Analysis of wave propagation in saturated porous media. I. Theoretical solution

Abstract

This work presents theoretical and numerical treatments of wave propagation and damping in saturated porous media. In Part I a closed-form solution for wave propagation velocity and damping in fully saturated porous media is derived for a fully coupled model with compressible solid grains and pore water. This solution demonstrates existence of two types of compression waves, termed waves of the first and second kinds. In Part II of this work the theoretical solution is incorporated into the numerical code and the code is used in a parametric study on wave propagation velocity and damping.