黏性介质叠前时间偏移方法
|
摘要
根据衡Q模型,将吸收系数引入黏性介质的相速度中,以相移法为基础,利用稳相点原理,推导基于叠加速度和等效Q值的黏性介质叠前时间偏移的走时和振幅计算公式,研究适合于黏性介质的叠前时间偏移方法.理论数据处理结果表明,该方法具有精确的复杂构造成像能力,能够将黏性补偿结合到偏移过程中,有效恢复深层界面的高频信息;在准确构造成像的同时,提高地震成像的分辨率.
A wave equation based prestack time migration scheme in anelastic media is proposed.Frequency independent Q law and complex phase velocity are used to describe the absorption of seismic energy.Methods for wavefield extrapolation and prestack time migration in complex anelastic media are developed based on phase shift method and stationary point theorem.The synthetic dataset are used to demonstrate that the prestack time migration in dissipation media not only can improve the ability of imaging complicated structure when the velocities mildly vary.The migration section of a 2D dataset proved that incorporation compensation for absorption and dispersion into time migration can effective resume the high frequency information of deep reflection.The spatial wavelet was compressed;the band of frequency was extended;the amplitude of record was increased;the revolution of seismic profile was enhanced.
A wave equation based prestack time migration scheme in anelastic media is proposed.Frequency independent Q law and complex phase velocity are used to describe the absorption of seismic energy.Methods for wavefield extrapolation and prestack time migration in complex anelastic media are developed based on phase shift method and stationary point theorem.The synthetic dataset are used to demonstrate that the prestack time migration in dissipation media not only can improve the ability of imaging complicated structure when the velocities mildly vary.The migration section of a 2D dataset proved that incorporation compensation for absorption and dispersion into time migration can effective resume the high frequency information of deep reflection.The spatial wavelet was compressed;the band of frequency was extended;the amplitude of record was increased;the revolution of seismic profile was enhanced.
引文
[1]Hargreaves N D,Calvert A J.Inverse Q filtering by Fourier transform[J].Geophysics,1991,56(1):519-527.
[2]Hargreaves N D.Similarity and the inverse Q filter:some simple algorithms for inverse Q filtering[J].Geophysics,1992,57(2):944-947.
[3]Wang Y H.A stable and efficient approach of inverse Q filtering[J].Geophysics,2002,67(2):657-663.
[4]Wang Y H.Quantifying the effectiveness of stabilized inverse Q filtering[J].Geophysics,2003,68(1):337-345.
[5]Wang Y H.Inverse Q-filter for seismic resolution enhancement[J].Geophysics,2006,71(3):V51-V60.
[6]Mittet R,Sollie R,Hokstad K.Prestack depth migration with compensation for absorption and dispersion[J].Geophysics,1995,60(5):1485-1494.
[7]Mittet R.A simple design procedure for depth extrapolation operators that compensate for absorption and dispersion[J].Geophysics,2007,72(2):S105-S102.
[8]Causse E,Ursin B.Asymptotic error analysis of constant-velocity viscoacoustic migration[J].Geophysics,1999,64(4):1036-1045.
[9]Causse E,Ursin B.Viscoacoustic reverse-time migration[J].Journal of Seismic Exploration,2000,9(1):165-184.
[10]Emmerich H,Korm M.Incorporation of attenuation into time-domain computations of seismic wavefields[J].Geophysics,1987,52(9):1252-1264.
[11]Carcione J M,Kosloff D,kosloff R.Wave propagation simulation in a linear viscoelastic medium[J].Geophysics Journal Interna-tional,1999,95(3):597-611.
[12]Stekl I,Pratt R G.Accurate viscoelastic modeling by frequency-domain finite differences using rotated operators[J].Geophysics,1998,63(5):1779-1794.
[13]Keers H,Vasco D W,Johnson L R.Viscoacoustic cross-well imaging using asymptotic waveforms[J].Geophysics,2001,66(3):861-870.
[14]Zhang J F,Wapenaar K.Wavefield extrapolation and prestack depth migration in anelastic inhomogeneous media[J].Geophysicalprospecting,2002,50(6):629-643.
[15]Gazdag J.Wave equation migration with the phase-shift method[J].Geophysics,1978,43(7):1342-1351.
[16]Bleistein N,Cohen J K,Stockwell J W.Mathematics of multidimensional seismic inversion[M].Berlin:Springer,2001.
[17]Zhang J F,Wapenaar C P A.High-resolution depth imaging with sparseness-constrained inversion[J].Geophysical Prospecting,2006,54(1):49-62.
[18]Zhang Jianfeng,Liu Linong.Optimum split-step Fourier 3Ddepth migration:Developments and practical aspects[J].Geophysics,2007,72(3):S167-S175.
[19]Claerbout J F.Imaging the earth's interior[M].Oxford:Blackwell Scientific Publications,1985.
[20]董春晖,张剑锋.起伏地表下的直接叠前时间偏移[J].地球物理学报,2009,52(1):239-244.Dong Chunhui,Zhang Jianfeng.Prestack time migration including surface topography[J].Chinese Journal of Geophysics,2009,52(1):239-244.
[2]Hargreaves N D.Similarity and the inverse Q filter:some simple algorithms for inverse Q filtering[J].Geophysics,1992,57(2):944-947.
[3]Wang Y H.A stable and efficient approach of inverse Q filtering[J].Geophysics,2002,67(2):657-663.
[4]Wang Y H.Quantifying the effectiveness of stabilized inverse Q filtering[J].Geophysics,2003,68(1):337-345.
[5]Wang Y H.Inverse Q-filter for seismic resolution enhancement[J].Geophysics,2006,71(3):V51-V60.
[6]Mittet R,Sollie R,Hokstad K.Prestack depth migration with compensation for absorption and dispersion[J].Geophysics,1995,60(5):1485-1494.
[7]Mittet R.A simple design procedure for depth extrapolation operators that compensate for absorption and dispersion[J].Geophysics,2007,72(2):S105-S102.
[8]Causse E,Ursin B.Asymptotic error analysis of constant-velocity viscoacoustic migration[J].Geophysics,1999,64(4):1036-1045.
[9]Causse E,Ursin B.Viscoacoustic reverse-time migration[J].Journal of Seismic Exploration,2000,9(1):165-184.
[10]Emmerich H,Korm M.Incorporation of attenuation into time-domain computations of seismic wavefields[J].Geophysics,1987,52(9):1252-1264.
[11]Carcione J M,Kosloff D,kosloff R.Wave propagation simulation in a linear viscoelastic medium[J].Geophysics Journal Interna-tional,1999,95(3):597-611.
[12]Stekl I,Pratt R G.Accurate viscoelastic modeling by frequency-domain finite differences using rotated operators[J].Geophysics,1998,63(5):1779-1794.
[13]Keers H,Vasco D W,Johnson L R.Viscoacoustic cross-well imaging using asymptotic waveforms[J].Geophysics,2001,66(3):861-870.
[14]Zhang J F,Wapenaar K.Wavefield extrapolation and prestack depth migration in anelastic inhomogeneous media[J].Geophysicalprospecting,2002,50(6):629-643.
[15]Gazdag J.Wave equation migration with the phase-shift method[J].Geophysics,1978,43(7):1342-1351.
[16]Bleistein N,Cohen J K,Stockwell J W.Mathematics of multidimensional seismic inversion[M].Berlin:Springer,2001.
[17]Zhang J F,Wapenaar C P A.High-resolution depth imaging with sparseness-constrained inversion[J].Geophysical Prospecting,2006,54(1):49-62.
[18]Zhang Jianfeng,Liu Linong.Optimum split-step Fourier 3Ddepth migration:Developments and practical aspects[J].Geophysics,2007,72(3):S167-S175.
[19]Claerbout J F.Imaging the earth's interior[M].Oxford:Blackwell Scientific Publications,1985.
[20]董春晖,张剑锋.起伏地表下的直接叠前时间偏移[J].地球物理学报,2009,52(1):239-244.Dong Chunhui,Zhang Jianfeng.Prestack time migration including surface topography[J].Chinese Journal of Geophysics,2009,52(1):239-244.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心