利用偏移进行视反射率估计的初步研究
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摘要
视反射率估计是地震数据处理解释中的一项重要内容,通常采用反演的方法得到.本文以地震偏移和地震线性反演理论相结合为基础,并利用保幅单程波传播算子和保幅波动方程叠前偏移算法以及成像空间中的角度域波动方程偏移成像和照明补偿等方法技术,提出了一种利用单程波波动方程偏移进行地下反射面视反射率估计方法,并进行了理论模型的数值试验.这种估计方法得到的视反射率估计是一种近法向入射的小角度反射率.
The apparent reflectivity estimation is a fundamental issue in seismic data processing,usually it is obtained by the inversion approach.In this paper,based on the combination of seismic migration and seismic linear inverse theory,and using the preserved amplitude one-way wave propagator,the preserved amplitude wave equation prestack migration algorithm,and the techniques of angle-domain wave equation migration and illumination compensation in imaging space,an apparent reflectivity estimation method for subsurface reflector is presented through the one-way wave equation migration.Some numerical tests on theoretical model are implemented.The apparent reflectivity estimation obtained by the method presented in this paper is the reflectivity of small incident angle close to the normal direction.
The apparent reflectivity estimation is a fundamental issue in seismic data processing,usually it is obtained by the inversion approach.In this paper,based on the combination of seismic migration and seismic linear inverse theory,and using the preserved amplitude one-way wave propagator,the preserved amplitude wave equation prestack migration algorithm,and the techniques of angle-domain wave equation migration and illumination compensation in imaging space,an apparent reflectivity estimation method for subsurface reflector is presented through the one-way wave equation migration.Some numerical tests on theoretical model are implemented.The apparent reflectivity estimation obtained by the method presented in this paper is the reflectivity of small incident angle close to the normal direction.
引文
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[3]Audebert F,Nicoletis L,Froidevaux P,et al.True-amplitude migration in the angle domain by regularization of illumination.73rdAnn.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2003
[4]Audebert F,Nicoletis L,Froidevaux P.Regulariztion of illumination in angle domains—a key to true amplitude migration.The Leading Edge,2005,24:643～654
[5]刘伊克,常旭,卢孟夏等.目标函数叠前保幅偏移方法与应用.地球物理学报,2006,49(4):1150～1154Liu Y K,Chang X,Lu M X,et al.Objective function prestack amplitude preserving migration and its application.Chinese J.Geophys.(in Chinese),2006,49(4):1150～1154
[6]张宇.振幅保真的单程波方程偏移理论.地球物理学报,2006,49(5):1410～1430Zhang Y.The theory of true amplitude one-way waveequation migration.Chinese J.Geophys.(in Chinese),2006,49(5):1410～1430
[7]Rickett J.Illumination-based normalizationfor wave-equation depth migration.Geophysics,2003,68:1371～1379
[8]Wu R S,Chen S,Luo M.Amplitude corrections in angle-domain using beamlet decomposition for wave-equation based migration.66thAnnual Conference,European Association of Geoscientists and Engineers,2004
[9]陈生昌,马在田,Wu Ru-Shan.波动方程偏移成像阴影的照明补偿.地球物理学报,2007,50(3):844～850Chen S C,Ma Z T,Wu R S.Illumination compensation for wave equation migration shadow.Chinese J.Geophys.(in Chinese),2007,50(3):844～850
[10]Wapenaar C P A,Berkhout A J.Elastic Wavefield Extrapolation:Redatuming of Single-and Multicomponent Seismic Data.Elsevier Science Publ.Co.,Inc.,1989
[11]Mallat S.A Wavelet Tour of Signal Processing.New York:Academic Press,1998
[12]Qian S,Chen D.Discrete Gabor transform.IEEE Trans.Signal Proc.,1993,41(7):2429～2436
[13]Qian S,Chen D.Joint Time-Frequency Analysis,Methods and Applications.NJ:Prentice Hall PTR,1996
[2]马在田.地震成像技术,有限差分偏移.北京:石油工业出版社,1989Ma Z T.Seismic Migration Technique,Finite Difference Migration(in Chinese).Beijing:Petroleum Industry Press,1989
[3]Audebert F,Nicoletis L,Froidevaux P,et al.True-amplitude migration in the angle domain by regularization of illumination.73rdAnn.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2003
[4]Audebert F,Nicoletis L,Froidevaux P.Regulariztion of illumination in angle domains—a key to true amplitude migration.The Leading Edge,2005,24:643～654
[5]刘伊克,常旭,卢孟夏等.目标函数叠前保幅偏移方法与应用.地球物理学报,2006,49(4):1150～1154Liu Y K,Chang X,Lu M X,et al.Objective function prestack amplitude preserving migration and its application.Chinese J.Geophys.(in Chinese),2006,49(4):1150～1154
[6]张宇.振幅保真的单程波方程偏移理论.地球物理学报,2006,49(5):1410～1430Zhang Y.The theory of true amplitude one-way waveequation migration.Chinese J.Geophys.(in Chinese),2006,49(5):1410～1430
[7]Rickett J.Illumination-based normalizationfor wave-equation depth migration.Geophysics,2003,68:1371～1379
[8]Wu R S,Chen S,Luo M.Amplitude corrections in angle-domain using beamlet decomposition for wave-equation based migration.66thAnnual Conference,European Association of Geoscientists and Engineers,2004
[9]陈生昌,马在田,Wu Ru-Shan.波动方程偏移成像阴影的照明补偿.地球物理学报,2007,50(3):844～850Chen S C,Ma Z T,Wu R S.Illumination compensation for wave equation migration shadow.Chinese J.Geophys.(in Chinese),2007,50(3):844～850
[10]Wapenaar C P A,Berkhout A J.Elastic Wavefield Extrapolation:Redatuming of Single-and Multicomponent Seismic Data.Elsevier Science Publ.Co.,Inc.,1989
[11]Mallat S.A Wavelet Tour of Signal Processing.New York:Academic Press,1998
[12]Qian S,Chen D.Discrete Gabor transform.IEEE Trans.Signal Proc.,1993,41(7):2429～2436
[13]Qian S,Chen D.Joint Time-Frequency Analysis,Methods and Applications.NJ:Prentice Hall PTR,1996
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