全反射SH地震波的Goos-Hinchen效应动校正时差
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摘要
利用SH地震波(偏振化方向垂直入射面的横波)在地层界面反射系数的附加相角导出了SH波GoosHnchen效应所引起的横向偏移和横向偏移渡越时间,给出了Goos-Hnchen效应正常时差公式,讨论了Goos-Hnchen效应对反射SH波正常时差的影响,绘出了横向偏移、横向偏移渡越时间、Goos-Hnchen效应正常时差及Goos-Hnchen效应正常时差校正量曲线.数值算例表明:对掠入射波或入射角在临界角附近的入射波,SH反射波的横向偏移、横向偏移渡越时间非常大,Goos-Hnchen效应对正常时差会产生较大的测量误差,在其他角度的入射波,横向偏移(横向偏移渡越时间)与波长(周期)为同一个数量级.横向偏移效应对SH反射波的传播走时影响是不可忽略的,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 SH seismic wave at the interface of strata,we derived the lateral shift and group time delay of total reflected SH seismic wave,given formulae of normal moveout of Goos-Hnchen effect,discussed the influence of Goos-Hnchen effect on normal moveout of SH-wave,and drawn the curves of lateral shift,group time delay, 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 for glancing wave or angle of incidence being near the critical angle,the lateral shift and group time delay are very large.A large error can be caused by Goos-Hnchen effect; In other angle of incidence the lateral shift (group time delay)is the same order of magnitude as the wavelength(period); So Goos-Hnchen effect can bring about large influence on the travel time of SH-wave.The error correction of Goos-Hnchen effect should be made before seismic data processing.
Using the phase shift of reflection coefficient of SH seismic wave at the interface of strata,we derived the lateral shift and group time delay of total reflected SH seismic wave,given formulae of normal moveout of Goos-Hnchen effect,discussed the influence of Goos-Hnchen effect on normal moveout of SH-wave,and drawn the curves of lateral shift,group time delay, 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 for glancing wave or angle of incidence being near the critical angle,the lateral shift and group time delay are very large.A large error can be caused by Goos-Hnchen effect; In other angle of incidence the lateral shift (group time delay)is the same order of magnitude as the wavelength(period); So Goos-Hnchen effect can bring about large influence on the travel time of SH-wave.The error correction of Goos-Hnchen effect should be made before seismic data processing.
引文
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[19] 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 Z J,et al.A study on multiple time-lapse seismic AVO inversion.Chinese J.Geophys.(in Chinese),2005,48(4) :902～908
[20] 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
[21] 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
[22] Shou H,Liu H,Gao J H.AVO inversion based on common shot migration.Applied Geophysics,2006,3(2) :99～104
[23] 楚泽涵,高杰,黄隆基等.地球物理测井方法与原理(上).北京:石油工业出版社,2007． 234～242,307Chu Z H,Gao J,Huang L J,et al.Method and Principle of Geophysical Logging(First Volume)(in Chinese).Beijing:Petroleum Industry Press,2007． 234～242,307
[24] Fred J H著.地震振幅解释.孙夕平,赵良武译,北京:石油工业出版社,2006． 18～39Fred J H.Seismic Amplitude Interpretation(in Chinese).Sun X P,Zhao L W Trans.Beijing:Petroleum Industry Press,2006． 18～39
[25] 谭廷栋.天然气勘探中的测井技术.北京:石油工业出版社,1994． 176～183Tan T D.Logging Technology in Gas Prospecting(in Chinese).Beijing:Petroleum Industry Press,1994． 176～183
[2] Lai H M,Chan S W.Large and negative Goos-Hnchen 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-Hnchen 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 CW Gaussian beam interactions 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,et al.Direct measurement of the Wigner delay associated with the Goos-Hnchen effect.Physical Review Letters,2000,80:71～74
[8] Ignatovich V K.Neutron from condensed matter,the Goos-Hnchen effect and coherence.Physical Letters A,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] Liu F P,Wang A L,Chen Q,et al.The research progress on lateral shift of reflected electromagnetic wave at the interface of two conductive media.Chinese Science Bulletin,2008,53(7) :961～968
[12] 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:123～194,267Lu J M.Seismic Exploration Principle(the First and Second Volumes)(in Chinese).Shandong Dongying:China University of Petroleum Press,1993． the First Volume:20～30,the Second Volume:123～194,267
[13] 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:China University of Petroleum Press,1996． 136～182
[14] 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
[15] 吴庆举,李永华,张瑞青等.接收函数的克希霍夫2D偏移方法.地球物理学报,2007,50(2) :540～545Wu Q J,Li Y H,Zhang R Q,et al.2D Kirchhoff migration for receiver function.Chinese J.Geophys.(in Chinese),2007,50(2) :540～545
[16] 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 in 3D complex structures.Chinese J.Geophys.(in Chinese),2004,47(3) :514～520
[17] Zhang J F,Wapenaar K.Wave field extrapolation and prestack depth migration in an elastic inhomogeneous media.Geophysical Prospecting,2002,50(3) :629～643
[18] 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
[19] 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 Z J,et al.A study on multiple time-lapse seismic AVO inversion.Chinese J.Geophys.(in Chinese),2005,48(4) :902～908
[20] 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
[21] 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
[22] Shou H,Liu H,Gao J H.AVO inversion based on common shot migration.Applied Geophysics,2006,3(2) :99～104
[23] 楚泽涵,高杰,黄隆基等.地球物理测井方法与原理(上).北京:石油工业出版社,2007． 234～242,307Chu Z H,Gao J,Huang L J,et al.Method and Principle of Geophysical Logging(First Volume)(in Chinese).Beijing:Petroleum Industry Press,2007． 234～242,307
[24] Fred J H著.地震振幅解释.孙夕平,赵良武译,北京:石油工业出版社,2006． 18～39Fred J H.Seismic Amplitude Interpretation(in Chinese).Sun X P,Zhao L W Trans.Beijing:Petroleum Industry Press,2006． 18～39
[25] 谭廷栋.天然气勘探中的测井技术.北京:石油工业出版社,1994． 176～183Tan T D.Logging Technology in Gas Prospecting(in Chinese).Beijing:Petroleum Industry Press,1994． 176～183
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