改进的1范数匹配滤波法及在南海深水盆地的应用
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摘要
地震勘探中多次波的存在会影响速度模型的建立、地震成像效果、反演和解释过程中的介质属性提取等,因此多次波的压制成为至关重要的研究课题.本文采用改进的1范数匹配滤波法,基于1范数对大值条件的开放性,利用预测出的多次波模型Hilbert变换道及求导道,从理论上克服2范数的大值条件,并改善常规1范数下的正交性条件,在一次波和多次波叠合之处及能量差异大的情况下有效压制多次波.模型及南海深水盆地实际海洋地震数据的处理结果显示了改进的1范数匹配方法在压制多次波方面相对于常规2范数、1范数的优越性.
Research on multiple elimination has been a vital subject,because its existence can influence the building of velocity model,the effect of imaging,the extraction of attributes during inversion and interpretation,and so on.This paper puts forward an improved matching method for multiple elimination based on L1-norm without big value constraining condition,and makes use of Hilbert transformation and derivation to get phase angle adjustment for different degrees.This improved method theoretically overcomes the big value condition of L2-norm,and ameliorates the orthogonal constraint condition under general L1-norm through multi-original channels and multi-transformed multiples.With this method,multiple waves are eliminated and primary reflections are retained under the intersection and great disparity between primary reflections and multiples.The results of Pluto model and field data from deepwater basin of South China Sea declare the improved L1-norm matching method is superior to general L2-norm,general L1-norm matching methods.
Research on multiple elimination has been a vital subject,because its existence can influence the building of velocity model,the effect of imaging,the extraction of attributes during inversion and interpretation,and so on.This paper puts forward an improved matching method for multiple elimination based on L1-norm without big value constraining condition,and makes use of Hilbert transformation and derivation to get phase angle adjustment for different degrees.This improved method theoretically overcomes the big value condition of L2-norm,and ameliorates the orthogonal constraint condition under general L1-norm through multi-original channels and multi-transformed multiples.With this method,multiple waves are eliminated and primary reflections are retained under the intersection and great disparity between primary reflections and multiples.The results of Pluto model and field data from deepwater basin of South China Sea declare the improved L1-norm matching method is superior to general L2-norm,general L1-norm matching methods.
引文
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[2]胡天跃,王润秋,White R E.地震资料处理中的聚束滤波方法.地球物理学报,2000,43(1):105-114.Hu T Y,Wang R Q,White R E.Beamforming in seismicdata processing.Chinese J.Geophys.(in Chinese),2000,43(1):105-114.
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[4]刘伊克,Sun H C,常旭.基于波射线路径偏移压制多次波.地球物理学报,2004,47(4):697-701.Liu Y K,Sun H C,Chang X.Multiple removal by wavepathmigration.Chinese J.Geophys.(in Chinese),2004,47(4):697-701.
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[9]Kennett B L N.The suppression of surface multiples onseismic records.Geophys.Prosp.,27(3):584-600.
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[14]Verschuur D J,Berkhout A J,Wapenaar C P A.Adaptivesurface-related multiple elimination.Geophysics,1992,57(9):1166-1177.
[15]Verschuur D J,Berkhout A J.Estimation of multiplescattering by iterative inversion,Part II:Practical aspectsand examples.Geophysics,1997,62(5):1596-1611.
[16]Verchuur D J,Prein R G.Multiple removal results fromDelft University.The Leading Edge,1999,18(1):86-91.
[17]Berkhout A J.Multiple removal based on the feedbackmodel.The Leading Edge,1999,18(1):127-131.
[18]李鹏.复杂介质多次波处理方法研究.北京:中国科学院地质与地球物理研究所,2007.Li P.The research of multiple processing method in complexmedia.Beijing:The Institute of Geology and Geophysics,Chinese Academy of Sciences,2007.
[19]Roberts S,Everson R.Independent Component Analysis:Principles and Practice.Cambridge:Cambridge UniversityPress,2001.
[20]Hyvarinen A,Oja E.Independent component analysis:Algorithms and applications.Neural Network,2000,13(4-5):411-430.
[21]刘喜武,刘洪,郑天愉.用独立分量分析方法实现地震转换波与多次反射波分离.防灾减灾工程学报,2003,23(1):11-19.Liu X W,Liu H,Zheng T Y.Separation of coverted wavefrom seismic multiples by independent component analysis.Journal of Disaster Prevention and Mitigation Engineering(in Chinese),2003,23(1):11-19.
[22]陆文凯,骆毅,赵波等.基于独立分量分析的多次波自适应相减技术.地球物理学报,2004,47(5):886-891.Lu W K,Luo Y,Zhao B,et al.Adaptive multiple wavesubtraction using independent component analysis.ChineseJ.Geophys.(in Chinese),2004,47(5):886-891.
[23]Spitz S.Pattern recognition,spatial predictability,andsubtraction of multiple events.The Leading Edge,1999,18(1):55-58.
[24]李鹏,刘伊克,常旭等.均衡拟多道匹配滤波法在波动方程法压制多次波中的应用.地球物理学报,2007,50(6):1844-l853.Li P,Liu Y K,Chang X,et al.Application of the equipoisepseudomultichannel matching filter in multiple eliminationusing wave-equation method.Chinese J.Geophys.(inChinese),2007,50(6):1844-1853.
[25]刘华峰.扩展多道匹配法压制海上多次波.西安:长安大学,2007.Liu H F.The Expansion of Multi-channel Matching Methodfor the Sea Multiple Elimination(in Chinese).Xi′an:Chang′an University,2007.
[26]Guitton A,Verschuur D J.Adaptive subtraction of multiplesusing L1-norm.Geophysical Prospecting,2004,52(1):27-38.
[27]Bube K P,Langan R T.Hybrid L1/L2minimization withapplications to tomography.Geophysics,1997(62):1183-1195.
[28]李学聪,刘伊克,常旭等.均衡多道1范数匹配多次波衰减的方法与应用研究.地球物理学报,2010,53(4):963-973.Li X C,Liu Y K,Chang X,et al.The adaptive subtractionof multiple using the equipoise multichannel L1-normmatching.Chinese J.Geophys.(in Chinese),2010,53(4):963-973.
[2]胡天跃,王润秋,White R E.地震资料处理中的聚束滤波方法.地球物理学报,2000,43(1):105-114.Hu T Y,Wang R Q,White R E.Beamforming in seismicdata processing.Chinese J.Geophys.(in Chinese),2000,43(1):105-114.
[3]Lokshtanov D.Multiple suppression by data consistentdeconvolution.The Leading Edge,1999,18(1):115-119.
[4]刘伊克,Sun H C,常旭.基于波射线路径偏移压制多次波.地球物理学报,2004,47(4):697-701.Liu Y K,Sun H C,Chang X.Multiple removal by wavepathmigration.Chinese J.Geophys.(in Chinese),2004,47(4):697-701.
[5]Morley L,Claerbout J.Predictive deconvolution in shot-receiver space.Geophysics,1983,48(5):515-531.
[6]Wiggins J W.Attenuation of complex water-bottom multiplesby wave-equation-based prediction and subtraction.Geophysics,1988,53(12):1527-1539.
[7]Weglein A B.How can the inverse-scattering method reallypredict and subtract all multiples from a multidimensionalearth with absolutely no subsurface information.The LeadingEdge,1999,18(1):132-136.
[8]金德刚.基于波动方程的层间多次波预测方法研究.北京:中国科学院地质与地球物理研究所,2008.Jin D G.The Research of Prediction for Layed Multiple Basedon Wave Equation(in Chinese).Beijing:The Institute ofGeology and Geophysics,Chinese Academy of Sciences,2008.
[9]Kennett B L N.The suppression of surface multiples onseismic records.Geophys.Prosp.,27(3):584-600.
[10]Berkhout A J,Verschuur D J.Estimation of multiplescattering by iterative inversion,Part I:Theoretical considerations.Geophysics,1997,62(5):1586-1595.
[11]Berkhout A J,Verschuur D J.Multiple technology:Part 2,migration of multiple reflections.64th Ann.Internat.Mtg,1994:1497-1500.
[12]Verschuur D J,Kelamis P G.Surface-related multipleelimination on 3-D land data.67th Ann.Internat.Mtg,Soc.of Expl.Geophys.,1997:1383-1386.
[13]Verschuur D J,Berkhout A J,Kelamis P G.Estimation ofmultiple scattering by iterative inversion,part II:Exampleson marine and land data.65th Ann.Internat.Mtg,Soc.ofExpl.Geophys.,1995:1470-1473.
[14]Verschuur D J,Berkhout A J,Wapenaar C P A.Adaptivesurface-related multiple elimination.Geophysics,1992,57(9):1166-1177.
[15]Verschuur D J,Berkhout A J.Estimation of multiplescattering by iterative inversion,Part II:Practical aspectsand examples.Geophysics,1997,62(5):1596-1611.
[16]Verchuur D J,Prein R G.Multiple removal results fromDelft University.The Leading Edge,1999,18(1):86-91.
[17]Berkhout A J.Multiple removal based on the feedbackmodel.The Leading Edge,1999,18(1):127-131.
[18]李鹏.复杂介质多次波处理方法研究.北京:中国科学院地质与地球物理研究所,2007.Li P.The research of multiple processing method in complexmedia.Beijing:The Institute of Geology and Geophysics,Chinese Academy of Sciences,2007.
[19]Roberts S,Everson R.Independent Component Analysis:Principles and Practice.Cambridge:Cambridge UniversityPress,2001.
[20]Hyvarinen A,Oja E.Independent component analysis:Algorithms and applications.Neural Network,2000,13(4-5):411-430.
[21]刘喜武,刘洪,郑天愉.用独立分量分析方法实现地震转换波与多次反射波分离.防灾减灾工程学报,2003,23(1):11-19.Liu X W,Liu H,Zheng T Y.Separation of coverted wavefrom seismic multiples by independent component analysis.Journal of Disaster Prevention and Mitigation Engineering(in Chinese),2003,23(1):11-19.
[22]陆文凯,骆毅,赵波等.基于独立分量分析的多次波自适应相减技术.地球物理学报,2004,47(5):886-891.Lu W K,Luo Y,Zhao B,et al.Adaptive multiple wavesubtraction using independent component analysis.ChineseJ.Geophys.(in Chinese),2004,47(5):886-891.
[23]Spitz S.Pattern recognition,spatial predictability,andsubtraction of multiple events.The Leading Edge,1999,18(1):55-58.
[24]李鹏,刘伊克,常旭等.均衡拟多道匹配滤波法在波动方程法压制多次波中的应用.地球物理学报,2007,50(6):1844-l853.Li P,Liu Y K,Chang X,et al.Application of the equipoisepseudomultichannel matching filter in multiple eliminationusing wave-equation method.Chinese J.Geophys.(inChinese),2007,50(6):1844-1853.
[25]刘华峰.扩展多道匹配法压制海上多次波.西安:长安大学,2007.Liu H F.The Expansion of Multi-channel Matching Methodfor the Sea Multiple Elimination(in Chinese).Xi′an:Chang′an University,2007.
[26]Guitton A,Verschuur D J.Adaptive subtraction of multiplesusing L1-norm.Geophysical Prospecting,2004,52(1):27-38.
[27]Bube K P,Langan R T.Hybrid L1/L2minimization withapplications to tomography.Geophysics,1997(62):1183-1195.
[28]李学聪,刘伊克,常旭等.均衡多道1范数匹配多次波衰减的方法与应用研究.地球物理学报,2010,53(4):963-973.Li X C,Liu Y K,Chang X,et al.The adaptive subtractionof multiple using the equipoise multichannel L1-normmatching.Chinese J.Geophys.(in Chinese),2010,53(4):963-973.
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