时间推移地震反演的连续模型与算法
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摘要
针对时间推移地震反演问题建立了依赖勘探时间的数学模型,并在此基础上设计了全局收敛的连续型及逐次递归算法.将同伦方法与Tikhonov正则化方法相结合,设计了初次勘探反演的同伦-正则化方法.以三维时间推移地震为例,在连续型及逐次递归算法的基础上构造了快速的局域化反演算法.数值模拟结果说明了上述方法都是有效的.
Mathematical models for time-lapse seismic inversion are designed,which depend on the prospecting time.On the basis of this kind of models,the globally convergent continuous and recursive algorithms are constructed.For the first seismic prospecting inversion,a homotopy method and Tikhonov regularization are combined into the homotopy-regularization method.As a concrete example for the 3-D time-lapse seismic problem,a localized inversion algorithm is designed based on the continuous and recursive methods.Numerical simulations indicate that these methods are effective.
Mathematical models for time-lapse seismic inversion are designed,which depend on the prospecting time.On the basis of this kind of models,the globally convergent continuous and recursive algorithms are constructed.For the first seismic prospecting inversion,a homotopy method and Tikhonov regularization are combined into the homotopy-regularization method.As a concrete example for the 3-D time-lapse seismic problem,a localized inversion algorithm is designed based on the continuous and recursive methods.Numerical simulations indicate that these methods are effective.
引文
[1]陈小宏,易维启.时移地震油藏监测技术研究.勘探地球物理进展,2003,26(1):1~6Chen X H,Yi W Q.Study on time-lapse seismic reservoirmonitoring.Progress in Exploration Geophysics(in Chinese),2003,26(1):1~6
[2]易维启,王家林.油气藏地球物理监测的基础及其方法探讨.同济大学学报,2002,28(6):711~716Yi W Q,Wang J L.Basis and methods research of oil and gas poolgeophysical detection.Journal of Tongji University(in Chinese),2002,28(6):711~716
[3]Robertsson J O A,Chapman C H.An efficient method for calculatingfinite-difference seismograms after model alterations.Geophysics,2000,65(3):907~918
[4]Robertsson J O A,Ryan-Grigor S,Sayers C M,et al.A finite-difference injection approach to modeling seismic fluid flowmonitoring.Geophysics,2000,65(3):896~906
[5]Abubakar A,Van den Berg P M,Fokkema J T.A feasibility studyon nonlinear inversion of time-lapse seismic data.70th Ann.InternetSEG.Expanded Abstracts,2001.1664~1667
[6]Gluck S,Deschizeaux B,Mignot A,et al.Time-lapse impedanceinversion of post-stack seismic data.70th Ann.Internet SEG.Expanded Abstracts,2000.509~512
[7]李景叶,陈小宏.时移地震波阻抗反演方法研究.勘探地球物理进展,2003,26(1):41~44Li J Y,Chen X H.The method for impedance inversion of time-lapseseismic data.Progress in Exploration Geophysics(in Chinese),2003,26(1):41~44
[8]Day-Lewis F D,Harris J M,Gorelick S M.Time-lapse inversion ofcrosswell radar data.Geophysics,2002,67(6):1740~1752
[9]Tikhonov A N,Arsenin V Y.Solution of Ill-Posed Problems.NewYork:John Wiley and Sons,1977
[10]Jegen M D,Evegrett M E,Schultz A.Using homotopy to invertgeophysical data.Geophysics,2001,66(6):1749~1760
[11]Everett M E.Homotopy,polynomial equations,gross boundary data,and small Helmholtz systems.J.Comput.Phys.,1996,124(2):431~441
[12]冯国峰,韩波,刘家琦.二维波动方程约束反演的大范围收敛广义脉冲谱方法.地球物理学报,2003,46(2):265~270Feng G F,Han B,Liu J Q.Widely convergent generalized pulse-spectrum methods for 2-D wave equation inversion.Chinese J.Geophys.(in Chinese),2003,46(2):265~270
[2]易维启,王家林.油气藏地球物理监测的基础及其方法探讨.同济大学学报,2002,28(6):711~716Yi W Q,Wang J L.Basis and methods research of oil and gas poolgeophysical detection.Journal of Tongji University(in Chinese),2002,28(6):711~716
[3]Robertsson J O A,Chapman C H.An efficient method for calculatingfinite-difference seismograms after model alterations.Geophysics,2000,65(3):907~918
[4]Robertsson J O A,Ryan-Grigor S,Sayers C M,et al.A finite-difference injection approach to modeling seismic fluid flowmonitoring.Geophysics,2000,65(3):896~906
[5]Abubakar A,Van den Berg P M,Fokkema J T.A feasibility studyon nonlinear inversion of time-lapse seismic data.70th Ann.InternetSEG.Expanded Abstracts,2001.1664~1667
[6]Gluck S,Deschizeaux B,Mignot A,et al.Time-lapse impedanceinversion of post-stack seismic data.70th Ann.Internet SEG.Expanded Abstracts,2000.509~512
[7]李景叶,陈小宏.时移地震波阻抗反演方法研究.勘探地球物理进展,2003,26(1):41~44Li J Y,Chen X H.The method for impedance inversion of time-lapseseismic data.Progress in Exploration Geophysics(in Chinese),2003,26(1):41~44
[8]Day-Lewis F D,Harris J M,Gorelick S M.Time-lapse inversion ofcrosswell radar data.Geophysics,2002,67(6):1740~1752
[9]Tikhonov A N,Arsenin V Y.Solution of Ill-Posed Problems.NewYork:John Wiley and Sons,1977
[10]Jegen M D,Evegrett M E,Schultz A.Using homotopy to invertgeophysical data.Geophysics,2001,66(6):1749~1760
[11]Everett M E.Homotopy,polynomial equations,gross boundary data,and small Helmholtz systems.J.Comput.Phys.,1996,124(2):431~441
[12]冯国峰,韩波,刘家琦.二维波动方程约束反演的大范围收敛广义脉冲谱方法.地球物理学报,2003,46(2):265~270Feng G F,Han B,Liu J Q.Widely convergent generalized pulse-spectrum methods for 2-D wave equation inversion.Chinese J.Geophys.(in Chinese),2003,46(2):265~270
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