An effective model of a fractured medium with fractures modeled by the surfaces of discontinuity of displacements

Journal of Mathematical Sciences

Volumn 86, Issue 3, 1997, Pages 2735-2746

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

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001062617     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02355164     Document Type: Article

References (20)

1. J. A. Hudson, "Overall properties of heterogeneous materials," Geophys. J. Int., 107, 505-511 (1991).
2. L. A. Molotkov, "The equivalence of periodically stratified and transversally isotropic media," Zap. Nauchn. Semin. LOMI, 89, 219-233 (1979).
3. L. A. Molotkov, The Matrix Method in the Theory of Wave Propagation in Layered Elastic and Fluid Media [in Russian], Leningrad (1984).
4. L. A. Molotkov, "On a new approach to deriving the equations of an averaged effective model of periodic media," Zap. Nauchn. Semin. LOMI, 195 82-102 (1991).
5. L. A. Molotkov and A. E. Khilo, "Investigation of single- and multiphase effective models describing periodic media," Zap. Nauchn. Semin. LOMI, 140 105-122 (1984).
6. L. A. Molotkov, "On an effective model describing a layered periodic elastic medium with slide contacts on the interfaces," Zap. Nauchn. Semin. POMI, 210, 192-212 (1994).
7. L. A. Molotkov, "On pecularities of wave propagation in layered models of fractured media," Zap. Nauchn. Semin. LOMI, 173, 123-133 (1988).
8. M. Schoenberg, "Reflection of elastic waves from periodically stratified media with interfacial slip," Geophys. Prospecting, 31, 265-292 (1983).
9. M. Schoenberg, "Elastic wave behavior across linear slip interfaces," J. Acoust. Soc. Am., 68, No. 5, 1516-1521 (1980).
10. C.-J. Hsu and M. Schoenberg, "Elastic waves through a simulated fractured medium," Geophysics, 58, No. 7, 964-977 (1993).
11. M. Schoenberg and J. Douma, "Elastic wave propagation in media with parallel fractures and aligned cracks," Geophys. Prospecting, 36, 571-590 (1988).
12. M. Schoenberg and F. Muir, "A calculus for finely layered anisotropic media," Geophysics, 54, No. 5, 581-589 (1989).
13. J. A. Hudson, "Wave speeds and attenuation of elastic waves in material containing cracks," Geophys. J. Royal Astr. Soc., 64, 133-150 (1981).
14. F. R. Gantmacher, Theory of Matrices [in Russian], Moscow (1967).
15. L. A. Molotkov, "An effective model of an elastic anisotropic medium with fluid-filled fractures," in: Problems in the Dynamic Theory of Propagation of Seismic Waves [in Russian], Vol. 29 (1989), pp. 14-29.
16. L. A. Molotkov and A. E. Khilo, "Effective media for periodic anisotropic systems," Zap. Nauchn. Semin. LOMI, 128, 130-138 (1983).
17. L. A. Molotkov and A. E. Khilo, "Effective models of layered media with linear contacts of the general type," Zap. Nauchn. Semin. LOMI, 156, 148-157 (1986).
18. E. Berg, J. A. Hood, and G. J. Fryer, "Reduction of the general fracture compliance matrix Z to only five independent elements," Geophys. J. Int., 107, 703-707 (1991).
19. L. J. Pyrak-Nolte, L. R. Myer, and N. G. W. Cook, "Transmission of seismic waves across single natural fractures," J. Geophys. Res., 95, No. B6, 8617-8638 (1990).
20. R. H. Tatham, M. D. Matthews, K. K. Sekharan, C. J. Wade, and L. M. Liro, "A physical model study of shear-wave splitting and fracture intensity," Geophisycs, 57, No. 4, 647-652 (1992).