基于Born/Rytov近似的波动方程层析速度反演方法研究(英文)
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摘要
本文研究了第一菲涅尔带约束下的波动方程Born/Rytov近似层析反演方法,其中如何求取敏感核函数和旅行时残差是关键技术。以频率域波动方程Born和Rytov近似为基础,推导出建立在带限地震波理论基础上的波动方程Born/Rytov近似走时敏感核函数,同时依据Rytov近似求取走时残差。与常规单射线走时层析方法不同,改进的速度反演方法提高了反演的稳定性。模型试算与实际资料处理结果表明,相对于传统的单射线走时层析和波形反演方法,该方法具有更高的反演精度与计算效率。
This paper discusses Born/Rytov approximation tomographic velocity inversion methods constrained by the Fresnel zone. Calculations of the sensitivity kernel function and traveltime residuals are critical in tomographic velocity inversion. Based on the Born/Rytov approximation of the frequency-domain wave equation, we derive the traveltime sensitivity kernels of the wave equation on the band-limited wave field and simultaneously obtain the traveltime residuals based on the Rytov approximation. In contrast to single-ray tomography, the modified velocity inversion method improves the inversion stability. Tests of the nearsurface velocity model and field data prove that the proposed method has higher accuracy and Computational efficiency than ray theory tomography and full waveform inversion methods.
This paper discusses Born/Rytov approximation tomographic velocity inversion methods constrained by the Fresnel zone. Calculations of the sensitivity kernel function and traveltime residuals are critical in tomographic velocity inversion. Based on the Born/Rytov approximation of the frequency-domain wave equation, we derive the traveltime sensitivity kernels of the wave equation on the band-limited wave field and simultaneously obtain the traveltime residuals based on the Rytov approximation. In contrast to single-ray tomography, the modified velocity inversion method improves the inversion stability. Tests of the nearsurface velocity model and field data prove that the proposed method has higher accuracy and Computational efficiency than ray theory tomography and full waveform inversion methods.
引文
Al-Yahya,K.,1989,Velocity analysis by interactive profile migration,Geophysics,54(6),718–729.
Bois,P.,Porte,M.La.,and Lavergne,M.,1972,Well-to-well seismic measurements:Geophysics,37(3),471–480.
Dahlen,F.A.,Hung,S.H.,and Nolet,G.,2000,Fréchet kernels for finite-frequency travel times-I Theory,Geophysical Journal International,141,157–174.
Faye,J.P.,Jeanot,J.P.,and Denelle,E.,1986,Prestack migration velocities from depth focusing analysis:Expanded Abstracts of the 56th Annual Internat.SEG Meeting,438–440.
Garotta,R.,and Miehon,D.,1967,Continuous analysis of the velocity function and of the normal-moveout corrections:Geophysical Prospecting,15(4),584–597.
Hao,H.,Zhang,J.,Yang,J.,Liu,Y.,and Dong,L.,2011,Reflection Fresnel Volume tomography and its application:International Geophysical Conference,Shenzhen,China,November 7–10,16–16.
Jin,S.,and Beydoun,W.,2000,2D multiscale non-linear velocity estimation,Geophysical Prospecting,48(1),163–180.
Li,Z.C.,Yao,Y.X,Ma,Z.T.,and Wang,H.Z.,2003,Velocity analysis and modeling on wave-equation CIGs:The Journal of China Geophysics,46,86–93.
Liu,Y.Z.,Dong,L.G.,and Wang,Y.W.,2009,Sensitivity kernels for seismic Fresnel volume tomography:Geophysics,74(5),U35–U46.
Luo,Y.,and Schuster,G.T.,1990,Wave equation traveltime inversion,Expanded Abstracts of the 60th Annual Internat SEG Meeting,1207–1210.
Liu,Y.Z.,and Dong,L.G.,2007,Analysis of influence factors of first-breaks tomography:Oil Geophysical Prospecting(in Chinese),42(5),544–553.
Marquering,H.,Nolet,G.,and Dahlen,F.A.,1998,Threedimensional waveform sensitivity kernels,Geophysical Journal International,132,521–534.
Ni,Y.,and Yang,K.,2012,Slope tomography assisted by finite-frequency sensitivity kernel:SEG Technical Program Expanded Abstracts:1–5.
Sava,P.,and,Fomel,S.,2003,Angle-domain common imaging gathers by wavefield continuation methods:Geophysics,68(3),1065–1074.
Spetzler,G.,and Snieder,R.,2004,The Fresnel volume and transmitted waves:Geophysics,69,653–663.
Spetzler,G.,and Snieder,R.,2001,The effect of smallscale heterogeneity on the arrival time of waves:Geophysical Journal International,145,786–796.
Snieder,R.,and Lomax,A.,1996,Wavefield smoothing and the effect of rough velocity perturbations on arrival times and amplitudes:Geophysical Journal International,125 ,796–812.
Spetzler,J.,ija i,D.,and Wolf,K.,2007,Application of a linear finite-frequency theory to time-lapse crosswell tomography in ultrasonic and numerical experiments,Geophysics,72(6),O19–O27.
Stork,C.,1992,Reflection tomography in the postmigrated domain:Geophysics,57(5),680–692.
Xie,X.,and Yang,H.,2008,The finite-frequencysensitivity kernel for migration residual moveout and itsapplications in migration velocity analysis,Geophysics,73 (6),S241–S249.
Zhang,K.,Li,Z.C.,and Zeng,T.S.,2010,The residual curvature migration velocity analysis on angle domain common imaging gathers:Applied Geophysics,7(1),49–56.
Zhang,K.,Li,Z.C.,and Zeng,T.S.,2012,Tomographic velocity inversion for ADCIGs in areas with a rugged surface:Applied Geophysics,9(3),313–318.
Zhang,Z.G.,Shen,Y.,and Zhao,L.,2007,Finite-frequency sensitivity kernels for head waves:Geophysical Journal International,171,847–856.
Bois,P.,Porte,M.La.,and Lavergne,M.,1972,Well-to-well seismic measurements:Geophysics,37(3),471–480.
Dahlen,F.A.,Hung,S.H.,and Nolet,G.,2000,Fréchet kernels for finite-frequency travel times-I Theory,Geophysical Journal International,141,157–174.
Faye,J.P.,Jeanot,J.P.,and Denelle,E.,1986,Prestack migration velocities from depth focusing analysis:Expanded Abstracts of the 56th Annual Internat.SEG Meeting,438–440.
Garotta,R.,and Miehon,D.,1967,Continuous analysis of the velocity function and of the normal-moveout corrections:Geophysical Prospecting,15(4),584–597.
Hao,H.,Zhang,J.,Yang,J.,Liu,Y.,and Dong,L.,2011,Reflection Fresnel Volume tomography and its application:International Geophysical Conference,Shenzhen,China,November 7–10,16–16.
Jin,S.,and Beydoun,W.,2000,2D multiscale non-linear velocity estimation,Geophysical Prospecting,48(1),163–180.
Li,Z.C.,Yao,Y.X,Ma,Z.T.,and Wang,H.Z.,2003,Velocity analysis and modeling on wave-equation CIGs:The Journal of China Geophysics,46,86–93.
Liu,Y.Z.,Dong,L.G.,and Wang,Y.W.,2009,Sensitivity kernels for seismic Fresnel volume tomography:Geophysics,74(5),U35–U46.
Luo,Y.,and Schuster,G.T.,1990,Wave equation traveltime inversion,Expanded Abstracts of the 60th Annual Internat SEG Meeting,1207–1210.
Liu,Y.Z.,and Dong,L.G.,2007,Analysis of influence factors of first-breaks tomography:Oil Geophysical Prospecting(in Chinese),42(5),544–553.
Marquering,H.,Nolet,G.,and Dahlen,F.A.,1998,Threedimensional waveform sensitivity kernels,Geophysical Journal International,132,521–534.
Ni,Y.,and Yang,K.,2012,Slope tomography assisted by finite-frequency sensitivity kernel:SEG Technical Program Expanded Abstracts:1–5.
Sava,P.,and,Fomel,S.,2003,Angle-domain common imaging gathers by wavefield continuation methods:Geophysics,68(3),1065–1074.
Spetzler,G.,and Snieder,R.,2004,The Fresnel volume and transmitted waves:Geophysics,69,653–663.
Spetzler,G.,and Snieder,R.,2001,The effect of smallscale heterogeneity on the arrival time of waves:Geophysical Journal International,145,786–796.
Snieder,R.,and Lomax,A.,1996,Wavefield smoothing and the effect of rough velocity perturbations on arrival times and amplitudes:Geophysical Journal International,125 ,796–812.
Spetzler,J.,ija i,D.,and Wolf,K.,2007,Application of a linear finite-frequency theory to time-lapse crosswell tomography in ultrasonic and numerical experiments,Geophysics,72(6),O19–O27.
Stork,C.,1992,Reflection tomography in the postmigrated domain:Geophysics,57(5),680–692.
Xie,X.,and Yang,H.,2008,The finite-frequencysensitivity kernel for migration residual moveout and itsapplications in migration velocity analysis,Geophysics,73 (6),S241–S249.
Zhang,K.,Li,Z.C.,and Zeng,T.S.,2010,The residual curvature migration velocity analysis on angle domain common imaging gathers:Applied Geophysics,7(1),49–56.
Zhang,K.,Li,Z.C.,and Zeng,T.S.,2012,Tomographic velocity inversion for ADCIGs in areas with a rugged surface:Applied Geophysics,9(3),313–318.
Zhang,Z.G.,Shen,Y.,and Zhao,L.,2007,Finite-frequency sensitivity kernels for head waves:Geophysical Journal International,171,847–856.
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