Transient green's functions of fluid-saturated porous media

Abstract

Green's functions of dynamic poroelasticity are derived in the Laplace transform domain. These functions define the solid displacement field and the fluid pressure in fluid-saturated porous media due to a point force in the solid and an injection of fluid into the pores. In addition, approximate Green's functions for short times are derived by analytically inverting the Laplace transform expressions. Finally, a set of numerical results are presented to highlight the salient features of the subject as well as to investigate the accuracy of the transient approximate Green's functions.