离散化
波数
点(几何)
简单(哲学)
区间(图论)
数学分析
数学
点源
集合(抽象数据类型)
观测点
几何学
物理
光学
计算机科学
地质学
组合数学
哲学
认识论
地震学
程序设计语言
标识
DOI:10.1785/bssa0710040959
摘要
abstract Green's functions for an elastic layered medium can be expressed as a double integral over frequency and horizontal wavenumber. We show that, for any time window, the wavenumber integral can be exactly represented by a discrete summation. This discretization is achieved by adding to the particular point source an infinite set of specified circular sources centered around the point source and distributed at equal radial interval. Choice of this interval is dependent on the length of time desired for the point source response and determines the discretized set of horizontal wavenumbers which contribute to the solution. Comparisons of the results obtained with those derived using the two-dimensional discretization method (Bouchon, 1979) are presented. They show the great accuracy of the two methods.
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