复杂介质中平面波模拟的单程波方法
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摘要
地震勘探中平面波分解技术在地震资料处理与反演领域均得以广泛应用,通过正演算法模拟平面波记录有助于理解和检验平面波分解的效果和精度.本文给出一种用以模拟复杂介质中平面波的数值算法,考虑了振幅随入射角度的变化.与前人研究的平面波模拟算法相比,该算法基于波动方程的单程波解法,不但适用于横向非均匀介质,在地层倾角水平条件下还能够准确模拟振幅随入射角关系.通过Marmousi模型的计算实例,证明了本文方法的可行性.
Plane wave decomposition technology is widely used in seismic data processing and inversion.Simulating plane wave records with forward algorithm can help understand and test the effect and accuracy of plane wave decomposition.In this article,we present a new method for simulating plane wave in complex media,taking into consideration the variation in amplitude versus angle of incidence.Compared with previous algorithms of plane wave simulation,the algorithm developed in this study based on one-way wave equation method is not only applicable to horizontally inhomogeneous media,but also useful in accurately simulate the amplitude versus angle relationship.The calculation example with Marmousi model conformed feasibility of this method.
Plane wave decomposition technology is widely used in seismic data processing and inversion.Simulating plane wave records with forward algorithm can help understand and test the effect and accuracy of plane wave decomposition.In this article,we present a new method for simulating plane wave in complex media,taking into consideration the variation in amplitude versus angle of incidence.Compared with previous algorithms of plane wave simulation,the algorithm developed in this study based on one-way wave equation method is not only applicable to horizontally inhomogeneous media,but also useful in accurately simulate the amplitude versus angle relationship.The calculation example with Marmousi model conformed feasibility of this method.
引文
崔兴福,张关泉,吴雅丽.2004.三维非均匀介质中真振幅地震偏移算子研究[J].地球物理学报,47(3):509-513.
刘礼农,崔凤林,张剑锋.2004.三维复杂构造中地震波模拟的单程波方法[J].地球物理学报,47(3):514-520.
孙成禹.2000.球面波分解理论及倾斜叠加方法的实现[J].石油地球物理勘探,35(6):723-729.
吴律.1993.τ-p变换及应用[M].北京:石油工业出版社:231-239.
谢桂生,刘洪,李幼铭,胡润苗.2005.界面起伏条件下反射/透射算子+单程波方程的地震波模拟[J].地球物理学报,48(5):1172-1178.
印兴耀,赵剑,张繁昌,孙成禹,罗焕章.2006.球面波叠前地震记录的合成方法[J].中国石油大学学报(自然科学版),30(1):26-32.
Popovici A M.1996.Prestack migration by splite-step DSR[J].Geophysics,61(5):1412-1416.
Biondo B.2003.Equivalence of source-receiver migration and shot-profile migration[J].Geophysics,68(4):1340-1347.
Kuehl H,Sacchi M D.2003.Least-squares wave-equation migration for AVP/AVAinversion[J].Geophysics,68(1):262-273.
Kuehl H,Sacchi M D.2002.Robust AVP estimation using least-squares wave-equation migration[C]∥72nd Ann IntMtg,Soc Expl Geophys,Expanded Abstracts:281-284.
Claerbout J F.1985.Imagingthe Earth’s Interior[M].Cambridge Massachusetts USA:Blackwell Scientific Publica-tions,Inc:128-130.
Shuey R T.1985.Asimplification of the Zoeppritz equations[J].Geophysics,50(2):609-614.
Stoffa P L,Fokkema J T,de Luna Freire R M,Kessinger WP.1990.Split-step Fourier migration[J].Geophysics,55(2):410-421.
Subhashis M,Frazer L N.1987.Practical aspects of reflectivity modeling[J].Geophysics,52(10):1355-1364.
Wang D Y,McCowan D W.1989.Spherical divergence correction for seismic data using slant stacks[J].Geophysics,54(5):563-569.
Wapenear C P A.1990.Representation of seismic sources in the one-way wave equations[J].Geophysics,55(6):786-790.
Zhang Yu,Xu Sheng,Beistein Norman,Zhang Guanquan.2007.True-amplitude,angle-domain,common-image gathersfromone-way wave-equation migrations[J].Geophysics,72(1):S49-S58.
Zhang Yu.2002.Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration[C]∥72nd Ann Int Mtg,Soc Expl Geophys,Expanded Abstracts:2471-2474.
刘礼农,崔凤林,张剑锋.2004.三维复杂构造中地震波模拟的单程波方法[J].地球物理学报,47(3):514-520.
孙成禹.2000.球面波分解理论及倾斜叠加方法的实现[J].石油地球物理勘探,35(6):723-729.
吴律.1993.τ-p变换及应用[M].北京:石油工业出版社:231-239.
谢桂生,刘洪,李幼铭,胡润苗.2005.界面起伏条件下反射/透射算子+单程波方程的地震波模拟[J].地球物理学报,48(5):1172-1178.
印兴耀,赵剑,张繁昌,孙成禹,罗焕章.2006.球面波叠前地震记录的合成方法[J].中国石油大学学报(自然科学版),30(1):26-32.
Popovici A M.1996.Prestack migration by splite-step DSR[J].Geophysics,61(5):1412-1416.
Biondo B.2003.Equivalence of source-receiver migration and shot-profile migration[J].Geophysics,68(4):1340-1347.
Kuehl H,Sacchi M D.2003.Least-squares wave-equation migration for AVP/AVAinversion[J].Geophysics,68(1):262-273.
Kuehl H,Sacchi M D.2002.Robust AVP estimation using least-squares wave-equation migration[C]∥72nd Ann IntMtg,Soc Expl Geophys,Expanded Abstracts:281-284.
Claerbout J F.1985.Imagingthe Earth’s Interior[M].Cambridge Massachusetts USA:Blackwell Scientific Publica-tions,Inc:128-130.
Shuey R T.1985.Asimplification of the Zoeppritz equations[J].Geophysics,50(2):609-614.
Stoffa P L,Fokkema J T,de Luna Freire R M,Kessinger WP.1990.Split-step Fourier migration[J].Geophysics,55(2):410-421.
Subhashis M,Frazer L N.1987.Practical aspects of reflectivity modeling[J].Geophysics,52(10):1355-1364.
Wang D Y,McCowan D W.1989.Spherical divergence correction for seismic data using slant stacks[J].Geophysics,54(5):563-569.
Wapenear C P A.1990.Representation of seismic sources in the one-way wave equations[J].Geophysics,55(6):786-790.
Zhang Yu,Xu Sheng,Beistein Norman,Zhang Guanquan.2007.True-amplitude,angle-domain,common-image gathersfromone-way wave-equation migrations[J].Geophysics,72(1):S49-S58.
Zhang Yu.2002.Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration[C]∥72nd Ann Int Mtg,Soc Expl Geophys,Expanded Abstracts:2471-2474.
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