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各向异性双相介质弹性波场褶积算法数值模拟

宫猛 李信富

西北地震学报2011,Vol.33Issue(4):313-318,6.
西北地震学报2011,Vol.33Issue(4):313-318,6.

各向异性双相介质弹性波场褶积算法数值模拟

Numerical Simulation of Elastic Wave Propagation in Heterogeneous Two-phase Media with Convolutional Differentiator Method

宫猛 1李信富1

作者信息

  • 1. 中国地质大学(北京)地球物理与信息技术学院,北京 100083
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摘要

Abstract

A new numerical simulation method with convolutional algorithm for elastic waves propagation in heterogeneous two-phase media is derived from the convolutional differential simulation for the propagation in homogeneous media, and the second-order Biot wave equation is expressed as first-order velocity-stress hyperbolic equations, in which the unknown wavefield vectors are velocity and stress components in both fluid and solid phases. The temporal term in the wave equation is computed by stager-grid finite difference method and the spatial term is computed by the new convolutional differentiator. The wavefield characters of heterogeneous two-phase media are studied in both single and two-layered models. The results show that on the subsurface in the two-layered model, two types of fast P-wave and one type of S-wave can be observed when seismic wave is reflected, meanwhile in the media with large attenuation coefficient the slow P-wave is hard to be observed.

关键词

各向异性介质/弹性波/数值模拟/褶积微分算子

Key words

Heterogeneous media/ Elastic wave/ Numerical simulation/ Convolutional differentiator

分类

地球科学

引用本文复制引用

宫猛,李信富..各向异性双相介质弹性波场褶积算法数值模拟[J].西北地震学报,2011,33(4):313-318,6.

基金项目

国家自然科学基金青年基金项目(40804008) (40804008)

西北地震学报

OA北大核心CSCDCSTPCD

1000-0844

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