Seismogram synthesis for multi-layered media with irregular interfaces by global generalized reflection/transmission matrices method, I. Theory of two-dimensional SH case
Seismogram synthesis for multi-layered media with irregular interfaces by global generalized reflection/transmission matrices method, I. Theory of two-dimensional SH case
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发表时间：
1990-12
影响因子：
3
通讯作者：
Xiaofei Chen
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作者：
Xiaofei Chen
本文提出了一种任意震源引起的具有不规则界面的多层介质地震记录合成的新方法。该方法既可以看作是通过引入整体广义R/T矩阵将用于夹杂问题的T矩阵方法推广到多层介质，也可以看作是通过引入T矩阵方法将用于水平层状介质的广义R/T系数方法推广到不规则层状介质。本文所得到的公式是用整体广义R/T矩阵表示的。这些全局广义R/T矩阵可以通过递归关系从沿着每个界面的积分和源区域上的积分来确定。该公式提供了一种有效的计算方案，特别是当层数增加时。此外，该公式可以应用于任何有限的频率，虽然对于较高的频率，它需要更多的计算时间比较低的频率。作为例子，我们给出了三个具体问题的解决方案，即，水平层状介质，不规则地形，和不规则层的半空间。
Abstract In this paper, we present a new method of seismogram synthesis for multi-layered media with irregular interfaces due to an arbitrary source. This method can be viewed as either an extension of the T matrix method for an inclusion to multi-layered media by introducing the global generalized R/T matrices, or an extension of the generalized R/T coefficients method for horizontally layered media to irregular layered ones by incorporating the T matrix method. The formulation obtained in this paper is expressed in terms of the global generalized R/T matrices. These global generalized R/T matrices can be determined from integrals along each interface and integral over source area via a recursive relation. This formulation provides an efficient scheme of computation, especially when the number of layers increases. Also, this formulation can be applied to any finite frequency, although for higher frequency it needs more computation time than for lower frequency. As examples, we give solutions of three specific problems, namely, horizontally layered media, irregular topography, and an irregular layer over a half-space.