The effective model of a stratified solid-fluid medium as a special case of the biot model

Journal of Mathematical Sciences

Volumn 91, Issue 2, 1998, Pages 2812-2827

  Molotkov, L A ^a   Bakulin, A V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649084963     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02433997     Document Type: Article

References (15)

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2. M. A. Biot, "Mechanics of deformation and acoustic propagation in porous media," J. Appl. Phys., 33, No. 4, 1482-1498 (1962).
3. L. A. Molotkov, "On the equivalence of layered periodic and transversally isotropic media," Zap. Nauchn. Semin. LOMI, 89, 219-233 (1979).
4. L. A. Molotkov, Matrix Method in the Theory of Wave Propagation in Layered Elastic and Fluid Media [in Russian], Nauka, Leningrad (1984).
5. L. A. Molotkov, "A new method for deriving averaged effective models of periodic media," Zap. Nauchn. Semin. LOMI, 195, 82-102 (1991).
6. O. Coussy and T. Bourbie, "Propagation des ondes acoustiques dans les milieux poreux saturés," Révue de l'Inst. Franç. Pétrole, 39, No. 1, 47-66 (1984).
7. M. A. Biot and D. G. Willis, "The elastic coefficients of the theory of consolidation," J. Appl. Mech., No. 24, 594-601 (1957).
8. L. A. Molotkov and A. E. Khilo, "Investigation of monophase and multiphase effective models describing periodic systems," Zap. Nauchn. Semin. LOMI, 140, 105-122 (1984).
9. L. A. Molotkov, "On the effective model describing stratified periodic elastic media with slipping contacts," Zap. Nauchn. Semin. LOMI, 210, 192-212 (1994).
10. L. A. Molotkov, "Peculiarities of wave propagation in layered models of fractured media," Zap. Nauchn. Semin. LOMI, 173, 123-133 (1988).
11. M. Schoenberg and P. Sen, "Properties of a periodically stratified acoustic half-space and its relation to a Biot fluid," J. Acoust. Soc. Am., 73, No. 1, 61-67 (1986).
12. M. Schoenberg, "Wave propagation in alternating fluid and solid layers," Wave Motion, 6, 303-320 (1984).
13. T. J. Plona, K. W. Winkler, and M. Schoenberg, "Acoustic waves in alternating fluid/solid layers," J. Acoust. Soc. Am., 81, No. 5, 1227-1234 (1987).
14. Ph. Leclaire and Cohen-Tenoudji, "Extensions of the Biot theory of wave propagation to frozen porous media," J. Acoust. Soc. Am., 96, No. 6, 3753-3768 (1992).
15. M. Camarasa, "Contribution of the Biot theory of the acoustic wave propagation in sediments saturated with fluid's mixture: Generalized Biot's theory," Acta Acoustica, 1, 125 (1994).