| Surface motion of a semi-cylindrical hill for incident plane SV waves： Analytical solution |
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| 引用本文： | 梁建文 张彦帅 Vincent W Lee.Surface motion of a semi-cylindrical hill for incident plane SV waves： Analytical solution[J].地震学报(英文版),2006,19(3):251-263. |
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| 作者姓名： | 梁建文 张彦帅 Vincent W Lee |
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| 作者单位： | [1]Tianjin University, Tianjin 300072, China [2]University of Southern California, Los Angeles, CA 90089-2531, USA |
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| 基金项目： | National Natural Science Foundation of China （50378063） and Program for New Century Excellent Talents in University. |
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| 摘 要： | Introduction Scattering of incident waves by local topographies is one of the most attractive topics in the field of engineering seismology. They can be resolved by either a numerical method or an analyti-cal method. The numerical methods include finite difference method, finite element method, boundary element method, etc. The analytical method is the wave function expansion method. Al-though numerical methods can be used for arbitrary-shaped topographies, the analytical solutions are still …
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| 关 键 词： | 地震波 表层运动 地震运动 X线断层摄影术 |
| 文章编号： | 1000-9116（2006）03-0251-13 |
| 收稿时间： | 2005-02-10 |
| 修稿时间： | 2005-12-21 |
Surface motion of a semi-cylindrical hill for incident plane SV waves: Analytical solution |
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| LIANG Jian-wen,ZHANG Yan-shuai,Vincent W Lee.Surface motion of a semi-cylindrical hill for incident plane SV waves: Analytical solution[J].Acta Seismologica Sinica(English Edition),2006,19(3):251-263. |
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| Authors: | LIANG Jian-wen ZHANG Yan-shuai Vincent W Lee |
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| Institution: | 1. Tianjin University, Tianjin 300072, China
2. University of Southern California, Los Angeles, CA 90089-2531, USA |
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| Abstract: | An analytical solution for surface motion of a semi-cylindrical hill for incident plane SV waves was derived by using the wave function expansion method and the auxiliary function technique, and convergence of the solution and accuracy of truncation were verified. The effect of incident frequency and angle as well as hill width on the surface motion of the hill was discussed by numerical examples. It was shown that, a hill greatly amplifies incident plane SV waves, and the maximal amplification may reach 4 times of that for free-field response; and for incident waves of low frequency, the maximal displacement amplitudes emerge mostly at the half-space, however, for incident waves of high frequency, the maximal displacement amplitudes appear mostly at the hill. |
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| Keywords: | hill plane SV waves scattering surface motion analytical solution |
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