1887
Volume 69, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

An attenuating wave field in an anisotropic poroviscoelastic medium is represented through the three‐dimensional inhomogeneous propagation of four bulk waves. Propagation of each wave is governed by a complex slowness vector, which specifies its phase direction, phase velocity and coefficients for homogeneous/inhomogeneous attenuation. Partially opened surface pores restrict the seepage of pore fluid at the boundary. A generalized reflection phenomenon is illustrated for incidence of inhomogeneous waves at this boundary. Horizontal slowness of this incidence derives the slowness vectors of four inhomogeneous waves reflected into the medium. Slowness vectors and polarizations of incident and reflected waves are used to calculate the amplitudes, phase shifts and energy fluxes of reflected waves in comparison to the incident wave. A particular example illustrates the numerical implementation of the derived mathematical model for anisotropic poroviscoelastic reflection.

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2021-06-14
2021-07-29
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References

  1. Achenbach, J.D. (1973) Wave Propagation in Elastic Solids. Amsterdam: North‐Holland.
    [Google Scholar]
  2. Berryman, J.G. (1980) Confirmation of Biot's theory. Applied Physics Letters, 37, 382–384.
    [Google Scholar]
  3. Biot, M.A. (1956) Theory of propagation of elastic waves in a fluid‐saturated porous solid. I. Low frequency range, II. Higher frequency range. Journal of the Acoustical Society of America, 28, 168–191.
    [Google Scholar]
  4. Biot, M.A. (1962) Generalized theory of acoustic propagation in porous dissipative media. Journal of the Acoustical Society of America, 34, 1254–1264.
    [Google Scholar]
  5. Carcione, J.M. (2007) Wave Fields in Real Media. Amsterdam: Elsevier.
    [Google Scholar]
  6. Helbig, K. (1994) Fundamentals of Anisotropy for Exploration Seismics. Elsevier Science Serials. University of California.
    [Google Scholar]
  7. Krebes, E.S. (1983) The viscoelastic reflection/transmission problem two special cases. Bulletin of the Seismological Society of America, 73, 1673–1683.
    [Google Scholar]
  8. Lakes, R., Yoon, H.S. and Katz, J.L. (1983) Slow compressional wave propagation in wet human and bovine cortical bone. Science, 220, 513–515.
    [Google Scholar]
  9. Plona, T.J. (1980) Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies. Applied Physics Letters, 36, 259–261.
    [Google Scholar]
  10. Plona, T.J. and Johnson, D.L. (1984) Acoustic properties of porous systems: I. Phenomenological description. In: Johnson, D.L. and Sen, P.N. (Eds.) Physics and Chemistry of Porous Media. New York, NY: American Institute of Physics, pp. 89–104.
    [Google Scholar]
  11. Rasolofosaon, P.N.J. and Zinszner, B.E. (2002) Comparison between permeability anisotropy and elasticity anisotropy of reservoir rocks. Geophysics, 67, 230–240.
    [Google Scholar]
  12. Schmitt, D.P. (1989) Acoustic multipole logging in transversely isotropic poroelastic formations. Journal of the Acoustical Society of America, 86, 2397–2421.
    [Google Scholar]
  13. Sharma, M.D. (2004) Wave propagation in a general anisotropic poroelastic medium with anisotropic permeability: phase velocity and attenuation. International Journal of Solids and Structures, 41, 4587–4597.
    [Google Scholar]
  14. Sharma, M.D. (2008a) Propagation of harmonic plane waves in a general anisotropic porous solid. Geophysical Journal International, 172, 982–994.
    [Google Scholar]
  15. Sharma, M.D. (2008b) Propagation of inhomogeneous plane waves in viscoelastic anisotropic media. Acta Mechanica, 200, 145–154.
    [Google Scholar]
  16. Sharma, M.D. and Gogna, M.L. (1991a) Wave propagation in anisotropic liquid‐saturated porous solids. Journal of the Acoustical Society of America, 89, 1068–1073.
    [Google Scholar]
  17. Sharma, M.D. and Gogna, M.L. (1991b) Seismic wave propagation in a viscoelastic porous solid saturated by viscous liquid. Pure and Applied Geophysics, 135, 383–400.
    [Google Scholar]
  18. Vashishth, A.K. and Sharma, M.D. (2009) Reflection and refraction of acoustic waves at poroelastic ocean bed. Earth Planets Space, 61, 675–687.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Anisotropy , Attenuation , Mathematical formulation , Reservoir geophysics and Wave
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