Accurate method for calculating derivative matrix in medium density ratio inversion

doi:10.3969/j.issn.0001-5733.2010.09.019

	Accurate method for calculating derivative matrix in medium density ratio inversion
	Liu Fu-Ping 1,3; Meng Xian-Jun 2; Wang Yu-Mei 2; Kong Qing-Feng 2; Shen Guo-Qiang 2; Yang Chang-Chun 3
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2010-09-01
卷号	53 期号:9 页码:2189-2195
关键词	Derivative matrix Zoeppritz equation Inversion of medium density Ratio of medium densities Large angle
ISSN号	0001-5733
DOI	10.3969/j.issn.0001-5733.2010.09.019
文献子类	Article
英文摘要	Realization of derivative computation is the key for derivative-based inversion. Its computational precision directly influences the inversion result. However, at present almost all AVO (Amplitude Versus Offset) inversions are based on the approximate expressions of Zoeppritz equations. The computational precision and the application scope of AVO inversions are restricted. With the help of Zoeppritz equations, this paper sets up the partial derivative equation of the reflection coefficients of seismic wave with respect to the ratio of medium densities, and derives the derivative of any matrix element with respect to the ratio of medium densities. Through solving the derivative matrix equation, we have obtained the partial derivative of reflection coefficients of seismic wave with respect to the ratio of medium densities, realized the accurate calculation of derivative matrix equation, which can be used to inverse for the ratio of medium densities. We have also analyzed the derivative curves of reflection coefficients of seismic wave, and achieved some new cognitions for the derivative. Because the method of computational derivative matrix adopted is directly solving the linear system of equations, the computation not only has high precision but also has fast computational speed. This paper offers a computational method for us to further research the inversion of stratum densities (including the inversion problem of large angle incident wave) and to improve the computational speed and precision of inversion.
WOS关键词	ELECTROMAGNETIC-WAVE ; CONDUCTIVE MEDIA ; VELOCITY MODEL ; LATERAL SHIFT ; INTERFACE
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000282294600019
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/72200]
专题	中国科学院地质与地球物理研究所
通讯作者	Liu Fu-Ping
作者单位	1.Beijing Inst Graph Commun, Beijing 102600, Peoples R China 2.China Petrochem Corp SINOPEC, Shengli Geophys Res Inst, Shandong 257022, Dongying, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Liu Fu-Ping,Meng Xian-Jun,Wang Yu-Mei,et al. Accurate method for calculating derivative matrix in medium density ratio inversion[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2010,53(9):2189-2195.
APA	Liu Fu-Ping,Meng Xian-Jun,Wang Yu-Mei,Kong Qing-Feng,Shen Guo-Qiang,&Yang Chang-Chun.(2010).Accurate method for calculating derivative matrix in medium density ratio inversion.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,53(9),2189-2195.
MLA	Liu Fu-Ping,et al."Accurate method for calculating derivative matrix in medium density ratio inversion".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 53.9(2010):2189-2195.