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《Chinese Journal of Geophysics》 2019-01
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Reflection and transmission coefficients based on second-order approximation in orthorhombic anisotropic media

XU QianRu;MAO WeiJian;Chinese Academy of Sciences,Institute of Geodesy and Geophysics,Center for Computational and Exploration Geophysics and State Key Laboratory of Geodesy and Earth′s Dynamics;University of Chinese Academy of Sciences;  
Seismic wave propagation in the anisotropic media with one quasi-P wave(qP)and two quasi-S waves(qS1 and qS2).Studying of the propagation properties,such as phase velocity,group velocity and polarization,provides effective support for seismic forward modeling and inverse problems in anisotropic media.To describe the orthorhombic anisotropic media with more general symmetry than transverse isotropic(TI)media usually requires 9 independent parameters,which makes the calculation of propagation properties very complicated.The two quasi-S waves with similar velocities are coupled,causing the singularities in slowness calculation.As a result,thereflection and transmission(R/T)coefficients are unstable in the neighborhood of singularities(saddle points and cross points on slowness surface),which makes the wavefield amplitude calculation inaccurate.In this paper we propose a method to obtain the second-order R/T coefficients generated by incident qP wave in orthorhombic media by using coupled ray theory and high-order iterative solution of phase velocity and polarization vector in anisotropic media.Compared with the first-order results,the proposed method improves the accuracy of qP wave R/T coefficients,and obtains accurate qP-qS converted wave R/T coefficients which is not available in the first-order coupling approximation method.Furthermore,our method is applicable to strong anisotropic media.
【Fund】: 国家重点研发计划(2016YFC0601101);; 国家自然科学基金(U1562216);; 国家科技重大专项项目《新一代地球物理油气勘探软件系统》(2017ZX05018-001)联合资助
【CateGory Index】: P631.4
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