柱坐标系下求解三维弹性波场的部分分离变量-分步差分方法

计算物理 ›› 1993, Vol. 10 ›› Issue (3): 297-308.

柱坐标系下求解三维弹性波场的部分分离变量-分步差分方法

何柏荣¹, 冯德益², 聂永安², 王振彪³, 金建革⁴

1.南开大学, 天津 300071;
2. 天津市地震局, 天津300201;
3. 北京建工学院, 北京 100044;
4.国家地震局分析预报中心, 北京 100036

收稿日期:1992-01-02 修回日期:1993-02-21 出版日期:1993-09-25 发布日期:1993-09-25

THE PARTIAL SEPARATION OF VARIABLES-FRACTIONAL STEPS DIFFERENCE METHOD FOR SOLVING 3-DIMENSIONAL ELASTIC WAVE FIELD IN CYLINDRICAL COORDINATE SYSTEM

He Bairong¹, WangZhanbiao², Beijing Feng², Nie Yongan³, Jin Jiange⁴

1. Nankai University, Tiuniin 300071;
2. The Tianjin Bureau of Seismology, Tianjin 300201;
3. Beijing Architectural Engineering Institute Beijing 100044;
4. Center for Analysis and Prediction, SSB Beijing 100036

Received:1992-01-02 Revised:1993-02-21 Online:1993-09-25 Published:1993-09-25

摘要/Abstract

摘要： 本文提出一类研究由分层介质中嵌入的异性圆柱体引起的弹性波绕射问题的解析-数值方法,它基于柱坐标系下微分方程的部分分离变量和分步差分的技术组合上。为了检验本方法的功能,我们给出了一个计算实例。

关键词: 柱坐标系, 弹性波场, 部分分离变量, 分步差分方法

Abstract: An analytical-numerical method is developed for studying the diffraction of elastic wave by an abnormal cylinder embeded in layered media. The method is based on a combination of partial separation of variables and fractional steps difference techniques in cylin-drical coordinate system. For examining the efficiency of this method a calculation example is given.

Key words: cylindrical coordinate system, elastic wave field, separation of variables.fractional steps difference method

何柏荣, 冯德益, 聂永安, 王振彪, 金建革. 柱坐标系下求解三维弹性波场的部分分离变量-分步差分方法[J]. 计算物理, 1993, 10(3): 297-308.

He Bairong, WangZhanbiao, Beijing Feng, Nie Yongan, Jin Jiange. THE PARTIAL SEPARATION OF VARIABLES-FRACTIONAL STEPS DIFFERENCE METHOD FOR SOLVING 3-DIMENSIONAL ELASTIC WAVE FIELD IN CYLINDRICAL COORDINATE SYSTEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 10(3): 297-308.