任意空间取向TI介质中速度随方位变化特征
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摘要
本文基于任意空间取向TI介质中坐标变换的方法,扩展研究了任意强弱、具有任意空间取向对称轴的TI介质中体波相速度和群速度的方位变化;通过模型数值计算,获得了相速度与群速度方位变化图案,并比较了二者偏差.研究发现,各向异性越强群速度与相速度的偏差越大;并且,TI对称轴的空间取向和测线方位影响速度方位变化.相对于TI对称轴,速度方位变化图案不变;但是,随着TI对称轴空间取向和测线方位的改变,其速度方位变化呈现一定的规律性.研究结果可以精确地预测任意空间取向TI介质中速度方位变化,有利于地震各向异性数据处理与解释.
Based on the method of coordinates transform for arbitrary spatial orientation TI media,we expanded to study the azimuth variations of body-wave phase-velocity and group-velocity for arbitrary spatial orientation TI media with arbitrary strength of anisotropy.Using simulating calculation,we obtained the patterns of phase-velocity and group-velocity,and analyzed the deviation between group-velocity and phase-velocity.This research illustrates that the stronger is anisotropy the larger is the deviation between group-velocity and phase-velocity.The spatial orientation of TI symmetry axis and surveying line azimuth has the effect on the azimuth variation of body-wave velocities.The patterns of body-wave group-velocity and phase-velocity are fixed relative to TI symmetry axis,and exhibit certain symmetry and repetition with azimuth variation.This result can be directly predicted the azimuth variation of body-wave velocities for arbitrary spatial orientation TI media.Hence,this research benefits the data processing and interpretation of seismic anisotropy.
Based on the method of coordinates transform for arbitrary spatial orientation TI media,we expanded to study the azimuth variations of body-wave phase-velocity and group-velocity for arbitrary spatial orientation TI media with arbitrary strength of anisotropy.Using simulating calculation,we obtained the patterns of phase-velocity and group-velocity,and analyzed the deviation between group-velocity and phase-velocity.This research illustrates that the stronger is anisotropy the larger is the deviation between group-velocity and phase-velocity.The spatial orientation of TI symmetry axis and surveying line azimuth has the effect on the azimuth variation of body-wave velocities.The patterns of body-wave group-velocity and phase-velocity are fixed relative to TI symmetry axis,and exhibit certain symmetry and repetition with azimuth variation.This result can be directly predicted the azimuth variation of body-wave velocities for arbitrary spatial orientation TI media.Hence,this research benefits the data processing and interpretation of seismic anisotropy.
引文
[1]姚陈,郝重涛,王迅.任意空间取向TI介质三类体波速度和偏振解析解[A].CPS/SEG 2004国际地球物理会议论文集[C].北京:2004,591~594.
[2]张秉铭,滕吉文,万志超.横向各向同性介质中地震波速度分析及其意义[J].地球物理学进展,1997,12(1):53-~59.
[3]王德利,何樵登,韩立国.裂隙型单斜介质中多方位地面三分量记录模拟.地球物理学报,2005,48(2):386~393.
[4]Al-Dajani A,Tsvankin I.Nonhyperbolic reflection moveout forhorizontal transverse isotropy[J].Geophysics,1998,63:1738~1753.
[5]Alkhalifah T,Tsvankin I.Velocity analysis for transversely i-sotropic media[J].Geophysics,1995,60:1550~1566.
[6]Alkhalifah T.Velocity analysis using nonhyperbolic moveout intransversely isotropic media[J].Geophysics,1997,62:1839?1853.
[7]Banik.Velocity anisotropy of shales and depth estimation in theNorth Sea basin[J].Geophysics,1984,49(9):1411~1419.
[8]Byun B S,Corrigan D.Seismic traveltime inversion for trans-verse isotropy[J].Geophysics,1990,55:192~200.
[9]Grechka V,Tsvankin I.Feasibility of nonhyperbolic moveoutinversion in transversely isotropic media[J].Geophysics,1998,63:957~969.
[10]卢明辉,唐建侯,胡彬.等.VTI介质P波非双曲时差分析[J].地球物理学进展,2005,20(2):328~331.
[11]Grechka V,Tsvankin I.3-D moveout inversion in azimuthallyanisotropic media with lateral velocity variation:Theory and acase study[J].Geophysics,1999,64:1202~1218.
[12]Grechka V,Tsvankin I.Inversion of azimuthally dependentNMO velocity in transversely isotropic media with a tilted axisof symmetry[J].Geophysics,2000,65:232~246.
[13]Grechka V,Tsvankin I.NMO-velocity surfaces and Dix-typeformulas in heterogeneous anisotropic media[J].Geophysics,2002,67:939~951.
[14]Rasolofosaon P N J Explicit analytic expression for normalmoveout from horizontal and dipping reflectors in weakly ani-sotropic media of arbitrary symmetry type[J].Geophysics,2000,65:1294~1304.
[15]Thomsen L.Weak elastic anisotropy[J].Geophysics,1986,51:1954~1966.
[16]Tsvankin I.and Thornsen,L.Nonhyperbolic reflectionmoveout in anisotropic media[J].Geophysics,1994,59:1290~1304.
[17]Tsvankin I.Normal moveout from dipping reflectors in aniso-tropic media[J].Geophysics,1995,60:268~284.
[18]Winterstein D F,Paulsson B N P.Velocity anisotropy in shaledetermined from crosshole seismic and vertical seismic profiledata[J].Geophysics,1990,55:470~479.
[19]Yao C,Hao C T,Wang X.An Analytic Solution of ThreeBody-wave Velocity and Polarization for Arbitrary Spatial Ori-entation TI[A].CPS/SEG 2004 International GeophysicalConference,Beijing,China,2004,879~882.
[20]Yan L,Lines L R.Seismic imaging and velocity analysis foran Alberta Foothills seismic survey[J].Geophysics,2001,66:721~732.
[21]Wang Z J.Seismic anisotropy in sedimentary rocks,part 2:Laboratory data[J].Geophysics,2002,67(5):1423~1440.
[22]张永刚,王赟,王妙月.目前多分量地震勘探中的几个关键问题[J].地球物理学报,2004,47(1):151~155.
[2]张秉铭,滕吉文,万志超.横向各向同性介质中地震波速度分析及其意义[J].地球物理学进展,1997,12(1):53-~59.
[3]王德利,何樵登,韩立国.裂隙型单斜介质中多方位地面三分量记录模拟.地球物理学报,2005,48(2):386~393.
[4]Al-Dajani A,Tsvankin I.Nonhyperbolic reflection moveout forhorizontal transverse isotropy[J].Geophysics,1998,63:1738~1753.
[5]Alkhalifah T,Tsvankin I.Velocity analysis for transversely i-sotropic media[J].Geophysics,1995,60:1550~1566.
[6]Alkhalifah T.Velocity analysis using nonhyperbolic moveout intransversely isotropic media[J].Geophysics,1997,62:1839?1853.
[7]Banik.Velocity anisotropy of shales and depth estimation in theNorth Sea basin[J].Geophysics,1984,49(9):1411~1419.
[8]Byun B S,Corrigan D.Seismic traveltime inversion for trans-verse isotropy[J].Geophysics,1990,55:192~200.
[9]Grechka V,Tsvankin I.Feasibility of nonhyperbolic moveoutinversion in transversely isotropic media[J].Geophysics,1998,63:957~969.
[10]卢明辉,唐建侯,胡彬.等.VTI介质P波非双曲时差分析[J].地球物理学进展,2005,20(2):328~331.
[11]Grechka V,Tsvankin I.3-D moveout inversion in azimuthallyanisotropic media with lateral velocity variation:Theory and acase study[J].Geophysics,1999,64:1202~1218.
[12]Grechka V,Tsvankin I.Inversion of azimuthally dependentNMO velocity in transversely isotropic media with a tilted axisof symmetry[J].Geophysics,2000,65:232~246.
[13]Grechka V,Tsvankin I.NMO-velocity surfaces and Dix-typeformulas in heterogeneous anisotropic media[J].Geophysics,2002,67:939~951.
[14]Rasolofosaon P N J Explicit analytic expression for normalmoveout from horizontal and dipping reflectors in weakly ani-sotropic media of arbitrary symmetry type[J].Geophysics,2000,65:1294~1304.
[15]Thomsen L.Weak elastic anisotropy[J].Geophysics,1986,51:1954~1966.
[16]Tsvankin I.and Thornsen,L.Nonhyperbolic reflectionmoveout in anisotropic media[J].Geophysics,1994,59:1290~1304.
[17]Tsvankin I.Normal moveout from dipping reflectors in aniso-tropic media[J].Geophysics,1995,60:268~284.
[18]Winterstein D F,Paulsson B N P.Velocity anisotropy in shaledetermined from crosshole seismic and vertical seismic profiledata[J].Geophysics,1990,55:470~479.
[19]Yao C,Hao C T,Wang X.An Analytic Solution of ThreeBody-wave Velocity and Polarization for Arbitrary Spatial Ori-entation TI[A].CPS/SEG 2004 International GeophysicalConference,Beijing,China,2004,879~882.
[20]Yan L,Lines L R.Seismic imaging and velocity analysis foran Alberta Foothills seismic survey[J].Geophysics,2001,66:721~732.
[21]Wang Z J.Seismic anisotropy in sedimentary rocks,part 2:Laboratory data[J].Geophysics,2002,67(5):1423~1440.
[22]张永刚,王赟,王妙月.目前多分量地震勘探中的几个关键问题[J].地球物理学报,2004,47(1):151~155.
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