Equivalent body forces for jumps of stresses and displacements in Biot model of anisotropic porous medium

The aim of this paper is to establish formulas for body forces equivalent to jumps of stresses and displacements in anisotropic Biot model. Scheme used follows the scheme typical for elastic medium. We derive Betti identity, reciprocity relations and representation integrals for porous medium. Applying representation integrals to a volume containing discontinuity surfaces we obtain equivalent body forces. Finally, physical consequences and equivalent forces for isotropic Biot model are presented.