Optimized pseudo-analytical method for decoupled elastic wave equations

doi:10.6038/cjg20170922

CORC > 地质与地球物理研究所 > 中国科学院地质与地球物理研究所 > 中国科学院油气资源研究重点实验室

	Optimized pseudo-analytical method for decoupled elastic wave equations
	Feng Hai-Xin 1,2; Yan Jun 3; Liu Hong 1,2; Sun Jun 4; Wang Zhi-Yang 1
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2017-09-01
卷号	60 期号:9 页码:3555-3573
关键词	Second-order time difference scheme Elastic wave equations Vector wavefield decomposition Low-rank decomposition Optimized pseudo-analytical method
ISSN号	0001-5733
DOI	10.6038/cjg20170922
文献子类	Article
英文摘要	A number of numerical methods have been used to solve seismic wave equations in various media. Among them, the most commonly used is the Finite Difference (FD) method which has advantages of easy implementation and high efficiency. However, it suffers from numerical dispersion and conditionally stable problems. Compared with the FD method, the spectral method has a high accuracy in space, providing a generally dispersion-free wavefield. The second-order time stepping scheme of the conventional pseudo-spectral method, however, may produce time stepping errors and instabilities at a larger time step. The pseudo-analytical method can be applied to solve these problems through using a pseudo-Laplacian operator with constant compensation velocity. While this method can handle mild velocity variations with several compensation velocities, it also causes significant errors in the case of high velocity variations. In this paper, we propose to simulate vector wavefileds and decompose them into pure wave models simultaneously by the optimized pseudo-analytical method based on the decoupled elastic wave equations. We approximate the normalized pseudo-Laplacian operator with two variable compensation velocities, one is applied to the P-wave model, the other is applied to the S-wave model, through low-rank decomposition. Simulation on 2-D synthetic models demonstrates that the proposed method has high accuracy both in time and space with a more relaxed stability condition compared with the conventional pseudo-spectral and pseudo-analytical methods.
WOS关键词	FINITE-DIFFERENCE SCHEME ; LAX-WENDROFF ; PROPAGATION ; MEDIA ; 4TH-ORDER ; ORDER ; TIME ; SEISMOGRAMS
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000410255900022
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/61922]
专题	地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者	Liu Hong
作者单位	1.Chinese Acad Sci, Key Lab Petr Resources Res, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.ETH, CH-8092 Zurich, Switzerland 4.Tangshan Coll, Tangshan 063020, Hebei, Peoples R China
推荐引用方式 GB/T 7714	Feng Hai-Xin,Yan Jun,Liu Hong,et al. Optimized pseudo-analytical method for decoupled elastic wave equations[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2017,60(9):3555-3573.
APA	Feng Hai-Xin,Yan Jun,Liu Hong,Sun Jun,&Wang Zhi-Yang.(2017).Optimized pseudo-analytical method for decoupled elastic wave equations.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,60(9),3555-3573.
MLA	Feng Hai-Xin,et al."Optimized pseudo-analytical method for decoupled elastic wave equations".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 60.9(2017):3555-3573.