Acoustical Physics

, Volume 56, Issue 3, pp 299–305

Low-frequency surface wave propagation along plane boundaries in fluid-saturated porous media

  • M. G. Markov
  • I. A. Markova
  • S. N. Sadovnichiy
Physical Acoustics

DOI: 10.1134/S1063771010030061

Cite this article as:
Markov, M.G., Markova, I.A. & Sadovnichiy, S.N. Acoust. Phys. (2010) 56: 299. doi:10.1134/S1063771010030061

Abstract

A method of the mechanics of a fluid-saturated porous medium is used to study the propagation of harmonic surface waves along the free boundary of such a medium, along the boundary between a porous medium and a fluid, and along the boundary between two porous half-spaces. It is shown that, at low frequencies (i.e., for waves with frequencies lower than the Biot characteristic frequency), the corresponding dispersion equations in zero-order approximation are reduced to the equations for an “equivalent” elastic medium. For the wave numbers of surface waves, corrections taking into account the generation of longitudinal waves of the second kind at the boundary are calculated. Examples of numerical solutions of dispersion equations for rock are presented.

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • M. G. Markov
    • 1
  • I. A. Markova
    • 2
  • S. N. Sadovnichiy
    • 1
  1. 1.Instituto Mexicano Del PetróleoMéxico, DFMéxico
  2. 2.Instituto Politécnico NacionalSEPI-ESIME CulhuacánMéxico, DFMéxico