逆散射理论的发展及应用前景
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摘要
逆散射理论作为量子力学发展的产物,目前在地震数据处理方面得到了较为广泛的应用.逆散射成像是通过散射体外部场的探测来获得散射体内部的信息,它是近年来发展比较迅速的一种成像方法,其突出的应用是运用逆散射序列中的一阶近似项进行深度成像.本文对逆散射理论在国内外的发展历程进行较为系统的概括和总结,在此基础上,对逆散射理论的应用前景进行了分析.逆散射理论在多次波的压制、界面奇性反演、大扰动深度成像等方面具有广阔的应用前景.
At present,inverse scattering theory(IST),which comes from quantum mechanics, is widely used in the field of seismic data processing.Inverse scattering imaging can obtain the interior information of object by analyzing the exterior field data detected.This is the new and strongly method for geophysicists which know the deep structure in the earth.The development of IST is systematically generalized and summarized in the paper.At the same time,its future application and developing direction are analyzed.IST provides wide reaching field in suppressing multiple,singular inversion of interface,depth imaging of large perturbation model.
At present,inverse scattering theory(IST),which comes from quantum mechanics, is widely used in the field of seismic data processing.Inverse scattering imaging can obtain the interior information of object by analyzing the exterior field data detected.This is the new and strongly method for geophysicists which know the deep structure in the earth.The development of IST is systematically generalized and summarized in the paper.At the same time,its future application and developing direction are analyzed.IST provides wide reaching field in suppressing multiple,singular inversion of interface,depth imaging of large perturbation model.
引文
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[19]杨文采.非线性地震反演方法的补充及比较[J].石油物探,1995,34(4):109~116.
[20]杨文采.地震波反演的BG-逆散射方法[J].地球物理学报,1995,38(3):358~366.
[21]尹峰,王俊生.最大熵时域逆散射层析成像的研究[J].地球物理学报,1994,37(5):673~681.
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[28]Berkhout J,Verschuur D J.Estimation of multiple scatteringby iterative inversion,part II:Practical aspects and examples[J].Geophysics,1997,62(5):1596~1611.
[29]Beylkin G.Imaging of discontinuities in the inverse scatteringproblem by inversion of a csusal generalized Radon transform[J].J Math Phys,1985,26(1):99~108.
[30]Bleistein N,Cohen J K,John W Stockwell Jr.Mathematicsof Multi-dimensional Seismic Imaging,Migration,and Inver-sion[J].Springer Verlag,New York,1996.
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[40]Claerbout J.著,许云,译.地震成像理论及方法[M].北京:石油工业出版社,1991.
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[44]Cohen J K,Bleistein N.Three-dimensional Born inversionwith an arbitrary referece[J].Geophysics,1986,51(8):1552~1558.
[45]Cohen J K.Bleistein N.Velocity inversion procedure for a-coustic waves[J].Geophysics,1979,44(6):1077~1087.
[46]Dong Wenjie,Emanue M J,Bording P,et al.A computerimplementation of 2.5D common-shot inversion[J].Geo-physics,1991,56(9):1384~1394.
[47]Eaton D W.Weak elastic-wave scattering from massive sul-fide orebodies[J].Geophysics,1999,64(1):289~299.
[48]Hagin F G,Cohen J K.Refinement to the linear velocity in-version theory[J].Geophysics,1984,49(2):112~118.
[49]Howard M S.Inverse scattering for a layered acoustic medi-um using the first-order equations of motion[J].Geophysics,1983,48(2):163~170..
[50]Huang Lian-Jie,Fehler M C,Wu Ru-Shan.Extended localBorn Fourier migration method[J].Geophysics,1999,64(5):1524~1534.
[51]Ikelle L T.Using even terms of the scattering series for deg-hosting and multiple attenuation of ocean-bottom cable data[J].Geophysics,1999,64(2):579~592.
[52]Jost R,Walte K.Construction of a potential from a pahaseshift[J].Physical Review.1952,87(6):977~991.
[53]Kessinger W.Extended split-step Fourier migration[J].62nd Ann Internat Mtg,Soc Expl Geophys,Expanded Ab-stracts,1992,917~920.
[54]Kristensson G,Krueger R J.Direct and inverse scattering inthe time domain for a dissipative wave equation I[J].Scatter-ing operators J Math Phys,1986,27(6):1667~1682.
[55]Kristensson G,Krueger R J.Direct and inverse scattering inthe time domain for a dissipative wave equation II[J].Simul-taneous reconstruvtion of disspation and phase velocity pro-files.J Math Phys,1986,27(6):1683~1693.
[56]Matson K H.The relationship between scattering theory andthe primaries and multiples of reflection seismic data[J].Journal of Seismic Exploration,1996,5:63~78.
[57]Matson K H,Weglein A B.Removal of elastic interface mul-tiples from land and ocean bottom data using inverse scatter-ing[J].Annual Meeting Abstracts,Society Of ExplorationGeophysicists,1996,1526~1530.
[58]Matson K H.An inverses scattering series method for atten-uating elastic multiples from multicomponent land ocean bot-tom seismic data[J].Ph D Theory,The University of BritishColumbia,1997.
[59]Moses H E.Calculation of the scattering potential from re-flection coefficients[J].Physical Review,1955,102(2):559~567.
[60]M.Nieto-Vesperinas,Innverse scattering problems:A studyin terms of the zeros of entire functions[J].J Math Phys,25(6):2109~2115.
[61]Newton R G.Inverse scattering:I.One dimension[J].JMath Phys,1980,21(3):493~505.
[62]Newton R G.Inverse scattering:II.Three dimensions[J].JMath Phys,1980,21(7):1698~1715.
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