高斯束方法及其应用
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摘要
高斯束方法是在动力学射线追踪和旁轴近似方法基础上发展而来的.高斯束是波动方程在特定射线附近的高频渐近解.本文介绍了高斯束方法及其与射线方法相比的优越性,以及高斯束在地震波场正演模拟以及偏移方面的应用,并提出了实现高斯束偏移的一种新方法.
Gaussian beam method is based on the dynamic raytracing and paraxial approximation method.Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.In this article the Gaussian beam method and its advantage to raytracing method is introduced.The application of Gaussian beam method in wave field simulation and migration is discussed,and a new method to implement Gaussian beam migration is put forward.
Gaussian beam method is based on the dynamic raytracing and paraxial approximation method.Gaussian beam is the asymptotic solution of wave equation concentred at the central ray.In this article the Gaussian beam method and its advantage to raytracing method is introduced.The application of Gaussian beam method in wave field simulation and migration is discussed,and a new method to implement Gaussian beam migration is put forward.
引文
[1]张钋,李幼铭,杨长春.波动方程Maslov射线解的有限差分计算[J].地球物理学报,1995,38(增刊1):74~80.
[2]Cerveny V.Gaussian beam synthetic seismograms[J].Journalof Geophysics,1985,58(1):44~72.
[3]Cerveny V,Popov M M,Psencik I.Computation of inhomo-geneous media-Gaussian beam approach[J].Geophys.J.R.astr.Soc.,1982,60(1),109~128.
[4]Cerveny V,Molotkov I A,Psencik I.地震学中的射线法[M],刘福田等译.北京:地质出版社,1986.
[5]Hill N R.Gaussian beam migration[J].Geophysics,1990,55(2):1416~1428.
[6]Hill N R.Prestack Gaussian beam depth migration[J].Geo-physics,2001,66(2):1240~1250.
[7]Hale D.Migration by the Kirchhoff,slant stack,and Gaussi-an beam methods[A].Center for Wave Phenomena,ColoradoSchool of Mines,CWP-126,1992.
[8]Hale D.Computational aspects of Gaussian beam migration[A].Center for Wave Phenomena,Colorado School of Mines.CWP-127,1992.
[9]张钋,杨长春,李幼铭.三维多值走时地震波场重建及格林函数计算[J].地球物理学报,2000,43(2):241~250.
[10]徐?,杨长春,刘洪,李幼铭.射线追踪的微变网格方法[J].地球物理学报,1996,39(1):23~34.
[11]刘洪,孟繁林,李幼铭.计算最小走时和射线路径的界面网全局方法[J].地球物理学报,1994,38,增刊1:823~831.
[12]吴立明,许云,乌达巴拉.高斯束射线法在二维非均匀介质复杂构造中的应用[J].地球物理学报,1995,38,增刊1:144~152.
[13]杨长春,刘兴材,李幼铭,等.地震叠前深度偏移方法流程及应用[J].地球物理学报,1996,39(3):409~415.
[14]Sun H,Schuster GT.2-D wavepath migration[J].Geophys-ics,2001,66(3):1528~1537.
[15]刘伊克,Hongchuan Sun,常旭.基于波射线路径偏移压制多次波[J].地球物理学报,2004,47(4):697~701.
[16]张钋,刘洪,李幼铭.射线追踪的发展现状[J].地球物理学进展,2000,15(1):36~45.
[2]Cerveny V.Gaussian beam synthetic seismograms[J].Journalof Geophysics,1985,58(1):44~72.
[3]Cerveny V,Popov M M,Psencik I.Computation of inhomo-geneous media-Gaussian beam approach[J].Geophys.J.R.astr.Soc.,1982,60(1),109~128.
[4]Cerveny V,Molotkov I A,Psencik I.地震学中的射线法[M],刘福田等译.北京:地质出版社,1986.
[5]Hill N R.Gaussian beam migration[J].Geophysics,1990,55(2):1416~1428.
[6]Hill N R.Prestack Gaussian beam depth migration[J].Geo-physics,2001,66(2):1240~1250.
[7]Hale D.Migration by the Kirchhoff,slant stack,and Gaussi-an beam methods[A].Center for Wave Phenomena,ColoradoSchool of Mines,CWP-126,1992.
[8]Hale D.Computational aspects of Gaussian beam migration[A].Center for Wave Phenomena,Colorado School of Mines.CWP-127,1992.
[9]张钋,杨长春,李幼铭.三维多值走时地震波场重建及格林函数计算[J].地球物理学报,2000,43(2):241~250.
[10]徐?,杨长春,刘洪,李幼铭.射线追踪的微变网格方法[J].地球物理学报,1996,39(1):23~34.
[11]刘洪,孟繁林,李幼铭.计算最小走时和射线路径的界面网全局方法[J].地球物理学报,1994,38,增刊1:823~831.
[12]吴立明,许云,乌达巴拉.高斯束射线法在二维非均匀介质复杂构造中的应用[J].地球物理学报,1995,38,增刊1:144~152.
[13]杨长春,刘兴材,李幼铭,等.地震叠前深度偏移方法流程及应用[J].地球物理学报,1996,39(3):409~415.
[14]Sun H,Schuster GT.2-D wavepath migration[J].Geophys-ics,2001,66(3):1528~1537.
[15]刘伊克,Hongchuan Sun,常旭.基于波射线路径偏移压制多次波[J].地球物理学报,2004,47(4):697~701.
[16]张钋,刘洪,李幼铭.射线追踪的发展现状[J].地球物理学进展,2000,15(1):36~45.
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