Wave scattering in cross-anisotropic porous media around the cavities and inclusions

A method is presented for evaluating dynamic response of a cylindrical cavity or inclusion in an infinite cross-anisotropic porous medium. The basis of the method is the Biot's consolidation equations in the complex plane. Employing two groups of potential functions for solid skeleton and pore fluid (each group includes three functions), the uu-ww formulation of Biot's equations are solved. The stress, displacement, and pore pressure fields are evaluated in the vicinity of the cylinder in complex plane. Also the effects of many parameters (kh/kv,Eh/Ev,Gv/Ev,νhh) on the responses are evaluated by numerical examples.