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陈裕明 ,李晶 ,唐湘蓉 ,张海燕 .最小时间两点射线追踪 .石油地球物理勘探 ,2 0 0 2 ,37(5 ) :4 5 5～ 4 5 9 本文利用费马原理提出了一种快速、有效的射线追踪方法——最小时间射线追踪方法。首先利用三次样条函数详细描述地质模型 ,根据费马原理导出微分形式的射线路径方程组。为确保算法的鲁棒性和精确度 ,本文提出在保证一定运算速度的情况下 ,尽可能同时提供多种解法 ,以确保成功地得到射线路径 ,并且给出多组不同的初始值 ,以解决多解问题 ;然后以利用梯度法为例简单介绍了求解的过程 ,推导了梯度法的主要数值计算公式。模型试算结果表明 ,本文所提出的方法具有精确、适用于复杂地质模型的特点 ,其运算速度与打靶法相比提高了两个数量级。
CHEN Yu-ming, LI Jing, TANG Xiang-rong, ZHANG Hai-yan .Radar ray tracing with minimum time two points.Petroleum Geophysical Prospecting, 2 0 0 2, 37 (5): 455 ~ 459 This paper presents a fast, Effective ray tracing method - minimum time ray tracing method. First, the cubic spline function is used to describe the geological model in detail and derive the differential ray path equations according to Fermat’s principle. In order to ensure the robustness and accuracy of the algorithm, this paper proposes to provide multiple solutions as much as possible while ensuring a certain operation speed to ensure that the ray paths are successfully obtained, and different sets of initial values are given to solve the problem Then, taking the gradient method as an example, the process of solving is simply introduced and the main numerical formulas of the gradient method are deduced. The model test results show that the proposed method is accurate and suitable for complex geological models, and the computational speed is improved by two orders of magnitude compared with the shooting method.