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《Chinese Journal of Geophysics》 2017-02
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Modeling and reverse time migration of pure quasi-P-waves in complex TI media with a low-rank decomposition

HUANG Jin-Qiang;LI Zhen-Chun;Department of Geophysics,School of Geosciences,China University of Petroleum(East China);  
Forward modeling and reverse time migration(RTM) of quasi-P-waves(qP) in TI medium for practical application draw great attention in recent year. Modeling based on conventional coupled equations may exist SV-wave artifacts and numerically dispersion,also suffer from strict limitations on the media parameter(η0) and instabilities. For decoupled qP wave equation,it requires many tedious mathematical deduction,causing its numerical calculation to be very challenging, and its accuracy is limited, due to containing a pseudo-differential operator in this equation.To overcome these defects, Firstly, we derived a pure qP-wave propagator suitable for arbitrary TI media. Then the Low-rank decomposition algorithm was employed to solve the space-wavenumber domain matrix in propagator. In addition, the Cerjan's attenuation boundary condition was adopted to eliminate boundary reflections. Finally, an indirect pure qP-wave evolution scheme was implemented,which is successfully applied to perform modeling and RTM.Numerical experiments on modeling and RTM validate that, compared to the traditional approaches, the proposed scheme is more accurate and stable for anisotropic qP-wave modeling and RTM. Specifically,our method presented here include three aspects: ① it cannot only avoid the complicatedly mathematical deduction of decoupled equations, but also break the restrictions(η0)on media parameters for coupled equations; Besides,② SV-waves artifacts and numerical dispersion can be eliminate completely by this strategy;③ Synthetic results remain high quality even for large temporal and' spatial intervals or high-frequency sources,which proves better adaptability of the proposed method.
【Fund】: 国家重点基础研究发展计划(2014CB239006);; 国家自然基金(41274124);; 中央高校科研业务费专项基金(R1401005A);; 中国石油大学(华东)研究生创新工程资助项目基金(YCXJ2016005)联合资助
【CateGory Index】: P631.4
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【Citations】
Chinese Journal Full-text Database 10 Hits
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