Approximate Solutions to the Boundary-Volume Integral Equation for Wave Propagation in Piecewise Heterogeneous Media

doi:10.1007/s00024-012-0638-6

	Approximate Solutions to the Boundary-Volume Integral Equation for Wave Propagation in Piecewise Heterogeneous Media
	Yu, Geng-Xin; Fu, Li-Yun
刊名	PURE AND APPLIED GEOPHYSICS
	2013-11-01
卷号	170 期号:11 页码:1803-1819
关键词	Born series approximation piecewise heterogeneous media generalized Lippmann-Schwinger integral equation 2-D SH waves wave propagation
ISSN号	0033-4553
DOI	10.1007/s00024-012-0638-6
文献子类	Article
英文摘要	Piecewise heterogeneous media that the earth presents are composed of large-scale boundary structures and small-scale volume heterogeneities. Wave propagation in such piecewise heterogeneous media can be accurately superposed through the generalized Lippmann-Schwinger integral equation (GLSIE). Two different Born series modeling schemes are formulated for the boundary-volume integral equation with 2-D antiplane motion (SH waves). Both schemes decompose the resulting boundary-volume integral equation matrix into two parts: the self-interaction operator handled with a fully implicit manner, and the extrapolation operator approximated by a Born series. The first scheme associates the self-interaction operator with each boundary itself and the volume itself, and interprets the extrapolation operator as the cross-interaction between each boundary and other boundaries/volume scatterers in a subregion. The second scheme relates the self-interaction operator to each boundary itself and its cross-interaction with the volume scatterers on both sides, and expresses the extrapolation operator as both the direct and indirect (through the volume scatterers) cross-interactions between different boundaries in a subregion. By eliminating the displacement field from the volume scatterers, the second scheme reduces the dimension of the resulting boundary-volume integral equation matrix, leading to a faster convergence than the first scheme. Both the numerical schemes are validated by dimensionless frequency responses to a heterogeneous alluvial valley with the velocity perturbed randomly in the range of ca 5-20 %. The schemes are applied to wave propagation simulation in a heterogeneous multilayered model by calculating synthetic seismograms. Numerical experiments, compared with the full-waveform numerical solution, indicate that the Born series modeling schemes significantly improve computational efficiency, especially for high frequencies.
WOS关键词	TRANSMISSION MATRICES METHOD ; IRREGULAR INTERFACES ; MULTILAYERED MEDIA ; SEISMOGRAM SYNTHESIS ; BORN SERIES
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000326093600008
资助机构	Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; 41130418 ; 41130418 ; 41130418 ; 41130418 ; 40925013) ; 40925013) ; 40925013) ; 40925013) ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; 41130418 ; 41130418 ; 41130418 ; 41130418 ; 40925013) ; 40925013) ; 40925013) ; 40925013) ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; 41130418 ; 41130418 ; 41130418 ; 41130418 ; 40925013) ; 40925013) ; 40925013) ; 40925013) ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; Natural Science Foundation of China(41204097 ; 41130418 ; 41130418 ; 41130418 ; 41130418 ; 40925013) ; 40925013) ; 40925013) ; 40925013)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/87510]
专题	中国科学院地质与地球物理研究所
通讯作者	Yu, Geng-Xin
作者单位	Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Yu, Geng-Xin,Fu, Li-Yun. Approximate Solutions to the Boundary-Volume Integral Equation for Wave Propagation in Piecewise Heterogeneous Media[J]. PURE AND APPLIED GEOPHYSICS,2013,170(11):1803-1819.
APA	Yu, Geng-Xin,&Fu, Li-Yun.(2013).Approximate Solutions to the Boundary-Volume Integral Equation for Wave Propagation in Piecewise Heterogeneous Media.PURE AND APPLIED GEOPHYSICS,170(11),1803-1819.
MLA	Yu, Geng-Xin,et al."Approximate Solutions to the Boundary-Volume Integral Equation for Wave Propagation in Piecewise Heterogeneous Media".PURE AND APPLIED GEOPHYSICS 170.11(2013):1803-1819.