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三维合成震源记录交互剩余偏移速度分析
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摘要
本论文围绕三维合成震源记录交互剩余偏移速度分析课题开展研究并进行了拓展.内容包括地震波数值模拟,以提高计算效率为目的的合成震源记录叠前深度偏移算法和叠后偏移算法,以及利用控制照明的交互剩余偏移速度分析.
     地震数值模拟是在假定地下介质结构模型和相应物理参数己知的情况下,模拟研究地震波在地下各种介质中的传播规律,并计算在地面或地下各观测点所应观测到的数值地震记录中的一种地震模拟方法,它在地震勘探和天然地震领域中具有广泛的运用.在地震数据处理中,地震数值模拟计算出来的记录数据可以检验各种反演方法的正确性.
     波场数值模拟技术的发展主要体现在两个方面,即模拟精度和运算速度.傅里叶变换方法正演模拟由于具有较高的计算效率和精度而被广泛运用在地震波数值模拟中.本文对利用傅里叶变换的地震波数值模拟进行了改进和推广,并提出用哈特莱变换取代傅里叶变换的方法,以便利用当前的计算机资源有效快速地模拟地震波传播;尽管如此,用数值模拟方法提供三维合成数据以验证一些地震处理方法(如本文中的三维剩余偏移速度分析方法)仍因计算量庞大、计算时间长而有困难,为此,我们提出了合成震源正演模拟和线形震源正演模拟,合成震源正演模拟可以有效地提供合成震源记录以验证一些涉及合成震源记录相关的地震处理方法,而且不需要耗时较长的合成过程,利用线形震源正演模拟可以将合成数据用于需要利用控制照明的地震处理方法中.由于哈特莱变换具有比傅里叶变换效率高的特点,我们还把它引进到零炮检距正演模拟和偏移中.
     波动方程叠前深度偏移具有成像精确的特点,但速度较慢影响了其应用,特别是三维偏移.合成震源记录叠前深度偏移基于面炮合成技术减少了需要偏移的地震记录,提高了计算效率.在此基础上,我们利用大步长深度延拓和相位移波场插值,并与稀疏频率方法组合使用,大大减少了计算量,对二维盐丘模型、二维Marmousi模型、二维实际资料和三维盐丘模型试算表明,此方法计算时间可缩减一半以上而不影响成像质量.
     基于合成震源记录偏移的三维剩余偏移速度分析方法,建立在共成像点道集拉平的剩余曲率分析思想之上,并引进了控制照明技术.该方法使用大步长延拓与稀疏频率方法结合的合成震源记录叠前深度偏移方法,成像精确且具有较高的效率.偏移后可以从结果中直接抽取共成像点道集进行剩余曲率分析.每次迭代可对所有层位进行校正而不需要层剥离过程,这样可以减少迭代次数从而提高效率.控制照明技术的利用消除了平面波在非均匀介质中传播而发生的畸变,保证了剩余速度校正公式的平面波假设条件.三维合成数据和陆上实际资料的试算验证了该方法的有效性和实用性.并基于Qt编程技术和东方地球物理石油勘探公司开发的底层库编制了偏移速度分析软件包.
In this paper,a 3-D residual migration velocity analysis based on the synthesized source -record prestack depth migration is studied.We also extend the study to some other related topics including seismic numerical forward modeling and seismic data migration.
     Seismic numerical modeling,based on the assumption that the structure and parameters of the subsurface media are known,simulate the wavefield and calculate the numerical seismic record that should be observerd,is applied extensively in seismic exploration and earthquake seismology.In the process of seismic data,seismic numerical modeling can be used to test some inverse methods.
     The accuracy and the efficiency are the two issues to develop for the wavefied modeling. The Fourier transform method is used widespread for its high efficiency and accuracy.In the paper,the method is discussed and developed.Further,the Fourier transform method is replaced by the Hartley transform method in many cases.Theses schemes are to utilize current computer facilities to provide seismic data efficiently for testing purposes.However, to provide 3-D data for testing some seismic processing methods such as the 3-D residual migration velocity analysis is still time consuming.To overcome the obstacle,we present modeling with synthesized areal sources and linear sources.The data from modeling of the synthesized areal sources can be used to test some methods that deal with the synthesized area record without the synthesis,while the data from modeling of the linear source can be used to test some schemes in which the controlled illumination is necessary.Since the Hartley transform has advantages over the Fourier transform,we also bring the method into zero-offset forward modeling and migration.
     The prestack depth migration methods based on the wave equation are accurate. However,they are restricted by the low efficiency,especially for the 3-D cases.In the areal shot-record migration,the extrapolations need not be done for all the individual shot records,but for the areal shot record only.We use a large step to extrapolate the wavefields in the migration,and use the method in the limited-frequencies method to further improve the migration efficiencies.The numerical examples on the Marmousi model,filed data and 3-D SEG model demonstrate the method is feasible and efficient.
     The 3-D residual migration velocity analysis method based on the synthesized areal shot-record prestack depth migration is established on the idea of residual curvature.And the controlled illumination technique is brought in.The migration method adopted is the above mentioned efficient methods.After the migration,the common image gathers can be extracted directly.The utilization of the controlled illumination avoids the wave distortion during the propagation in the inhomogeneous media and make the hypothesis of the correction formula hold.With Qt programming technique and the lower libraries developed by Dongfang Geophysical Petroleum Exploration Corporation,we develpe a software package.
引文
[1]Alterman Z,Karal F C.Propagation of seismic wave in layerd media by finite-difference methods.BSSA,1968,58(I):367-398.
    [2]Alford R M,Kelly K R,Boore D M,Accuracy of finite difference modeling of the acoustic eave equation.Geophysics,1974,39(6):834-842.
    [3]Boore D M.Finite-difference methods for seismic wave propagation in heterogeneous materials in Methods in computational physics.1972,11:B.A.Bolt.Ed.,Academic Presss,Inc.
    [4]Kelly K R,Ward R W,Treitel S,Afford R M.Synthetic seismograms-a finiter-difference approach.Geophysics,1976,41:2-27.
    [5]Madariaga R.Dynamics of an expanding circular fault.Bull Seism Soc Am,1976,65:163-168.
    [6]Virieux J.S-H wave propagation in heterogeneous media:velocity-stress finiter difference methods.Geophysics,1984,49(II):1933-1957.
    [7]Virieux J.P-SV wave propagation in heterogeneous media:velocity-stress finiter difference methods.Geophysics,1986,51(4):889-901.
    [8]Igel H,Mora P,et al.Anisotropic wave propagation through finite-difference grids.Geophysics,1995,60(4):1203-1216.
    [9]Igel H,Weber M.P-SV wave pfopagation in the Earth' s mantle using finiter difference:application to heterogeneous lowermost mantle structure.Geophys,Res.Lett,1996,23:415-418.
    [10]Levander A R.Fourth-order finiter-difference P-SV seismograms.Geophysics,1988,53(11):1425-1436.
    [11]Crase E.High order(space and time) finiter-difference modeling of elastic wave equation.Expanded Abstracts of 60~(th) SEG Annual Meeting,1990,987-991.
    [12]Magnier S A,Mora P,Tarantola A.Finite difference on minimal grids.Geophysics,1994,59(9):1435-1443.
    [13]Jastram C,Tessmer E.Elastic modeling on a grid with vertically vaing spacing.Geophys Prosp,1994,42:357-370.
    [14]张剑锋,弹性波数值模拟的非规则网格差分法.地球物理学报(增刊),1998,41:357-366.
    [15]Oprsal I,Zahradnik J.Elastic finiter-difference method for irregular grids.Geophysics,1999,64(1):240-250.
    [16]Pitarka A.3D elastic finiter-difference modeling of seismic motion using staggered grids with nonuniform spacing.Bull Seism Soc Am,1999,89(1):54-68.
    [17]Nordstrom J,Carpenter M H.High-order finite difference methods,multidimensional linear problems and curvilinear coordinates.J Comput Phys,2001,173:149-174.
    [18]裴正林,牟永光.非均匀介质地震波传播交错网格高阶有限差分法模拟(石油大学学报自然科学版),2003,27(6):17-21.
    [19]周家纪,贺振华.模拟地震波传播的大网格快速差分算法.地球物理学报,1994,37(增刊):450-454.
    [20]Tessmer E,Kessler D,Kosloff D,et al.Multi-domain Chebyshev-Fourier method for the solution of the equations of motion of dynamic elasticity.Journal of Computational Physics,1992,100(2):355-363.
    [21]Tessmer E,Kosloff D.3D elastic modeling with surface topography by Chebychev spectral method.Geophysics,1994,59(3):464-473.
    [22]Hestholm S,Ruud B.2D finite-difference elastic wave modeling including surface topography.Geophysics Prospecting,1994,42(5):371-390.
    [23]Hestholm S,Ruud B,Husebye E.3D versus 2D finite-difference seismic synthetics including real surface topography.Physics of the Earth and Planetary Innteriors,1999,113(1):339-354.
    [24]董良国.复 杂地表条件下地震波传播数值模拟.勘探地球物理进展,2005,28(3):631-645.
    [25]裴正林.任意起伏地表弹性波方程交错网格高阶有限差分法数值模拟.石油地球物理勘探,2004,39(6):629-634.
    [26]Gazdag,J.Modleing of the acoustic wave equation with transform methods.Geophysics,1981,46:854-859.
    [27]Kosloff D,Baysal E.Forward modeling by a Fourier method.Geophysics,1982,47,1402-1412.
    [28]Fornberg B.The pseudospectral method-comparisions with finite-differences for the elastic wave equation.Geophysics,1987,52(4):483-501.
    [29]Kosloff D et al.Elastic wave calculation by the Fourier method.Bull.Seism Soc.Am,1984,74:875-891.
    [30]Stankovic G,Garder G H F and JMcDonald J A.Numerical solution of the elastic wave equation for an anisotropic medium by a Fourier transform methd.Expanded Abstracts of 59~(th) SEG Annual Meeting,1989,1030-1033.
    [31]Reshef M,Kosloff D,Edwards M and Hsiung C.Three dimensional acoustic modeling by the Fourier method.Geophysics,1988,53:1175-1183.
    [32]Reshef M,Kosloff D,Edwards M and Hsiung C.Three dimensional elastic modeling by the Fourier method.Geophysics,1988,53:1184-1193.
    [33]TalEzer H,Kosloff D and Koren Z.An accurate scheme for seismic forward modeling.Geophys Porsp,1987,35:479-490.
    [34]何樵登,地震波理论,1988,地质出版社.
    [35]侯安宁,何樵登.各向异性介质中弹性波记录的傅里叶变换法正演模拟.石油地球物理勘探,1994,v29:p64-71.
    [36]侯安宁,何樵登.各向异性介质中弹性波传播特征的伪谱法模拟研究.石油物探,1995,34(2):36-45.
    [37]张文生,何樵登.二维横向各向同性介质的伪谱法正演模拟.石油地球物理勘探,1998,33(3):310-319.
    [38]刘洋,李承楚.双相各向异性介质弹性波传播伪谱法数值模拟研究.地震学报,2000,22(2):132-138.
    [39]傅旦丹,何樵登.正交各向异性介质地震弹性波场的伪谱法正演模拟.石油物探,2001,40(3):8-14.
    [40]刘财,张智,邵志刚,刘洋,钟伟.线性粘弹体中地震波场伪谱法模拟技术.地球物理学进展,2005,20(3):640-644.
    [41]彭传正,李才明,王明春.基于改进BISQ模型的地震波场数值模拟.物探化探计算技术,2007,29(1):15-18.
    [42]张军舵,乐友善,王艳香.双相各向同性介质谱法地震波场数值模拟.石油物探,2008,47(4):338-345.
    [43]Lysmer H,Drake L h.h finiter element method for seismology,In Alder B,Fernbach S,Bolt B A,Eds.,Methods in computational physics,Seismology.1972,Academic Press,181-216.
    [44]Marfurt K J.Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations.Geophysics,49:533-549.
    [45]Padovani E,Priolo E,Seirani G.Low- and high-order finiter element method:experience in seismic modeling.J.Compu.Acoust.,1994,2:371-422.
    [46]Moczo P,Bysticky E,Kristek J,et al.Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures.Bull Seism Soc Am,1997,87(6):1305-1323.
    [47]黄自萍,张铭,吴文清等.弹性波传播数值模拟的区域分裂法.地球物理学报,2004,47(6):1094-2000.
    [48]马德堂,朱光明.有限元与伪谱法混合求解弹性波动方程.地球科学与环境学报,2004,26(1):61-64.
    [49]符力耘,牟永光.弹性波边界元法正演模拟.地球物理学报,1994,37(4):521-529.
    [50]Pedersen H A,Sanchez-Sesma F J,Campillo M.Three-dimensional Scattering by two-dimensional topographyis.Bull Seism Soc Am,1994,84(4):1169-1183.
    [51]Bouchon M,Schultz C,Toksoz M N.Effect of three-dimensional topography on seismic motion.Journal of Geophysical Research,1996,lOl(BS):5835-5846.
    [52]Durand S,Gaffer S,Virieus J.Seismic diffracted waves from topography using 3D discrete wave numer-boundary intergral equation simulation.Geophysics,1999,64(2):572-578.
    [53]Wu R S,Fu L Y.A hybrid method for wave propagation simulation in near surface regions.Expanded Abstracts of 68~(th) Annual Internationa SEG Meeting,1998,1456-1459.
    [54]马在田.地震成像技术-有限差分法偏移[M].北京:石油工业出版社.1989.
    [55]Gardner,G H F,Ed.Migration of seismic data.Soc.Expl.Geophys,1985.
    [56]Gardner G H F,Wang S Y,Pan N D,and Zhang Z.Dip moveout and prestack imaging:18th Offshore Tech.Conf.,1986,2,75- 84.
    [57]陆基孟主编.地震勘探原理(上、下)[M].东营:石油大学出版社.1993.
    [58]Claerbout J F.Towards a unified theory of reflection mapping.Geophysics,1971,36(4):467-581.
    [59]Schnerider W A.Integral formulation for migration in two and three dimensions.Geophysics,1978,43,49-76.
    [60]GazdagJ.Wave equation migration with the phase-shift method.Geophysics,1978,43:1342-1351.
    [61]Stolt R H.Migration by Fourier transform.Geophysics,1978,43,23-48.
    [62]Baysal E,Kosloff K D,and Sherwood J W C.Reverse time migration.Geophysics,1983,48(11):1514-1524.
    [63]McMechan G A.Migration by extrapolation of time-dependent boundary values.Geophysical Prospecting,1983,31(3):413-420
    [64]Whitmore N D.Iterative Depth Migration by Backward Time Propagation.Presented at the 53rd SEG annual meeting,Expanded Abstracts.1983.382-385.
    [65]Dickinson J.Evaluation of two-pass three-dimensional migration.Geophysics,1988,53:32-49.
    [66]Gibson B S,Lamer K L,Levin S.Efficient 3-D migration in two steps.Geophysical Prospecting,1983,31:1-33.
    [67]Jakubovicz Hand Levin S.A simple exact method of 3-D migration--theory.Geophys.Prosp.,1983,31:34-56.
    [68]Ristow D.3D downward extrapolation of seismic data in particular by finite difference methods:[Ph.D.Dissertation],University of Utrecht,The Netherlands,1980.
    [69]Hale D.Stable explicit depth extrapolation of seismic wavefields.Geophysics,1991,56(11):1770-1777.
    [70]Hale D.3-D depth migration via McClellan transformations.Geophysics,1991,56(11):1778-1785
    [71]Hedley J P.3-D migration via McClellan transformations on hexagonal grids.Geophysics,1992,57:1048-1053.
    [72]Lowenthal L,Lu R R,Sherwood J.W.C.The wave equation applied to migration.
    [73]Claerbout J F.Coarse grid calculation of waves in inhomogeneous media with application to delineation of complicated seismic structure.Geophysics,1970,35:407-418.
    [74]Claerbout J F,Johnson A G.Extrapolation of time-dependent waveforms along their path of propagation.Journal of Royal Astronomical Society,1970,26:285-293.
    [75]Claerbout J F,Doherty.Downward continuation of moveout-corrected seismograms.Geophysics,1972,37:741-768.
    [76][美]克莱波特.地球物理数据处理基础[M].北京:石油化学工业出版社.1979.
    [77]尹兵祥.频率-空间域有限差分法叠前深度偏移及其在微机群上的实现[博士学位论文].北京:中国石油大学.2005.
    [78]崔兴福.波动方程叠前深度偏移成像方法研究[博士学位论文].北京:中国科学院研究生院.2003.
    [79]Hubral P.Time migration - some ray theoretical aspects.Geophysical prospecting,1977,25:738-745.
    [80]Larner K L,Hatton L,Gibson B S et al.Depth migration of imaged time sections.Geophysics,1981,46:734-750.
    [81]Bleistein N.On imaging of reflectors in the earth.Geophysics,1987,52:931-942.
    [82]Hill N R.Gaussian-beam migration.Geophysics.1990(9),55:1416-1428.
    [83]Hill N R.Pre-stack Gaussian-beam depth migration.Geophysics,2001,66(5):1240-1250.
    [84]Yidale J E.Finite-difference calculation of traveltimes in three dimensions.Geophysics,1990,55:521-526.
    [85]Popovicic A M and Sethian J A.3-D imaging using higher order fast marching traveltimes.Geophysics,2002,67(2):604-609.
    [86]Qin F,LuG Y,Olsen K Bet al.Finite-difference solution of the eikonal equation along expanding wavefronts.Geophysics,1992,57(3):478-487
    [87]Schneider W A,Ranzinger K A,Balch A H et al.A dynamic programming approach to first arrival traveltime computation in media with arbitrarily distributed velocities.Geophysics,1992,57(1):39-50.
    [88]Moser T J.Shortest-path calculation of seismic rays.Geophysics,1991,56(1):59-67.
    [89]Nichols D E.Maximum-energy traveltimes calculated in the seismic frequency band.Geophysics,1996,61:253-263.
    [90]Reshef M,Kosloff D.Migration of common-shot gathers.Geophysics,1986,51:324-331.
    [91]Tarter M T.Simplan:simulated plane-wave exploration.46~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,1976,186-187.
    [92]Schultz P S,Claerbout A F.Velocity estimation and downward-continuation by wavefront synthesis.Geophysics,1978,43(4):691-714.
    [93]Yilmaz O,Claerbout J F.Prestack partial migration.Geophysics,1980,45(12):1753-1779.
    [94]Biondi B,Palacharla G.3-D prestack migration of common-azimuth data.Geophysics,1996,61:1822-1832.
    [95]Clarebout J F.Imaging the earth' s interior:Blackwell Scientific Publication,Inc.1985.
    [96]Gazdag J.Wave equation migration with the phase shift method.Geophysics,1978(7):1342-1351.
    [97]Stoffa P L,Fokkema J T,de LunaFreire R M et al.Split-step Fourier migration.Geophysics,1990,55(4):410-421
    [98]Ristow D,R(u|¨)hl T.Fourier finite-difference migration.Geophysics,1994,59:1882-1893.
    [99]Xie X B,Mosher C C,Wu R S.The application of wide angle screen propagator to 2-S and 3-D depth migration.70~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstract.2000:878-881.
    [100]Wu R,Jin S.Windowed GSP(Generalized Screen Propagators) migration applied to SEG/EAEG salt model data.67~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstract.1997:1746-1749
    [101]Wu R S,Wide-angle elastic wave one-way propagation in heterogeneous media and an elastic wave complex screen method.Geophys.Research,1994,99:751-766.
    [102]孙沛勇.基于波动理论的复杂地质构造地震数据成像[博士学位论文].大连:大连理工大学.2003.
    [103]Gazdag J,Sguazzero P.Migration of seismic data by phaseshift plus interpolation.Geophysics,1984,49:124-131.
    [104]Kessinger W.Extended split-step Fourier migration.62~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts.1992:917-920.
    [105]Jin S,Wu R S.Common-offset pseudo-screen depth migration.69~(th) Ann.Internat.Mtg.,Soc.ExpI.Geophys.,Expanded Abstracts,1999:1516-1519.
    [106]Wu R S,Xie X B.A complex-screen method for elastic wave one-way propagation in heterogeneous media.Expanded Abstracts of the 3rd International Congress of the Brazilian Geophysical Society,1993:631-634.
    [107]Xie X B,Wu R S.A complex-screen method for modeling elastic wave reflections.65~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded abstracts,1995:1269-1272.
    [108]Jin S,Wu R S,Depth migration with a windowed screen propagator.Journal of Seismic Exploration,1999,8:27-36.
    [109]Esmersoy C,and Oristaglio M.Reverse-time wavefield extrapolation,imaging,and inversion[J].Geophysics.1988.53(7):920-931.
    [110]Chang W.F.,McMechan G..A.,Reverse-time migration of offset vertical seismic profiling data using the excitation-time imaging condition,Geophysics,1986,51(1):67-84.
    [111]Chang W.F.,McMechan G..A.3-D elastic prestack,reverse-time depth migration [J].Geophysics.1994.59(4):597-609.
    [112]Chang W.F.,McMechan G..A.3D Acoustic prestack reverse-time migration[J].Geophysical Prospecting,1990,38:737-755.
    [113]Sun R.and McMechan G.A.Scalar reverse-time depth migration of pre-stack elastic seismic data[J].Geophysics.2001.66(5):1519-1527.
    [114]张美根,王妙月.各向异性弹性波有限元叠前逆时偏移[J].地球物理学报,2001,44(5):711-719.
    [115]李国发,熊金良,何兵寿.横向各向同性介质中的弹性波方程逆时偏移及其成像条件.物探化探计算技术,2002,24(4):289-327.
    [116]Zhang P,Liu H,Li Y M.Ray+FD Wave equation migration with application to pre-stack depth imaging of complex structures.70~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2000:489-49.
    [117]王有新,王延光,杜启震等,平面波射线追踪与面炮波场时间滞后深度成像.石油地球物理勘探,2006,41(6):615-628.
    [118]Wu R S,et al.Beamlet migration based on local perturbation theory.70~(th) SEG Annual Meeting,2000,Expanded Abstract,838-841.
    [119]Wang Y Z,Wu R S.Improvements on seismic data compression and migration using compressed data with flexible segmentation for local cosine transform.70~(th) SEG Annual Meeting,2000,Expanded Abstract,2048-2051.
    [120]Steinberg B Z,Mccoy J J.Marching acoustic fields in a phase space.J Acoust.Soc.Am.1993,93:188-204.
    [121]Steinberg B Z,Evolution of local spectra in smoothly varying non-homogeneous environment-local canonization and marching algorithms.J Acoust.Soc.Am.1993,93:2566-2580.
    [122]高静怀.相空间地震波场成像初探,小波用于地震波场属性分析.[博士后出站报告].北京:中国科学院地质与地球物理研究所,2000.
    [123]Steinberg B Z,Birman R.Phase space marching algorithm in the presence of a planar wave velocity discontinuity-A Qualitative study.J Acoust.Soc.Am.1998,98:484-494.
    [124]Feng K,Qing M Z.Hamilton algorithm and comparative numerical study.Computational Physical Communication,1991,65:173-187.
    [125]Li Jianyong,Liu Hong,Li Youming.Recursive method to calculate the migration aperture function.71th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2000,1867-1870.
    [126]Li Bing,Liu Hong,Li Youming.Method of Creating Wavefields Extrapolating Short Operator.71th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2000,1065-1068.
    [127]Yang hui,Liu Hong,Li Youming.The multipoint-symplectic Approximaion of one-way wave equation operator.71th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2000,544-546.
    [128]Luo Mingqiu,Liu Hong,Li Youming.An efficient hybrid LU decomposition method for implicit 3D depth migration.71th Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2000,1871-1874.
    [129]罗明秋,刘洪,李幼铭.地震波传播的哈密顿表述及辛几何算法.地球物理学报,2001,44(1):120-128.
    [130]罗明秋,刘洪,李幼铭.基于螺旋坐标的地震波场隐式辛算法.地球物理学报,2001,44(3):379-388.
    [131]杨辉,高亮,刘洪,李幼铭,范兴才.微机群并行实现Marmousi模型叠前深度偏移.地球物理学进展,2001,16(3):58-75.
    [132]高红伟,李幼铭,刘洪.图法及其在Toeplitz矩阵分解中的应用.地球物理学进展,2001,16(4):35-42.
    [133]Mosher C C,Keho T H,Weglein A B,and Foster D J.The impact of migration on AVO:Geophysics,1996,61,1603-1615.
    [134]Gray S H.True-amplitude seismic migration:A comparison of three approaches:Geophysics,1997,62:929-936.
    [135]Banik,N C,Velocity anisotropy of shales and depth estimation in the North Sea basin:Geophysics,1984,49,1411-1419.
    [136]Doherty S M,Claerbout J F.Structure indepencent velocity estimatinon.Geophysics,1976,41(5):850-881.
    [137]Faye J P,Jeannout J P,Denelle E.Prestack migration velocities from depth focusing analysis.Expanded Abstracts of the 56~(th) Annual Internat SEG Meeting,1986,438-440.
    [138]MacKay S,Abma R.Depth-focusing analysis using a wavefront-curvature criterion.Geophysics,1993,58(8):1148-1156.
    [139]Lanfond C F,Levanderh R.Migration moveout analysis and depth focusing.Geophysics,1993,58(1):91-100.
    [140]Wang B,Pann K,Malloy J.Macro velocity model estimation through model-based globally-optimized depth focusing analysis.Expanded Abstracts of the 68~(th) Annual Internat SEG Meeting,]998,36-40.
    [141]Berkhout A J and Rietveld W E.Determination of macro models for prestack migration:Part Ⅰ,estimation of macro velocities.64~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys,Expanded Abstracts.1994:1330-1333.
    [142]Kabir M M,Verschuur D J.Migration velocity analysis.using the common focus point technology.66~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts.1996:407-410.
    [143]Berkhout A J.Pushing the limits of seismic imaging.Part Ⅰ:Prestack migration in terms of double dynamic focusing.Geophysics,1997,62:937-953.
    [144]Berkhout A J.Pushing the limits of seismic imaging,Part Ⅱ:Integration of prestack migration,velocity estimation and AVO analysis.Geophysics,1997,62:954-969.
    [145]Cox B E,Verschuur D J.Data-driven tomographic inversion of focusing operators.71~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2001:722-725.
    [146]de Rijzen M,Verschuur D.3D focusing operator estimation using sparse data.Expanded Abstracts of the 74~(th) Annual Internat SEG Meeting.2048-2051.
    [147]王成祥,张关泉,刘超颖等.速度模型反演的CFP方法.石油地球物理勘探,2003,38(2):139-146.
    [148]刘超颖,王成祥,赵波等.CFP层速度扫描方法.石油物探,2003,42(3),294-297.
    [149]辛可峰,王华忠,马在田等.CFP道集交互速度分析.石油地球物理勘探.2005,40(4):386-390.
    [150]Al-Yahya K M.Velocity analysis by iterative profile migration.Geophysics,1989,54:718-729.
    [151]Liu Z.Bleistein N.Velocity analysis by residual moveout.Expanded Abstracts of the 62 nd Annula Internat SEG Meeting,1992,1034-1036.
    [152]Liu Z.Bleistein N.Migration velocity analysis:Theory and an iterative algorithm.Geophysics,1995,60(1),142-153.
    [153]Meng Z,Bleistein N,Wyatt K D.3-D Analytical migration velocity analysis Ⅰ:Two-step velocity estimation by reflector-normal update.69~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,1999,1727-1730
    [154]Meng Z,Bleistein N.On velocity/depth ambiguity in 3-D migration velocity analysis.Geophysics,2001,66(1),255-260
    [155]Jiao Junru,Residual migration velocity analysis in the plane wave domain:Theory and applications.[PH.D.dissertation],Univ.of Taxas at Austin.2001
    [156]Residual migration-velocity analysis in the plane-wave domain.Geophysics,2002,67(4):1258-1269.
    [157]Solin D著,袁鹏飞译.24小时学通QT编程.北京:人民邮电出版社,2000.
    [158]Zhou,B.,1992,On:"The use of Hartley transform in geophysical applications"by R.Saatcilar,S.Ergintav,and N.Canitez GEOPHYSICS,55,1488-1495,November 1990) and "Solving elastic wave equations with the Hartley method" by R.Saatcilar,and S.Ergintav(GEOPHYSICS,56,274-278,February 1991):Geophysics,57,196- 197.
    [159]Dablain M A.The application of high-order differencing to scalar wave equation.Geophysics,1986,51(1),54-66.
    [160]牟永光,裴正林.三维复杂介质地震数值模拟.石油工业出版社,2005.
    [161]Cerjan,C.,Kosloff.D.,Kosloff.R.and Reshef.M.,A nonreflecting boundary condition for discrete acoustic and elastic wave equation:Geophysics,1985,50,705-708.
    [162]张叔伦,孙沛勇.基于平面波合成的傅立叶有限差分叠前深度偏移.石油地球物理勘探,1999,34(1):1-7
    [163]赵景霞,张叔伦,孙沛勇,倪逸.三维并行合成震源记录叠前深度偏移.地球物理学报,2006,49(1):205-233
    [164]Sirgue L,Pratt R G.Frequency domain waveform inversion:a strategy for choosing frequencies.71~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2001
    [165]Plessix R E,Mulder W A and Pratt R G.Frequency domain finite-difference migration with only a few frequencies.71~(th) Ann.Internat.Mtg.,Soc.Expl.Geophys.,Expanded Abstracts,2001.
    [166]Bednar J B,NeaIe G H.Limited vs.full frequency wave-equation imaging.72~(th) Ann.Internat.Mtg..Soc.EXpl.Geonhvs..Expanded Abstracts.2002
    [167]王昌龙.控制照明合成震源记录交互剩余偏移速度分析:[博士学位论文].大连:大连理工(?)应用数学系,2007
    [168]张文生.裂步Hartley变换叠前深度偏移,石油物探,2003,42,149-153.
    [169]LeBras.R.and Clayton.R.W..An iterative inversion of backscattered acoustic wave Geophysics,1988,53:501-508.
    [170]Lambare,G.,Virieux,J.,Mandariaga,R.,and Jin,S..Iterative asymptotic inversion the acoustic approximation.Geophysics,1992,57:1138-1154.
    [171]Nemeth.T.,Wu.C.and Schuster.G.T..Least-squares migration of incomplete reflection d(?)Geophysics,1999,64:208-221.
    [172]Duquet,B.,Marfurt,J.K.,and Dellinger,J.A..Kirchhoff modeling,inversion for reflectivity,and subsurface illumination,Geophysics,2000,65:1195-1209.
    [173]Jonathan Richard Shewchuk.An introduction to the conjugate gradient method without agonizing pain.School of Computer Science Camegie Mellon University,1994.
    [174]Duijindam,A.J.W.,Bayesian estimation in seismic inversion Part Ⅰ-principles,Geop Prosp.,1988,36(8),878-898.
    [175]Menke,W.,Geophysical Data analysis:Discreter Inverse Theory:Academic Press,Inc,1984.
    [176]Claerbout,J.F..Earth Soundings Analysis:Processing versus Inversion.Blackwell Scientific Publications,2004.
    [177]Diebold J B,Stoffa P L The traveltime equation,tau-p mapping,and inversion of common midpoint data.Geophysics,1981,46(3),238-254.
    [178]Diebold J.,1989,Tau-p analysis in one,two and three dimensions:P.L.Stoffa (ed),Tau-p:A Pane Wave Approach to the analysis of Seismic Data,71-117.Kluwer Academic Publishers Group,The Netherlands.

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