Flexural waves in a fluid-saturated porous stratum embedded in an elastic infinite medium

The flexural waves in a fluid-saturated porous stratum embedded in an homogeneous, isotropic infinite medium, impermeable to a fluid flow have been studied in the paper. The outer half-space has been assumed to reveal the same mechanical properties. Basing on the Biot's equations for wave propagation in the porous media and the theory of elasticity for the outer half-spaces, the dispersion equation relating the phase velocity to the wave number has been derived in a complex form. The simplified version of the dispersion equation for which the dissipation caused by the relative fluid flow is neglected has been also presented. The roots of this equation have been found numerically. The way of passing to the well-known classical results has also been shown.