WIAS Preprint No. 949, (2004)

Numerical analysis of monochromatic surface waves in a poroelastic medium



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.

Abstract

The dispersion relation for surface waves on the boundary between a fully saturated poroelastic medium and a vacuum is investigated numerically in the whole range of frequencies. A linear model of a two-component poroelastic medium similar to but simpler than the classical Biot's model is used. In the whole range of frequencies there exist two modes of surface waves corresponding to the classical Rayleigh and Stoneley waves. The numerical results for phase velocities, group velocities and attenuations of these waves are shown for different values of the bulk permeability coefficient.

Appeared in

  • Trends in Applications of Mathematics to Mechanics. Proceedings of the XIVth International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM'2004), Seeheim, Germany, 22--28 August 2004, K. Hutter, Y. Wang, eds., Berichte aus der Mathematik, Shaker, Aachen, 2005, pp. 21--30.

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