保持圆对称性的三维地震偏移算法
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摘要
在波的传播特征分析基础上,对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究,结果表明,交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性,而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法,在油田勘探开发中具有较好的应用前景。
Based on wave propagation feature,this paper analyses 3D seismic migration algorithms such as alternating direction implicit method,LU decomposition method,and inverse operator approach method.The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy;however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field,and are promising in oilfield exploration and development.
Based on wave propagation feature,this paper analyses 3D seismic migration algorithms such as alternating direction implicit method,LU decomposition method,and inverse operator approach method.The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy;however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field,and are promising in oilfield exploration and development.
引文
[1]王振华.三维波动方程P-R分裂偏移[J].石油地球物理勘探,1990,25(4):379～397.
[2]Rickett and Claerbout.Implicit3-D depth migration by wavefield extrapolation with helical boundary conditions[M].America:68th Ann.Internat.Mtg Soc.Expl.Geophys.,Expanded Abstracts,1998:1123～1126.
[3]Wilson.Factorization of the covariance generating function of a pure moving average process[J].SIAM J.Number Anal,1969,6(1):1～7.
[4]Dianxiang Shi.Inverse operator approximation in3D seismic finite-difference migration[M].henzhen:/SPG International Symposium on Reservoir Geophysics,2000:267～273.
[2]Rickett and Claerbout.Implicit3-D depth migration by wavefield extrapolation with helical boundary conditions[M].America:68th Ann.Internat.Mtg Soc.Expl.Geophys.,Expanded Abstracts,1998:1123～1126.
[3]Wilson.Factorization of the covariance generating function of a pure moving average process[J].SIAM J.Number Anal,1969,6(1):1～7.
[4]Dianxiang Shi.Inverse operator approximation in3D seismic finite-difference migration[M].henzhen:/SPG International Symposium on Reservoir Geophysics,2000:267～273.
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