Surface waves in two-component poroelastic media on impermeable boundaries -- numerical analysis in the whole frequency domain
- Albers, Bettina
2010 Mathematics Subject Classification
- 74J15 76S05 74S99
- Surface waves, flows in porous media, numerical analysis of dispersion relation
In this work the dispersion relation for surface waves on an impermeable boundary of a fully saturated poroelastic medium is investigated numerically in the whole range of frequencies. A linear model of a two-component poroelastic medium is used in the form proposed by K. Wilmański. Similarly to the classical Biot's model it is a continuum mechanical model but it is much simpler.
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 velocities and attenuations of these waves are shown for different values of the bulk permeability coefficient in different ranges of frequencies.