Two-dimensional time domain fundamental solution to dynamic unsaturated poroelasticity

This paper presents time domain fundamental solutions for the extended biot's dynamic formulations of two-dimensional(2d) unsaturated poroelasticity. unsaturated porous media is considered as a porous media in which the voids are saturatedwith two immiscible fluids, i.e. liquid and gas. at first, the corresponding explicit laplace transform domain fundamentalsolution is obtained in terms of skeleton displacements, as well as liquid and gas pressures. subsequently, the closed-form timedomain fundamental solutions are derived by analytical inversion of the laplace transform domain solutions. finally, a set ofnumerical results are presented which verifies the accuracy of the analytically inversed transient fundamental solution anddemonstrates some salient features of the elastic waves in unsaturated media..