Abstract
The perfectly matched layer (PML) is a highly efficient absorbing boundary condition used for the numerical modeling of seismic wave equation. The article focuses on the application of this technique to finite-element time-domain numerical modeling of elastic wave equation. However, the finite-element time-domain scheme is based on the second-order wave equation in displacement formulation. Thus, the first-order PML in velocity-stress formulation cannot be directly applied to this scheme. In this article, we derive the finite-element matrix equations of second-order PML in displacement formulation, and accomplish the implementation of PML in finite-element time-domain modeling of elastic wave equation. The PML has an approximate zero reflection coefficients for bulk and surface waves in the finite-element modeling of P-SV and SH wave propagation in the 2D homogeneous elastic media. The numerical experiments using a two-layer model with irregular topography validate the efficiency of PML in the modeling of seismic wave propagation in geological models with complex structures and heterogeneous media.
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This work is sponsored by the National Natural Science Foundation of China Research (Grant No. 41274138), and the Science Foundation of China University of Petroleum (Beijing) (No. KYJJ2012-05-02).
Zhao Jian-Guo, Associate Professor, obtained his bachelor and PhD degrees in Exploration Geophysics from Changchun College of Geology in 1998 and 2002, respectively, and his PhD degree in Exploration Geophysics from Tohoku University, Japan, in 2006. He joined China University of Petroleum (Beijing) in 2006 after his PhD research. His research interests include seismic full-wave modeling and inversion, seismic data processing, seismic-electromagnetic high-accuracy joint inversion, and rock physics.
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Zhao, JG., Shi, RQ. Perfectly matched layer-absorbing boundary condition for finite-element time-domain modeling of elastic wave equations. Appl. Geophys. 10, 323–336 (2013). https://doi.org/10.1007/s11770-013-0388-y
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DOI: https://doi.org/10.1007/s11770-013-0388-y