A polyhedral scaled boundary finite element method for three-dimensional dynamic analysis of saturated porous media

摘要

This paper presents a polyhedral scaled boundary FEM (SBFEM) to investigate three-dimensional seismic response of saturated porous media. The displacement interpolation functions and the pore-pressure interpolation functions are derived using enhanced SBFEM. The spatial discretization formula of generalized Biot equations is achieved by Galerkin method, and subsequently solved via time-domain solving approach. The proposed method can be applied directly over arbitrary polyhedron and octree grids, possessing desirable flexibility in investigating complex geometries and high-efficiency in discretization, which makes it more versatility for engineering simulation compared to traditional numerical methods. The reliability and advantages of the developed method are validated using three numerical examples.