张宁^1,2,,
潘家琐^1,2,
代登辉^1,2,
高玉峰^1,2,,
1. 河海大学岩土力学与堤坝工程教育部重点实验室, 南京 210098
2. 河海大学土木与交通学院, 南京 210098

基金项目: 国家自然科学基金面上项目（52078184）和国家自然科学基金重点项目（41630638）资助


详细信息

作者简介: 张宁, 男, 1985年生, 博士, 教授, 主要从事岩土地震工程研究.E-mail: ningzhanghhu@163.com

通讯作者: 高玉峰, 男, 1966年生, 博士, 教授, 主要从事岩土地震工程研究.E-mail: yfgao66@163.com

中图分类号: P315

收稿日期:2020-02-04
修回日期:2020-11-06
上线日期:2021-03-10

An analytical solution to the scattering of plane SH waves by a V-shaped canyon with cliffs

ZHANG Ning^1,2,,
PAN JiaSuo^1,2,
DAI DengHui^1,2,
GAO YuFeng^1,2,,
1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China
2. College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China


More Information

Corresponding author: GAO YuFeng,E-mail:yfgao66@163.com

MSC: P315

--> Received Date: 04 February 2020
Revised Date: 06 November 2020
Available Online: 10 March 2021


摘要
摘要:地表地形常引起地震动的局部放大，这是由于地震波传播至局部地形时产生了散射现象.本文利用波函数展开方法和区域匹配技术，提出了含峭壁V形峡谷对平面SH波散射问题的解析解，并进行了退化验证.通过频域内的参数分析，揭示了峭壁深度、入射波频率和角度等因素对峡谷场地地面运动的影响规律，发现上部峭壁会增强峡谷对地震动的地形放大效应.研究结果不仅为数值方法提供了验证基准，还可为含峭壁峡谷周边建筑物的抗震设计提供顺河向地震动输入.
关键词: 地形效应/
平面SH波/
散射/
波函数展开/
解析解

Abstract:Local amplification of ground motions often occurs due to the scattering of seismic waves when propagating around surface topography. This paper, using the method of wave function expansion and the technique of region matching, proposes an analytical solution to the scattering of plane SH waves by a V-shaped canyon with cliffs and validates it by the degradation. Based on a parametric analysis in the frequency domain, the effects of cliff depth, incident wave frequency and angle on the ground motion of the canyon site are revealed. It is found that the upper cliff can enhances the amplification effect of the canyon on ground motions. The research results provide not only a reference for numerical methods, but also an earthquake input in the upstream-downstream direction for the seismic design of buildings around canyons with cliffs.
Key words:Topographic effect/
Plane SH wave/
Scattering/
Wavefunction expansion/
Analytical solution



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