Goos-Hnchen效应对自由表面全反射SV波校正时差的影响
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摘要
利用SV地震波(偏振化方向在入射面内的横波)在自由表面反射系数的附加相角导出了SV波Goos-Hnchen效应所引起的横向偏移和横向偏移渡越时间,给出了Goos-Hnchen效应正常时差动校正量,讨论了Goos-Hnchen效应对反射SV波正常时差的影响,绘出了横向偏移、Goos-Hnchen效应正常时差及Goos-Hnchen效应正常时差校正量曲线.曲线表明:反射地震波存在负横向偏移效应,在大多数入射角度范围,横向偏移(横向偏移渡越时间)与波长(周期)为同一个数量级.对掠入射波或入射角在临界角附近的入射波,Goos-Hnchen效应对正常时差有较大的测量误差,对反射P、SV波的传播走时产生了不可忽略的影响,因此在实际的地震资料处理中应进行横向偏移效应误差校正.
Using the phase shift of reflection coefficient of SV seismic wave at the free surface of stratum,we derived the lateral shift and group time delay of total reflected SV seismic wave,gave the formulae of normal moveout of Goos-Hnchen effect,discussed the influence of Goos-Hnchen effect on normal moveout of SV-wave,and drew the curves of lateral shift,normal moveout of Goos-Hnchen effect and error of normal moveout caused by Goos-Hnchen effect with respect to the angle of incidence.The results show that reflected wave has negative Goos-Hnchen shift;for glancing wave or near-critical incidence angle,a large error can be caused by Goos-Hnchen effect.In other angle of incidence the lateral shift is the same order of magnitude as the wavelength.So Goos-Hnchen effect can bring about large influence on the travel time of P-wave and SV-wave.The error correction of Goos-Hnchen effect should be made before seismic data processing.
Using the phase shift of reflection coefficient of SV seismic wave at the free surface of stratum,we derived the lateral shift and group time delay of total reflected SV seismic wave,gave the formulae of normal moveout of Goos-Hnchen effect,discussed the influence of Goos-Hnchen effect on normal moveout of SV-wave,and drew the curves of lateral shift,normal moveout of Goos-Hnchen effect and error of normal moveout caused by Goos-Hnchen effect with respect to the angle of incidence.The results show that reflected wave has negative Goos-Hnchen shift;for glancing wave or near-critical incidence angle,a large error can be caused by Goos-Hnchen effect.In other angle of incidence the lateral shift is the same order of magnitude as the wavelength.So Goos-Hnchen effect can bring about large influence on the travel time of P-wave and SV-wave.The error correction of Goos-Hnchen effect should be made before seismic data processing.
引文
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[14]吴庆举,李永华,张瑞青等.接受函数的可希霍夫2D偏移方法.地球物理学报,2007,50(2):540～545Wu QJ,Li Y H,Zhang R Q,et al.2D Kirchhoff migration for receiver function.Chinese J.Geophys.(in Chinese),2006,49(2):540～545
[15]刘礼农,崔凤林,张剑锋.三维复杂构造中地震波模拟的单程波方法.地球物理学报,2004,47(3):514～520Liu L N,Cui F L,Zhang J F.Seismic modeling with one-way wave equation in3D complex structures.Chinese J.Geophys.(in Chinese),2004,47(3):514～520
[16]Zhang J F,Wapenaar K.Wave field extrapolation and pre-stack depth migration in an elastic inhomogeneous media.Geophysical Prospecting,2002,50(3):629～643
[17]马在田.P-SV反射波的倾角时差校正(DMO)方法研究.地球物理学报,1996,39(2):243～250Ma Z T.DMO for P-SV converted reflection.Chinese J.Geophys.(in Chinese),1996,39(2):243～250
[18]李景叶,陈小宏,郝振江等.多波时移地震AVO反演研究.地球物理学报,2005,48(4):902～908Li J Y,Chen X H,Hao ZJ,et al.Astudy on multiple time-lapse seismic AVO inversion.Chinese J.Geophys.(in Chinese),2005,48(4):902～908
[19]胡中平,管路平,顾连兴等.高速屏蔽层下广角地震波场分析及成像方法.地球物理学报,2004,47(1):88～94Hu Z P,Guan L P,Gu L X,et al.Wide angle seismic wave field analysis and imaging method below the high velocity shield layers.Chinese J.Geophys.(in Chinese),2004,47(1):88～94
[20]李怀胜.广角反射在塔中地区的应用.石油物探,2005,44(3):292～295Li H S.The application of wide-angle reflection method in central Tarim basin.Geophysical Prospecting for Petroleum.(in Chinese),2005,44(3):292～295
[21]Shou H,Liu H,Gao J H.AVOinversion based on common shot migration.Applied Geophysics,2006,3(2):99～104
[2]Lai H M,Chan S W.Large and negative Goos-Hanchen shift near the Brewster dip on reflection from weakly absorbing media.Optics Letters,2002,27:680～682
[3]Lakhtakia A.On plane wave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability.Electromagnetics,2003,23(1):71～75
[4]Resch K J,Lundeen J S,Steinberg A M.Total reflection cannot occur with a negative delay time.IEEE Journal of Quantum Electronics,2001,37(6):794～799
[5]Ziolkowski R W.Pulsed and CWGaussian beaminteractions with double negative metamaterial.The International Electronic Journal of Optics,2003,11:662～681
[6]Lin Y Z,Zhan J H,Tseng S M.A new method of analyzing the light transmission in leaky and absorbing planar wave guides.IEEE Photonics Technology Letters,1997,9(9):1241～1243
[7]Chauvat D,Emile O,Bretenaker F,Le Floch A.Direct measurement of the Wigner delay associated with the Goos-Hanchen effect.Physical Review Letters,2000,80:71～74
[8]Ignatovich V K.Neutron fromcondensed matter,the Goos-Hanchen effect and coherence.Physical LettersA,2004,322(1):36～46
[9]刘福平,张红梅,杨长春等.电场垂直入射面的非均匀电磁波在导电媒质界面的类全反射横向偏移.地球物理学报,2005,48(4):924～931Liu F P,Zhang H M,Yang C C,et al.The lateral shift of quasi total reflection of inhomogeneous electromagnetic wave when the electric field is perpendicular to the incident plane.Chinese J.Geophys.(in Chinese),2005,48(4):924～931
[10]刘福平,李瑞忠,杨长春等.非均匀P-偏振电磁波在导电界面的类全反射横向偏移.地球物理学报,2007,50(2):556～566Liu F P,Li R Z,Yang C C,et al.The lateral shift of quasi total reflection of inhomogeneous P-electromagnetic wave on the interface of conductive media.Chinese J.Geophys(in Chinese),2007,50(2):556～566
[11]陆基孟.地震勘探原理(上,下).山东东营:石油大学出版社,1993.上:20～30,下:123～194Lu J M.Seismic Exploration Principle(the First and SecondVolumes)(in Chinese).Shandong Dongying:Petroleum of University Press,1993.the First Volume:20～30,the Second Volume:123～194
[12]杜世通.地震波动力学.山东东营:石油大学出版社,1996.136～182Du S T.Seismic Wave Mechanics(in Chinese).Shandong Dongying:Petroleumof University Press,1996.136～182
[13]杨锴,马在田.输出道成像方式的共反射面元叠加方法Ⅱ—理论.地球物理学报,2006,49(2):546～553Yang K,Ma Z T.Common reflection surface stack by an output imaging scheme.Chinese J.Geophys.(in Chinese),2006,49(2):546～553
[14]吴庆举,李永华,张瑞青等.接受函数的可希霍夫2D偏移方法.地球物理学报,2007,50(2):540～545Wu QJ,Li Y H,Zhang R Q,et al.2D Kirchhoff migration for receiver function.Chinese J.Geophys.(in Chinese),2006,49(2):540～545
[15]刘礼农,崔凤林,张剑锋.三维复杂构造中地震波模拟的单程波方法.地球物理学报,2004,47(3):514～520Liu L N,Cui F L,Zhang J F.Seismic modeling with one-way wave equation in3D complex structures.Chinese J.Geophys.(in Chinese),2004,47(3):514～520
[16]Zhang J F,Wapenaar K.Wave field extrapolation and pre-stack depth migration in an elastic inhomogeneous media.Geophysical Prospecting,2002,50(3):629～643
[17]马在田.P-SV反射波的倾角时差校正(DMO)方法研究.地球物理学报,1996,39(2):243～250Ma Z T.DMO for P-SV converted reflection.Chinese J.Geophys.(in Chinese),1996,39(2):243～250
[18]李景叶,陈小宏,郝振江等.多波时移地震AVO反演研究.地球物理学报,2005,48(4):902～908Li J Y,Chen X H,Hao ZJ,et al.Astudy on multiple time-lapse seismic AVO inversion.Chinese J.Geophys.(in Chinese),2005,48(4):902～908
[19]胡中平,管路平,顾连兴等.高速屏蔽层下广角地震波场分析及成像方法.地球物理学报,2004,47(1):88～94Hu Z P,Guan L P,Gu L X,et al.Wide angle seismic wave field analysis and imaging method below the high velocity shield layers.Chinese J.Geophys.(in Chinese),2004,47(1):88～94
[20]李怀胜.广角反射在塔中地区的应用.石油物探,2005,44(3):292～295Li H S.The application of wide-angle reflection method in central Tarim basin.Geophysical Prospecting for Petroleum.(in Chinese),2005,44(3):292～295
[21]Shou H,Liu H,Gao J H.AVOinversion based on common shot migration.Applied Geophysics,2006,3(2):99～104
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