关键词: 小波多分辨分析, 数值模拟, 双相介质, 有限差分法

Abstract: In this paper, we consider numerical simulation of wave propagation in fluid-saturated porous media. A wavelet finite-difference method is proposed to solve the 2-D elastic wave equation. The algorithm combines flexibility and computational efficiency of wavelet multi-resolution method with easy implementation of the finite-difference method. The orthogonal wavelet basis provides a natural framework, which adapt spatial grids to local wavefield properties. Numerical results show usefulness of the approach as an accurate and stable tool for simulation of wave propagation in fluid-saturated porous media.

Key words: wavelet multiresolution method, numerical simulation, fluid-saturated porous media, finite-difference method