Numerically-analytically studying fundamental solutions of 3-D dynamics of partially saturated poroelastic bodies

A mathematical model of a porous material is considered, in which an elastic skeleton and two fluid phases filling the pores are discerned. The dynamic equations are written in Laplace-type representation for unknown displacement functions of the skeleton and pore pressures of the fillers. The fundamental solutions of the defining differential equations are numerically-analytically studied. A solution in the time-domain is constructed, using the time-step method of numerically inverting Laplace transform.