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《Progress in Geophysics》 2007-02

## The method of wave equation preserved-amplitude prestack depth migration for common offset gathers

LIU Ding-jin,YIN Xing-yao(Faculty of Geo-Resource and Information in China University of Petroleum,Dongying 257061,China)
This article proposes a wave equation preserved-amplitude prestack depth migration method for common offset gathers based on double-square-root equation.In this method,amplitude errors compensation is regarded as one part of migration and can be accomplished with "kinematics migration" during the migration.Its basic theory is as follows.(1) We can derive preserved-amplitude one-way wave equation defined by double-square-root(DSR) operator from the equation of preserved-amplitude single-square-root operator;(2) According to the perturbation theory of seismic wave,we split the velocity field into intraformational constant velocity background and variable velocity disturbance.Then we calculate time-shift quantity of migration and amplitude correction coefficients for wavefield continuation in frequency-wave number domain and frequency-spatial domain,respectively.So we obtain the final DSR preserved-amplitude field continuation operation.(3) The phase-shift formulae for preserved-amplitude wave field continuation can be obtained by stationary phase approximation for integral operation of DSR preserved-amplitude wave field continuation formulae in a condition of high-frequence hypothesis.The theoretic analysis and models on synthetic datasets show that the proposed method not only can focus scattering energy,turn over to the correct position and improve the imaging fidelity,but also can output the correct amplitude information which exactly reflects underground reflection factor.So this method can provide more real seismic information for the following attribute analysis,such as AVO/AVA.
【Fund】： 国家自然科学基金项目(40474041)资助
【CateGory Index】： P631.4
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