Abstract
Summary This paper presents an algorithm for the numerical simulation of seismic wave propagation in models with complex free-surface topography. A free-surface is approximated accurate enough by a triangular mash after that the discontinuous Galerkin (DG) method is used to solve the elastic wave equation. However, the DG is more computationally intense than the staggered grid finite differences traditionally used for seismic modeling. The presented algorithm is based on the coupling of the two methods, so that the DG is applied only in a narrow near-surface part of the model, while the highly efficient standard staggered grid scheme is used elsewhere. This combination allows one account for the topography but keep the efficiency of the finite-difference simulation.
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