Structure-constrained plane-wave least-squares FFD prestack depth migration for VTI media
Zhu Feng1,2, Huang Jianping1,2, Li Zhenchun1,2, Li Qingyang1,2,3
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. Laboratory of Marine Mineral Resources, Pilot National Laboratory for Marine Science and Technology(Qingdao), Qingdao, Shandong 266071, China; 3. Geophysical Exploration Research Institute, Zhongyuan Oilfield Branch Co., SINOPEC, Pu-yang, Henan 457001, China
Abstract：For most of the sedimentary strata in the central and eastern China,seismic wave velocity is determined by both the underground position and the spread direction.It is important to develop migration methods for anisotropic media to improve seismic imaging.With the high order Fourier finite difference (FFD) operator to the linear inversion imaging,we propose a VTI least-squares FFD prestack depth migration method (VTI-LSFFD).Based on the accomplishment of VTI-LSFFD,optimization strategies are adopted to solve some key problems of the least-squares migration such as heavy computation cost and sensitivity to coherent imaging noises.First,the plane-wave encoding strategy is used to reduce the amount of seismic data and improve computation efficiency.Then common imaging gathers (CIG) are extracted and plane-wave construction (PWC) operators are applied to the CIGs,the coherent imaging noise is suppressed and the signal-to-noise ratio (SNR) is improved.Based on our numerical experiments on the modified anisotropy Marmousi 2 model,the following advantages of the proposed method are found:this method is suitable for strong horizontal velocity variation; it has both high computation efficiency and low coherent imaging noises sensitivity; and with the plane-wave encoding strategy,it achieves better near-surface imaging than the one-way wave migration methods.
Symes W W.Approximate linearized inversion by optimal scaling of prestack depth migration.Geophy-sics,2008,73(2):R23-R35.
[2]
Aoki N,Schuster G T.Fast least-squares migration with a deblurring filter.Geophysics,2009,74(6):WCA83-WCA93.
[3]
Dai W,Fowler P,Schuster G T.Multisource least-squares reverse time migration.Geophysical Prospecting,2012,60(4):681-695.
[4]
Dong S,Cai J,Guo M et al.Least-squares reverse time migration:Towards true amplitude imaging and improving the resolution.SEG Technical Program Expanded Abstracts,2012,31:1190-1194.
[5]
黄建平,李振春,孔雪等.碳酸盐岩裂缝型储层最小二乘偏移成像方法研究.地球物理学报,2013,56(5):1716-1725.Huang Jianping,Li Zhenchun,Kong Xue et al.A study of least-squares migration imaging method for fractured-type carbonate reservoir.Chinese Journal of Geophysics,2013,56(5):1716-1725.
[6]
Dai W,Schuster G T.Least-squares migration of si-multaneous sources data with a deblurring filter.SEG Technical Program Expanded Abstracts,2009,28:2990-2994.
[7]
李振春,黄金强,黄建平等.基于平面波加速的VTI介质最小二乘逆时偏移.地球物理学报,2017,60(1):240-257.Li Zhenchun,Huang Jinqiang,Huang Jianping et al.Fast least-squares reverse time migration based on plane-wave encoding for VTI media.Chinese Journal of Geophysics,2017,60(1):240-257.
[8]
Nemeth T,Wu C,Schuster G T.Least-squares migration of incomplete reflection data.Geophysics,1999,64(1):208-221.
[9]
黄建平,李振春,刘玉金等.复杂介质最小二乘叠前深度偏移成像方法.地球物理学进展,2013,28(6):2977-2983.Huang Jianping,Li Zhenchun,Liu Yujin et al.The least square pre-stack depth migration on complex media.Progress in Geophysics,2013,28(6):2977-2983.
[10]
Hu H,Liu Y,Zheng Y et al.Least-squares Gaussian beam migration.Geophysics,2015,81(3):S87-S100.
[11]
李振春,郭振波,田坤.黏声介质最小平方逆时偏移.地球物理学报,2014,57(1):214-228.Li Zhenchun,Guo Zhenbo,Tian Kun.Least squares reverse time migration in visco-acoustic medium.Chinese Journal of Geophysics,2014,57(1):214-228.
[12]
黄建平,曹晓莉,李振春等.最小二乘逆时偏移在近地表高精度成像中的应用.石油地球物理勘探,2014,49(1):107-112.Huang Jianping,Cao Xiaoli,Li Zhenchun et al.Least square reverse time migration in high resolution imaging of near surface.OGP,2014,49(1):107-112.
[13]
沈雄君,刘能超.裂步法最小二乘偏移.地球物理学进展,2012.27(2):761-770.Shen Xiongjun,Liu Nengchao.Split-step least squares migration.Progress in Geophysics,2012,27(2):761-770.
[14]
黄建平,薛志广,步长城等.基于裂步DSR的最小二乘偏移方法.吉林大学学报(地球科学版),2014,44(1):369-374.Huang Jianping,Xue Zhiguang,Bu Changcheng et al.The study of least-squares migration method based on split-step DSR.Journal of Jilin University:Earth Science Edition,2014,44(1):369-374.
[15]
周华敏,陈生昌,任浩然等.基于照明补偿的单程波最小二乘偏移. 地球物理学报,2014,57(8):2644-2655.Zhou Huamin,Chen Shengchang,Ren Haoran et al.One-way wave equation least-squares migration based on illumination compensation.Chinese Journal of Geophysics,2014,57(8):2644-2655.
[16]
杨其强,张叔伦.最小二乘傅里叶有限差分偏移.地球物理学进展,2008,23(2):433-437.Yang Qiqiang,Zhang Shulun.Least squares Fourier difference migration.Progress in Geophysics,2008,23(2):433-437.
[17]
Vyas M,Wang X,Etgen J.One-way TTI propagation:Is it still relevant? SEG Technical Program Expanded Abstracts,2015,34:3986-3990.
[18]
Zhang Y,Sun J,Notfors C et al.Delayed-shot 3D depth migration.Geophysics,2005,70(5):E21-E28.
[19]
Tang Y.Target-oriented wave-equation least-squares migration/inversion with phase-encoded Hessian.Geophysics,2009,74(6):WCA95-WCA107.
[20]
Huang Y,Schuster G T.Multisource least-squares migration of marine streamer and land data with frequency-division encoding.Geophysical Prospecting,2012,60(4):663-680.
黄建平,李闯,李庆洋等.一种基于平面波静态编码的最小二乘逆时偏移方法.地球物理学报,2015,58(6):2046-2056.Huang Jianping,Li Chuang,Li Qingyang et al.Least-squares reverse time migration with static plane-wave encoding.Chinese Journal of Geophysics,2015,58(6):2046-2056.
[23]
刘玉金,李振春,吴丹等.局部倾角约束最小二乘偏移方法研究. 地球物理学报,2013,56(3):1003-1011.Liu Yujin,Li Zhenchun,Wu Dan et al.The research on local slope constrained least-squares migration.Chinese Journal of Geophysics,2013,56(3):1003-1011.
[24]
Fan Jingwen,Li Zhenchun,Zhang Kai et al.Multisource least-squares reverse-time migration with structure-oriented filtering.Applied Geophysics,2016,13(3):491-499.
[25]
Li C,Huang J P,Li Z C et al.Preconditioned prestack plane-wave least squares reverse time migration with singular spectrum constraint.Applied Geophysics,2017,14(1):73-86.
[26]
Rickett J E.Illumination-based normalization for wave-equation depth migration.Geophysics,2003,68(4):1371-1379.
[27]
Zhu F,Huang J P,Li Z C et al.PLSFFD pre-stack depth migration for VTI medium.International Geophysical Conference,SEG,Qingdao,China,2017,534-537.
[28]
李庆洋,黄建平,李振春等.优化的多震源最小二乘逆时偏移.石油地球物理勘探,2016,51(2):334-341.Li Qingyang,Huang Jianping,Li Zhenchun et al.Optimized multi-source least-squares reverse time migration.OGP,2016,51(2):334-341.
[29]
李闯,黄建平,李振春等.平面波最小二乘逆时偏移编码策略分析.石油物探,2015,54(5):592-601.Li Chuang,Huang Jianping,Li Zhenchun et al.Analysis on the encoding strategies of plane-wave least-square reverse time migration.GPP,2015,54(5):592-601.
[30]
Claerbout J F.Earth Soundings Analysis:Processing Versus Inversion.Blackwell Scientific Publications,1992.
[31]
Fomel S.Applications of plane-wave destruction fil-ters.Geophysics,2002,67(6):1946-1960.
[32]
Fomel S,Guitton A.Regularizing seismic inverse problems by model reparameterization using plane-wave construction.Geophysics,2006,71(5):A43-A47.
[33]
Fomel S.Shaping regularization in geophysical estimation problems.Geophysics,2007,72(2):R29-R36.
[34]
Fomel S.Predictive painting of 3D seismic volumes.Geophysics,2010,75(4):A25-A30.
[35]
Han Q,Wu R S.A one-way dual-domain propagator for scalar qP-waves in VTI medium.Geophysics,2005,70(2):D9-D17.
Plessix R E.A review of the adjoint-state method for computing the gradient of a functional with geophysical applications.Geophysical Journal International,2006,167(2):495-503.
[38]
Plessix R E,Mulder W A.Frequency-domain finite-difference amplitude-preserving migration.Geophysical Journal International,2004,157(3):975-987.
[39]
李闯,黄建平,李振春等.预条件最小二乘逆时偏移方法.石油地球物理勘探,2016,51(3):513-520.Li Chuang,Huang Jianping,Li Zhenchun et al. Preconditioned least-squares reverse time migration.OGP,2016,51(3):513-520.
[40]
Dai W,Schuster G T.Plane-wave least-squares reverse-time migration.Geophysics,2013,78(4):S165-S177.
[41]
Stork C,Kapoor J.How many p values do you want to migrate for delayed shot wave equation migration?.SEG Technical Program Expanded Abstracts,2004,23:1041-1044.
[42]
黄建平,朱峰,李振春等.VTI介质FFD叠前深度偏移成像方法. 石油地球物理勘探,2017,52(3):491-501.Huang Jianping,Zhu Feng,Li Zhenchun et al.FFD prestack depth migration for VTI media.OGP,2017,52(3):491-501.
