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首页> 外文期刊>Journal of computational acoustics >THE MATRIX FORMULATION OF BOUNDARY INTEGRAL MODELING OF ELASTIC WAVE PROPAGATION IN 2D MULTI-LAYERED MEDIA WITH IRREGULAR INTERFACES
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THE MATRIX FORMULATION OF BOUNDARY INTEGRAL MODELING OF ELASTIC WAVE PROPAGATION IN 2D MULTI-LAYERED MEDIA WITH IRREGULAR INTERFACES

机译：具有不规则界面的二维多层介质中弹性波传播的边界积分模型的矩阵形式

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摘要

A semi-analytic method based on the propagation matrix formulation of indirect boundary element method to compute response of elastic (and acoustic) waves in multi-layered media with irregular interfaces is presented. The method works recursively starting from the top-most free surface at which a stress-free boundary condition is applied, and the displacement-stress boundary conditions are then subsequently applied at each interface. The basic idea behind this method is the matrix formulation of the propagation matrix (PM) or more recently the reflectivity method as wide used in the geophysics community for the computation of synthetic seismograms in stratified media. The reflected and transmitted wave fields between arbitrary shapes of layers can be computed using the indirect boundary element (BEM) method. Like any standard BEM methods, the primary task of the BEM-based propagation matrix method (thereafter called PM-BEM) is the evaluation of element boundary integral of the Green's function, for which there are standard method that can be adapted. In addition, effective absorbing boundary conditions as used in the finite difference numerical method is adapted in our implementation to suppress the spurious arrivals from the artificial boundaries due to limited model space. To our knowledge, such implementation has not appeared in the literature. Several examples are presented in this paper to demonstrate the effectiveness of this proposed PM-BEM method for modeling elastic waves in media with complex structure.
机译：提出了一种基于间接边界元法的传播矩阵公式的半解析方法，用于计算界面不规则的多层介质中弹性波和声波的响应。该方法从最上面的自由曲面开始递归地工作，在该曲面上施加了无应力边界条件，然后在每个界面处施加了位移应力边界条件。该方法的基本思想是传播矩阵（PM）的矩阵公式，或者是最近在地球物理学界广泛使用的反射率方法，用于计算分层介质中的合成地震图。可以使用间接边界元素（BEM）方法计算任意形状的层之间的反射波和透射波场。像任何标准的BEM方法一样，基于BEM的传播矩阵方法（以下称为PM-BEM）的主要任务是评估格林函数的元素边界积分，为此可以采用标准方法。另外，在我们的实现中采用了有限差分数值方法中使用的有效吸收边界条件，以抑制由于有限模型空间而导致的来自人工边界的虚假到达。据我们所知，这种实现尚未出现在文献中。本文提供了几个示例，以证明所提出的PM-BEM方法对具有复杂结构的介质中的弹性波建模的有效性。

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