最佳路径射线追踪算法研究  

Study of Shortest Path Method of Ray Tracing Algorithm

作　　者：郭继茹[1] 冯晅[1] 王俊祥[2] 张伯军[3] 王世煜[1] 刘财[1] 

机构地区：[1]吉林大学地球探测科学与技术学院,长春130026 [2]青海省地质调查院,西宁810012 [3]吉林师范大学,吉林四平136000

出　　处：《吉林大学学报（地球科学版）》2008年第S1期72-75,共4页Journal of Jilin University：Earth Science Edition

基　　金：国家自然科学基金(青年基金)项目(40704020);吉林省杰出青年科学研究计划(20070123);教育部留学回国人员科研启动基金(2007-1108)

摘　　要：射线追踪方法在地震波理论研究、地震波反演、层析成像中有重要作用,其中最佳路径射线追踪法现在应用较广泛。最佳路径射线追踪法是根据Fermat原理及图论中的最佳路径理论,先计算出所有未知节点的最小旅行时,然后从接收点开始,反向追踪炮点到接收点的射线路径。建立了均匀介质、含有高速体及低速体的介质、层状介质和连续介质的二维模型,用最佳路径法对它们进行了射线追踪。发现该方法在网格间距较大时,追踪出的射线呈"之"字型,计算走时比实际走时偏大。但是该方法能计算出直达波、折射波和回折波等初至波,适用于各种复杂的介质模型。Ray tracing method is of great importance in seismic wave theory research seismic inversion and tomography,migration processes.Shortest path ray tracing algorithm is more widly used lately.The shortest path ray tracing method is based on Fermat's principle and the shortest path graph theory.First calculate the travel time of the unknown point,then starting from the receiver,pursue the path from the exciton to the receiver in reverse.In this article we establish the two-dimensional model of equality,medium with high speed or low speed,samdwich and continuity medium,using the shortest path method tracing the ray.In this article we find when the grid parameters is big,the result will be zigzag,and the calculated time is bigger than the real time.This method can calculate the nonstop wave、refracted wave and inflexion wave,and can be applied in any complex model.

关 键 词：射线追踪 最佳路径 图形理论 

分 类 号：P631.4[天文地球—地质矿产勘探]