基于Gabor-Daubechies小波束域波场外推的散射系数矩阵的计算及其应用
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摘要
利用Gabor Daubechies(G D)小波束域波场分解和传播在空间和方向上的双重局域性 ,提出了基于G D小波束域叠前深度偏移进行角度域成像和计算局部散射系数矩阵的方法 .以简单分层模型为例 ,对不同探测系统的局部散射系数矩阵分布特征进行分析 .分析结果表明 ,在一定的探测系统几何布局下 ,由本文方法得到的局部散射系数矩阵能够较真实地反映局部结构的散射 (或反射 )特性 .通过局部散射系数矩阵进一步外推具有不同速度反差的水平界面随角度变化的反射系数 ,并估计界面的空间位置和倾角等说明局部散射系数矩阵的潜在应用 .
Based on the localization properties of wavefield decomposition and propagation in the Gabor-Daubechies beamlet (G-D beamlet) domain, a new method for construction of local scattering matrix is proposed in this study. Local scattering matrices from different acquisition systems for simple layered models are constructed and analyzed. The results indicate that the real scattering (or reflection) features of the local structure can be well approximated by the local scattering matrices if reasonable acquisition configurations are employed for data collection. The angle-dependent reflection coefficients for various velocity contrast cases, the space location and the dip angle of the interfaces are also estimated through detailed investigation on the local scattering matrices, which further demonstrates the great potential application of local scattering matrices to fine structure studies.
Based on the localization properties of wavefield decomposition and propagation in the Gabor-Daubechies beamlet (G-D beamlet) domain, a new method for construction of local scattering matrix is proposed in this study. Local scattering matrices from different acquisition systems for simple layered models are constructed and analyzed. The results indicate that the real scattering (or reflection) features of the local structure can be well approximated by the local scattering matrices if reasonable acquisition configurations are employed for data collection. The angle-dependent reflection coefficients for various velocity contrast cases, the space location and the dip angle of the interfaces are also estimated through detailed investigation on the local scattering matrices, which further demonstrates the great potential application of local scattering matrices to fine structure studies.
引文
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[3] AudebertF ,NicholsD ,RekdalT ,etal.ImagingcomplexgeologicstructurewithsinglearrivalKirchhoffpre stackdepthmigration.Geo physics,1997,62(5):1533～1543
[4] StoffaPL ,FokkemaJT ,deLunaFreireRM ,etal.Split stepFouri ermigration.Geophysics,1990,55(4):410～421
[5] 陈生昌,曹景忠,马在田.叠前地震数据的平面波深度偏移法.地球物理学报,2003,46(6):821～826ChenSC ,CaoJZ ,MaZT .Amethodofplanewavedepthmigrationforpre stackseismicdata.ChineseJ .Geophys.(inChinese),2003,46(6):821～826
[6] deBruinCGM ,WapenaarCPA ,BerkhoutAJ .Angle dependentreflectivitybymeansofprestackmigration.Geophysics,1990,55(9):1223～1234
[7] BerkhoutAJ .SeismicMigration:ImagingofAcousticEnergybyWaveFieldExtrapolation,ATheoreticalAspects.ElsevierSciencePubl.Co.,Inc.1985
[8] FomelS ,PruchaM .Angle gathertimemigration.StanfordExplora tionProject,1999,100:359～368
[9] XuS ,ChaurisH ,Lambar啨G,etal.Common anglemigration:Astrategyforimagingcomplexmedia.Geophysics,2001,66(6):1877～1894
[10] BrandsbergDahlS,deHoopMV ,UrsinB .FocusingindipandAVAcompensationonscattering angle azimuthcommonimagegath ers.Geophysics,2003,68(1):232～254
[11] RickettJE ,SavaPC .Offsetandangle domaincommonimage pointgathersforshot profilemigration.Geophysics,2002,67(3):883～889
[12] 金胜汶,许士勇,吴如山.基于波动方程的广义屏叠前深度偏移.地球物理学报,2002,45(5):684～690JinSW ,XuSY ,WuRS .Waveequationbasedprestackdepthmi grationusinggeneralizedscreenpropagator.ChineseJ.Geophys.(inChinese),2002,45(5):684～690
[13] WuRS ,ChenL .WavepropagationandimagingusingGaborDau bechiesbeamlets.In:ShangEC ,LiQ ,GaoTFeds.TheoreticalandComputationalAcoustics.2001.661～670
[14] WuRS ,WangY ,GaoJH .Beamletmigrationbasedonlocalpertur bationtheory.70thAnn.Internat.Mtg.,Soc.Expl.Geophys.,Ex pandedAbstracts,2000.1008～1011
[15] ChenL ,WuRS,ChenY .Target orientedprestackbeamletmigra tionusingGaborDaubechiesframes.72ndAnn.Internat.Mtg.,Soc.Expl.Geophys.,ExpandedAbstracts,2002.1356～1359
[16] 陈 凌.小波束域波场的分解、传播及其在地震偏移成像中的应用[博士论文].北京:中国地震局地球物理研究所,2002ChenL .Beamlet domainwavefielddecomposition,propagationanditsapplicationsinseismicmigration imaging[Ph.D .thesis].Beijing:InstituteofGeophysics,ChinaSeismologicalBureau,2002
[17] AkiK ,RichardsPG .QuantitativeSeismology:TheoryandMethods,VolumnI.SanFrancisco:W .H .FreemanandCompany,1980.201
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