中文摘要：

基于流体饱和多孔隙各向同性介质模型，本文首先推导了流体饱和多孔隙介质中弹性波传播的频率域系统动力方程及边界积分方程，然后给出了流体饱和多孔隙介质弹性波方程的基本解，最后，利用本文给出的边界元方法对流体饱和多孔隙各向同性介质中的弹性波传播进行了数值模拟.结果表明：不论是从固相位移，还是液相位移的地震合成记录都能看到明显的慢速P波，本文提出的流体饱和多孔隙介质弹性波边界元法是有效可行的.

英文摘要：

Based on the fluid-saturated porous model this paper analyses and presents the dynamic equation of elastic wave propagation and boundary integral equation formulation of fluid saturated porous media in the frequency domain. The analogy between dynamic poroelasticity and thermoelasticity in the frequency domain is used to obtain the fundamental solution. At last, the numerical simulation of the elastic wave propagation in two-phase isotropic media is carried out by using the boundary element method. The results show that a slow quasi P-wave can be seen in both solid and fluid wave-field synthetic seismograms. It indicates that the boundary element method presented in this paper is effective and feasible.