一种改进的近地表层析成像SIRT算法
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摘要
针对联合迭代重建技术(simultaneous iterative reconstruction technique,SIRT)应用于近地表层析成像时,由于系数矩阵A与旅行时残差Δt不完全匹配而易出现修正过度的问题,本文提出一种改进的SIRT算法.用炮点与检波点的距离d修正约束旅行时残差Δt,改进了A与Δt的匹配性较差的问题.验算结果表明:该算法能够有效地抑制修正过度现象,而得到较好的重建图像.
When simultaneous iterative reconstruction technique(SIRT) was applied in the near-surfacing structure,there was the problem of over-adapting in it.It was because that coefficient metrice A was not fit for the travel time Δt.The paper analyzed the limitation of SIRT and presented an improved method to weigh the travel time residual by the distance d from the source to the receiver.The calculating results showed that the method could solve the shortage and get better reconstruction images.
When simultaneous iterative reconstruction technique(SIRT) was applied in the near-surfacing structure,there was the problem of over-adapting in it.It was because that coefficient metrice A was not fit for the travel time Δt.The paper analyzed the limitation of SIRT and presented an improved method to weigh the travel time residual by the distance d from the source to the receiver.The calculating results showed that the method could solve the shortage and get better reconstruction images.
引文
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[13]傅淑芳,朱仁益.地球物理反演问题[M].北京:地震出版社,1998:203-209.Fu Shufang,Zhu Renyi.Geophysical Inverse Problems[M].Beijing:Seismological Press,1998:203-209(Ch).
[14]林伯香,孙晶梅,徐颖,等.复杂地表条件静校正中的3D表层速度层析反演研究[J].石油物探,2005,44(5):454-457.Lin Boxiang,Sun Jingmei,Xu Ying,et al.3D TomographicImaging of Near-Surface Velocity for Complex Near Sur-face Statics Calculation[J].Geophysical Prospecting forPetroleum,2005,44(5):454-457(Ch).
[15]Philip C.Dual Tomography for Imaging ComplexStructures[J].Geophysics,1991,56(9):1395-1404.
[2]高星.地震层析成像研究的回顾与展望[J].地球物理学进展,2002,15(4):41-45.Gao Xing.Advance and Review in Seismic Tomo-graphy Research[J].Progress in Geophysics,2002,15(4):41-45(Ch).
[3]刘盛东,李承华.地震走时层析成像算法与比较[J].中国矿业大学学报,2000,29(2):211-214.Liu Shengdong,Li Chenghua.Algorithm and Compar-ison of Seismic Travel Time Computerized Tomo-graphy Technique[J].Journal of China Universityof Mining&Technology,2000,29(2):211-214(Ch).
[4]常旭,刘伊克.地震正反演与成像[M].北京:华文出版社,2001:26-34,85-95.Chang Xu,Liu Yike.Forward and Inverse Method ofSeismic Tomography[M].Beijing:Huawen Press,2001:26-34,85-95(Ch).
[5]周建宇.井间地震研究与应用[D].兰州:中国科学院兰州地质研究所,2002.Zhou Jianyu.Research and Application of Cross wellSeismic[D].Lanzhou:Lanzhou Institute of Geology,Chinese Academy of Sciences,2002(Ch).
[6]宿淑春,王守东,吴律.井间层析成像的平滑SIRT算法[J].石油大学学报(自然科学版),2001,25(6):29-31.Su Shuchun,Wang Shoudong,Wu Lü.SmoothingSIRT Arithmetic for Cross-Well Travel-Time Tomo-graphy[J].Journal of the University of Petroleum,2001,25(6):29-31(Ch).
[7]Trampert J.Global Seismic Tomography:the InverseProblem and Beyond[J].Inversion Problems,1998,14:371-385.
[8]Scales J A,Gersztenkorn A.Robust Methods in Inverse-Theory[J].Inverse Problems,1988,4:1071-1091.
[9]张元生,李清河,刘耀伟,等.地震层析成像软件[J].西北地震学报,2003,25(2):170-173.Zhang Yuansheng,Li Qinghe,Liu Yaowei,et al.TheSeismic Tomography Software[J].Northwestern Seis-mological Journal,2003,25(2):170-173(Ch).
[10]吴振利,李家彪,阮爱国.地震层析成像及其国内外研究进展[J].东海海洋,2003,21(3):51-64.Wu Zhenli,Li Jiabiao,Ruan Aiguo.Seismic Tomo-graphy and Its Development in China[J].DonghaiMarine Science,2003,21(3):51-64(Ch).
[11]杨晓春,李小凡,张美根.地震波反演方法研究的某些进展及其数学基础[J].地球物理学进展,2001,16(4):96-107.Yang Xiaochun,Li Xiaofan,Zhang Meigen.Progressand Mathematical Basis of Investigations of Seismic In-version[J].Progress in Geophysics,2001,16(4):96-107(Ch).
[12]Li Cuiping,Robert L.Seismic Tomography UsingTravel-Time Surfaces for Experiments in the Laborato-ry[J].Journal of Geophysics and Engineering,2005,2:231-237.
[13]傅淑芳,朱仁益.地球物理反演问题[M].北京:地震出版社,1998:203-209.Fu Shufang,Zhu Renyi.Geophysical Inverse Problems[M].Beijing:Seismological Press,1998:203-209(Ch).
[14]林伯香,孙晶梅,徐颖,等.复杂地表条件静校正中的3D表层速度层析反演研究[J].石油物探,2005,44(5):454-457.Lin Boxiang,Sun Jingmei,Xu Ying,et al.3D TomographicImaging of Near-Surface Velocity for Complex Near Sur-face Statics Calculation[J].Geophysical Prospecting forPetroleum,2005,44(5):454-457(Ch).
[15]Philip C.Dual Tomography for Imaging ComplexStructures[J].Geophysics,1991,56(9):1395-1404.
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