摘要
研究了一种适用于任意界面下射线追踪的新方法——整体迭代射线追踪法。首先,从射线在整条路径上满足Fermat原理出发,通过采用一阶Taylor展开等办法,推出一个求取射线校正量的正定三对角矩阵方程,从而实现整条射线路径的整体迭代计算。当整条射线路径上的校正量达到一定的精度要求时,认为射线追踪过程结束。模型计算表明,本方法计算速度快,其精度可根据需要来确定。为任意界面的地震层析成像提供了一种有效的射线追踪方法。
A new ray-tracing method - total iterative ray-tracing method in random interface is studied. First, it startsfrom the fact that the ray-path satisfies the Fermat principle in the total ray-path, adjustment is obtained by a positivetridiagonal matrix equation which is reduced from one-order Taylor expansion. Further, total iterative ray-tracing isrealized. When the adjustments on the total ray-path satisfy the preset precision, the procedure of the ray-tracing iscompleted. Numerical tests based on this method show that this algorithm is fast in the random interface velocitydistribution and the results are accurate enough. At the mean time, travel time can be given in the procedure ofray-tracing. It offers a new efficient ray-tracing method for seismic tomography.
出处
《声学学报》
EI
CSCD
北大核心
2002年第3期282-287,共6页
Acta Acustica
基金
教育部博士点研究基金(97035815)
黑龙江省自然科学基金(G9803)资助项目
