基于系数相关性阈值的波原子域叠前地震资料信噪分离方法
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摘要
本文提出了基于波原子域的叠前地震资料信噪分离方法,首先在波原子域进行多尺度分解,然后根据能量集中原则,采用不同尺度间系数相关性分离有效信号和噪声。数值模拟及实际资料的处理表明,基于系数相关性阈值的波原子域叠前地震资料信噪分离方法可以有效压制随机噪声,同时能兼顾抑制部分相干噪声。处理后地震剖面的信噪比得到了大幅提高,反射同相轴更加连续,为后续的处理解释提供了高信噪比的数据。
The signal-noise separation method for pre-stack seismic data in the wave atomic domain was proposed in this paper,at first the multi-scale decomposition was conducted in the wave atomic domain,then based on the energy concentration principle the coefficient correlation for the different scales were utilized to separate effective signal and the noise.The results of numerical simulation and field data processing indicate that the pre-stack seismic data signal-noise separation method which is based on the coefficient correlation threshold in the wave atomic domain could effectively suppresses the random noise,meanwhile it also could restrain some coherent noise.It can be seen that the signal to noise ratio for the processed seismic sections was greatly raised and the reflection events were more continuous,providing high signal to noise sections for the subsequent processing.
The signal-noise separation method for pre-stack seismic data in the wave atomic domain was proposed in this paper,at first the multi-scale decomposition was conducted in the wave atomic domain,then based on the energy concentration principle the coefficient correlation for the different scales were utilized to separate effective signal and the noise.The results of numerical simulation and field data processing indicate that the pre-stack seismic data signal-noise separation method which is based on the coefficient correlation threshold in the wave atomic domain could effectively suppresses the random noise,meanwhile it also could restrain some coherent noise.It can be seen that the signal to noise ratio for the processed seismic sections was greatly raised and the reflection events were more continuous,providing high signal to noise sections for the subsequent processing.
引文
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[9]张恒磊,张云翠,宋双,刘天佑.基于Curvelet域的叠前地震资料去噪方法.石油地球物理勘探,2008,43(5):508~513Zhang Heng-lei,Zhang Yun-cui,Song Shuang,LiuTian-you.Curvelet domain-based prestack seismic da-ta denoise method.OGP,2008,43(5):508~513
[10]Villemoes L.Wavelet packets with uniform time-fre-quency localization.Comptes-Rendus Mathematique,2002,335(10):793~796
[2]Candes E J.Ridgelets:Theory and Applications[D].Department of Statistics,Stanford University,USA,1998,1~166
[3]Candes E J,Demanet L and Donoho D L.Fast dis-crete curvelet transforms,applied and computationalmathematics.California Institute Technology,Pasade-na,California,USA,2005,1~43
[4]Do M N,Vetterli M.The contourlet transform:an ef-ficiet directional multiresolution image representa-tion.IEEE Transactions Image on Processing,2005,14(12):2091~2106
[5]Donoho D L.Wedgelets:nearly minimax estimation ofedges.Ann Statist,1999,27:859~897
[6]Coifman R R,Meyer Y,Quake S,Wickerhauser MV.Signal processing and compression with wavepackets∥Meyer Y,Roques S eds.Progress in Wave-let Analysis and Application.Gif-sur-Yvette,1993,77~93
[7]Demanet L and Ying L X.Wave atoms and aparsityof oscillatory patterns.Applied and ComputationalHarmonic Analysis,2007,23(3):368~387
[8]Neelamani Ramesh,Baumstein Anatoly I,GillardDominique G et al.Coherent and random noise atten-uation using the curvelet transform.The LeadingEdge,2008,27(2):240~248
[9]张恒磊,张云翠,宋双,刘天佑.基于Curvelet域的叠前地震资料去噪方法.石油地球物理勘探,2008,43(5):508~513Zhang Heng-lei,Zhang Yun-cui,Song Shuang,LiuTian-you.Curvelet domain-based prestack seismic da-ta denoise method.OGP,2008,43(5):508~513
[10]Villemoes L.Wavelet packets with uniform time-fre-quency localization.Comptes-Rendus Mathematique,2002,335(10):793~796
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