Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration

doi:10.3969/j.issn.0001-5733.2010.08.015

	Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration
	Zhang Lian-Ping 1,2; Liu Hong 1
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2010-08-01
卷号	53 期号:8 页码:1893-1901
关键词	Coordinate Transform Lie Algebra Integral Exponential Mapping Seismic Travel Time Lateral Velocity Variation
ISSN号	0001-5733
DOI	10.3969/j.issn.0001-5733.2010.08.015
文献子类	Article
英文摘要	Based on pseudo difference operator and Lie algebra integral method, we proposed a new travel-time calculation method for pre-stack Kirchhoff depth migration in medium with lateral velocity variation using eikonal equation and coordinate transform of wave-field. Comparing with Lie algebra time integral used in the pre-stack Kirchhoff time migration, our method contains the first-order item of wave-number and the second-order item also needs to be corrected in depth integral. Therefore we improve the performance of previous method in calculations of the symbol of single root square operator, Lie algebra integral, exponential mapping and the coefficients of travel-time. Here we compare the expression of improved Lie algebra integral with time integral, and. the calculated travel-time is coincident with the theoretical value in medium with laterally linear velocity variation. Through the effect analysis of some items on the final travel-time, we can conclude that the odd item improved the precision further and our algorithm is suitable for the calculation of travel-time in medium with lateral velocity variation, and what's more, there is no mass storage of travel-time tables, which is very beneficial to improving the precision and efficiency of pre-stack Kirchhoff depth migration.
WOS关键词	FINITE-DIFFERENCE CALCULATION ; WAVE-FRONT CONSTRUCTION ; INTERPOLATION ; COMPUTATION ; MATRIX ; MODELS ; RAYS
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE CHINA PRESS
WOS记录号	WOS:000281331800015
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/72666]
专题	中国科学院地质与地球物理研究所
通讯作者	Zhang Lian-Ping
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang Lian-Ping,Liu Hong. Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2010,53(8):1893-1901.
APA	Zhang Lian-Ping,&Liu Hong.(2010).Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,53(8),1893-1901.
MLA	Zhang Lian-Ping,et al."Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 53.8(2010):1893-1901.