加权抛物Radon变换叠前地震数据重建
|
摘要
基于部分动校正(NMO)后反射同相轴在CMP道集上的抛物线走时近似,给出了加权抛物Radon变换叠前地震数据重建方法(WPRT).WPRT通过在迭代过程中引入变化着的权系数,拓展和改进了传统抛物Radon变换方法,使其可同时完成不规则采样的规则化和空道及近偏移距道重建,且有更高的计算效率.文中给出了应用WPRT进行近偏移距和中偏移距的空地震道重建及数据规则化的算法实现.理论模型和实际地震资料的地震数据重建结果显示了本文算法的优点.
Weighted Parabolic Radon Transform (WPRT) method for prestack seismic data reconstruction is proposed based on the parabolic assumption of seismic events in CMP gather after the partial NMO. Owing to introducing varying weight coefficients in WPRT, the proposed WPRT can simultaneously regularize and reconstruct the irregular seismic data with a lot of missing traces, which means a very important improvement to the conventional parabolic Radon transform. The implementation of the proposed algorithm is presented for the complex irregular seismic data and the data with missing traces of near and medium offsets. The results of the theoretical model and the field data demonstrate the effectiveness of the method.
Weighted Parabolic Radon Transform (WPRT) method for prestack seismic data reconstruction is proposed based on the parabolic assumption of seismic events in CMP gather after the partial NMO. Owing to introducing varying weight coefficients in WPRT, the proposed WPRT can simultaneously regularize and reconstruct the irregular seismic data with a lot of missing traces, which means a very important improvement to the conventional parabolic Radon transform. The implementation of the proposed algorithm is presented for the complex irregular seismic data and the data with missing traces of near and medium offsets. The results of the theoretical model and the field data demonstrate the effectiveness of the method.
引文
[1]Hampson D.Inverse velocity stacking for multiple elimination.Journal ofthe Canadian Society of Exploration Geophysicists,1986,22:44~55
[2]Kabir MMN,Marfurt KJ.Towardtrue amplitude multiple removal.The Leading Edge,1999,18(1):66~73
[3]Wang Y.Multiple attenuation:coping with the spatial truncation effect in the Radon transform domain.Geophysical Prospecting,2003,51:75~87
[4]Kabir M M N,Verschuur D J.Restoration of missing offsets by parabolic Radontransform.Geophys.Prosp.,1995,43:347~368
[5]Duijndam A J W,Schonewille M A,Hindriks C O H.Reconstruction of band-limited signals,irregularly sampled along one spatial direction.Geophysics,1999,64:524~538
[6]Wang Y.Sparseness-constrained least-square inversion:application to seismic wave reconstruction.Geophysics,2003,68:1633~1638
[7]Sacchi M D,Ulrych TJ.Improving resolution of Radon operators using a model re-weightedleast squares procedure.Journal ofSeismic Exploration,1995,4:315~328
[8]Sacchi MD,Ulrych TJ.High-resolution velocity gather and offset space reconstruction.Geophysics,1995,60(4):1169~1177
[9]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究.地球物理学报,2004,47(2):299~305Liu X W,Liu H,Liu B.Astudy on algorithmfor reconstruction ofde-alias uneven seismic data.Chinese J.Geophys.(in Chinese),2004,47(2):299~305
[10]Trad D,Ulrch TJ,Sacchi MD.Latest views of the sparse Radon transform.Geophysics,2003,68:386~399
[11]Schonewille MA,Hegge R,Van Borselen R.Acomparisonof sparse inversion techniques for3D SRME.67th Mtg.,Eur.Assoc.of Geose.And Eng..Expanded Abstracts,2005
[12]Jager C,Hertweck P,Hubral P.The unified approach and its applications:wave-equation based trace interpolation.72th Ann.Internat.Mtg.,Soc.Expl.Geophys..Expanded Abstracts,2002.2178~2181
[13]Trad D,Ulrych TJ,Sacchi MD.Accurate interpolation with high-resolution time-variant Radontransforms.Geophysics,2002,67(2):644~656
[14]Schonewille M A,Duijndam A J W.Parabolic Radon transform,sampling and efficiency.Geophysics,2001,66:667~678
[15]刘礼农,崔凤林,张剑锋.三维复杂构造中地震波模拟的单程波方法.地球物理学报,2004,47(3):514~520Liu L N,Cui F L,Zhang J F.Seismic modeling with one-way wave equation in3-D complex structures.Chinese J.Geophys.(in Chinese),2004,47(3):514~520
[16]Sacchi M D,Porsani M.Fast high resolution parabolic Radon transform.69th Ann.Internat.Mtg.,Soc.Expl.Geophys..Expanded Abstracts,1999
[2]Kabir MMN,Marfurt KJ.Towardtrue amplitude multiple removal.The Leading Edge,1999,18(1):66~73
[3]Wang Y.Multiple attenuation:coping with the spatial truncation effect in the Radon transform domain.Geophysical Prospecting,2003,51:75~87
[4]Kabir M M N,Verschuur D J.Restoration of missing offsets by parabolic Radontransform.Geophys.Prosp.,1995,43:347~368
[5]Duijndam A J W,Schonewille M A,Hindriks C O H.Reconstruction of band-limited signals,irregularly sampled along one spatial direction.Geophysics,1999,64:524~538
[6]Wang Y.Sparseness-constrained least-square inversion:application to seismic wave reconstruction.Geophysics,2003,68:1633~1638
[7]Sacchi M D,Ulrych TJ.Improving resolution of Radon operators using a model re-weightedleast squares procedure.Journal ofSeismic Exploration,1995,4:315~328
[8]Sacchi MD,Ulrych TJ.High-resolution velocity gather and offset space reconstruction.Geophysics,1995,60(4):1169~1177
[9]刘喜武,刘洪,刘彬.反假频非均匀地震数据重建方法研究.地球物理学报,2004,47(2):299~305Liu X W,Liu H,Liu B.Astudy on algorithmfor reconstruction ofde-alias uneven seismic data.Chinese J.Geophys.(in Chinese),2004,47(2):299~305
[10]Trad D,Ulrch TJ,Sacchi MD.Latest views of the sparse Radon transform.Geophysics,2003,68:386~399
[11]Schonewille MA,Hegge R,Van Borselen R.Acomparisonof sparse inversion techniques for3D SRME.67th Mtg.,Eur.Assoc.of Geose.And Eng..Expanded Abstracts,2005
[12]Jager C,Hertweck P,Hubral P.The unified approach and its applications:wave-equation based trace interpolation.72th Ann.Internat.Mtg.,Soc.Expl.Geophys..Expanded Abstracts,2002.2178~2181
[13]Trad D,Ulrych TJ,Sacchi MD.Accurate interpolation with high-resolution time-variant Radontransforms.Geophysics,2002,67(2):644~656
[14]Schonewille M A,Duijndam A J W.Parabolic Radon transform,sampling and efficiency.Geophysics,2001,66:667~678
[15]刘礼农,崔凤林,张剑锋.三维复杂构造中地震波模拟的单程波方法.地球物理学报,2004,47(3):514~520Liu L N,Cui F L,Zhang J F.Seismic modeling with one-way wave equation in3-D complex structures.Chinese J.Geophys.(in Chinese),2004,47(3):514~520
[16]Sacchi M D,Porsani M.Fast high resolution parabolic Radon transform.69th Ann.Internat.Mtg.,Soc.Expl.Geophys..Expanded Abstracts,1999
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心