A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Absorbing Conditions, Elastic Waves, Perfectly Matched Layer, Seismic Modelling, Seismic Wave Propagation, Surface Waves

Scientific paper

The perfectly matched layer absorbing boundary condition has proven to be very efficient for the elastic wave equation written as a first-order system in velocity and stress. We demonstrate how to use this condition for the same equation written as a second-order system in displacement. This facilitates use in the context of numerical schemes based upon such a system, e.g. the finite-element method, the spectral-element method and some finite-difference methods. We illustrate the efficiency of this second-order perfectly matched layer based upon 2-D benchmarks with body and surface waves.

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