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《Chinese Journal of Geophysics》 2014-01
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Least-squares reverse time migration in visco-acoustic medium

LI Zhen-Chun;GUO Zhen-Bo;TIAN Kun;School of Geosciences,China University of Petroleum;  
The viscosity of the subsurface medium is widespread.It′s necessary to compensate absorption and correct dispersion of seismic wave in true-amplitude pre-stack imaging.The instability problem hinders the wide application of conventional inverse-Q migration.In this paper,seismic imaging is treated as a linear inverse problem which is often called Least-Squares Reverse Time Migration(LSRTM).Firstly,we linearize the wave equation and define the cost function.Then based on the derived equations of adjoint wave propagation operator,iterative solution is derived using adjoint-state method.At last,dynamical phase encoding technology is used to reduce computation cost.We propose a new method for imaging in visco-acoustic medium while avoid the instability problem.The true-amplitude imaging results can be obtained after compensating absorption and correcting dispersion automatically.It′s also a good method to suppress the imaging noise and correct amplitude unbalance caused by geometrical spreading or uneven illumination.Compared with conventional Reverse Time Migration(RTM),this method can provide results with higher resolution and lower imaging noise.Numerical tests on synthetic data demonstrate the validity of the proposed method.
【Fund】: 国家自然科学基金(40974073);; 国家863课题(2011AA060301);; 中央高校基本科研业务费专项资金(13CX06014A)联合资助
【CateGory Index】: P631.4
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