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二维横各向同性弹性随机介质中的波场特征
引用本文:奚先,姚姚.二维横各向同性弹性随机介质中的波场特征[J].地球物理学进展,2004,19(4):924-932.
作者姓名:奚先  姚姚
作者单位:1. 华中科技大学数学系,武汉,430074;中国地质大学,武汉,应用地球物理系,武汉,430074
2. 中国地质大学,武汉,应用地球物理系,武汉,430074
摘    要:本文通过交错网格有限差分正演.模拟了平面地震波在二维横各向同性弹性随机介质模型中的传播及其自激自收时间记录.为研究横各向同性弹性随机介质模型中的波场特征,我们在五个不同的时间区段上,分别计算剖面的三个统计特征(横向中心频率、纵向中心频率、波场能量相对值).这样,对应每一个横各向同性弹性随机介质模型.均可计算得到15个不同的波场特征量.我们通过在二维横各向同性弹性随机介质中的正演模拟.研究当自相关长度以及介质的各向异性系数变化时,对应的上述波场特征量的变化特点.证实了在随机介质模型中.各向异性系数的变化会引起波场记录上的某些统计特征的变化,归纳得出了若干结论.

关 键 词:横各向同性弹性随机介质模型  交错网格有限差分格式  波场模拟  波场特征
文章编号:1004-2903(2004)04-0924-09
修稿时间:2003年7月10日

The wave field characteristics of 2-D transversely isotropic elastic random medium
XI Xian.The wave field characteristics of 2-D transversely isotropic elastic random medium[J].Progress in Geophysics,2004,19(4):924-932.
Authors:XI Xian
Abstract:This paper,through the staggered-mesh finite difference simulations of the wave equations,simulated thepropagation of the seismic wave and relevant zero offset time record in the various transversely isotropic elastic ran-dom medium models.To study the wave field characteristics of 2-D transversely isotropic elastic random medium,weseparately calculated the statistical characterizations(Horizontal center frequency,vertical center frequency and rela-tive magnitude of the wave field energy)in the five different time sections.In this way,corresponding to every singletransversely isotropic elastic random medium model,we can calculate and gained 15 different wave field characteristicquantities.Via the forward modeling in the 2-D transversely isotropic elastic random medium,we studied the changefeatures of the wave field characteristic quantities as changing the media's autocorrelation length and anisotropic coeffi-cient.Confirmed in the random medium models that the change of the anisotropic coefficients will arouse the change ofsome statistical behavior in the wave field records,induced and gained several conclusions.
Keywords:transversely isotropic elastic random medium model  staggered-mesh finite difference schemes  wave field simulating  wave field characteristics
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