裂步傅里叶真振幅叠前深度偏移
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摘要
由于传统裂步傅里叶叠前深度偏移方法是一种基于单程波波动方程的偏移方法,只能反映波传播的运动学特征,并不能反映波传播的动力学特征,因此不能保持地震数据的真振幅特性。为此本文在传统裂步法的基础上引入了裂步傅里叶真振幅叠前深度偏移算法及其实现流程,即在实现传统裂步法偏移的两个步骤中分别引入不同的真振幅校正算子项对传统的偏移算子进行校正,实现真振幅成像。文中给出此法对Marmousi模型进行试算的结果及实际地震数据的偏移结果,表明该算法具有较好的振幅保持特性。
The traditional split-step Fourier prestack depth migration is a migration method based on one-way wave equation, only reflecting kinematical feature of wave propagation and doing not reflect the dynamic feature of wave propagation, can't preserve true amplitude feature of seismic data. For that reason, the paper introduced split-step Fourier true amplitude prestack depth migration algorithm and implementing flow on the basis of traditional split step method, that is, the different true amplitude correction operators are introduced to carry out correction of the traditional operator in two steps implementing traditional split-step migration method, which can realize true amplitude imaging. The paper gave the test result of Marmousi model and migration results of practical seismic data by the algorithm, showing that the algorithm has better amplitude-preserved character.
The traditional split-step Fourier prestack depth migration is a migration method based on one-way wave equation, only reflecting kinematical feature of wave propagation and doing not reflect the dynamic feature of wave propagation, can't preserve true amplitude feature of seismic data. For that reason, the paper introduced split-step Fourier true amplitude prestack depth migration algorithm and implementing flow on the basis of traditional split step method, that is, the different true amplitude correction operators are introduced to carry out correction of the traditional operator in two steps implementing traditional split-step migration method, which can realize true amplitude imaging. The paper gave the test result of Marmousi model and migration results of practical seismic data by the algorithm, showing that the algorithm has better amplitude-preserved character.
引文
[1]马在田著.地震偏移成像技术.北京:石油工业出版社,1989
[2]Stoffa P L.Split-step Fourier migration.Geophysics,1990,55:410~421
[3]Gazdag J.Wave equation with phase-shift method.Geophysics,1978,43:1342~1351
[4]Zhang Y,Zhang G,Bleistein N.True amplitude wave equation migration arisingfromtrue amplitude one-way equations.Inverse Problems,2003,19:1113~1138
[5]Zhang Y,Xu S,Zhang G,Bleistein N.Howto obtain true amplitude common-angle gathers from one-way wave equation.Expanded Abstracts of74th SEG Mtg,2004
[6]Zhang Y,Zhang G,Bleistein N.Theory of true ampli-tude one-way wave equations and true amplitude com-mon shot migration.Geophysics,2005,70(3):1~10
[7]张关泉.波动方程的上行波方程和下行波的耦合方程组.应用数学学报,1993,16(2):251~263
[8]崔兴福,张关泉,吴雅丽.三维非均匀介质中真振幅地震偏移算子研究.地球物理学报,2004,47(3)
[2]Stoffa P L.Split-step Fourier migration.Geophysics,1990,55:410~421
[3]Gazdag J.Wave equation with phase-shift method.Geophysics,1978,43:1342~1351
[4]Zhang Y,Zhang G,Bleistein N.True amplitude wave equation migration arisingfromtrue amplitude one-way equations.Inverse Problems,2003,19:1113~1138
[5]Zhang Y,Xu S,Zhang G,Bleistein N.Howto obtain true amplitude common-angle gathers from one-way wave equation.Expanded Abstracts of74th SEG Mtg,2004
[6]Zhang Y,Zhang G,Bleistein N.Theory of true ampli-tude one-way wave equations and true amplitude com-mon shot migration.Geophysics,2005,70(3):1~10
[7]张关泉.波动方程的上行波方程和下行波的耦合方程组.应用数学学报,1993,16(2):251~263
[8]崔兴福,张关泉,吴雅丽.三维非均匀介质中真振幅地震偏移算子研究.地球物理学报,2004,47(3)