Adaptive multiple subtraction based on a 3D mat-ching filter and pseudo seismic data algorithm
LI Zhongxiao1, GAO Haotian1, CHEN Xinze1, LI Yong-qiang2, LI Zhenchun2
1. School of Electronic Information, Qingdao University, Qingdao, Shandong 266071, China; 2. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China
Abstract:Adaptive multiple subtraction is an important step for suppressing multiples by multiple prediction and subtraction.A 3D matching filter is proposed over a 2D matching filter to reduce residual multiples by combining with several gathers of the predicted multiples to match with original data.To avoid possible primary distortion,the same 3D matching filter is used to fit several original gathers.In addition,we introduce the pseudo seismic data algorithm to solve the optimization problem with the Huber norm minimization constraint on primaries.Without assuming the orthogonality of primaries and multiples,the new method can separate primaries from multiples effectively.During iterating,the pseudo seismic data algorithm only needs to conduct matrix decomposition with Cholesky factorization once,and the computational efficiency is high.Synthetic and field data have proved that the new method can better preserve primaries and remove multiples than a 3D matching filter based on minimization of primary energy and a 2D matching filter based on pseudo seismic data algorithm.
李钟晓, 高好天, 陈鑫泽, 李永强, 李振春. 基于3D匹配滤波器和伪地震数据算法的多次波自适应相减方法[J]. 石油地球物理勘探, 2020, 55(3): 530-540.
LI Zhongxiao, GAO Haotian, CHEN Xinze, LI Yong-qiang, LI Zhenchun. Adaptive multiple subtraction based on a 3D mat-ching filter and pseudo seismic data algorithm. Oil Geophysical Prospecting, 2020, 55(3): 530-540.
戴晓峰,徐右平,甘利灯,等.川中深层-超深层多次波识别和压制技术——以高石梯-磨溪连片三维区为例[J].石油地球物理勘探,2019,54(1):54-64.DAI Xiaofeng,XU Youping,GAN Lideng,et al.Deep & ultra-deep multiple suppression in Central Sichuan:an example of Gaoshiti-Moxi[J].Oil Geophysical Prospecting,2019,54(1):54-64.
[2]
董烈乾,李培明,张奎,等.利用曲波变换预测多次波模型[J].石油地球物理勘探,2015,50(6):1098-1104.DONG Lieqian,LI Peiming,ZHANG Kui,et al.Multiple model prediction based on Curvelet transform[J].Oil Geophysical Prospecting,2015,50(6):1098-1104.
[3]
崔永福,刘嘉辉,陈猛,等.虚同相轴方法及其在陆上地震层间多次波压制中的应用[J].石油地球物理勘探,2019,54(6):1228-1236.CUI Yongfu,LIU Jiahui,CHEN Meng,et al.Land seismic peg-leg multiple attenuation with the virtual event method[J].Oil Geophysical Prospecting,2019,54(6):1228-1236.
[4]
Guitton A and Verschuur D J.Adaptive subtraction of multiples using the L1-norm[J].Geophysical Prospecting,2004,52(1):27-38.
[5]
Wang Y H.Multiple subtraction using an expanded multichannel matching filter[J].Geophysics,2003,68(1):346-354.
[6]
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[J].地球物理学报,2007,50(6):1844-1853.LI Peng,LIU Yike,CHANG Xu,et al.Application of the equipoise pseudo multichannel matching filter in multiple elimination using wave equation method[J].Chinese Journal of Geophysics,2007,50(6):1844-1853.
[7]
Li Z X and Li Z C.Accelerated 3D blind separation of convolved mixtures based on the fast iterative shrinkage thresholding algorithm for adaptive multiple subtraction[J].Geophysics,2018,83(2):V99-V113.
[8]
Li Z X and Lu W K.Adaptive multiple subtraction based on 3D blind separation of convolved mixtures[J].Geophysics,2013,78(6):V251-V266.
[9]
Guitton A.Multiple attenuation in complex geology with a pattern-based approach[J].Geophysics,2005,70(4):V97-V107.
[10]
Manin M and Spitz S.3D attenuation of targeted multiples with a pattern recognition technique[C].Extended Abstracts of 57th EAGE Conference & Exhibition,1995,B046.
[11]
Lu W K.Adaptive multiple subtraction using inde-pendent component analysis[J].Geophysics,2006,71(5):S179-S184.
[12]
Lu W K and Liu L.Adaptive multiple subtraction based on constrained independent component analysis[J].Geophysics,2009,74(1):V1-V7.
[13]
Verschuur D J.Seismic Multiple Removal Techniques:Past,Present and Future[M].EAGE Publications BV,2006.
[14]
李钟晓,陆文凯,庞廷华,等.基于多道卷积信号盲分离的多次波自适应相减方法[J].地球物理学报,2012,55(4):1325-1334.LI Zhongxiao,LU Wenkai,PANG Tinghua,et al.Adaptive multiple subtraction based on multi-traces convolutional signal blind separation[J].Chinese Journal of Geophysics,2012,55(4):1325-1334.
[15]
Verschuur D J,Berkhout A J,Wapenaar C P A.Adaptive surface-related multiple elimination[J].Geophy-sics,1992,57(9):1166-1177.
[16]
Guitton A and Symes W W.Robust inversion of seismic data using the Huber norm[J].Geophysics,2003,68(4):1310-1319.
[17]
Huber P J and Ronchetti E M.Robust Statistics (2nd Edition)[M].John Wiley & Sons,New Jersey,2011,693.
[18]
李娜.基于Huber范数的多震源最小二乘逆时偏移[J].石油地球物理勘探,2017,52(5):941-947.LI Na.Multi-source least-squares reverse time migration based on Huber norm[J].Oil Geophysical Pro-specting,2017,52(5):941-947.
[19]
Wong R K and Lee T. Matrix Completion with Noisy Entries and Outliers[M].arXiv,1503.00214,2015.
[20]
Li Z,Zhao Q,Zhang J.Robust POCS method for interpolation of seismic data[J].Journal of Applied Geophysics,2019,170:1-15.
[21]
Zhao Q,Du Q,Gong X,et al.Signal-preserving erratic noise attenuation via iterative robust sparsity-promoting filter[J].IEEE Transactions on Geoscience and Remote Sensing,2018,56(6):3547-3560.
[22]
Higham N J.Cholesky factorization[J].Wiley Interdisciplinary Reviews:Computational Statistics,2009,1:251-254.
[23]
Berkhout A J and Verschuur D J.Estimation of multiples scattering by iterative inversion.Part Ⅰ:Theore-tical consideration[J].Geophysics,1997,62(5):1586-1595.
[24]
石颖,王维红.基于波动方程预测和双曲Radon变换联合压制表面多次波[J].地球物理学报,2012,55(9):3115-3125.SHI Ying and WANG Weihong.Surface-related multiple suppression approach by combining wave equation prediction and hyperbolic Radon transform[J].Chinese Journal of Geophysics,2012,55(9):3115-3125.
[25]
黄新武,孙春岩,牛滨华,等.基于数据一致性预测与压制自由表面多次波——理论研究与试处理[J].地球物理学报,2005,48(1):173-180.HUANG Xinwu,SUN Chunyan,NIU Binhua,et al.Surface-related multiple prediction and suppression based on data-consistence:A theoretical study and test[J].Chinese Journal of Geophysics,2005,48(1):173-180.