三维场地波动传播的快速射线追踪法  

A fast ray tracing method based on Snell's law and Fermat's principle for 3-D site

作　　者：赵谊[1] 高尔根[1] 赵振东[2] 郭明珠[2] 刘同庆[3] 

机构地区：[1]中国科技大学地球与空间科学系 [2]中国地震局工程力学研究所,哈尔滨150080 [3]安徽省地质科学研究所,合肥230001

出　　处：《地震工程与工程振动》2001年第2期24-29,共6页Earthquake Engineering and Engineering Dynamics

基　　金：黑龙江省自然科学基金G9803

摘　　要：本文基于Ｓｎｅｌｌ定律和Ｆｅｒｍａｔ原理对三维场地任意界面情况下的两点间射线追踪问题进行了研究，从同一条射线满足相同的射线参数出发，推得一个适用于任意界面情况下计算反（折）射点的一阶近似公式。结合迭代技术，给出了三维场地条件下射线追踪迭代算法的计算格式，并进行了三维场地射线追踪模拟计算。计算表明：计算速度相当快，且其计算精度可以根据需要满足要求。A new kind of two-point 3 -D site ray-tracing method based on Snell's law and Fermat's principle is studied in this paper. First, it starts from the fact that the ray satisfies the same ray parameter in the whole ray -path, a one-order approximate formula which is fitted to calculation of reflection or refraction point in the random interface is deduced. Combining iterative technique, an iterative ray-tracing algorithm is obtained. Numerical tests based on this method show that it is efficient and the accuracy varies with user's need.

关 键 词：三维结构 任意界面 射线追踪 迭代算法 工程地震 波动传播 Snell定律 Fermat原理 

分 类 号：P315.9[天文地球—地震学]