f-x域Cadzow技术分块压制随机噪声及其应用
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摘要
介绍了一种f-x域Cadzow滤波分块压制随机噪声的技术。首先构建Hankel矩阵,然后利用复数域奇异值分解(SVD)技术进行特征值分解,利用优选特征值的加权并通过替换频率切片实现随机噪声的压制。采用分块处理解决实际地震资料中存在的倾角变化非稳态问题,与传统的假设同相轴水平的SVD技术相比,该技术无需对同相轴进行任何相对时差校正,在假设线性同相轴条件下适应同相轴交错的复杂情况。模型数据处理结果表明,如果地层的倾角个数与选取的特征值个数相同,则对无噪数据没有损害。实际资料处理结果表明,f-x域Cadzow滤波技术是一种稳健的压制随机噪声的技术。
The Cadzow technique in f-x domain was presented to attenuate random noise in a patch manner.Firstly,a Hankel matrix is constructed.Then,the Singular Value Decomposition(SVD)technique is used to decompose eigenvalues in complex field,and random noise is attenuated by replacing constant-frequency slices with the optimum weighted eigenvalues.Patch processing is utilized to solve the problem of nonstationary variation of dip angle in actual seismic data.Compared with the traditional SVD technique with the hypothesis of horizontal events,our technique does not require any assumption on the orientation of events,which does not need the relative moveout correction on the event.Meanwhile,the method is suitable for both flat and dipping events with the assumption of linear events.The model testing result indicates that the signal of the seismic data without noise will not be damaged if the number of formation dip is equal to the number of selected eigenvalues.The actual application shows that the Cadzow technique technique in f-x domain is robust for random noise attenuation.
The Cadzow technique in f-x domain was presented to attenuate random noise in a patch manner.Firstly,a Hankel matrix is constructed.Then,the Singular Value Decomposition(SVD)technique is used to decompose eigenvalues in complex field,and random noise is attenuated by replacing constant-frequency slices with the optimum weighted eigenvalues.Patch processing is utilized to solve the problem of nonstationary variation of dip angle in actual seismic data.Compared with the traditional SVD technique with the hypothesis of horizontal events,our technique does not require any assumption on the orientation of events,which does not need the relative moveout correction on the event.Meanwhile,the method is suitable for both flat and dipping events with the assumption of linear events.The model testing result indicates that the signal of the seismic data without noise will not be damaged if the number of formation dip is equal to the number of selected eigenvalues.The actual application shows that the Cadzow technique technique in f-x domain is robust for random noise attenuation.
引文
[1]王振国,汪恩华.小波包相关阀值去噪[J].石油物探,2002,41(4):400-405Wang Z G,Wang E H.Noise elimination with cor-relative threshold plus wavelet packet transforma-tion[J].Geophysical Prospecting for Petroleum,2002,41(4):400-405
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[11]冯兴强,杨长春,龙志祎.基于奇异值分解的f-x-y域滤波方法[J].物探与化探,2005,29(2):171-173Feng X Q,Yang C C,Long Z W.The filtering meth-od in f-x-y domain based on singular value decom-postion[J].Geophysical and Geochemical Explora-tion,2005,29(2):171-173
[12]陆文凯,李衍达.SVD分解提高地震资料的信噪比和分辨率[J].石油地球物理勘探,1998,33(增刊1):145-149Lu W K,Li Y D.Enhancemeng of seismic data’s S/N and resolution[J].Oil Geophysical Prospecting,1998,33(S1):145-149
[13]陆文凯,李衍达.利用SVD分解法对任意道距道内插[J].石油地球物理勘探,1997,32(4):582-588Lu W K,Li Y D.Interpolation of irregular spacedseismic traces via SVD method[J].Oil GeophysicalProspecting,1997,32(4):582-588
[14]Tricket S.F-xy Cadzow noise suppression[J].Ex-panded Abstracts of 78th Annual Internat SEGMtg,2008,2586-2590
[15]Oropeza V E,Sacchi M D.Multifrequency singularspectrum analysis[J].Expanded Abstracts of 77thAnnual Internat SEG Mtg,2009,3193-3197
[16]Sacchi M D.FX Singular spectrum analysis[J].2009CSPG CSEG CWLS Convention,2009,392-395
[17]Cadzow J A.Signal enhancement-a composite propertymapping algorithm[J].IEEE Transactions on Acous-tics,Speech,and Signal Processing,1988,36(1):49-62
[18]Stephenson R.Linear prediction and maximum entropymethods in NMR spectroscopy[J].Progress in NuclearMagnetic Resonance Spectroscopy,1988,20(6):515-626
[2]吕景贵,刘振彪,管叶君.压制叠前相干噪音的速度变换域滤波方法[J].石油物探,2001,40(4):94-99LüJ G,Liu Z B,Guan Y Z.Prestack coherent noisesuppression via filtering in different velocity domains[J].Geophysical Prospecting for Petroleum,2001,40(4):94-99
[3]张军华,吕宁,雷凌,等.抛物线拉冬变换消除多次波的应用要素分析[J].石油地球物理勘探,2004,39(4):398-405Zhang J H,LüN,Lei Ling,et al.Analysis of appliedfactors for using parabolic Radon transform to re-move multiple[J].Oil Geophysical Prospecting,2004,39(4):398-405
[4]Golub G H,Reinsch C.Handbook for automaticcomputation,linear algebra[M].New York,USA:Springer-Verlay,1971:439-457
[5]Andrews H C,Patterson C L.Outer product expan-sions and their uses in digital image processing[J].IEEE Transactions Computers,1976,25(2):140-148
[6]Ulrych T J,Sacchi M D,Freire S L M.Eigenimage pro-cessing of seismic sections[J].Expanded Abstracts of67th Annual Internat SEG Mtg,1999,241-274
[7]Jones I F,Levy S.Signal-to-noise ratio enhancement inmultichannel seismic data via the Karhunen-Loeve trans-form[J].Geophysical Prospecting,1987,35(1):12-32
[8]Gounon P Y,Mars J I,Goncalves D.Wideband spec-tral matrix filtering[J].Expanded Abstracts of 68thAnnual Internat SEG Mtg,1998,1150-1153
[9]詹毅,赵波.自动追踪SVD压制线性干扰方法的改进[J].石油地球物理勘探,2008,43(2):158-160Zhan Y,Zhao B.Improvement of suppressing linearinterference by automatically tracing SVD[J].OilGeophysical Prospecting,2008,43(2):158-160
[10]詹毅,周熙襄.小波包分析与奇异值分解(SVD)叠前去噪方法[J].石油地球物理勘探,2004,39(4):394-397Zhan Y,Zhou X R.Analysis of wavelet package andprestack noise suppressed method in singular valuedecomposition(SVD)[J].Oil Geophysical Prospec-ting,2004,39(4):394-397
[11]冯兴强,杨长春,龙志祎.基于奇异值分解的f-x-y域滤波方法[J].物探与化探,2005,29(2):171-173Feng X Q,Yang C C,Long Z W.The filtering meth-od in f-x-y domain based on singular value decom-postion[J].Geophysical and Geochemical Explora-tion,2005,29(2):171-173
[12]陆文凯,李衍达.SVD分解提高地震资料的信噪比和分辨率[J].石油地球物理勘探,1998,33(增刊1):145-149Lu W K,Li Y D.Enhancemeng of seismic data’s S/N and resolution[J].Oil Geophysical Prospecting,1998,33(S1):145-149
[13]陆文凯,李衍达.利用SVD分解法对任意道距道内插[J].石油地球物理勘探,1997,32(4):582-588Lu W K,Li Y D.Interpolation of irregular spacedseismic traces via SVD method[J].Oil GeophysicalProspecting,1997,32(4):582-588
[14]Tricket S.F-xy Cadzow noise suppression[J].Ex-panded Abstracts of 78th Annual Internat SEGMtg,2008,2586-2590
[15]Oropeza V E,Sacchi M D.Multifrequency singularspectrum analysis[J].Expanded Abstracts of 77thAnnual Internat SEG Mtg,2009,3193-3197
[16]Sacchi M D.FX Singular spectrum analysis[J].2009CSPG CSEG CWLS Convention,2009,392-395
[17]Cadzow J A.Signal enhancement-a composite propertymapping algorithm[J].IEEE Transactions on Acous-tics,Speech,and Signal Processing,1988,36(1):49-62
[18]Stephenson R.Linear prediction and maximum entropymethods in NMR spectroscopy[J].Progress in NuclearMagnetic Resonance Spectroscopy,1988,20(6):515-626
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