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《Chinese Journal of Geophysics》 2011-01
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Exact and approximate reflection and transmission coefficient for incident qP wave in TTI media

LIANG Kai~(1,2),YIN Xing-Yao~1,WU Guo-Chen~1 1 College of Geo-Resources and Information,China University of Petroleum(East China),Dong ying 266555,China 2 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029  
Anisotropy of media is one of the key factor of influence on amplitude vs offset (AVO).This paper derived the exact and approximate reflection and transmission coefficient expressions of plane waves in two elastic transversely-isotropic(TTI)media with tilted symmetry axis under welded contact condition by extending the expressions of Aki and Richards,and Ruger.Based on displacement wave function,we establish the quasi Zoeppritz equation for incident qP wave in TTI media using boundary condition of displacement continuation and stress continuation,and obtain the exact solutions.According to weak anisotropy approximation and the theory of media decomposition,we derive the approximate reflection and transmission coefficient for incident qP wave in TTI media.The expressions have definite geophysical meanings and bring higher accuracy than others.The P-P approximate expression indicates that the vertical transversely-isotropic(VTI)has no influence for the intercept of PP reflection coefficient(reflection coefficient when incident angle equals zero),but has influence for the gradient of PP reflection coefficient.TTI has influence for the intercept and gradient of PP reflection coefficient.For VTI media the parameter S controls the small-angle reflection coefficient,while e becomes influential at larger incidence angle.But for TTI media,the parameter e and 8 are all influential at both small and larger incidence angle reflection coefficient.
【Fund】: 国家重点基础研究计划(973)项目(2007CB209605);; 国家自然科学基金项目(40739908)联合资助
【CateGory Index】: P631.4
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