均衡多道1范数匹配多次波衰减的方法与应用研究
|
摘要
反馈迭代法多次波衰减分为预测和相减两个步骤.在匹配相减过程中,当多次波和一次波同相轴不满足正交性,以及去除多次波后的地震记录不满足能量最小的情况下,最小二乘自适应匹配滤波方法不能获得正确的匹配,因此多次波的衰减产生误差.针对这两个问题,本文提出了基于1范数最小的均衡多道自适应匹配滤波法.该方法通过在空间方向上对地震记录进行均衡,避免了多次波和一次波同相轴正交的假设条件.同时利用了1范数对于大异常值保持稳健的特点,因此可以有效地解决去除多次波后的地震记录能量最小的问题.通过对模型数据和野外实际数据的多次波压制结果显示,该方法可以有效、准确地衰减多次波.
Multiple elimination using iterative inversion method includes two steps: prediction and subtraction.During matching subtraction, when multiple events are not orthogonal to primary events and the signal after multiple elimination has no minimum energy, the least-square adaptive matching filtering method can't get correct matching results and so multiple elimination will produce some deviation.In order to overcome the two problems above, I propose the equipoise multichannel adaptive matching filtering method using L1-norm in this paper.Through poising seismic records in the direction of space, this method avoids the assumption that multiple events are orthogonal to the primary events.Because L1-norm is robust to large amplitude differences, this method can effectively deal with the problem that the signal after multiple elimination has no minimum energy.Results of multiple suppression with simulated data and field data show that this method can effectively and correctly subtract multiples.
Multiple elimination using iterative inversion method includes two steps: prediction and subtraction.During matching subtraction, when multiple events are not orthogonal to primary events and the signal after multiple elimination has no minimum energy, the least-square adaptive matching filtering method can't get correct matching results and so multiple elimination will produce some deviation.In order to overcome the two problems above, I propose the equipoise multichannel adaptive matching filtering method using L1-norm in this paper.Through poising seismic records in the direction of space, this method avoids the assumption that multiple events are orthogonal to the primary events.Because L1-norm is robust to large amplitude differences, this method can effectively deal with the problem that the signal after multiple elimination has no minimum energy.Results of multiple suppression with simulated data and field data show that this method can effectively and correctly subtract multiples.
引文
[1] Van Dedem E J,Verschuur D J.Surface-related multiple prediction:A sparse inversion approach.Geophysics,2005,70:31～43
[2] Lasse Amundsen.Elimination of free-surface related multiples without need of the source wavelet.Geophysics,2001,66(1) :327～341
[3] 金德刚,常旭,刘伊克.逆子波域消除多次波方法研究.地球物理学报,2008,5l(1) :250～259 Jin D G,Chang X,Liu Y K.Research of multiple elimination method in inverse wavelet domain.Chinese J.Geophys.(in Chinese),2008,51(1) :250～259
[4] 刘伊克,Sun H,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,Chang X.Multiple removal by wavepath migration.Chinese J.Geophys.(in Chinese),2004,47(4) :697～701
[5] Weglein A B.Multiple attenuation:an overview of recent advances and the road ahead.Geophysics,1999,(1) :40～44
[6] Robinson E A.Predictive decomposition of seismic trace.Geophysics,1957,22:767～778
[7] Taner M T.Long period sea-floor multiples and their suppression.Geophys.Prosp.1980,28:3～48
[8] Backus M M.Water reverberation:their nature and elimination.Geophysics,1959,24:23～32
[9] Foster D J,Mosher C C.Suppression of multiple reflections using the Radon transform.Geophysics,1992,57(3) :386～395
[10] 刘喜武,刘 洪,李幼铭.高分辨率Radon变换方法及其在地震信号处理中的应用.地球物理学进展,2004,19(1) :8～15 Liu X W,Liu H,Li Y M.High resolution Radon transform and its application in seismic signal processing.Progress in Geophysics(in Chinese),2004,19(1) :8～15
[11] 胡天跃,王润秋,White R E.地震资料处理中的聚束滤波法.地球物理学报,2000,43(1) :105～114 Hu T Y,Wang R Q,White R E.Beamforming in seismic data processing.Chinese J.Geophys.(in Chinese),2000,43(1) :105～114
[12] Yilmaz O.Seismic data processing.Society of Exploration Geophysics,1987
[13] Wiggins J W.Attenuation of complex water-bottom multiples by wave-equation based prediction and subtraction.Geophysics,1988,53(12) :1527～1539
[14] Berkhout A J,Verschuur D J.Estimation of multiple scattering by iterative inversion,Part 1 Theoretical considerations.Geophysics,1997,62:1586～1595
[15] Weglein A B,Gasparotto F A,Carvalho P M,et al.An inverse scattering series method for attenuating multiples in seismic reflection data.Geophysics,1997,62:1975～1989
[16] Wang Y.Multiple subtraction using an expanded multichannel matching filter.Geophysics,68:346～354
[17] 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) : 1844～1853 Li P,Liu Y K,Chang X,et al.Application of the equipoise pseudomultichannel matching filtering multiple elimination using wave equation method.Chinese J.Geophys.(in Chinese),2007,50(6) :1844～1853
[18] Guitton A,Verschuur D J.Adaptive subtraction of multiples using L1-norm.Geophysical Prospecting,2004,52(1) :27～38
[19] 陆文凯,骆毅等.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,et al.Adaptive multiple wave subtraction using independent compent analysis.Chinese J.Geophys.(in Chinese),2004,47(5) :886～891
[20] Spitz S.Pattern recognition,spatial predictability,and subtraction of multiple events.The Leading Edge,1999,18(1) :55～58
[21] Claerbout.Earth Sounding Analysis:Processing Versus Inversion.1992
[22] Yi Luo,Kelamis P G,Wang Y.Simultaneous inversion of multiples and primaries:inversion versus subtraction.The Leading Edge,2003,(9) :814～818
[23] Verschuur D J,Berkhout A J,Wapenaar,C P A.Adaptive surface-related multiple elimination.Geophysics,1992,57:1166～1177
[24] Monk D J.Wave-equation multiple suppression usingconstrained gross-equalization.Geoghysics Prospecting,1993,41:725～736
[25] 李鹏.复杂介质多次波处理方法研究[博士学位论文].北京:中国科学院地质与地球物理所,2007 Li P.The research of multiple processing method in complex media[Ph.D.thesis].Beijing:The Institute of Geology and Geophysics,Chinese Academy of Sciences,2007
[26] Huber P J.Robust regression:Asymptotics,conjectures,and Monte Carlo.Annals of Statistics,1973,1:799～821
[27] Bube K P,Langan R T.Hybrid l_1/l_2 minimization with applications to tomography.Geophysics,1997,62:1183～1195
[2] Lasse Amundsen.Elimination of free-surface related multiples without need of the source wavelet.Geophysics,2001,66(1) :327～341
[3] 金德刚,常旭,刘伊克.逆子波域消除多次波方法研究.地球物理学报,2008,5l(1) :250～259 Jin D G,Chang X,Liu Y K.Research of multiple elimination method in inverse wavelet domain.Chinese J.Geophys.(in Chinese),2008,51(1) :250～259
[4] 刘伊克,Sun H,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,Chang X.Multiple removal by wavepath migration.Chinese J.Geophys.(in Chinese),2004,47(4) :697～701
[5] Weglein A B.Multiple attenuation:an overview of recent advances and the road ahead.Geophysics,1999,(1) :40～44
[6] Robinson E A.Predictive decomposition of seismic trace.Geophysics,1957,22:767～778
[7] Taner M T.Long period sea-floor multiples and their suppression.Geophys.Prosp.1980,28:3～48
[8] Backus M M.Water reverberation:their nature and elimination.Geophysics,1959,24:23～32
[9] Foster D J,Mosher C C.Suppression of multiple reflections using the Radon transform.Geophysics,1992,57(3) :386～395
[10] 刘喜武,刘 洪,李幼铭.高分辨率Radon变换方法及其在地震信号处理中的应用.地球物理学进展,2004,19(1) :8～15 Liu X W,Liu H,Li Y M.High resolution Radon transform and its application in seismic signal processing.Progress in Geophysics(in Chinese),2004,19(1) :8～15
[11] 胡天跃,王润秋,White R E.地震资料处理中的聚束滤波法.地球物理学报,2000,43(1) :105～114 Hu T Y,Wang R Q,White R E.Beamforming in seismic data processing.Chinese J.Geophys.(in Chinese),2000,43(1) :105～114
[12] Yilmaz O.Seismic data processing.Society of Exploration Geophysics,1987
[13] Wiggins J W.Attenuation of complex water-bottom multiples by wave-equation based prediction and subtraction.Geophysics,1988,53(12) :1527～1539
[14] Berkhout A J,Verschuur D J.Estimation of multiple scattering by iterative inversion,Part 1 Theoretical considerations.Geophysics,1997,62:1586～1595
[15] Weglein A B,Gasparotto F A,Carvalho P M,et al.An inverse scattering series method for attenuating multiples in seismic reflection data.Geophysics,1997,62:1975～1989
[16] Wang Y.Multiple subtraction using an expanded multichannel matching filter.Geophysics,68:346～354
[17] 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) : 1844～1853 Li P,Liu Y K,Chang X,et al.Application of the equipoise pseudomultichannel matching filtering multiple elimination using wave equation method.Chinese J.Geophys.(in Chinese),2007,50(6) :1844～1853
[18] Guitton A,Verschuur D J.Adaptive subtraction of multiples using L1-norm.Geophysical Prospecting,2004,52(1) :27～38
[19] 陆文凯,骆毅等.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,et al.Adaptive multiple wave subtraction using independent compent analysis.Chinese J.Geophys.(in Chinese),2004,47(5) :886～891
[20] Spitz S.Pattern recognition,spatial predictability,and subtraction of multiple events.The Leading Edge,1999,18(1) :55～58
[21] Claerbout.Earth Sounding Analysis:Processing Versus Inversion.1992
[22] Yi Luo,Kelamis P G,Wang Y.Simultaneous inversion of multiples and primaries:inversion versus subtraction.The Leading Edge,2003,(9) :814～818
[23] Verschuur D J,Berkhout A J,Wapenaar,C P A.Adaptive surface-related multiple elimination.Geophysics,1992,57:1166～1177
[24] Monk D J.Wave-equation multiple suppression usingconstrained gross-equalization.Geoghysics Prospecting,1993,41:725～736
[25] 李鹏.复杂介质多次波处理方法研究[博士学位论文].北京:中国科学院地质与地球物理所,2007 Li P.The research of multiple processing method in complex media[Ph.D.thesis].Beijing:The Institute of Geology and Geophysics,Chinese Academy of Sciences,2007
[26] Huber P J.Robust regression:Asymptotics,conjectures,and Monte Carlo.Annals of Statistics,1973,1:799～821
[27] Bube K P,Langan R T.Hybrid l_1/l_2 minimization with applications to tomography.Geophysics,1997,62:1183～1195
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