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《Chinese Journal of Geophysics》 1997-01
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A PRIMARY STUDY ON AN INVERSE PROBLEM FOR STRATIFIED TRANSVERSELY ISOTROPIC MEDIA

SONG HAI-BIN; MA ZAI-TIAN(Tongji University, Shanghai 200092, China)ZMNG GUAN-QUAN(Institute of Computational Mathematics and Scientific / Engineering Computing,Academia Sinica, Beijing 100080, China)  
A study is conducted of inversion of elastic parameters in stratified transverselyisotropic media with a vertical axis of symmetry (TIV media) by using partial differentialsystem characteristic theory. At first, the characteristic type of plane wave coupledequations are derived from equation of motion and stress-strain relation. Thencharacteristic line boundary condition expressions (continued situation) are given throughmethods of singularity analysis and characteristic line integral. These two systems arebasic equations for inversion of elastic parameters in stratified smooth media or weaklydiscontinued TIV media, Besides, wavefield extrapolation formulae and characteristicline boundary condition expressions corresponding to discontinued situation are also attained and can be used for inversion of elastic parameters in stratified TIV media(discontinued situation). At last, it is considered how to reconstruct simultaneouslyseveral or six elastic parameters (density and five dependent stiffness coefficients)from multi-wave multi-component seismic data at the surface through analysis ofthese basic systems.
【Fund】: 国家自然科学基金;;中国科学院资助;;中国石油天然气总公司和大庆石油管理局资助
【CateGory Index】: P315
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