Linear dynamics of double-porosity dual-permeability materials. I. Governing equations and acoustic attenuation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 68, Issue 3, 2003, Pages 10-

  Pride, Steven R ^a   Berryman, James G ^b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84990310027     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.036603     Document Type: Article

References (45)

1. M.A. Biot, J. Acoust. Soc. Am. 28, 168 (1956).
2. M.A. Biot, J. Appl. Phys. 33, 1482 (1962).
3. J.G. Berryman and H.F. Wang, Int. J. Rock Mech. Min. Sci. 37, 63 (2000).
4. G.I. Barenblatt and Y.P. Zheltov, Dokl. Akad. Nauk (SSSR) 132, 545 (1960) [Sov. Phys. Dokl. 5, 522 (1960)].
5. J.E. Warren and P.J. Root, Soc. Pet. Eng. J. 3, 245 (1963).
6. E.C. Aifantis, Dev. Mech. 8, 209 (1977).
7. R.K. Wilson and E.C. Aifantis, Int. J. Eng. Sci. 20, 1009 (1982).
8. R.K. Wilson and E.C. Aifantis, Int. J. Eng. Sci. 22, 1209 (1984).
9. M.Y. Khaled, D.E. Beskos, and E.C. Aifantis, Int. J. Numer. Analyt. Meth. Geomech. 8, 101 (1984).
10. K. Pruess and T.N. Narasimhan, Soc. Pet. Eng. J. 25, 14 (1985).
11. D.E. Beskos and E.C. Aifantis, Int. J. Eng. Sci. 24, 1697 (1986).
12. S. Whitaker, Transp. Porous Media 1, 127 (1986).
13. A. Bourgeat, M. Quintard, and S. Whitaker, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 306, 463 (1988).
14. D.E. Beskos, ASCE J. Eng. Mech. 115, 983 (1989).
15. C.C. Mei and J.-L. Auriault, Proc. R. Soc. London, Ser. A 426, 391 (1989).
16. T. Arbogast, J. Douglas, Jr., and U. Hornung, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 21, 823 (1990).
17. D. Elsworth and M. Bai, in Mechanics of Jointed and Faulted Rock, edited by Roesmanith (Balkema, Rotterdam, 1990), pp. 681–688.
18. D. Elsworth and M. Bai, J. Geotech. Eng. 118, 107 (1992).
19. M. Bai, D. Elsworth, and J.-C. Roegiers, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 30, 1185 (1993).
20. J.-L. Auriault and C. Boutin, Transp. Porous Media 14, 143 (1994).
21. J.G. Berryman and H.F. Wang, J. Geophys. Res. 100, 24 611 (1995).
22. K. Tuncay and M.Y. Corapciaglu, Water Resour. Res. 31, 3103 (1995).
23. K. Tuncay and M.Y. Corapcioglu, Transp. Porous Media 23, 237 (1996).
24. P. Royer, J.-L. Auriault, and C. Boutin, J. Pet. Sci. Eng. 16, 187 (1996).
25. H.F. Wang and J.G. Berryman, Water Resour. Res. 32, 3621 (1996).
26. K.N. Moutsopoulos, I.E. Eleftheriadis, and E.C. Aifantis, Mech. Res. Commun. 23, 577 (1996).
27. K.N. Moutsopoulos, A.A. Konstantinidis, I.D. Meladiotis, C.D. Tzimopoulos, and E.C. Aifantis, Transp. Porous Media 42, 265 (2001).
28. J.G. Berryman and S.R. Pride, J. Geophys. Res. 107 (B3), 10.1029/2000JB000108 (March 28, 2002).
29. J.E. White, N.G. Mikhaylova, and F.M. Lyakhovitsky, Izv., Acad. Sci., USSR, Phys. Solid Earth 11, 654 (1975).
30. A.N. Norris, J. Acoust. Soc. Am. 94, 359 (1993).
31. B. Gurevich and S.L. Lopatnikov, Geophys. J. Int. 121, 933 (1995).
32. S. Gelinksy and S.A. Shapiro, Geophys. J. Int. 128, F1 (1997).
33. S.R. Pride and J.G. Berryman, Phys. Rev. E 68, 036604 (2003), following paper.
34. D.L. Johnson, J. Koplik, and R. Dashen, J. Fluid Mech. 176, 379 (1987).
35. A.W. Skempton, Geotechnica 4, 143 (1954).
36. M.A. Biot and D.G. Willis, J. Appl. Mech. 24, 594 (1957).
37. F. Gassmann, Veirteljahrsschrift der Naturforschenden Gesellschaft Zürich 96, 1 (1951).
38. H. Deresiewicz and R. Skalak, Bull. Seismol. Soc. Am. 53, 783 (1963).
39. S.R. Pride and M.W. Haartsen, J. Acoust. Soc. Am. 100, 1301 (1996).
40. S.R. Pride and J.G. Berryman, J. Mech. Phys. Solids 46, 719 (1998).
41. S.R. deGroot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984).
42. J.C. Slattery, AICHe J. 13, 1066 (1967).
43. J.G. Berryman and G.W. Milton, Geophysics 56, 1950 (1991).
44. G.W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, UK, 2002).
45. J.G. Berryman and H.F. Wang, Phys. Rev. E 64, 011303 (2001).