徐剑侠^1,,
张伟²,
陈晓非^2,
1. 中国科学技术大学地球和空间科学学院, 合肥 230026
2. 南方科技大学地球与空间科学系, 广东深圳 518055

基金项目: 国家自然科学基金项目（41790465），广东省领军人才项目（2016LJ06N652）资助


详细信息

作者简介: 徐剑侠, 男, 1985年生, 中国科学技术大学博士研究生, 从事地震波波形模拟工作, 现在南方科技大学工作.E-mail:xjx@mail.ustc.edu.cn

通讯作者: 陈晓非, 男, 南方科技大学讲席教授, 中国科学院院士, 主要研究方向:地震学、理论与计算地球物理学、地球动力学及其在防震减灾和资源勘探领域的应用

中图分类号: P315

收稿日期:2019-06-18
修回日期:2020-12-10
上线日期:2021-02-10

Finite difference in the polar coordinate system with irregular topography

XU JianXia^1,,
ZHANG Wei²,
CHEN XiaoFei^2,
1. School of Earth and Space Sciences, University of Science and Technology of China, Hefei 230026, China
2. Department of earth and space science, Southern University of Science and Technology, Shenzhen Guangdong 518055, China


More Information

Corresponding author: CHEN XiaoFei

MSC: P315

--> Received Date: 18 June 2019
Revised Date: 10 December 2020
Available Online: 10 February 2021


摘要
摘要:有限差分算法是地震学中重要的算法，在直角坐标系下同位网格有限差分中使用牵引力镜像方法，可以高效准确地处理起伏地表边界条件.当研究区域-全球尺度问题时需要考虑地球曲率影响，此时选择极坐标系更加直观方便，但已有方法无法在极坐标系下准确计算起伏地表影响.本文在极坐标系有限差分中引入贴体网格和牵引力镜像方法处理起伏地表边界条件，并在多个算例中验证算法正确性和适用范围，证明牵引力镜像法在极坐标系有限差分中有效.
关键词: 有限差分/
极坐标系/
起伏地表/
牵引力镜像法

Abstract:The finite difference method (FDM) is an important numerical tool in seismological research. The application of the traction free surface boundary condition is a key issue in the FDM. For the Cartesian coordinate system FDM, when irregular topography exists, the traction image method can satisfy the traction free condition with high accuracy and high efficiency. For seismic wave modeling on regional or global scales, the effect of Earth's curvature must be considered. In this case, the polar coordinator system FDM is more convenience, but the existing method cannot calculate the effect of topography accurately. In this work we introduce a boundary confirm grid and a traction image method into the polar coordinate system FDM to solve this problem. Several numerical tests confirm the validity of our work.
Key words:Finite difference method/
Polar coordinate system/
Irregular topography/
Traction image method



PDF全文下载地址:

http://www.geophy.cn/data/article/export-pdf?id=608009fbc23e67607ae103fa