havlin, M. Schwartz, and H. E. Stanley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.5445 53, 5445 (1996).
17. A. R. Mehrabi, H. Rassamdana, and M. Sahimi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.712 56, 712 (1997).
18. N.-N. Pang, Y.-K. Yu, and T. Halpin-Healy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3224 52, 3224 (1995).
19. R. F. Voss, in Fundamental Algorithms for Computer Graphics, edited by, R. A. Earnshaw, NATO ASI Series, Vol. 17 (Springer-Verlag, Heidelberg, 1985), p. 805;
20. S. Lu, F. J. Molz, and H.-H. Liu, Comput. Geosci. CGEODT 0098-3004 29, 15 (2003).
21. M. Ausloos and D. H. Berman, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 400, 331 (1985);
22. W. Yan and K. Komvopoulos, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.368536 84, 3617 (1998).
23. 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).
24. S. Kirkpatrick, C. D. Gellat Jr., and M. P. Vecchi, Science SCIEAS 0036-8075 220, 671 (1983).
25. See, for example, M. Sen and P. L. Stoffa, Global Optimization Methods in Geophysical Inversion (Elsevier, Amsterdam, 1995);
26. F. D. Day-Lewis, P. A. Hsieh, and S. M. Gorelick, Water Resour. Res. WRERAQ 0043-1397 36, 17071721 (2000);
27. C. E. Romero and J. N. Carter, J. Pet. Sci. Eng. JPSEE6 0920-4105 31, 113 (2001).
28. H. Hamzehpour and M. Sahimi (unpublished).