地震波反演成像方法的理论分析与对比
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摘要
全波形反演、旅行时层析、最小二乘偏移和偏移速度分析具有相同的反演框架,以Bayes估计理论为基础对这些方法进行了分析和对比,证明了全波形反演能够利用最多的地震信息,但多重因素的叠加加大了其实用性的难度。针对这一问题,以特征波形反演为指导,对提取的地震波场的特征化信息进行了地震反演,并对其反演方案进行了理论分析和对比。
Based on the mathematical and physical theory of wave equation,the full waveform inversion,travel-time tomography,least squares migration and migration velocity analysis can be included into a same inversion frame.Based on Bayes theory,this paper analyzed and compared these methods.It is proved that the full waveform inversion can use most seismic information,but the overlying of different information increases the difficulty of its usage.Under the guidance of signature waveform inversion,the characterized information were extracted to carry out seismic inversion,and several schemes were analyzed and compared theoretically.
Based on the mathematical and physical theory of wave equation,the full waveform inversion,travel-time tomography,least squares migration and migration velocity analysis can be included into a same inversion frame.Based on Bayes theory,this paper analyzed and compared these methods.It is proved that the full waveform inversion can use most seismic information,but the overlying of different information increases the difficulty of its usage.Under the guidance of signature waveform inversion,the characterized information were extracted to carry out seismic inversion,and several schemes were analyzed and compared theoretically.
引文
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[16]Xie X B,Yang H.The finite-frequency sensitivity kernel for migration residual moveout and its applications in migration velocity analysis[J].Geophysics,2008,73(6):S241-S249.
[17]Pratt R G.Seismic waveform inversion in the frequency domain,PartⅠ:Theory and verification in a physical scale model[J].Geo-physics,1999,64(3):888-901.
[18]Shin C,Cha Y H.Waveform inversion in the Laplace domain[J].Geophysical Journal International,2008,173(3):922-931.
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[20]Xu S,Wang D,Chen F,et al.Full waveform inversion for reflected seismic data[C].74th EAGE Conference&Exhibition,2012:W024.
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[22]任浩然.声介质地震波反演成像方法研究[D].上海:同济大学海洋与地球科学学院,2011.
[23]Bunks C,Saleck F M,Zaleski S,et al.Multiscale seismic waveform inversion[J].Geophysics,1995,60(5):1457-1473.
[2]Claerbout J F.Toward a unified theory of reflector mapping[J].Geophysics,1971,36(3):467-481.
[3]Tarantola A.Inversion of seismic reflection data in the acoustic approximation[J].Geophysics,1984,49(8):1259-1266.
[4]Barnes C,Charara M,Tsuchiya T.Feasibility study for an anisotropic full waveform inversion of cross-well seismic data[J].Geophysical Prospecting,2008,56(6):897-906.
[5]Malinowski M,Operto S,Ribodetti A.High-resolution seismic atte-nuation imaging from wide-aperture onshore data by visco-acoustic frequency-domain full-waveform inversion[J].Geophysical Journal International,2011,186(3):1179-1204.
[6]Al-Yahya K.Velocity analysis by iterative profile migration[J].Geophysics,1989,54(6):718-729.
[7]Deregowski S.Common-offset migrations and velocity analysis[J].First Break,1990,8(6):225-234.
[8]Sava P,Biondi B.Wave-equation migration velocity analysis—Ⅰ:Theory[J].Geophysical Prospecting,2004,52:593-606.
[9]Devaney A J.A filtered backpropagation algorithm for diffraction tomography[J].Ultrasonic Imaging,1982,4(4):336-350.
[10]Wu R S,Toksoz M N.Diffraction tomography and multisource holography applied to seismic imaging[J].Geophysics,1987,52(1):11-25.
[11]De Wolf D A.Renormalization of EM fields in application to largeangle scattering from randomly continuous media and sparse particle distributions[J].IEEE transactions on Antennas and Propagation,1985,33:608-615.
[12]朱小三.地震散射点成像和非均匀介质中广义散射层析成像反演[D].北京:北京大学地球与空间科学学院,2010.
[13]刘玉柱,董良国.初至波层析影响因素分析[J].石油地球物理勘探,2007,42(5):544-553.
[14]Billette F,Lambare G.Velocity macro-model estimation from seismic reflection data by stereo-tomography[J].Geophysical Journal Interna-tional,1998,135(2):671-690.
[15]Harris J M,Nolen-Hoeksema R C,Langan R T,et al.High-resolution crosswell imaging of a west Texas carbonate reservoir:Part1—Project summary and interpretation[J].Geophysics,1995,60(3):667-681.
[16]Xie X B,Yang H.The finite-frequency sensitivity kernel for migration residual moveout and its applications in migration velocity analysis[J].Geophysics,2008,73(6):S241-S249.
[17]Pratt R G.Seismic waveform inversion in the frequency domain,PartⅠ:Theory and verification in a physical scale model[J].Geo-physics,1999,64(3):888-901.
[18]Shin C,Cha Y H.Waveform inversion in the Laplace domain[J].Geophysical Journal International,2008,173(3):922-931.
[19]Ren H,Wu R S,Wang H.Wave equation least square imaging using the local angular Hessian for amplitude correction[J].Geophysical Prospecting,2011,59(4):651-661.
[20]Xu S,Wang D,Chen F,et al.Full waveform inversion for reflected seismic data[C].74th EAGE Conference&Exhibition,2012:W024.
[21]Virieux J,Operto S.An overview of full waveform inversion in exploration geophysics[J].Geophysics,2009,74(6):WCC127-WCC152.
[22]任浩然.声介质地震波反演成像方法研究[D].上海:同济大学海洋与地球科学学院,2011.
[23]Bunks C,Saleck F M,Zaleski S,et al.Multiscale seismic waveform inversion[J].Geophysics,1995,60(5):1457-1473.
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