抛物旅行时插值最短路径射线追踪

Shortest path ray tracing based on parabolic traveltime interpolation

以最短路径射线追踪为基础,受动态网络最短路径射线追踪的启发,本文推导了抛物旅行时插值射线追踪公式,提出了基于抛物旅行时插值的最短路径射线追踪方法。其关键在于对某一计算节点不但利用Dijkstra算法计算旅行时,而且利用已知旅行时的节点形成的插值段进行抛物旅行时插值(PTI),并将两部分得到的最小旅行时作为该计算节点的最终时间,射线路径追踪利用抛物旅行时插值从接收点到炮点反向追踪。模型试算证明了该方法的正确性、有效性和适用性。

Under the foundation of shortest path ray tracing,inspired by the dynamic network shortest path ray tracing,we derive the formulation of parabolic traveltime interpolation and propose the shortest path ray tracing based on parabolic traveltime interpolation.The kernel of the method is that we calculate time of one node not only using Dijstra algorithm but also by parabolic traveltime interpolation at the interpolation segment formed by the nodes with computed time.Then we take the minimum traveltime as the final time of the node.After that,the backward ray path tracing from the receiver point to the shot point is performed by parabolic traveltime interpolating.Model data tests prove the accuracy,validity and applicability of the method.