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声波方程完全匹配层吸收边界 被引量:100

Absorbing boundary condition for acoustic wave equation by perfectly matched layer
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摘要 本文针对声波方程 ,给出了完全匹配层吸收边界方法。其基本思想是在所研究区域的边界上引入吸收层 ,波由研究区域边界传到吸收层时不产生任何反射 ,在吸收层内按传播距离的指数规律衰减 ,不产生反射 ,从而达到吸收边界的效果。文中给出了完全匹配层方法的基本原理 ,导出了声波方程完全匹配层的控制方程 ,并给出了令人满意的数值模拟结果。 Aimed at acoustic wave equation,the paper gave absorbing boundary condition by using perfectly matched layer.The basic ideal of the method is that absorbing layer is added on the boundary of interesting region,no reflection is produced when wave propagates from boundary of studied region to absorbing layer and wave attenuates exponentially with propagation distance.The paper also gave the basic principle of perfectly matched layer,introduced the control equation of perfectly matched layer for acoustic wave equation,and finally showed several satisfactory numerical modeling results.
作者 王守东
机构地区 石油大学
出处 《石油地球物理勘探》 EI CSCD 北大核心 2003年第1期31-34,共4页 Oil Geophysical Prospecting
关键词 正演 数值模拟 完全匹配层 吸收边界 地震勘探 forward,numeric simulation,perfectly matched layer,absorbing boundary condition
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参考文献4

  • 1Cerjan C,Kosloff D,Kosloff Rand Reshef M. A nonreflecting boundary condition for discrete acoustic and elastic wave equation. Geophysics, 1985, 50(4):705-708.
  • 2Higdon R L. Absorbing boundary condition for elastic waves. Geophysics, 1991,56(2):231-241.
  • 3Berenger J P. A perfectly matched layer for the absorption of electromagnetics waves. J Comput Phys. ,1994,114:185-200.
  • 4Collino F and Tsogka C. Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media. Geophysics,2001, 66(1):294-307.

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