Amplitude of Biot's slow wave scattered by a spherical inclusion in a fluid-saturated poroelastic medium

Geophysical Journal International

Volumn 160, Issue 3, 2005, Pages 991-1005

  Ciz, Radim ^a   Gurevich, Boris ^b  

^a CSIRO   (Australia)

^b CURTIN UNIVERSITY   (Australia)

Author keywords

Biot's slow wave; Poroelastic media; Scattering; Sphere; Wave propagation

Indexed keywords

BIOT THEORY; INHOMOGENEITY; POROELASTICITY; SEISMIC ATTENUATION; WAVE PROPAGATION; WAVE SCATTERING;

EID: 15944404981     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2005.02556.x     Document Type: Article

References (24)

1. Abramowitz, M. & Stegun, I.A., 1965. Handbook of Mathematical Functions, Dover, New York, Chap. 10.
2. Berryman, J.G., 1985. Scattering by a spherical inhomogeneity in a fluid-saturated porous medium, J. math. Phys., 26, 1408-1419.
3. Berryman, J.G., 1986. Effective medium approximation for elastic constants of porous solids with microscopic heterogeneity, J. appl. Phys., 59, 1136-1140.
4. Biot, M.A., 1956a. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range, J. acoust. Soc. Am., 28, 168-178.
5. Biot, M.A., 1956b. Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range, J. acoust. Soc. Am., 28, 179-191.
6. Biot, M.A., 1962. Mechanics of deformation and acoustic propagation in porous media, J. appl. Phys., 33, 1482-1498.
7. Bourbié, T., Coussy, O. & Zinszner, B., 1987. Acoustics of Porous Media, Technip, Paris.
8. Deresiewicz, H. & Skalak, R., 1963. On uniqueness in dynamic poroelasticity, Bull. seism. Soc. Am., 53, 409-416.
9. Dutta, N.C. & Odé, H., 1983. Seismic reflections from a gas-water contact, Geophysics, 48, 148-162.
10. Gassmann, F., 1951. Elastic waves through a packing of spheres, Geophysics, 16, 673-685.
11. Geertsma, J. & Smit, D.C., 1961. Some aspects of elastic wave propagation in fluid-saturated porous solids, Geophysics, 26, 169-181.
12. Gelinsky, S., Shapiro, S.A., Muller, T.M. & Gurevich, B., 1998. Dynamic poroelasticity of thinly layered structures, Int. J. Solid. Struct. 35, 4739-4752.
13. Gurevich, B. & Lopatnikov, S.L., 1995. Velocity and attenuation of elastic waves in finely layered porous rocks, Geophys. J. Int., 121, 933-947.
14. Gurevich, B. & Schoenberg, M., 1999. Interface conditions for Biot's equations of poroelasticity, J. acoust. Soc. Am., 105, 2585-2589.
15. Gurevich, B., Sadovnichaja, A.P., Lopatnikov, S.L. & Shapiro, S.A., 1998. Scattering of a compressional wave in a poroelastic medium by an ellipsoidal inclusion, Geophys. J. Int., 133, 91-103.
16. Kargl, S. & Lim, R., 1993. A transition-matrix formalism for scattering in homogeneous saturated porous media, J. acoust. Soc. Am., 94, 1527-1550.
17. Korneev, V.A. & Johnson, R.L., 1993. Scattering of elastic waves by a spherical inclusion-I. Theory and numerical results, Geophys. J. Int. 115, 230-250.
18. Morochnik, V. & Bardet, J.P., 1996. Viscoelastic approximation of poroelastic media for wave scattering problems, Soil Dyn. Earthq. Eng., 15, 337-346.
19. Pride, S.R. & Berryman, J.G, 2003. Linear dynamics of double-porosity double-permeability materials, I. Governing equation and acoustic attenuation. Physical Review E, 68(3): 036603-1-036603-10.
20. White, J.E., 1983. Underground Sound: Application of Seismic Waves Elsevier, Amsterdam.
21. Yamakawa, N., 1962. Scattering and attenuation of elastic waves, Geophys. Mag., 31, 63-97.
22. Yumatov, A. Yu. & Markov, M.G., 1984. On the velocity and attenuation of an elastic compressional wave in a porous cracked medium, Phys. solid Earth, 20, 82-89.
23. Ying, C.T. & Truell, R., 1956. Scattering of a plane longitudinal waves by a spherical obstacle in an isotropically elastic solid, J. appl. Phys., 27, 1086-1096.
24. Zimmerman, C. & Stern, M., 1993. Scattering of plane compressional waves by spherical inclusions in a poroelastic medium, J. acoust. Soc. Am. 94, 527-536.