Time domain boundary element formulation for partially saturated poroelasticity

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• 作者：Peng Li ; Martin Schanz
• 关键词：Time domain BEM ; Convolution Quadrature Method ; Partial saturated poroelasticity ; Wave propagation
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：37
• 期：11
• 页码：1483-1498
• 全文大小：3492 K

文摘

Based on the Mixture theory and the principles of continuum mechanics, a dynamic three-phase model for partially saturated poroelasticity is established as well as the corresponding governing equations in Laplace domain. The three-dimensional fundamental solutions are deduced following H?rmander's method. Based on the weighted residual method, the boundary integral equations are established. The boundary element formulation in time domain for partially saturated media is obtained after regularization by partial integration, spatial discretization, and the time discretization with the Convolution Quadrature Method. The proposed formulation is validated with the semi-analytical one-dimensional solution of a column. Studies with respect to the spatial and temporal discretization show its sensitivity on a fine enough mesh. A half-space example allows to study the wave fronts. Finally, the proposed formulation is used to compute the vibration isolation of an open trench.