| 圆弧状凹陷地形对平面SV波散射问题的宽频带解析解 |
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| 引用本文： | 钟慧,张郁山.圆弧状凹陷地形对平面SV波散射问题的宽频带解析解[J].中国地震,2010,26(2). |
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| 作者姓名： | 钟慧 张郁山 |
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| 作者单位： | 北京大学地球与空间科学学院;中国地震灾害防御中心; |
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| 基金项目： | 国家自然科学基金，国家科技支撑计划项目 |
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| 摘 要： | 利用波函数的Fourier-Bessel级数展开法,推导了具有不同深宽比的圆弧状凹陷地形对入射平面SV波二维散射问题的解析解。区别于现有其他解析解,利用柱函数的渐近性质,使得散射波的待定系数得以直接确定,避免了线性方程组的求解以及相应的高频波入射下的数值计算问题,从而拓展了解析解适用的频带范围。通过与已有解析解的比较论证了该解析解的正确性,并在一个较宽的频带范围内研究了圆弧状凹陷地形对入射平面SV波的散射效应。
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| 关 键 词： | 平面SV波 凹陷地形 散射 解析解 场地效应 |
Broad-frequency-band analytical solution to scattering of plane SV wave by arc-shaped canyon topography |
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| Zhong Hui,Zhang Yushan.Broad-frequency-band analytical solution to scattering of plane SV wave by arc-shaped canyon topography[J].Earthquake Research in China,2010,26(2). |
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| Authors: | Zhong Hui Zhang Yushan |
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| Institution: | Zhong Hui1,2) Zhang Yushan2) 1) School of Earth and Space Sciences,Peking University,Beijing 100871,China 2) China Earthquake Disaster Prevention Center,Beijing 100029,China |
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| Abstract: | By representing the wave functions by Fourier-Bessel series,it deducts an analytical solution to the two-dimensional scattering problem of incident plane SV wave by arc-shaped canyon topographies with different depth-to-width ratios. Different from other analytical solutions,the proposed one utilizes the asymptotic properties of cylindrical functions to directly solve out the undetermined coefficients of scattering waves,avoiding the solution of linear equation system and the corresponding numerical issues ... |
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| Keywords: | Plane SV wave Canyon topography Scattering Analytical solution Site effects |
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