双程声波方程逆时深度偏移
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摘要
从双程声波方程出发,在交错网格空间中推导了地震波逆时延拓的高阶有限差分算子,依据最佳匹配层(PML)的方程分裂思路,得到了一阶声波方程的PML边界条件及其高阶差分格式,采用零时间成像条件和上行、下行波场互相关成像条件,实现了声波方程的叠后与叠前逆时深度偏移。逆时偏移对sigsbee_2b模型理论数据的偏移成像得到了满意效果。
Based on two-way acoustic wave equations, a high-order finite difference reverse-time propagation scheme is established using a high precision operator in staggered-grid, and a perfectly matched layer(PML) absorbing boundary conditions is also proposed in the paper which can be computed by the same finite different scheme. Based on above two techniques, the post-stack and pre-stack reverse-time depth migrations of compression seismic wave are achieved by using a zero time imaging condition in post-stack migration and an exciting time imaging condition in pre-stack migration. The processing of synthetic data of sigsbee_2b model obtained a satisfactory result.
Based on two-way acoustic wave equations, a high-order finite difference reverse-time propagation scheme is established using a high precision operator in staggered-grid, and a perfectly matched layer(PML) absorbing boundary conditions is also proposed in the paper which can be computed by the same finite different scheme. Based on above two techniques, the post-stack and pre-stack reverse-time depth migrations of compression seismic wave are achieved by using a zero time imaging condition in post-stack migration and an exciting time imaging condition in pre-stack migration. The processing of synthetic data of sigsbee_2b model obtained a satisfactory result.
引文
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[12]GUITTON A,VALENCIANO A,BEVC D,et al.Smoothing imaging condition for shot-profile migration[J].Geophysics,2007,72(3):S149.
[2]MCMECHAN G A.Migration by extrapolation of time-dependent boundary values[J].Geophysical Prospec-ting,1983,31(2):413.
[3]CHATTOPADHYAY S,MCMECHAN G A.Imagingconditions for prestack reverse-time migration[J].Ge-ophysics,2008,73(3):S81.
[4]STEVE T H.Reverse-time depth migration:Imped-ance imaging condition[J].Geophysics,1987,52(8):1060.
[5]SCHLEICHER J,COSTA J C.A comparison of imagingconditions for wave-equation shot-profile migration[J].Geophysics,2008,73(6):S219.
[6]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411.
[7]BERFENGER J P.Aperfectly matched layer for the ab-sorption of electromagnetics waves[J].Journal Computa-tion Physics,1994,114(2):185.
[8]CLAERBOUT J F.Toward a unified theory of reflectormapping[J].Geophysics,1971,36(3):467.
[9]FLETCHER R P,FOWLER P J,KITCHENSIDE P,etal.Suppressing unwanted internal reflections in prestackreverse-time migration[J].Geophysics,2006,71(6):E79.
[10]YOON K,MARFURT K J.Revsrse-time migration u-sing the pointing vector[J].Exploration Geophysics,2006,59(1):102.
[11]GUITTON A,KAELIN B.Least-square attenuation ofreverse time migration artifacts[C].Expanded Abstractsof 76rdSEG Annual Int Mtg,2006:2348.
[12]GUITTON A,VALENCIANO A,BEVC D,et al.Smoothing imaging condition for shot-profile migration[J].Geophysics,2007,72(3):S149.
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