Least-squares reverse time migration based on the angular filtering imaging condition
Liu Mengli1,2, Huang Jianping1,2, Li Chuang1,2, Cui Chao1,2, Ren Yingjun1,2
1. School of Geosciences, China University of Petroleum(East China), Qingdao, Shandong 266580, China; 2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, Shandong 266071, China
Abstract：On the basis of predecessors' researches,we first analyze the cause of the low frequency noise in the reverse time migration (RTM).Then we deduce the angular filtering imaging condition using the reflection angle information obtained from wavefield data,combine it with the least-square reverse time migration (LSRTM),and develop least-squares reverse time migration based on the angular filtering imaging condition (ALSRTM).The feasibility and amplitude of ALSRTM is analyzed with the energy conservation of wave equation.Numerical test on the international standard SEG-EAGE 2-D salt dome model validates our ALSRTM and proves that the ALSRTM can not only significantly suppress migration artifacts,but also has a better amplitude-preserved capacity compared with those results obtained with the conventional LSRTM.Besides,ALSRTM has a stronger adaptability than the conventional LSRTM in the presence of migration velocity errors.
Youn O K,Zhou H W.Depth imaging with multiples.SEG Technical Program Expanded Abstracts,1999,18:246-255.
[2]
Claerbout J F,Johnson A G.Extrapolation of time-dependent waveforms along their path of propagation.Geophysical Journal International,1971,26(3):285-293.
[3]
刘红伟,刘洪,邹振等.地震叠前逆时偏移中的去噪与存储.地球物理学报,2010,53(9):2171-2180.Liu Hongwei,Liu Hong,Zou Zhen et al.The problems of denoise and storage in seismic reverse time migration.Chinese Journal of Geophysics,2010,53(9):2171-2180.
[4]
Xu S,Chen F,Tang B et al.Noise removal by migration of time-shift images.Geophysics,2014,79(3):S105-S111.
[5]
Robin F F,Paul F,Phil K et al.Suppressing artifacts in prestack reverse time migration.SEG Technical Program Expanded Abstracts,2005,24:2049-2051.
[6]
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.
[7]
Guitton A,Kaelin B,Biondi B.Least-square attenuation of reverse time migration artifacts.Geophysics,2007,72(1):S19-S23.
[8]
Baysal E,Dan D K,Sherwood J W C.A two-way nonreflecting wave equation.Geophysics,2012,49(2):132-141.
[9]
Yoon K,Marfurt K J.Reverse-time migration using the Poynting vector.Geophysical Exploration,2006,37(1):102-107.
[10]
Liu F,Zhang G,Morton S A et al.An effective imaging condition for reverse-time migration using wavefield decomposition.Geophysics,2011,76(1):S29-S39.
[11]
Rocha D C J.Wavefield imaging using the energy norm.Geophysics,2015,81(4):S151-S163.
[12]
Op't Root T J P M,Stolk C C and de Hoop M V.Linearized angular filtering based on seismic reverse time migration.Journal De Mathématiques Pures Et Appliqués,2012,98(2):211-238.
[13]
Whitmore N D,Crawley S.Applications of RTM inverse scattering imaging conditions.SEG Technical Program Expanded Abstracts,2012,31:1-6.
[14]
Kiyashchenko D,Plessix R E,Kashtan B et al.A modified imaging principle for true-amplitude wave-equation migration.Geophysical Journal International,2007,168(3):1093-1104.
[15]
Tarantola A.Linearized inversion of seismic reflection data.Geophysical Prospecting,1984,32(6):998-1015.
[16]
Nemeth T,Wu C,Schuster G T.Least-squares migration of incomplete reflection data.Geophysics,1999,64(1):208-221.
[17]
Költzsch P.Inverse problems of acoustic and elastic waves.ZAMM,1986,66(9):447-447.
[18]
Li C,Huang J P,Li Z C et al.Regularized least-squares migration of simultaneous-source seismic data with adaptive singular spectrum analysis.Petroleum Science,2017,14(1):61-74.
[19]
Plessix R E,Mulder W A.Frequency-domain finite-difference amplitude-preserving migration.Geophysical Journal International,2004,157(3):975-987.
[20]
Dai W,Schuster J.Least-squares migration of simul-taneous sources data with a deblurring filter.SEG Technical Program Expanded Abstracts,2009,28:4338.
[21]
Dai W,Schuster G T.Plane-wave least-squares reverse-time migration.Geophysics,2013,78(4):S165-S177.
[22]
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.
[23]
李振春,李闯,黄建平等.基于先验模型约束的最小二乘逆时偏移方法.石油地球物理勘探,2016,51(4):738-744.Li Zhenchun,Li Chuang,Huang Jianping et al.Regularized least-squares reverse time migration with prior model.OGP,2016,51(4):738-744.
[24]
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.
[25]
黄建平,孙郧松,李振春等.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,2014,49(4):702-707.Huang Jianping,Sun Yunsong,Li Zhenchun et al.Least-squares split-step migration based on frequency-division encoding.OGP,2014,49(4):702-707.
[26]
Stolk C C,Symes W W.Kinematic artifacts in pre-stack depth migration.Geophysics,2004,69(2):562-575.
黄建平,刘培君,李庆洋等.一种棱柱波逆时偏移方法及优化.石油物探,2016,55(5):719-727.Huang Jianping,Liu Peijun,Li Qingyang et al.An optimized reverse time migration approach for the prism wave.GPP,2016,55(5):719-727.
