抛物线拉冬变换算法在近偏移距道数据恢复中的应用
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摘要
在地震数据处理中 ,恢复缺失的近偏移距道数据是一项非常重要的工作。本文简述了一种利用抛物线拉冬变换算法来实现空间插值的方法。该方法首先要对原始的共炮点道集 (或CMP道集 )进行动校正 ,然后通过选择正确的曲率参数对包含零偏移距道的数据作抛物线拉冬变换 ,再经反变换之后就可将原来缺失的数据正确地恢复出来。文中用理论合成记录验证了该方法的有效性。
Restoration of near-offset missing datum is an interesting and important problem in seismic data processing. Based on the Parabolic Radon transform, a method is presented for missing offset restoration in this paper. In this method, a partial NMO correction is first applied for common shot record (or common middle-point record), and then the chose proper curvature parameter “q”, and the Parabolic Radon transform is applied for the data contaiming zero traces at the missing offset locations. After inverse transform the original zero traces are fully reconstructed. Examples on synthetic demonstrate clearly the effectiveness of the method.
Restoration of near-offset missing datum is an interesting and important problem in seismic data processing. Based on the Parabolic Radon transform, a method is presented for missing offset restoration in this paper. In this method, a partial NMO correction is first applied for common shot record (or common middle-point record), and then the chose proper curvature parameter “q”, and the Parabolic Radon transform is applied for the data contaiming zero traces at the missing offset locations. After inverse transform the original zero traces are fully reconstructed. Examples on synthetic demonstrate clearly the effectiveness of the method.
引文
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[2 ] 刘清林 .Tau -p变换的频率域算法及Tau - p域的偏移处理 [J].长春地质学院学报 ,1986 (4 ) .
[3] BardanV .Traceinterpolationinseismicdataprocessing [J].GeophysicalProspecting ,1987,35:343～358.
[4 ] BerkhoutA .J.SeimicMigration ,PracticalAspects [A].DevelopmentsinSolidEarthGeophysics,14B[C].ElsevierSciencePublishingCo .,1984 .
[5] BeyklinG .DiscreteRadonTransform .IEEE [A]TransectionsonAcoustic ,SpeechandSignalProcessingASSP - 35[C].1987:16 2～ 172 .
[6 ] DarcheG .Spatialinterpolationusingafastparabolictransform [A].6 0thSEGmeeting ,SanFrancisco ,ExpandedAbstracts [C].1990 :16 4 7～ 16 50 .
[7] HampsonD .Inversevelocitystackingformultipleelimination [J].JournaloftheCanadianSocietyofEx plorationGeophysics,1986 ,2 2 :4 4～ 4 5.
[8] BerkhoutA .J.AppliedSeismicWaveTheory [A].AdvancesinExplorationGeophysics [C].ElservierSciencePublishingCo .,1987.
[9] VerschuurD .Surface -relatedmultipleelimination ,aninversionapproach [D].Ph .D .thesis,DelftUni versityofTechno ,1991.
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