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Application of Auxiliary Differential Equation Perfectly Matched Layer for Numerical Modeling of Acoustic Wave Equations

Zhao Jianguo1，Shi Ruiqi2，Chen Jingyi3，Zhao Weijun4，Wang Hongbin5，Pan Jianguo5   

  1. 1.College of Geophysics and Information Engineering, China University Petroleum, Beijing/State Key Laboratory of Oil Resources and Prospecting/ CNPC Key Lab of Geophysical Prospecting, Beijing102249, China;
    2.Research Institute, China National Offshore Oil Corp., Beijing100027, China;
    3.Department of Geoscience, University of Tulsa,Oklahoma74104, USA;
    4.Shenyang Institute of Geology and Mineral Resources, Shenyang110034, China;
    5.Northwest Institute of Oil Exploration and Development, CNPC, Lanzhou730000, China
  • Received:2013-05-06 Online:2014-03-26 Published:2014-03-26

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Abstract:

In seismic wave modeling, a high-order time marching scheme is required in order to increase the accuracy of the algorithm. However, ordinary unsplit perfectly matched layer(PML) absorbing boundaries are constrained to low-order time schemes. The auxiliary differential equation PML (ADE-PML) is a kind of unsplit PMLs that can be applied to arbitrary-order time schemes, and also can implement complex-frequency-shifted (CFS) coordinate tensor to enhance the performance of PML at high-angle incidence.We introduce the ADE-PML in the numerical modeling in fourth-order Runge-order time scheme for acoustic wave equations, and validate the efficiency. The numerical experiments demonstrate that CFS ADE-PML preforms better than non-CFS ADE-PML at high-angle incidence. Besides, there are minor distinctions among the absorbing efficiency of different update schemes for auxiliary variable, and the solution calculated by explicit scheme better agree with the analytical one. The long-time computation of energy decay shows that ADE-PML is stable up to 2 × 105 steps.

Key words: acoustic wave equation, perfectly matched layer, auxiliary differential equations, arbitrary-order time scheme, numerical modeling

CLC Number: 

  • P631.4
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