三维试射射线追踪子三角形法
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摘要
地震波的射线追踪方法在地震资料处理中有着广泛的应用,而且射线追踪的精度和计算效率直接决定着资料处理的质量和效率。所以不断改进射线追踪方法一直是人们的研究热点。人们普遍认为,试射法是解决两点射线追踪的一种快速、精确的方法。在此基础上,本文运用三角形的面积坐标,提出了几种试射追踪方法:单纯形法,细分三角形法,分割三角形法和子三角形法。研究表明子三角形法平均试射次数最少,而且收敛快,精度最高。文中给出的三维射线追踪实例及理论研究证明:试射修正时采用对射线的方向分量修正比直接对试射角度修正的效果要好。
Ray traeing method of seismic wave has wide applieation in seismic data processing and its precision and computational efficiency directly determine the quality of data processing. Therefore,constantly improving the ray-tracing method has always been the human's studied hot spot. Generally, the pcople considered that shooting method is rapid and accurate method for solving ray-tracing problem between two points. On that basis , using area coordinate of triangle, the paper presented several shooting ray-tracing methods:simplicity method,triangle sub division method , triangle partition method and sub triangle method. The studied results showed that the sub triangle method is characteristics of fower shooting numbers, rapid convergence and high precision. The 3-D ray-tracing theoretical studies and real cases presented by the paper showed that using correction of directional components of shooting has better results by comparison with direct correction of shooting angles when shooting correction is carried out.
Ray traeing method of seismic wave has wide applieation in seismic data processing and its precision and computational efficiency directly determine the quality of data processing. Therefore,constantly improving the ray-tracing method has always been the human's studied hot spot. Generally, the pcople considered that shooting method is rapid and accurate method for solving ray-tracing problem between two points. On that basis , using area coordinate of triangle, the paper presented several shooting ray-tracing methods:simplicity method,triangle sub division method , triangle partition method and sub triangle method. The studied results showed that the sub triangle method is characteristics of fower shooting numbers, rapid convergence and high precision. The 3-D ray-tracing theoretical studies and real cases presented by the paper showed that using correction of directional components of shooting has better results by comparison with direct correction of shooting angles when shooting correction is carried out.
引文
[1] Cerveny V. Seismic ray theory. Cambridge University Press,2001
[2] 徐涛等．三维复杂介质的块状建模和试射射线追踪． 地球物理学报,2004,47(6):1118-1126
[3]杨文采,李幼铭．应用地震层析成像．北京:地质出版 社,1993
[4] 张钋等．射线追踪方法的发展现状．地球物理学进展, 2000,15:36-45
[5] Langan R T et al. Tracing of rays through heterogeneous media:an accurate and efficient procedure. Geo-physics ,1985,50:1456-1465
[6] 马争鸣,李衍达．两步法射线追踪．地球物理学报, 1991,34:501-508
[7] 徐昇等．射线追踪的微变网格方法．地球物理学报, 1996,39(1):97～102
[8] 杨长春等．适于复杂地质模型的三维射线追踪方法． 地球物理学报,1997,40(3):414-420
[9] Sambridge M S et al. Boundary value ray tracing in heterogeneous medium: a simple and versatile algorithm.Geophys J Int, 1990,101:157-168
[10] Virieux J et al. Ray tracing in 3-D complex isotropic media. Geophysics, 1991,56:2057-2069
[11] Sun Y.Ray tracing in 3-D media by parametrized shooting. Geophys J Int,1993,114:145-155
[12] 刁在筠等．运筹学．北京:高等教育出版社,1996
[13] 卢开澄．单目标、多目标与整数规划．北京:清华大学 出版社,1999
[14] Julian B R et al. Three-dimensional seismic ray trac-ing.J Geophys, 1997,43 :95-114
[15]常庚哲．曲面的数学．长沙:湖南教育出版社,1995
[2] 徐涛等．三维复杂介质的块状建模和试射射线追踪． 地球物理学报,2004,47(6):1118-1126
[3]杨文采,李幼铭．应用地震层析成像．北京:地质出版 社,1993
[4] 张钋等．射线追踪方法的发展现状．地球物理学进展, 2000,15:36-45
[5] Langan R T et al. Tracing of rays through heterogeneous media:an accurate and efficient procedure. Geo-physics ,1985,50:1456-1465
[6] 马争鸣,李衍达．两步法射线追踪．地球物理学报, 1991,34:501-508
[7] 徐昇等．射线追踪的微变网格方法．地球物理学报, 1996,39(1):97～102
[8] 杨长春等．适于复杂地质模型的三维射线追踪方法． 地球物理学报,1997,40(3):414-420
[9] Sambridge M S et al. Boundary value ray tracing in heterogeneous medium: a simple and versatile algorithm.Geophys J Int, 1990,101:157-168
[10] Virieux J et al. Ray tracing in 3-D complex isotropic media. Geophysics, 1991,56:2057-2069
[11] Sun Y.Ray tracing in 3-D media by parametrized shooting. Geophys J Int,1993,114:145-155
[12] 刁在筠等．运筹学．北京:高等教育出版社,1996
[13] 卢开澄．单目标、多目标与整数规划．北京:清华大学 出版社,1999
[14] Julian B R et al. Three-dimensional seismic ray trac-ing.J Geophys, 1997,43 :95-114
[15]常庚哲．曲面的数学．长沙:湖南教育出版社,1995
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