| 瑞雷波斜入射下层状半空间中沉积谷地周围的三维散射研究 |
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| 引用本文： | 巴振宁,梁建文.瑞雷波斜入射下层状半空间中沉积谷地周围的三维散射研究[J].地震学报,2014,36(4):571-583. |
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| 作者姓名： | 巴振宁 梁建文 |
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| 作者单位： | 1.中国天津 300072 天津大学土木工程系 |
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| 基金项目： | 国家自然科学基金(50908156);天津市应用基础及前沿技术研究计划(12JCQNJC04700)共同资助 |
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| 摘 要： | 针对层状半空间中沉积谷地对斜入射瑞雷波的三维散射问题， 采用直接刚度法计算自由场波场， 以层状半空间中移动斜线均布荷载动力格林影响函数求解三维散射波场， 建立了求解该问题的间接边界元方法. 通过与已有结果的比较， 验证了该方法的正确性， 并以均匀半空间以及弹性基岩上单一土层场地中沉积谷地为例进行了计算分析. 研究结果表明: 层状半空间与均匀半空间中沉积谷地对瑞雷波的散射存在显著差别； 层状半空间中瑞雷波的振动模态对沉积附近位移幅值有着重要影响； 土层刚度和厚度等参数也对沉积附近位移幅值大小及空间分布有着显著的影响.
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| 关 键 词： | 三维散射 沉积谷地 瑞雷波 移动格林函数 层状半空间 |
| 收稿时间： | 2013-05-17 |
3D scattering by an alluvial valley embedded in a layered half-space for obliquely incident Rayleigh waves |
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| Institution: | 1.Department of Civil Engineering, Tianjin University, Tianjin 300072, China2.Tianjin Key Laboratory of Civil Engineering Structure and New Materials, Tianjin 300072, China |
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| Abstract: | Aiming at solving the problem of 3D scattering by an alluvial valley embedded in a layered half-space, the indirect boundary element method (IBEM) is established based on the free wave field calculated by using the direct stiffness method, and 3D scattering wave field simulated by using the Green’s functions of moving distributed loads in the layered half-space. The method is validated by comparison with known results, and numerical analyses are performed by examples of a valley embedded in a uniform half-space and in a single soil layer over elastic bedrock. The results show that the wave scattering around the valley embedded in a uniform half-pace are distinctively different from that in a layered half-space, the modals of the Rayleigh waves in a layered half-space have important effects on the displacement amplitudes around the valley, and also the stiffness and depth of the soil layer have important influence on the amplitudes and distribution of the displacement. |
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