Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves

Journal of the Acoustical Society of America

Volumn 117, Issue 5, 2005, Pages 2732-2741

  Müller, Tobias M ^a,b   Gurevich, Boris ^a  

^a CURTIN UNIVERSITY   (Australia)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATTENUATION; CORRELATION METHODS; ELASTIC WAVES; POROUS MATERIALS; RANDOM PROCESSES; RELAXATION PROCESSES; STATISTICAL METHODS;

ASYMPTOTES; POROELASTICITY; RANDOM MEDIA; WAVE-INDUCED FLUID FLOW;

FLOW OF FLUIDS;

ACOUSTICS; ARTICLE; CORRELATION FUNCTION; DISPERSION; LIQUID; POROSITY; PRIORITY JOURNAL; SOLID; SOUND TRANSMISSION;

ELASTICITY; MODELS, THEORETICAL; POROSITY; TEMPERATURE;

EID: 18744405738     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1894792     Document Type: Article

References (28)

1. W. F. I. Murphy, J. N. Roberts, D. Yale, and K. W. Winkler, "Centimeter scale heterogeneities and microstratification in sedimentary rocks," Geophys. Res. Lett. 11, 697-700 (1984).
2. T. Cadoret, G. Mavko, and B. Zinszner, "Fluid distribution effect on sonic attenuation in partially saturated limestones," Geophysics 63, 154-160 (1998).
3. J. E. White, Underground Sound: Application of Seismic Waves (Elsevier, Amsterdam, 1983).
4. 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(10), 654-659 (1975).
5. A. N. Norris, "Low-frequency dispersion and attenuation in partially saturated rocks," J. Acoust. Soc. Am. 94, 359-370 (1993).
6. B. Gurevich and S. L. Lopatnikov, "Velocity and attenuation of elastic waves in finely layered porous rocks," Geophys. J. Int. 121, 933-947 (1995).
7. S. Gelinsky, S. A. Shapiro, T. M. Müller, and B. Gurevich, "Dynamic poroelasticity of thinly layered structures," Int. J. Solids Struct. 35, 4739-4752 (1998).
8. D. L. Johnson, "Theory of frequency dependent acoustics in patchy-saturated porous media," J. Acoust. Soc. Am. 110, 682-694 (2001).
9. 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).
10. S. R. Pride, J. G. Berryman, and J. M. Harris, "Seismic attenuation due to wave-induced flow," J. Geophys. Res. 109(B1), B01201 (2004).
11. T. M. Müller and B. Gurevich, "A first-order statistical smoothing approximation for the coherent wave field in porous random media," J. Acoust. Soc. Am. 117, 1796-1805 (2005).
12. F. C. Karal and J. B. Keller, "Elastic, electromagnetic and other waves in random media," J. Math. Phys. 5, 537-547 (1964).
13. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
14. K. Aki and P. G. Richards, Quantitative Seismology: Theory and Methods (Freeman, New York, 1980).
15. J. Mobley, K. Kendall, M. Hughes, C. Hall, J. Marsh, G. Brandenburger, and J. Miller, "Kramers-Kronig relations applied to finite bandwidth data from suspensions of encapsulated microbubbles," J. Acoust. Soc. Am. 108, 2091-2106 (2000).
16. L. Klimes, "Correlation functions of random media," Pure Appl. Geophys. 159, 1811-1831 (2002).
17. S. Gelinsky and S. A. Shapiro, "Poroelastic Backus-averaging for anisotropic, layered fluid and gas saturated sediments," Geophysics 62, 1867-1878 (1997).
18. 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).
19. M. Sams, J. P. Neep, M. H. Worthington, and M. S. King, "The measurement of velocity dispersion and frequency-dependent intrinsic attenuation in sedimentary rocks," Geophysics 62, 1456-1464 (1997).
20. H. Sato, "Amplitude attenuation of impulsive waves in random media based on travel time corrected mean wave formalsim," J. Acoust. Soc. Am. 71, 559-564 (1982).
21. T. M. Müller, S. A. Shapiro, and C. M. A. Sick, "Most probable ballistic waves in random media: A weak-fluctuation approximation and numerical results," Waves Random Media 12, 223-246 (2002).
22. T. M. Müller and B. Gurevich, "1-D random patchy saturation model for velocity and attenuation in porous rocks," Geophysics 69, 1166-1172 (2004).
23. M. A. Biot, "Thermoelasticity and irreversible thermodynamics," J. Appl. Phys. 27, 240-253 (1956).
24. A. N. Norris, "On the correspondence between poroelasticity and thermoelasticity," J. Appl. Phys. 71, 1138-1141 (1992).
25. B. H. Armstrong, "Models for thermoelastic attenuation of waves in heterogeneous solids," Geophysics 49, 1032-1040 (1984).
26. T. D. Shermergor and V. G. Baryshnikov, "Description of intercrystalline thermoelastic internal friction using the von Karman correlation function," Sov. Phys. Solid State 10, 1709-1711 (1969).
27. R. L. Gibson and M. N. Toksöz, "Viscous attenuation of acoustic waves in suspensions," J. Acoust. Soc. Am. 85, 1925-1934 (1989).
28. R. J. Urick, "The absorption of sound in suspensions of irregular particles," J. Acoust. Soc. Am. 20, 283-289 (1948).