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Composite absorbing boundaries for the numerical simulation of seismic waves

Seismology Laboratory Department of Physics University of Alberta, Edmonton, Canada, T6G 2J1
Department of Physics University of Toronto, Toronto Canada, M5S 1A7
Technical University of Crete, Chania Greece, 73133

Abstract

Composite absorbing boundary methods are developed for the numerical simulation of seismic waves. These methods combine low-angle absorbing boundary conditions, based on the characteristic analysis of one-dimensional wave equations, with either of two novel wave field modification approaches, namely the anisotropic filters and the one-way sponge filters. The anisotropic filter method adjusts the propagation direction of the waves, so that they reach the boundary at normal angles. The one-way sponge filter method endows the transition zone with a dissipation mechanism that selectively damps the incoming waves. These methods absorb not only the body waves but also the surface waves. A narrow transition zone adjacent to a computational boundary is introduced whose width is smaller than in the sponge filter approach. Numerical examples illustrate the effectiveness of these methods in absorbing the artificial reflections.