Solving the Problem of Elastic Waves Diffraction by a Fluid-Saturated Porous Gradient Layer Using a Second-Order Finite-Difference Scheme

Abstract

The problem of elastic wave diffraction by an isotropic fluid-saturated porous layer is considered. It is assumed that the porosity is constant and elastic parameters are continuously varying deep into the layer. The original problem is reduced to the boundary value problem for ordinary differential equations of the given form. The finite-difference scheme for the boundary value problem is obtained. The theorem is proved that the error of approximation of the solution has a second order of accuracy. Numerical results confirming theoretical conclusions are given.