奇异值分解地震纵、横波波场分离与去噪方法
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摘要
奇异值分解(SVD)滤波是利用地震信号在横向上的相干性差异来实现地震波场的分离与去噪。由于P-P波和P-S波在传播特性、视速度和相干性上存在差异,本文应用视速度信息,通过两次正常时差校正(NMO),分别把P-P波和P-S波校平,使之在横向上达到最佳相干性,然后分别两次通过SVD,提取目标信号的奇异值重构信号,从而实现地震纵、横波波场分离与去噪。
As one of seismic data processing approaches,singular value decomposition(SVD) filter uses the lateral coherence difference of seismic signals to achieve wavefield separation and denoising.However,the propagation characteristics,apparent velocities and coherences are quite different between P-P wave and P-S wave.In this paper,a new idea of SVD application is proposed.Based on apparent velocities information,we first apply normal moveout(NMO) processing respectively on P-P wave and P-S wave to align P-P wave and P-S wave into the best horizontal coherence.Then we extract reconstructed signals of singular values from target signals by SVD separately on P-P wave and P-S wave,Finally P-P wave and P-S wave separations as well as noise attenuation are obtained.
As one of seismic data processing approaches,singular value decomposition(SVD) filter uses the lateral coherence difference of seismic signals to achieve wavefield separation and denoising.However,the propagation characteristics,apparent velocities and coherences are quite different between P-P wave and P-S wave.In this paper,a new idea of SVD application is proposed.Based on apparent velocities information,we first apply normal moveout(NMO) processing respectively on P-P wave and P-S wave to align P-P wave and P-S wave into the best horizontal coherence.Then we extract reconstructed signals of singular values from target signals by SVD separately on P-P wave and P-S wave,Finally P-P wave and P-S wave separations as well as noise attenuation are obtained.
引文
[1]Hemon C H,Mace D.Use of the Karhunen-Loevetransformation in seismic data processing.Geophysi-cal Prospecting,1978,26(3):600～606
[2]Jones I F and Levy S.Signal-to-noise Karhunen Lo-eve transform.Geophysical Prospecting,1987,35(1):12～32
[3]Al-Yahya K M.Application of the partial Karhunen-Loeve transform to suppress random noise in seismicsections.Geophysical Prospecting,1991,39(1):77～93
[4]刘保童,朱光明.地震记录快速KL滤波的自组织神经网络方法.石油地球物理勘探,2005,40(6):632～Liu Baotong and Zhu Guangming.Fast KL filteringof seismic data by self-organizing neural networks ap-proach.OGP,2005,40(6):632～636
[5]刘保童,朱光明.地震数据正交投影分解方法的研究与应用.地球物理学进展,2005,20(3):650～660Liu Baotong and Zhu Guangming.Orthogonal decom-position approach of seismic data and its application.Progress in Geophysics,2005,20(3):654～660
[6]刘保童,朱光明.高精度广义KL变换波场分离与去噪.地球科学与环境学报,2005,27(3):59～62Liu Baotong and Zhu Guangming.Wave field separa-tion and denoising using generalized high precision KLtransform.Journal of Earth Sciences and Environ-ment,2005,27(3):59～62
[7]Sergio L M Freire,Tad J Ulrych.Application of sin-gular value decomposition to vertical seismic profi-ling.Geophysics,1988,53(6):778～785
[8]高静怀,朱光明,王玉贵.奇异值分解在VSP中的应用.西安地质学院学报,1992,14(3):71～78Gao Jinghuai,Zhu Guangming and Wang Yugui.SVDapplication for VSP data processing.Journal of Xi’an College of Geology,1992,14(3):71～78
[9]徐伯勋,白应甫,白旭滨等.奇异值分解在垂直地震剖面中的应用.石油物探,1993,32(3):60～72Xu Boxun,Bai Yingpu,Bai Xubin et al.SVD applica-tion for VSP data processing.GPP,1993,32(3):60～72
[10]Jackson G M,Mason I M,Greenhalgh S A.Principalcomponent transforms of triaxial recordings by singu-lar value decomposition.Geophysics,1991,56(4):528～533
[11]陈遵德,段天友,朱广生.SVD滤波方法的改进与应用.石油地球物理勘探,1994,29(6):783～792Chen Zunde,Duan Tianyou and Zhu Guangsheng.Im-provement of singular values decomposition filteringand application.OGP,1994,29(6):783～792
[13]陆文凯,牟永光.一种改进的SVD滤波器.石油地球物理勘探,1996,31(5):736～741Lu Wenkai and Mou Yongguang.An improved SVDfilter.OGP,1996,31(5):736～741
[14]詹毅.强相关干扰的自动追踪消除法.物探化探计算技术,2001,23(3):210～214Zhan Yi.An automatic-tracing method for the elimi-
[12]陈遵德.基于奇异值分解的倾角扫描叠加.江汉石油学院学报,1992,14(1):45～50Chen Zunde.Dip scan stacking with SVD.Journalof Jianghan Petroleum College,1992,14(1):45～50nation of strong correlation interference.ComputingTechniques for Geophysical and Geochemical Explo-ration,2001,23(3):210～214
[15]詹毅,赵波.自动追踪SVD压制线性干扰方法的改进.石油地球物理勘探,2008,43(2):158～160Zhan Yi and Zhao Bo.Improvement of suppressinglinear interference by automatically tracing SVD.OGP,2008,43(2):158～160
[16]李文杰,魏修成,刘洋等.SVD滤波法在直达波和折射波衰减处理中的应用.石油勘探与开发,2004,31(5):71～73Li Wenjie,Wei Xiucheng and Liu Yang et al.Appli-cation of SVD filtering in the processing of decayingdirect wave and refracted wave.PetroleumExplorationandDevelopment,2004,31(5):71～73
[17]牛滨华,孙春岩,王海军等.用SVD与MCC结合法压制地震波场的随机噪音.现代地质,1999,13(3):334～338Niu Binhua,Sun Chunyan,Wang Haijun et al.Atten-uation seismic random noise with SVD and MCCmethods.Geoscience,1999,13(3):334～338
[18]Bekara M and Van der Baan M.Local SVD/ICA forsignal enhancement of pre-stack seismic data.EAGE68th Conference&Technical Exhibition ExtendedAbstracts,2006
[19]沈鸿雁,李庆春.叠前地震资料SVD波场分离与去噪.西安石油大学油气资源学院创建10周年学术研讨会论文集.北京:石油工业出版社,2006,448～453
[20]Shen Hongyan,Li Qingchun.Seismic wave fields sep-aration and noise attenuation in frequency domain viasingular value decomposition.Near-Surface Geo-physics and Human Activity,2008,178～181
[21]Shen Hongyan,Li Qingchun.Seismic wave field se-paration and noise attenuation in linear domain viaSVD.SEG Technical Program Expanded Ab-stracts,2009,28:3386～3389
[22]沈鸿雁,李庆春.频域奇异值分解(SVD)地震波场去噪.石油地球物理勘探,2010,45(2):185～189Shen Hongyan,Li Qingchun.SVD(singular valuedecomposition)seismic wave field noise elimination.OGP,2010,45(2):185～189
[23]沈鸿雁,李庆春.SVD地震波场分离与去噪新思路.地球物理学进展,2010,25(1):225～230Shen Hongyan,Li Qingchun.New idea for seismicwave field separation and denoising by singular valuedecomposition(SVD).Progress in Geophysics,2010,25(1):225～230
[24]沈鸿雁,李庆春.线性域SVD地震波场分离与去噪方法.煤炭学报,2012,37(4):627～633Shen Hongyan,Li Qingchun.Seismic wave field se-paration and denoising in linear domain via singularvalue decomposition(SVD).Journal of China CoalSociety,2012,37(4):627～633
[2]Jones I F and Levy S.Signal-to-noise Karhunen Lo-eve transform.Geophysical Prospecting,1987,35(1):12～32
[3]Al-Yahya K M.Application of the partial Karhunen-Loeve transform to suppress random noise in seismicsections.Geophysical Prospecting,1991,39(1):77～93
[4]刘保童,朱光明.地震记录快速KL滤波的自组织神经网络方法.石油地球物理勘探,2005,40(6):632～Liu Baotong and Zhu Guangming.Fast KL filteringof seismic data by self-organizing neural networks ap-proach.OGP,2005,40(6):632～636
[5]刘保童,朱光明.地震数据正交投影分解方法的研究与应用.地球物理学进展,2005,20(3):650～660Liu Baotong and Zhu Guangming.Orthogonal decom-position approach of seismic data and its application.Progress in Geophysics,2005,20(3):654～660
[6]刘保童,朱光明.高精度广义KL变换波场分离与去噪.地球科学与环境学报,2005,27(3):59～62Liu Baotong and Zhu Guangming.Wave field separa-tion and denoising using generalized high precision KLtransform.Journal of Earth Sciences and Environ-ment,2005,27(3):59～62
[7]Sergio L M Freire,Tad J Ulrych.Application of sin-gular value decomposition to vertical seismic profi-ling.Geophysics,1988,53(6):778～785
[8]高静怀,朱光明,王玉贵.奇异值分解在VSP中的应用.西安地质学院学报,1992,14(3):71～78Gao Jinghuai,Zhu Guangming and Wang Yugui.SVDapplication for VSP data processing.Journal of Xi’an College of Geology,1992,14(3):71～78
[9]徐伯勋,白应甫,白旭滨等.奇异值分解在垂直地震剖面中的应用.石油物探,1993,32(3):60～72Xu Boxun,Bai Yingpu,Bai Xubin et al.SVD applica-tion for VSP data processing.GPP,1993,32(3):60～72
[10]Jackson G M,Mason I M,Greenhalgh S A.Principalcomponent transforms of triaxial recordings by singu-lar value decomposition.Geophysics,1991,56(4):528～533
[11]陈遵德,段天友,朱广生.SVD滤波方法的改进与应用.石油地球物理勘探,1994,29(6):783～792Chen Zunde,Duan Tianyou and Zhu Guangsheng.Im-provement of singular values decomposition filteringand application.OGP,1994,29(6):783～792
[13]陆文凯,牟永光.一种改进的SVD滤波器.石油地球物理勘探,1996,31(5):736～741Lu Wenkai and Mou Yongguang.An improved SVDfilter.OGP,1996,31(5):736～741
[14]詹毅.强相关干扰的自动追踪消除法.物探化探计算技术,2001,23(3):210～214Zhan Yi.An automatic-tracing method for the elimi-
[12]陈遵德.基于奇异值分解的倾角扫描叠加.江汉石油学院学报,1992,14(1):45～50Chen Zunde.Dip scan stacking with SVD.Journalof Jianghan Petroleum College,1992,14(1):45～50nation of strong correlation interference.ComputingTechniques for Geophysical and Geochemical Explo-ration,2001,23(3):210～214
[15]詹毅,赵波.自动追踪SVD压制线性干扰方法的改进.石油地球物理勘探,2008,43(2):158～160Zhan Yi and Zhao Bo.Improvement of suppressinglinear interference by automatically tracing SVD.OGP,2008,43(2):158～160
[16]李文杰,魏修成,刘洋等.SVD滤波法在直达波和折射波衰减处理中的应用.石油勘探与开发,2004,31(5):71～73Li Wenjie,Wei Xiucheng and Liu Yang et al.Appli-cation of SVD filtering in the processing of decayingdirect wave and refracted wave.PetroleumExplorationandDevelopment,2004,31(5):71～73
[17]牛滨华,孙春岩,王海军等.用SVD与MCC结合法压制地震波场的随机噪音.现代地质,1999,13(3):334～338Niu Binhua,Sun Chunyan,Wang Haijun et al.Atten-uation seismic random noise with SVD and MCCmethods.Geoscience,1999,13(3):334～338
[18]Bekara M and Van der Baan M.Local SVD/ICA forsignal enhancement of pre-stack seismic data.EAGE68th Conference&Technical Exhibition ExtendedAbstracts,2006
[19]沈鸿雁,李庆春.叠前地震资料SVD波场分离与去噪.西安石油大学油气资源学院创建10周年学术研讨会论文集.北京:石油工业出版社,2006,448～453
[20]Shen Hongyan,Li Qingchun.Seismic wave fields sep-aration and noise attenuation in frequency domain viasingular value decomposition.Near-Surface Geo-physics and Human Activity,2008,178～181
[21]Shen Hongyan,Li Qingchun.Seismic wave field se-paration and noise attenuation in linear domain viaSVD.SEG Technical Program Expanded Ab-stracts,2009,28:3386～3389
[22]沈鸿雁,李庆春.频域奇异值分解(SVD)地震波场去噪.石油地球物理勘探,2010,45(2):185～189Shen Hongyan,Li Qingchun.SVD(singular valuedecomposition)seismic wave field noise elimination.OGP,2010,45(2):185～189
[23]沈鸿雁,李庆春.SVD地震波场分离与去噪新思路.地球物理学进展,2010,25(1):225～230Shen Hongyan,Li Qingchun.New idea for seismicwave field separation and denoising by singular valuedecomposition(SVD).Progress in Geophysics,2010,25(1):225～230
[24]沈鸿雁,李庆春.线性域SVD地震波场分离与去噪方法.煤炭学报,2012,37(4):627～633Shen Hongyan,Li Qingchun.Seismic wave field se-paration and denoising in linear domain via singularvalue decomposition(SVD).Journal of China CoalSociety,2012,37(4):627～633
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