Dynamic Green's functions for an anisotropic poroelastic half‐space

Abstract

SummaryThe dynamic responses of an anisotropic poroelastic half‐space under an internal point load and fluid source are investigated in the frequency domain in this paper. By virtue of Fourier transform and Stroh formalism, the three‐dimensional (3D) general solutions of the anisotropic Biot's coupling dynamics equations are derived in the frequency domain. Considering the two surface conditions, permeable and impermeable, the analytical solutions for displacement fields and pore pressure in half‐space under a point source (point load or a fluid source) are obtained. When the material properties are isotropic, the numerical results of the poroelastic half‐space are in excellent agreement with the existing analytical solutions. For anisotropic half‐space cases, numerical results show the strong dependence of the dynamic Green's functions on the material properties.