变井源距垂直地震剖面各向异性参数反演
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摘要
利用微扰理论推导了弱各向异性(WA)介质参数正反演计算的基本公式;给出了在已知慢度矢量的一个分量和偏振矢量情况下确定WA参数的方法.如果这一方法被用于单一的变井源距垂直地震剖面(walkawayVSP)资料,可以获得9个WA参数.这9个WA参数完全决定了qP波和两个qS波在由剖面和钻井所决定的平面内传播的特性.对单条walkawayVSP观测系统数据的产生和WA参数的反演进行了数值模拟计算,对所能确定的WA参数及其可靠性进行了详细的讨论.
Forward and inversion formulae are derived for the weakly anisotropic(WA) media by using the perturbation theory.We present a method to determine the WA parameters when the polarization vector and one component of slowness vector are known.If this method is applied to a single walkaway VSP data,9 WA parameters can be obtained.The WA parameters completely determine the property of qP wave and two qS waves propagating in a plane composed of the profile and drill well.A walkaway VSP model test was carried out to generate polarization vector and a component of slowness vector as "observed data".The data set are inverted for the 9 WA parameters to test the accuracy and reliability of the presented formulae.
Forward and inversion formulae are derived for the weakly anisotropic(WA) media by using the perturbation theory.We present a method to determine the WA parameters when the polarization vector and one component of slowness vector are known.If this method is applied to a single walkaway VSP data,9 WA parameters can be obtained.The WA parameters completely determine the property of qP wave and two qS waves propagating in a plane composed of the profile and drill well.A walkaway VSP model test was carried out to generate polarization vector and a component of slowness vector as "observed data".The data set are inverted for the 9 WA parameters to test the accuracy and reliability of the presented formulae.
引文
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Chen J,Zhang Z,Liu E.2006.Anisotropicinversion of traveltimes and polarization of wide-angle seismic data using sim-ulated annealing media[J].Journal of Seismic Exploration,15:101-118.
de Gopa S,Winterstein D F,Meadows M A.1994.Comparison of P-and S-wave velocities and Q’s from VSP and soniclog data[J].Geophysics,59:1512-1529.
Farra V.2001.High order perturbations of the phase velocity and polarization of qP and qS waves in anisotropic media[J].Geophys J Int,147:93-104.
Gajewski D,P eník I.1990.Vertical seismic profile synthetics by dynamic ray tracinginlaterally varyinglayered aniso-tropic structures[J].J Geophys Res,95:11301-11315.
Gomes E,Zheng X,P eníkI,Horne S,Leaney S.2004.Local determination of weak anisotropy parameters from walk-away VSP qP-wave data in the Java sea region[J].Stud Geophys Geod,48:215-231.
Horne S A,Leaney WS.2000.Polarization and slowness component inversionfor TI anisotropy[J].Geophysical Pros-pecting,48:779-788.
Jech J,P encík I.1989.First-order perturbation method for anisotropic media[J].Geophys J Int,99:369-376.
Majer E L,McEvilly T V,Eastwood F S,Myer L R.1988.Fracture detection using P wave and S wave vertical seismicprofiling at the Geysers media[J].Geophysics,53:76-84.
P eník I,Gajewski D.1998.Polarization,phase velocity and NMOvelocity of qP waves in arbitrary weakly anisotropicmedia[J].Geophysics,69:1754-1766.
Queen J H,Rizer WD.1990.Anintegrated study of seismic anisotropy and the natural fracture systemat the Conocoborehole test facility,Kay County,Oklahoma media[J].J Geophys Res,95:11255-11274.
Thomsen L.1986.Weak elastic anisotropy[J].Geophysics,51:1954-1966.
Winterstein D F,Medows MA.1991.Changesin shear wave polarization azimuth with depthin Cymric and Railroad Gapoilfield media[J].Geophysics,56:1349-1364.
Winterstein D F,Paulsson B N P.1990.Velocity anisotropyin shale determined fromcrosshole seismic VSP data media[J].Geophysics,55:470-479.
Zhang Z,Lin G,Chen J,Harris J M,Han L.2003.Inversion for elliptically anisotropic velocity using VSP reflectiontraveltimes media[J].Geophysical Prospecting,51:159-166.
Zheng X,P encˇíkI.2002.Local determination of weak anisotropy parameters fromqP-wave slowness and particle motionmeasurements[J].Pure Appli Geophys,159:1881-1905.
Zheng X.2003.Determination of Weak Anisotropy Parameters fromqP Wave Slowness and Polarization Vectors[D].Prague:Charles University Prague:34-62.
Zheng X.2004.Inversion for elastic parameters in weakly anisotropic media[J].Geophys J Int,159:1077-1089.
Zheng X.2007.Identification of symmetry planesin weakly anisotropic elastic media[J].Geophys J Int,170:468-478.
Chen J,Zhang Z,Liu E.2006.Anisotropicinversion of traveltimes and polarization of wide-angle seismic data using sim-ulated annealing media[J].Journal of Seismic Exploration,15:101-118.
de Gopa S,Winterstein D F,Meadows M A.1994.Comparison of P-and S-wave velocities and Q’s from VSP and soniclog data[J].Geophysics,59:1512-1529.
Farra V.2001.High order perturbations of the phase velocity and polarization of qP and qS waves in anisotropic media[J].Geophys J Int,147:93-104.
Gajewski D,P eník I.1990.Vertical seismic profile synthetics by dynamic ray tracinginlaterally varyinglayered aniso-tropic structures[J].J Geophys Res,95:11301-11315.
Gomes E,Zheng X,P eníkI,Horne S,Leaney S.2004.Local determination of weak anisotropy parameters from walk-away VSP qP-wave data in the Java sea region[J].Stud Geophys Geod,48:215-231.
Horne S A,Leaney WS.2000.Polarization and slowness component inversionfor TI anisotropy[J].Geophysical Pros-pecting,48:779-788.
Jech J,P encík I.1989.First-order perturbation method for anisotropic media[J].Geophys J Int,99:369-376.
Majer E L,McEvilly T V,Eastwood F S,Myer L R.1988.Fracture detection using P wave and S wave vertical seismicprofiling at the Geysers media[J].Geophysics,53:76-84.
P eník I,Gajewski D.1998.Polarization,phase velocity and NMOvelocity of qP waves in arbitrary weakly anisotropicmedia[J].Geophysics,69:1754-1766.
Queen J H,Rizer WD.1990.Anintegrated study of seismic anisotropy and the natural fracture systemat the Conocoborehole test facility,Kay County,Oklahoma media[J].J Geophys Res,95:11255-11274.
Thomsen L.1986.Weak elastic anisotropy[J].Geophysics,51:1954-1966.
Winterstein D F,Medows MA.1991.Changesin shear wave polarization azimuth with depthin Cymric and Railroad Gapoilfield media[J].Geophysics,56:1349-1364.
Winterstein D F,Paulsson B N P.1990.Velocity anisotropyin shale determined fromcrosshole seismic VSP data media[J].Geophysics,55:470-479.
Zhang Z,Lin G,Chen J,Harris J M,Han L.2003.Inversion for elliptically anisotropic velocity using VSP reflectiontraveltimes media[J].Geophysical Prospecting,51:159-166.
Zheng X,P encˇíkI.2002.Local determination of weak anisotropy parameters fromqP-wave slowness and particle motionmeasurements[J].Pure Appli Geophys,159:1881-1905.
Zheng X.2003.Determination of Weak Anisotropy Parameters fromqP Wave Slowness and Polarization Vectors[D].Prague:Charles University Prague:34-62.
Zheng X.2004.Inversion for elastic parameters in weakly anisotropic media[J].Geophys J Int,159:1077-1089.
Zheng X.2007.Identification of symmetry planesin weakly anisotropic elastic media[J].Geophys J Int,170:468-478.
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