高尔根 ,徐果明 ,蒋先艺 ,罗开云 ,刘同庆 ,谢端 ,史进良 .三维结构下逐段迭代射线追踪方法 .石油地球物理勘探 ,2 0 0 2 ,37(1) :11～ 16本文基于 Snell定律和 Fermat原理对三维任意界面情况下的两点间射线追踪问题进行了研究。文中采用一阶不完全 Taylor展开等方法 ,推导出一个适用于三维介质分布情况下计算反 (折 )射点的 2× 2阶正定矩阵 ;从任意给定的初始路径出发 ,对射线路径进行逐段迭代计算 ,当整条射线路径的校正量之和满足一定的精度要求时 ,迭代计算过程结束 ,以最后一次迭代计算所得的射线路径作为最终的三维射线路径 ,进而实现三维结构下射线追踪计算。模型计算结果表明 ,该方法计算速度相当快 ,且计算精度可根据需要达到任意要求 Journal of Geophysical Prospecting, 2 0 0 2, 37 (1): 11 ~ 16 Based on Snell’s law and The Fermat principle studies the ray tracing problem between two points under the condition of three-dimensional arbitrary interface. In this paper, a first order incomplete Taylor expansion method is used to derive a 2 × 2 order positive definite matrix which is suitable for calculating the antireflection points under the condition of three-dimensional medium distribution. Starting from any given initial path, When the sum of the corrections of the entire ray path satisfies a certain accuracy requirement, the iterative calculation process is ended. The ray path calculated in the last iteration is used as the final three-dimensional ray path, and the ray tracing calculation in the three-dimensional structure is realized . The results of model calculation show that this method is quite fast in calculation speed, and the calculation precision can meet any requirement