Perfectly matched layer-absorbing boundary condition for finite-element time-domain modeling of elastic wave equations |
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| Authors: | Zhao Jian-Guo Shi Rui-Qi |
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| Institution: | 1. College of Geophysics and information engineering, China University of Petroleum(Beijing), State Key Lab of Petroleum Resource and Prospecting, and CNPC Key Lab of China University of Petroleum(Beijing), Beijing 102249, China
2. CNOOC Research Institute, Beijing 100027, China |
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| 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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| Keywords: | Absorbing boundary condition elastic wave equation perfectly matched layer finite-element modeling |
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