Based on a single SLS isotropic medium second-order pseudo-differential equation,the authors used the pseudo-spectral method to calculate numerical simulation.The authors propose introduction of regularization operator method to eliminate high-frequency instability caused by the backward propagation inverse process so as to build a stable reverse-time propagator and to achieve the amplitude compensating visco-acoustic medium least-squares reverse time migration.Marmousi model shows that,compared with least-squares reverse-time migration visco-acoustic least-squares reverse-time migration can correct the effect of viscosity and produce more accurate and better reliable amplitude preservation imaging section.
邓文志, 李振春, 王延光, 孙小东. 基于稳定逆时传播算子的黏声介质最小二乘逆时偏移[J]. 物探与化探, 2015, 39(4): 791-796.
DENG Wen-Zhi, LI Zhen-Chun, WANG Yan-Guang, SUN Xiao-Dong. The least-squares reverse time migration for visco-acoustic medium based on a stable reverse-time propagator. Geophysical and Geochemical Exploration, 2015, 39(4): 791-796.
[1] Carcione J M.Wave propagation in anisotropic linear viscoelastic media:Theory and simulated wavefields[J].Geophysical Journal International,1990,101(3):739-750.[2] 孙成禹.地震波传播理论与方法[M].东营:中国石油大学出版社,2007.[3] Bickel S H,Natarajan R R.Plane-wave Q deconvolution[J].Geophysics,1985,50(6):1426-1439.[4] Hargreaves N D,Calvert A J.Inverse Q filtering by Fourier transform[J].Geophysics,1991,56(4):519-527.[5] 王珊,于承业,王云专,等.稳定有效的反Q滤波方法[J].物探与化探,2009,33(6):696-699.[6] Dai N,West G F.Inverse Q migration[C]//Expanded Abstracts of the 64th SEG Annual International Meeting,1994:1418-1421.[7] Traynin P J,Reilly J M.Amplitude and bandwidth recovery beneath gas zones using Kirchhoff prestack depth Q-migration[C]//Expanded Abstracts of the 78th SEG Annual International Meeting,2008:2412-2416.[8] Xie Y,Xin K,Sun J,et al.3D prestack depth migration with compensation forf requency dependent absorption and dispersion[C]//Expanded Abstracts of the 79th SEG Annual International Meeting,2009:2919-2922.[9] Zhang J,Wu J,Li X.Compensation for absorption and dispersion in prestack migration:An effective Q approach[J].Geophysics,2013,78(1):S1-S14.[10] 杨午阳.F-X 域黏弹性波动方程保幅偏移[J].石油物探,2003,42(3):285-288.[11] 孙天真,谷玉田,张惠欣,等.基于黏声介质的反Q滤波叠前深度偏移方法研究[J].石油物探,2013,52(3):275-279.[12] 郭恺,娄婷婷.双复杂介质条件下的反Q滤波偏移延拓算子研究[J].物探与化探,2014,38(3):571-576.[13] 屈念念,李家斌.基于P+S 波震源的弹性波叠前逆时偏移方法[J].物探与化探,2013,37(5):859-865.[14] Deng F,McMechan G A.True-amplitude prestack depth migration[J].Geophysics,2007,72(3):S155-S166.[15] Fletcher R P,Nichols D,Cavalca M.Wavepath-consistent effective Q estimation for Q compensated reserve-time migration[C]//Expanded Abstracts of the 74th EAGE Annual International Conference and Exhibition,2012.[16] Zhang Y, Zhang H.Compensating for visco-acoustic effects in reverse-time migration[C]//Expanded Abstracts of the 80th SEG Annual International Meeting,2010:3160-3164.[17] Zhu T Z,Harris J M,Biondi B.Q-compensated reverse-time migration[J].Geophysics,2014,73(9):S77-S87.[18] Claerbout J F.Earth soundings analysis:Processing versus inversion[M].Blackwell Science,1992.[19] Bamberger G,Chavent C,Hemon,et al.Inversion of normal incidence seismograms[J].Geophysics,1982,47(5):757-770.[20] 杨其强,张叔伦.最小二乘傅立叶有限差分偏移[J].地球物理学进展,2008,23(2):433-437.[21] Chavent G,Plessix R E.An optimal true-amplitude least-squares pre-stack depth-migration operator[J].Geophysic,1999,64(2):508-515.[22] Yao G,Jakubowicz H.Non-linear least-squares reverse-time migration[C]//Expanded Abstracts of the 82nd SEG Annual International Meeting,2012.[23] Dai W,Schuster G T.Plane-wave least-squares reverse time migration[J].Geophysics,2013,78(4):S165-S177.[24] Zhang D L,Schuster G T.Least-squares reverse time migration of multiples[J].Geophysics,2014,79(1):S11-S21.[25] 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[J].石油地球物理勘探,2014,49(1):107-112.[26] Dai W,Huang Y S,Schuster G T.Least-squares reverse time migration of marine data with frequency-selection encoding[J].Geophysics,2013,78(4):S233-S242.[27] Dai W,Wang X,Schuster G T.Least-squares migration of multisource data with a deblurring filter[J].Geophysics,2011,76(5):135-146.[28] Schuster G T,Huang Y,Dai W,et al.Theory of multisource crosstalk reduction by phase-encoded statics[J].Geophysical Journal International,2011,184(2):1289-1303.[29] Dai W,Fowler P,Schuster G T.Multi-source least-squares reverse time migration[J].Geophysical Prospecting,2012,60(4):681-695.[30] Bai J,Chen G,Yingst D,et al.Attenuation compensation in viscoacoustic reverse time migration[C]//Expanded Abstracts of the 83rd SEG Annual International Meeting,2013:3825-3830.[31] Carcione J.Wave fields in real media:wave propagation in anisotropic,anelastic and porous media[M].Elsevier Ltd:Pergamon Press,2001.[32] Lou M,Rial J A.Modelling elastic wawe propagation in inhomogeneous anisotyopic media by the pseudospectral method[J].Geophysics,120(10):60-72.[33] Carcione J M.A generalization of the Fourier pseudospectral method[J].Geophysics,2010,75(6):A53-A56.[34] Liu F Q,Zhang S,Morton A,et al.Anti-dispersion wave equation for modelling and reverse-time migration[C]//Expanded Abstracts of the 78th SEG Annual International Meeting,2008:2277-2281.[35] Lindeberg T.Scale-space theory in computer vision[M].Kluwer Academic Publisher,1994.[36] Beydoun W B,Mendes M.Elastic ray-born l2-migration/inversion[J].Geophysical Journal International,1989,97(1):151-160.
