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最小二乘偏移方法研究进展综述
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  • 英文篇名:Overview of progress in least squares migration studying
  • 作者:李江 ; 李庆春 ; 张向辉
  • 英文作者:LI Jiang;LI Qing-chun;ZHANG Xiang-hui;School of Geological Engineering and Geomatics,chang'an University;Shaanxi Yanchang Petroleum(Group) co.ltd Oil and Gas exploration Company;
  • 关键词:最小二乘偏移 ; 真振幅成像 ; Hessian矩阵 ; 研究进展
  • 英文关键词:least squares migration;;true-amplitude imaging;;Hessian matrix;;research progress
  • 中文刊名:DQWJ
  • 英文刊名:Progress in Geophysics
  • 机构:长安大学地质工程与测绘学院;陕西延长石油(集团)有限责任公司油气勘探公司;
  • 出版日期:2016-08-15
  • 出版单位:地球物理学进展
  • 年:2016
  • 期:v.31;No.138
  • 基金:国家自然科学基金项目(41374145)资助
  • 语种:中文;
  • 页:DQWJ201604025
  • 页数:7
  • CN:04
  • ISSN:11-2982/P
  • 分类号:195-201
摘要
最小二乘偏移是一种基于线性化反演理论的真振幅成像方法,其思路是在宏观背景模型的基础上估计出一个最优化的扰动部分对偏移结果进行迭代更新.该方法具有更高的成像精度,是实现地震成像理论由常规地下岩性的几何结构描述向真振幅成像的推进和发展,也是实现高精度储层反演的关键.本文阐述了最小二乘偏移的基本原理,指出了最小二乘偏移与常规偏移的本质区别;介绍了最小二乘偏移的发展历程及研究现状;分析了最小二乘偏移实现过程中的核心问题—Hessian矩阵和反演解的约束条件;探讨了最小二乘偏移存在的问题及今后的的发展趋势,为最小二乘偏移的进一步研究提供参考.
        Based on the linear inversion theory,Least squares migration( LSM) is a kind of true-amplitude migration; its ideas is based on the macro background model to estimate an optimal perturbation part in order to iteratively update the migration result.For its higher imaging precision,least squares migration not only is the promotion and development of seismic imaging theory from conventional lithology geometric description to the true-amplitude migration,but also is the key to achieve high precision reservoir inversion. In this paper,we described the principle of least squares migration,analyzed the essential different between least squares migration and conventional migration,introduced its history and research status,and also analyzed the core problems in processing:Hessian matrix and the constraint conditions of inversion solutions.Finally,we discussed the problems and pointed out the developing trend. For doing this, we provided a reference for the further research of least squares migration.
引文
Aoki N,Schuster G T.2009.Fast least squares migration with a deblurring filter[J].Geophysics,74(6):WCA83-WCA93.
    Bi Lifei,Qin Ning,Yang Xiaodong,et al.2015.Gauss beam reverse time migration method for elastic multiple wave[J].Geophysical Prospecting for Petroleum,54(1):64-70.
    Berkhout A J.1992.Areal shot record technology[J].Journal of Seismic Exploration,1(3):251-264.
    Chavent G,Plessix R E.1999.An optimal true amplitude least squares prestack depth migration operator[J].Geophysics,64(2):508-515.
    Chen S C,Cao J Z,Ma Z T.2001.Stable pre-stack depth migration method with Born approximation[J].Oil Geophysical Prospecting.36(3):291-296.
    Chen Shengchang,MaZ aitian.2006.Generalized synthesis of seismic data and its migration[J].Chinese Journal of Geophysics,49(4)1144-1149.
    Chen S C,Ma Z T,Wu R S.2007.Illumination compensation for wave equtionmigratonshadow[J].Chinese J.Geophys,50(3):844-850.
    Chen S C,Wang H C.2010.Migration compensation with plane wave illumination[J].Chinese J.Geophys,53(7):1710-1715.
    Chen Yunfeng,Wang Hauzhong,Ren Haoran,et al.2014.Matrix representation of least square prestack migration based on linearization[J].Oil geophysical prospecting,49(6):1091-1096.
    Dai W,Fowler P,Schuster G T.2012.Multi-source least-squares reverse time migration[J].Geophysical Prospecting,60(4):681-695.
    Formel S.2003.Theory of differential offset continuation[J].Geophysics,68(2):718-732.
    Feng B,Wang H Z.2011.3D offset plane wave finite difference orestack time migration[J].Chinese J.Geophys,54(11):2916-2925.
    GuoS hujuan,Ma Fangzheng,Duan Xinbiao,et al.2015,Research of leastsquares reverse time migration imaging method and its application[J].Geophysical Prospecting for Petroleum,54(3):301-308.
    Gray S,Etgen J,Dellinger J,et al.2001.Seismic migration problems and solutions[J].Geophysics,66(5):1622-1640.
    Huang Jian Ping,LI Zhenchun,LIU Yu-Jin,et al.2013a.The least square pre-stack depth migration on complex media[J].Progress in Geophys,(in Chinese),28(6):2977-2983.
    Huang J P,Li Z C.Kong X,et al.2013b.A study of least-squares migration method for fractured type carbonate reservoir[J].Chinese J,Geophys.(in Chinese),56(5):1716-1725.
    Huang J P,Cao X L,Li Z C,et al.2014.Plications of least square reverse time migration in the near surface high precision imaging[J].Oil Geophysical Prospecting,49(1):107-112.
    Huang J P,Li C,Li Q Y,et al.2015.Least squares reverse time migration with static plane wave encoding[J].Chinese Journal Geophysics(in chinese),58(6):2046-2056.
    Huang G J,Bai C Y.2010.Simultaneous inversion with multiple travel times within 2-D complex layered media[J].Chinese J.Geophys.53(12):2972-2981.
    Herrmann F J,Brown C R,Erlangga Y A,et al.2009.Curvelet based migration preconditioning and scaling[J].Geophysics,74(4):A41-A46.
    Kuehl H,Sacchi M D.2003.Least squares wave equation migration for AVP/AVA inversion[J].Geophysics,68(1):262-273.
    Kuehl H,Sacchi M D.2001.Split step WKBJ least squares migration/inversion of incomplete[J].Expanded Abstracts of 5thSEGJInternational Symposium Imaging Technology,200-204.
    Kuang Bin,Du Jixiu,WangH uazhong et al.2011.3D wave equation prestack depth migration on GPU[J].OGP,56(5):705-709.
    LeB ras R,Clayton R W.1988.An iterative inversion of back scattered acoustic waves.Geophysics,53(4):262-273.
    Lambare G,Virieux J,Mandariaga R,Jin S.1992.Iterative asymptotic inversion in the acoustic approximation[J].Geophysics,57(9):1138-1154.
    Lecomte I.2008.Resolution and illuminmination analyses in PSDM:Aray based approach[J].The Leading Edge,27(5):650-663.
    Li Zhenchun.2014.Research status and development trends for seismic migration technology[J].OGP,49(1):1-21.
    Li Z C,Guo Z B,Tian K.2014.Least squares reverse time migration in visco-acoustic medium[J].Chinese J.Geophys.(in Chinese),57(1):214-228.
    Li Z H,Wang Y F,Yang CC.2011.A fast global optimization algorithm for regularized migration imaging[J].Chinese J.Geophys,54(3):828-834.
    Liu Y J,Li Z C,Wu D,et al.2013.The research on local slope constrained least squares migration[J].Chinese Journal Geophysics(in chinese),56(3):1003-1011.
    Liu Y,2013.Globally optimal finite-difference schemes based on least squares[J].Geophysics,78(4):T113-T132.
    Liu Z.1997.An analytical approach to migration velocity analysis[J].Geophysics,62(4):1238-1249.
    Liu Hongweiet al.2010.The algorithm of high order finite difference prestack reverse time migration and GPU implementation[J].Chinese Journal of Geophysics.53(7):1725-1733.
    Liu H W,Liu H,Zou Z.2010.The problems of denoise and storage in seismic reverse time migration[J].Chinese J.Geophys,53(9):2171-2180.
    Liu D J,Yin X Y.2007.A method of fourier finite difference preserved amplitude prestack depth migration[J].Chinese J.Geophys.50(1):268-276.
    Liu Y J,Symes W W,Li Z C,2014.Inversion velocity analysis via differential semblance optimization[J].//76thEAGE Conferences&Exhibition.
    Liu Y J,Li Z C.2015.Least-squares reverse time migration with extended imaging condition[J].Chinese J.Geophys,58(10):3771-3782.
    Lu X T,Han L G,Zhang P,et al.2015.Direct migration method of multi-source blended data based on total variation[J].Chinese J.Geophys,58(9):3335-3345.
    Luo S,Hale D.2014 Least-squares migration in the presence of velocity errors[J].Geophysics,79(4):S153-S161.
    Metivier L,Brossier R.2013.Full waveform inversion and the truncated Newton method[J].J.Sci.Comput,35(2):B401-B437.
    Momero L A et al.2000.Phase encoding of shot records in prestackmigration[J].Geophysics,65(2):426-436.
    Nemeth T,Wu C J,Schuster G T.1999.Least squares migration of incomplete reflection data[J].Geophysics,64(1):208-221.
    Operto S,Brossier R,Gholami Y,et al.2013.A guided tour of multiparameter full waveform inversion for multicomponent data:from theory to practice[J].The Leading Edge,32(9):1040-1054.
    Plessix R,Baeten G,Villem J.2012.Full wavefrom inversion and distance separated simultaneous sweeping:a study with a land seismic data set[J].Geophysical Prospecting,60:733-747.
    Purcha M L,Biondi B L.2002.Subsalt event regularization with steering filters[J].72ndAnnual International Meeting,1176-1179.
    Ristow D,Ruhl T.1994.Fourier finitr difference migration[J].Geophysics,59(12):1882-1893.
    Ren H R,Huang G H,Wang H Z,et al.2013.A research on the Hessian operator in seismic inversion imaging[J].Chinese J.Geophys.(in Chinese),56(7):2429-2436.
    Ren H R,,Wu R S,Wang H Z.2011.Wave equation least square imaging using the local angular Hessian for amplitude correction[J].Geophysical Prospecting,59(4):651-661.
    Ren H R,Wang H Z,Huang G H.2012.Theoretical analysis and comparison of seismic wave inversion and inmagingmethods[J].Lithologic Reservoirs,24(5):12-18.
    Rickett J E.2003.Illumination-based normalization for wave equation depth migration[J].Geophsics,68(4):1371-1379.
    Symes W W.2008.Migration velocity analysis and waveform inversion[J].Geophysical Prospecting,56(6):765-790.
    Symes W W.2008.Approximate linearized inversion by optimal scaling of prestack depth migration[J].Geophysics,73(2):R23-R35.
    SHEN Xiong-jun,LIU Neng-chao.2012.Split-step least squares migration[J].Progress in Geophys.(in Chinese),27(2):0761-0770.
    Shi Ying,KeX uan,Zhang Yingying.2015.Analyzing the boundary conditions and storagy for reverse time migration[J].Progrsee in Geophysics,30(2):581-585.
    Tarantola A.1984.Inversion of seismic reflection data in the acoustic approximation[J].Geophysics,49(8):1259-1266.
    Tang Y.2009.Target oriented wave-equation least-squares migration inversion with phase-encoded Hessian[J].Geophysics,74(6):WCA95-WCA107.
    Wang Y,Dong L G.2015.Multi-Parameter full waveform inversion for acoustic VTI media suing the truncated Newton method.[J].Chinese J.Geophys.(in Chinese),58(8):2873-2885.
    Wang Huazhong,Feng Bo,Wang xiongwen,et al.2015.Analysis of seismic inversion imaging and its technical core issues[J].Geophysical Prospecting for Petroleum,54(2):115-125.
    Wang Qing,Zhang jiang-zhong,Huang zhonglai.2015.Progress in the time domain full wavwforminversion[J].Progress in Geophysics(in Chinese),30(6):2797-2806.
    Wang Y F.2013.Comparison of interferometric migration and preconditioned regularizing least squares migration inversion methods in seismic imaging[J].Chinese J.Geophys.(in Chinese),56(1):230-238.
    Wang Y F,Yang CC,Duan Q L.2009.On iterative regularization methods for migration deconvolution and inversion in seismic imaging.
    Wang Y F,Yang C C,Duan Q L.2009.On iterative regularization methods for migration deconvolution and inversion in seismic imaging[J].Chinese J.Geophysics,52(6):1615-1624.
    Wang Yanguang,Kuang Bin.2012.Prestack reverse time depth migration on regged topography and parallel computation realization[J].OGP,57(2):266-271.
    Wong M,Ronen S,Biondi B.2011.Least-squares reverse time migration/inversion for ocean bottom data:A case study[J].SEGAnnual Meeting.Society of Eploration Geophysists,3578-3583.
    Xu S,Wang D,Chen F et al.2012.Inversion on reflected seismic wave[J].SEG Technical Program Extended Abstract,31:1473-1476.
    Xu Sheng,Gilles Lambare.2006.True amplitude Kirchhoff prestack depth migration in complex media[J].Chinese J.Geophys.49(5):1431-1444.
    Yu J H,Hu J,Schuster G T,et al.2006.Prestack migration deconvolution[J].Geophysics,71(2):S53-S62.
    Yang Qi-Qiang,ZHANG Shu-lun.2008.Least squares fourier difference migration[J].Progress in Geophys.(in Chinese),23(2):433-437.
    YUAN Yi-ming,SUN Chen,YANG Chang-chun.2013.Seismic data sparse inversion method based on iterative reweighted technique[J].Progress in Geophys,(in Chinese),2013,28(5):2536-2546.
    Yao G,Jakubowicz H.2012.Non-linear least-squares reverse time migration[J].segam2012-1435.
    Yao G,Jakubowicz H.2012.Non linear least squaresreverse time migration[J].Segam.2012-1435.1.
    Yuan J H,Liu H,Shou H,et al.Strategy for targeted prestack angle gather extract[J].Geophysical prospecting for Petroleum,46(4):334-338.
    Zhou H M,Chen S C,Ren H R,et al.2014.One-way wave equation least-squares migration based on illumination compensation[J].Chinese J.Geophys.(in Chinese),57(8):2644-2655.
    Zhao Gaishan.2004.How big and fast computer can meet our need[J].progress in Exploraton Geophysics.27(2):121-124.
    Zhang Y,Sun J,Notfors C,et al.2005.Delayed shot 3D depth migration[J].Geophysics,70(5):E21-E28.
    Zhang Yu.2006.The theory of ture amplitude one way wave equation migration[J].Chinese J.Geophys,49(5):1410-1430.
    Zhang Y,Duan L,Xie Y.2015.A stable and practical implementation of least-squares time migration[J].SEG Technical Program Expanded Abstracts,80(1):V23-V31.
    毕丽飞,秦宁,杨晓东,等.2015.弹性多波高斯束逆时偏移方法[J].石油物探,54(1):64-70.
    陈生昌,曹景中,马在田.2001.稳定的Born近似叠前深度偏移方法[J].石油地球物理勘探,36(3):291-296.
    陈生昌,马在田.2006.广义地震数据合成及其偏移成像[J].地球物理学报,49(4)1144-1149.
    陈生昌,马在田,吴如山.2007.波动方程偏移成像的阴影的照明补偿[J].地球物理学报,50(3):844-850.
    陈生昌,王汉闯.2010.基于平面波照明补偿的偏移成像补偿[J].地球物理学报,53(7):1710-1715.
    陈云峰,王华忠,任浩然,等.2014.线性反演最小二乘叠前偏移的矩阵形式解析[J].石油地球物理勘探,49(6):1091-1096.
    冯波,王华忠.2011.三维偏移距平面波有限差分叠前间偏移[J].地球物理学报,54(11):2916-2925.
    郭书娟,马方正,段心标,等.2015.最小二乘偏移成像方法的实现与应用研究[J].石油物探,54(3):301-308.
    郭振波,李振春.2014.最小平方逆时偏移真振幅成像[J].石油地球物理勘探,49(1):113-120.
    黄建平,李振春,刘玉金,等.2013a.复杂介质最小二乘叠前深度偏移成像方法[J].地球物理学进展,28(6):2977-2983.
    黄建平,李振春,孔雪,等.2013b.碳酸盐岩裂缝型储层最小二乘偏移成像方法研究[J].地球物理学报,56(5);1716-1725.
    黄建平,曹晓丽,李振春,等.2014.最小二乘逆时偏移在近地表高精度成像中的应用[J].石油地球物理勘探,49(1):107-112.
    黄建平,李闯,李庆洋,等.2015.一种基于平面波静态编码的最小二乘逆时偏移方法[J].地球物理学报,58(6):2046-2056.
    黄建平,孙郧松,李振春,等,2014一种基于分频编码的最小二乘裂步偏移方法,石油地球物理勘探,49(4):702-707.
    黄国娇,白超英.2010.二维复杂层状介质中的地震波多波走时联合反演成像[J].地球物理学报,53(12):2972-2981.
    胡光辉,王立歆,方伍宝,等.2014.全波形反演方法及应用[M].北京,石油工业出版社.
    贾晓峰,胡天跃.2005.滑动最小二乘法求解地震波波动方程[J].地球物理学进展,20(4):920-924.
    匡斌,杜继修,王华忠,等.2011.基于GPU计算的三维波动方程叠前深度偏移[J].石油地球物理勘探,46(5):705-709.
    李振春.2014.地震偏移成像技术研究现状与发展趋势[J].是由地球物理勘探,49(1):1-21.
    李振春,等.2011.地震叠前成像理论与方法[M].东营,中国石油大学出版社.
    李振春,郭振波,田坤.2014.黏声介质最小平方逆时偏移[J].地球物理学报,57(1):214-228.
    李振华,王彦飞,杨长春.2011.正则化偏移成像的全局优化快速算法[J].地球物理学报,54(3):828-834.
    刘金玉,李振春.2015.扩展成像条件下的最小二乘逆时偏移[J].地球物理学报,58(10):3371-3782.
    刘玉金,李振春,吴丹,等.2013.局部倾角约束最小二乘偏移方法研究[J].地球物理学报,56(3):1003-1011.
    刘红伟,李博,刘洪,等.2010.地震叠前逆时偏移高阶有限差分算法及GPU实现[J].地球物理学报,53(7):1725-1733.
    刘红伟,刘洪,邹阵.2010.地震叠前逆时偏移中的去噪与存储[J].地球物理学报[J].53(9):2171-2180.
    刘定进,印星耀.2007.傅里叶有限差分法保幅叠前深度偏移方法[J].地球物理学报50(1):268-276.
    卢昕婷,韩立国,张盼,等.2015.基于全变分原理的多震源混合数据直接偏移方法[J].地球物理学报,58(9):3335-3345.
    任浩然,黄光辉,王华忠,等.2013.地震反演成像中的Hessian算子研究[J].地球物理学报,56(7):2429-2436.
    任浩然,王华忠,黄光辉.2012.地震反演成像方法的理论分析与对比[J].岩性油气藏,24(5):12-18.
    沈雄君,刘能超.2012.裂步法最小二乘偏移[J].地球物理学进展,27(2):761-770.
    石颖,柯璇,张莹莹.2015.逆时偏移边界条件与存储策略分析[J].地球物理学进展,30(2):581-585.
    王义,董良国.2015.基于截断牛顿法的VTI介质声波多参数全波形反演[J].地球物理学报,58(8):2873-2885.
    王华忠.2013.最小二乘叠前偏移成像的数学物理含义及在FK域中的一种实现[J].地球物理学报,56(7):2429-2436.
    王华忠,冯波,王雄文,等.2015.地震波反演成像方法与技术核心问题分析[J].石油物探,54(2):115-125.
    王庆,张建忠,黄忠来.2015.时间域地震全波形反演方法进展[J].地球物理学进展,30(6):2797-2806.
    王彦飞.2013.地震波干涉偏移及预条件正则化最小二乘偏移成像方法对比[J].地球物理学报,56(1):230-238.
    王彦飞,杨长春,段秋梁.2009.地震偏移反演成像的迭代正则化方法研究[J].地球物理学报,52(6):1615-1624.
    王延光,匡斌.2012.起伏地表叠前逆时深度偏移与并行计算[J].石油地球物理勘探,47(2):266-271.
    徐升,Gilles,2006.复杂介质下保真振幅Kirchhoff深度偏移[J].地球物理学报,49(5):1431-1444.
    杨其强,张叔伦.2008.最小二乘傅里叶有限差分偏移[J].地球物理学进展,23(2):433-437.
    袁义明,孙晨,杨长春.2013.基于迭代再加权最小二乘的地震资料稀疏反演方法[J].地球物理学进展,2013,28(5):2536-2546.
    袁江华,刘洪,首浩,等.2007.面向目标的叠前角度道集提取策略[J].石油物探,46(4):334-338.
    周华敏,陈生昌,任浩然,等,2014.基于照明补偿的单程波最小二乘偏移,地球物理学报,57(8):2644-2655.
    赵改善.2004.我们需要多大和多快的计算机[J].勘探地球物理进展,27(1):121-124.
    张宇.2006振幅保真的单程波方程偏移理论[J].地球物理学报,49(5):1410-1430.

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