抛物Radon变换法近偏移距波场外推
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摘要
本文给出了抛物Radon变换的基本原理,以及部分动校正后的CMP道集抛物线近似有效性的证明,基于带限正反最小平方抛物Radon变换的Levinson递推算法,对缺失的近偏移距地震波场进行叠前重建和外推.给出了抛物Radon变换法地震道重建外推的基本原理和叠前地震数据规则化的处理流程,另外对于Radon域均匀采样的情形,本文给出了均匀层状介质和Marmousi模型的近偏移距外推结果,计算结果验证了算法的稳定性和适用性.
The basic principle of parabolic Radon transform is given in this paper, and also the verification of validity of parabolic approximation after partial normal moveout(NMO)correction for common midpoint(CMP) gather. Prestack near offset extrapolation result is shown based on band limited forward and inverse least square parabolic Radon transform. The basic principle of seismic trace reconstruction and extrapolation of PRT approach and the corresponding prestack processing full algorithm is shown in this paper. The reconstruction and extrapolation result of layered formation and Marmousi model demonstrate the given algorithm's stability.
The basic principle of parabolic Radon transform is given in this paper, and also the verification of validity of parabolic approximation after partial normal moveout(NMO)correction for common midpoint(CMP) gather. Prestack near offset extrapolation result is shown based on band limited forward and inverse least square parabolic Radon transform. The basic principle of seismic trace reconstruction and extrapolation of PRT approach and the corresponding prestack processing full algorithm is shown in this paper. The reconstruction and extrapolation result of layered formation and Marmousi model demonstrate the given algorithm's stability.
引文
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[21]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究[J].地球物理学报,2004,47(2):121～127.
[2]KabirMMN,VerschuurDJ.Restorationofmissingoffsets byparabolicRadonTransform[J].GeophysProsp,1995,43:347～368.
[3]VerschuurD.Surface relatedmultipleelimination,aninver sionapproach[D].PhDthesis,DelftUniversityofTechnolo gy,1991.
[4]SpitzS.SeismictraceinterpolationinF-Xdomain[J].Geo physics,1991,56:785～794.
[5]DuijndamAJW,SchonewilleM,HindriksC.Reconstruction ofseismicsignals,irregularlysampledalongonespatialcoordi nate[J]:Geophysics,1999,64:524～538.
[6]HampsonD.Inversevelocitystackingformultipleelimination[J].JournaloftheCanadianSocietyofExplorationgeophysi cists,1986,22:44～55.
[7]ThorsonR,ClaerboutJ.Velocity stackandslant-stacksto chasticinversion[J].Geophysics,1985,50(4):2727～2741.
[8]DarcheG.SpatialinterpolationusingafastparabolicRadon transform[J].60thAnnualInternatMtgSocExplGeophys,Expandedabstracts,1990,1647～1650.
[9]SacchiM,UlrychT.High resolutionvelocitygatherandoff setspacereconstruction[J].Geophysics,1995,60(4):1169～1177.
[10]SacchiM,PorsaniM.FasthighresolutionparabolicRadon transform[J].69thAnnualInternatMtgSocExplGeophys,Expandedabstracts,1999,1477～1480.
[11]TradD,UlrychJ,SacchiM.Accurateinterpolationwith high resolutiontime variantRadontransforms[J].Geophys ics,2002,67(2):644～656.
[12]TradD,UlrchT,SacchiM.LatestviewsofthesparseRa dontransform[J].Geophysics,2003,68:386～399.
[13]KostovC.Toeplitzstructureinslant stackinversion[J].60thAnnualInternatMtgSocExplGeophysExpandedab stracts,1990,1618～1621.
[14]李世雄,叶雅梅,李嘉禹.数据严重缺少的Radon变换的反演[J].地球物理学报,1999,38(3):367～377.
[15]胡天跃,王润秋,R.E.White.地震资料处理中的聚束滤波方法[J].地球物理学报,2000,43(1):105～115.
[16]朱生旺,魏修成,李锋,等.用抛物Radon变换稀疏解分离和压制多次波[J].石油地球物理勘探,2002,37(2):110～115.
[17]刘喜武,刘洪,李幼铭.高分辨率Radon变换方法及其在地震信号处理中的应用[J].地球物理学进展,2004,19(1):8～15.
[18]牛滨华,孙春岩,张中杰,等.多项式Radon变换[J].地球物理学报,2001,44(2):263～271.
[19]黄新武,吴律,宋炜.拉东投影法三维叠前深度偏移[J].地球物理学报,2004,47(2):321～326.
[20]高星地震层析成像研究的回顾与展望[J].地球物理学进展,2000,15(4):41～45.
[21]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究[J].地球物理学报,2004,47(2):121～127.
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