A first-order statistical smoothing approximation for the coherent wave field in random porous random media

Journal of the Acoustical Society of America

Volumn 117, Issue 4 I, 2005, Pages 1796-1805

  Müller, Tobias M ^a   Gurevich, Boris ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC DISPERSION; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE SCATTERING; ATTENUATION; ELASTIC MODULI; FLOW OF FLUIDS; POROUS MATERIALS;

BIOT THEORY; COMPRESSIONAL WAVES; WAVE NUMBER; WAVE-INDUCED FLOW;

ACOUSTIC WAVE EFFECTS;

ACCURACY; ARTICLE; CORRELATION ANALYSIS; DISPERSION; DYNAMICS; ELASTICITY; FLUID FLOW; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; STATISTICAL ANALYSIS; WAVEFORM;

EID: 17644410796     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1871754     Document Type: Article

References (29)

1. G. Mavko and A. Nur, "Melt squirt in aesthenosphere," J. Geophys. Res. 80, 1444-1448 (1975).
2. W. F. I. Murphy, K. W. Winkler, and R. L. Kleinberg, "Acoustic relaxation in sedimentary rocks: Dependence on grain contacts and fluid saturation," Geophysics 51, 757-766 (1986).
3. T. Jones, "Pore fluids and frequency dependent wave propagation in rocks," Geophysics 51, 1939-1953 (1986).
4. J. E. White, Underground Sound: Application of Seismic Waves (Elsevier, Amsterdam, 1983).
5. W. F. Murphy, "Effects of partial water saturation on attenuation in Massilon sandstone and Vycor porous glass," J. Acoust. Soc. Am. 71, 1458-1468 (1982).
6. G. A. Gist, "Interpreting laboratory velocity measurements in partially gas-saturated rocks," Geophysics 59, 1100-1109 (1994).
7. R. Knight, J. Dvorkin, and A. Nur, "Acoustic signatures of partial saturation," Geophysics 63, 132-138 (1998).
8. M. A. Biot, "Mechanics of deformation and acoustic propagation in porous media," J. Appl. Phys. 33, 1482-1498 (1962).
9. J. E. White, "Computed seismic speeds and attenuation in rocks with partial gas saturation," Geophysics 40, 224-232 (1975).
10. J. E. White, N. G. Mikhaylova, and F. M. Lyakhovitsky, "Low-frequency seismic waves in fluid saturated layered rocks," Izv., Acad. Sci., USSR, Phys. Solid Earth 11, 654-659 (1975).
11. N. C. Dutta and H. Ode, "Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White model) - Part I: Biot theory," Geophysics 44, 1777-1788 (1979).
12. S. R. Pride and J. G. Berryman, "Linear dynamics of double-porosity dual-permeability materials I. governing equations and acoustic attenuation," Phys. Rev. E 68, 036603 (2003).
13. S. R. Pride, J. G. Berryman, and J. M. Harris, "Seismic attenuation due to wave-induced flow," J. Geophys. Res. 109, B01201 (2004).
14. D. L. Johnson, "Theory of frequency dependent acoustics in patchy-saturated porous media," J. Acoust. Soc. Am. 110, 682-694 (2001).
15. S. L. Lopatnikov and B. Gurevich, "Transformational mechanism of elastic wave attenuation in saturated porous media," Izv., Acad. Sci., USSR, Phys. Solid Earth 24, 151-154 (1988).
16. S. M. Rytov, Y. A. Kravtsov, and V. I. Tatarskii, "Wave propagation through random media," Vol. 4 of Principles of Statistical Radiophysics (Springer-Verlag, Berlin, 1989).
17. B. Gurevich and S. L. Lopatnikov, "Velocity and attenuation of elastic waves in finely layered porous rocks," Geophys. J. Int. 121, 933-947 (1995).
18. A. N. Norris, "Low-frequency dispersion and attenuation in partially saturated rocks," J. Acoust. Soc. Am. 94, 359-370 (1993).
19. B. Gurevich, A. P. Sadovnichaja, S. L. Lopatnikov, and S. A. Shapiro, "Scattering of a compressional wave in a poroelastic medium by an ellipsoidal inclusion," Geophys. J. Int. 133, 91-103 (1998).
20. J. B. Keller, "Stochastic equations and wave propagation in random media," Proc. Symp. Appl. Math. 16, 145-170 (1964).
21. F. C. Karal and J. B. Keller, "Elastic, electromagnetic and other waves in random media," J. Math. Phys. 5, 537-547 (1964).
22. J. J. McCoy, "On the dynamic response of disordered composites," J. Appl. Mech. 40, 511-517 (1973).
23. N. Gold, S. A. Shapiro, S. Bojinski, and T. M. Müller, "An approach to upscaling for seismic waves in statistically isotropic heterogeneous elastic media," Geophysics 65, 1837-1850 (2000).
24. T. M. Müller and B. Gurevich, "Wave-induced fluid flow in porous random media: Attenuation and dispersion of seismic waves," J. Acoust. Soc. Am., accepted.
25. S. R. Pride and M. W. Haartsen, "Electroseismic wave properties," J. Acoust. Soc. Am. 100, 1301-1315 (1996).
26. A. N. Norris, "Radiation from a point source and scattering theory in a fluid-saturated porous solid," J. Acoust. Soc. Am. 77, 2012-2023 (1985).
27. B. Gurevich and S. L. Lopatnikov, "Attenuation of longitudinal waves in a saturated porous medium with random inhomogeneities," Transactions (Doklady) of the USSR Academy of Sciences Earth Sci. Sections 281, 47-50 (1985).
28. S. Gelinsky and S. A. Shapiro, "Poroelastic Backus-averaging for anisotropic, layered fluid and gas saturated sediments," Geophysics 62, 1867-1878 (1997).
29. J. E. Gubernatis, E. Domany, and J. A. Krumhansl, "Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials," J. Appl. Phys. 48, 2804-2811 (1977).