On results of the surface wave analyses in poroelastic media by means of the Simple Mixture Model and the Biot model

Abstract

This note is devoted to an overview of the results on the number, velocity and attenuation of surface waves in two-component saturated poroelastic media. The author's numerical results which have been obtained using the Simple Mixture Model are compared to some results of other authors who carried out either an analysis by means of the classical Biot model for poroelastic media or experiments. It is shown that the Simple Mixture Model is a simplification of the Biot model. Due to its simpler form the Simple Mixture Model is more suitable for a complex analysis which depends on several parameters. Thus, the Simple Mixture Model is the only model for which, simultaneously, either the dependence on the frequency, ω , and the dependence on the bulk permeability, π (boundary porous medium/vacuum) or the dependence on the frequency, ω , and the dependence on the surface permeability, α (boundary porous medium/fluid) has been considered.