Finite difference methods applied to biot theory in porous medium

Abstract

Finite difference methods are used to solve the Biot equations for wave propagation in a porous medium. The computational domain is a two dimensional grid of uniform spacing where truncation of the grid on all sides is accomplished by applying homogeneous Dirichlet boundary conditions. The difference method is second order in space and time, and is seen to accurately predict phase speeds of the primary compressional and shear waves. (AN)