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本文介绍并实现了一种由Asakawa提出的基于旅行时线性插值的地震射线追踪算法（简称LTI算法），并在此基础上提出了反射波LTI算法。LTI算法基于网格单元模型，适用于任意变速介质，可以追踪包括直达波、折射波、透射波等多种射线路径。原LTI算法处理初至类型的地震波，而本文将其推广到反射波情况，使其可以应用于计算地震反射波的旅行时及追踪反射波射线路径。通过计算试验及与物理模型实验结果对比表明，用该算法计算旅行时和追踪射线路径比其它常规方法（如有限差分法）更为精确，更加适应速度变化大等复杂条件，这是一种很有发展前途的地震射线追踪算法。
This paper introduces and implements a seismic ray tracing algorithm (referred to as LTI algorithm) proposed by Asakawa for travel time-based linear interpolation, and on the basis of which a LTI algorithm of reflected waves is proposed. The LTI algorithm is based on the grid element model and is suitable for any variable speed media. It can track various ray paths including direct wave, refracted wave and transmitted wave. The original LTI algorithm deals with the first arrival of the type of seismic wave, and this paper generalizes it to the case of reflected wave so that it can be used to calculate the travel time of seismic reflection wave and track the reflected ray ray path. The comparison between the experimental results and the experimental results of the physical model shows that this algorithm is more accurate than the other conventional methods (such as the finite difference method) and can adapt to complex conditions such as large velocity variations when traveling and tracing ray paths. This is a very complicated There are promising seismic ray tracing algorithms.