| 楔形空间中圆弧形沉积对平面P波的散射解析解 |
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| 引用本文： | 杨宇,朱秀云,杨智博,李亮.楔形空间中圆弧形沉积对平面P波的散射解析解[J].震灾防御技术,2018,13(4):810-821. |
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| 作者姓名： | 杨宇 朱秀云 杨智博 李亮 |
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| 作者单位： | 环境保护部核与辐射安全中心, 北京 100082 |
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| 基金项目： | 核电站地震紧急处置技术研究及示范应用（2017YFC1500804），国家自然科学基金（51408255） |
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| 摘 要： | 基于大圆弧假定，利用傅立叶-贝塞尔（Fourier-Bessel）级数波函数展开法，给出了含圆弧形沉积的楔形空间对平面P波的散射解析解。为方便构造地表面引起的散射波场，本文利用2个大圆弧面来模拟地表面，由连续性边界条件建立方程并求解得出该问题的解析解。算例结果表明，楔形空间沉积附近地表的动力响应特征依赖于入射波频率、入射角度、沉积内外介质特性与楔形夹角等因素，且位移放大效应较半空间情况更为显著。
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| 关 键 词： | 楔形空间 圆弧形沉积河谷 平面P波 散射 解析解 |
| 收稿时间： | 2018/1/18 0:00:00 |
Analytic Solution for Diffraction of Plane P Waves by a Circular Alluvial Valley in Wedge-shaped Space |
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| Yang Yu,Zhu Xiuyun,Yang Zhibo and Li Liang.Analytic Solution for Diffraction of Plane P Waves by a Circular Alluvial Valley in Wedge-shaped Space[J].Technology for Earthquake Disaster Prevention,2018,13(4):810-821. |
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| Authors: | Yang Yu Zhu Xiuyun Yang Zhibo and Li Liang |
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| Institution: | Nuclear and Radiation Safety Center, Ministry of Ecology and Environment of the People's Republic of China, Beijing 100082, China |
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| Abstract: | An analytical solution was derived in this paper to study the diffraction of plane P waves by a circular alluvial valley in wedge-shaped space on the basis of large circle assumption with Fourier-Bessel series expansion. In order to construct the scattering field, the ground surface was simulated with two large curved surfaces. An equation was established with continuous boundary conditions and the analytic solution was derived. The numerical results indicate that the surface displacement characteristics around the alluvial valley in wedge-shaped space depend on the frequency of the incident wave, the angle of incidence, the material properties of the media and the angle of the wedge. The displacement amplification effect on ground motion is more significant than that of the half space. |
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| Keywords: | Wedge-shaped space Alluvial valley Plane P-Waves Scattering Analytical solution |
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