Finite Difference Seismoelectric Wave Modeling In2D Porous Media With Surface Topography

In this article, we studied the finite-difference method simulating the seismo-electric wave propagating in porous media with irregular surface and interface. Finite difference method is a mature numerical simulating method with many advantages such as high efficiency and easy implementation. Zhang and Chen (2006) solved the problem that the FD method cannot simulate the wave propagation with topography accurately which expanded the application range of FD method.It’s important to simulate the seismic wave propagation in porous media based on Biot theory especially for the seismic exploration. And it’s a significant work to develop the simple model of earth to the heterogeneous anisotropy porous media model which is closer to the real earth. Here we elaborated the details of using FDM to process the seismic wave modeling in porous media.When seismic wave passing through the porous media, it will generate electric field by the seismic and electric coupling mechanism called seismo-electric effect. Pride (1994) proposed the governing equations of seismo-electric effect. In this study, we implemented the FDM with topography in seismo-electric modeling if porous media. We calculated the models of full space, half space, horizontal layers and half space with irregular surface. By comparing our results of simulating the seismic and electric wave propagating in these models with other results (i.e. analytic solution, the generalized reflection/transmission coefficients method), our method is proved to be accurate and efficient. Also we reduced the porosity of porous media to compare with Zhang (2006) which gave the results of pure elastic media.