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《Journal of Jilin University(Earth Science Edition)》 2010-06
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Seismic Travel-Time Calculation Based on Wave-Front Construction and Lie Algebra Integral

ZHANG Lian-ping,LIU HongInstitute of Geology and Geophysics/Key Laboratory of Petroleum Geophysics Chinese Academy of Sciences,Beijing 100029,China  
Seismic travel-time calculation is significant in numerical modeling,tomography inversion and migration.In this paper,integrated using wave-front construction and Lie algebra integral,we proposed a new method,called wave-front construction-Lie algebra integral(WFC-LAI)method,which is applicable to unsymmetrical travel-time calculation in laterally velocity variant medium.We make coordinate conversion by travel-time of image rays computed by wave-front construction and convert the lens item of single square root operator in depth domain to a constant,then in the ray coordinates we determine analytical expression of paraxial travel-time using Lie algebra integral and exponent mapping.Through numerical experiments we know our result coincides with the theoretical value in the medium with linear laterally variant velocity.Comparing with wave-front construction we can conclude that in laterally velocity variant medium,WFC-LAI method is applicable to travel-time calculation and saves storage space and computing time,which is extremely beneficial to improve the precision and efficiency of Kirchhoff pre-stack depth migration.
【Fund】: 国家重点基础研究发展计划项目(2007CB209603);; 国家自然科学基金面上项目(40674072) 国家自然科学基金重点项目(40774069)
【CateGory Index】: P631.4
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