An Explicit Finite Element Method for Dynamic Analysis in Fluid Saturated Porous Media Considering the Coupling Mass

Abstract eng:
Based on Biot dynamic theory, an explicit finite element method for dynamic analysis of the fluid saturated porous media was proposed considering of the coupling massρa. The formula of the explicit finite element method was developed, and the corresponding calculation procedure and some results were presented in this paper. The excellent characteristics of the method are that the global stiffness matrix does not need to be assembled and the linear equations do not need to be solved. So the computational effort and memory requirement can be reduced considerably. Compared with the analytic solution, the results were in a good conformity with it, which indicated that the method presented in this paper was an effective method to deal with the dynamic problems of saturated porous media. The effects of coupling massρa on the displacements of liquid and solid phase were also analyzed, and the results showed that the coupling mass had obvious effects on the displacements of liquid phase, but not obvious on the solid phase’s displacements.

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