WIAS Preprint No. 1002, (2005)

Surface waves on permeable and impermeable boundaries of poroelastic media



Authors

  • Albers, Bettina
    ORCID: 0000-0003-4460-9152

2010 Mathematics Subject Classification

  • 74J15 76S05 74S99

Keywords

  • Surface waves, flows in porous media, numerical analysis of dispersion relation

DOI

10.20347/WIAS.PREPRINT.1002

Abstract

This work is devoted to the numerical analysis of surface waves in two-component saturated poroelastic media. We use the ßimple mixture model" which is a simplification of the classical Biot's model for poroelastic media. For the interface porous medium/vacuum there exist two surface waves in the whole range of freuencies - a leaky Rayleigh wave and a true Stoneley wave. For the interface porous medium/fluid one more surface wave appears - a leaky Stoneley wave. For this boundary velocities and attenuations of the waves are shown in dependence on the surface permeability. The true Stoneley wave exists only in a limited range of this parameter.

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