Numerical Simulation of Wave Propagation Phenomena in Fluid‐Saturated Two‐Phase Porous Media

Abstract

The governing equations for dynamic transient analysis of a fluid‐saturated two‐phase porous medium model based on the mixture theory are presented. A penalty finite element formulation is derived with the general Galerkin procedure of the finite element method (FEM), and the obtained dynamic system equation can be solved with implicit or explicit time integration method, which is discussed in this paper. Using this method, a porous medium column under impulsive loading is analyzed and the results reveal the phenomena of one‐dimensional wave propagation, which are consistent with analytical solutions. Furthermore, two numerical examples of two‐dimensional problems demonstrate the existence of two body waves, i.e. longitudinal (P‐type) and transverse (S‐type) waves in porous media, and the Rayleigh wave in the vicinity of the surface of porous media.

Citation

Yan, B., Hu, N., Lu, X. and Kameyama, M. (2005), "Numerical Simulation of Wave Propagation Phenomena in Fluid‐Saturated Two‐Phase Porous Media", Multidiscipline Modeling in Materials and Structures, Vol. 1 No. 2, pp. 109-130. https://doi.org/10.1163/157361105774537215