WIAS Preprint No. 695, (2001)

Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces



Authors

  • Edelman, Inna
  • Wilmański, Krzysztof

2010 Mathematics Subject Classification

  • 35C20 35L50 74J15

Keywords

  • asymptotic expansions, waves in porous media

Abstract

Surface waves at a free interface of a saturated porous medium and at an interface between a porous medium and a liquid are investigated. Existence and peculiarities of such surface waves are revealed. At a free interface two types of surface waves are proved to be possible: the true Stoneley wave, propagating almost without attenuation, and the leaky generalized Rayleigh wave, which reradiates a part of its energy into interior of a medium. At a porous medium/liquid interface three types of surface waves are expected. These are the true Stoneley wave, the pseudo Stoneley wave, and the generalized Rayleigh wave.

Appeared in

  • Contin. Mech. Thermodyn. 14 (2002), pp. 25--44

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