Abstract
A fully coupled two-dimensional infinite element for frequency domain analysis of wave propagation problems in unbounded saturated porous media is presented. The decay function of the element is derived based on the analytical solution of Biot (Theory of propagation of elastic waves in fluid-saturated porous solid. 1. Low-frequency range. Journal of the Acoustical Society of America 1956;28(2):168–78) formulation for a one-dimensional configuration. After a detailed description of the element formulation, the effectiveness and the accuracy of the present infinite element in simulating unbounded domains are demonstrated through two numerical examples. Extremely good agreements are obtained between the results from a very large mesh and those from the coupled finite–infinite element method. It is shown that the accuracy of the solutions deteriorate significantly when the infinite elements are removed and fixed to free displacement boundary conditions are introduced at the truncated boundaries.
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