坡地地形对地震动特性的影响分析

郝明辉; 张郁山; 赵凤新

doi:10.11899/zzfy20210201

坡地地形对地震动特性的影响分析

doi: 10.11899/zzfy20210201

中国地震灾害防御中心，北京 100029

基金项目: 国家重点研发计划（2018YFC1504601）；中央级公益性科研院所基本科研业务专项（ZDJ2020-09）

详细信息

作者简介:
郝明辉，女，生于1983年。高级工程师。主要从事复杂场地地形效应、结构抗震方面的研究。E-mail：minghuimail@126.com

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出版历程
- 收稿日期: 2021-01-29
- 刊出日期: 2021-06-30

Analysis of Slope Terrain Effect on the Properties of Ground Motion

China Earthquake Disaster Prevention Center, Beijing 100029, China

摘要

摘要: 采用有限元有限差分方法，结合人工透射边界理论，研究局部坡地地形对地震动特性的影响，分析坡高、坡角对地形放大效应的影响。研究结果表明：坡地地形斜坡段各点反应谱谱比最大值沿坡高逐渐增大，坡脚点对地震动反应谱谱比呈缩小效应；坡底段各点反应谱谱比接近1；坡起平台段空间点受地形效应的影响较大；坡高和坡角对地形效应的影响较明显，当坡角不变时，不同坡高反应谱谱比曲线形状基本相同，峰值点对应的特征周期随着坡高的增加呈增长趋势，峰值点对应的反应谱谱比随着坡高的增加呈增大趋势，斜坡顶点阿里亚斯烈度比值在地形坡高超过一定数值后随着坡高的增加呈增大趋势；当坡高不变时，大部分频段内反应谱谱比最大值随着坡角的增加逐渐增大，斜坡顶点阿里亚斯烈度比值在坡角达到一定数值后随着坡角的增加呈增大趋势。
- 地形效应 /
- 坡地 /
- 反应谱谱比 /
- 坡高 /
- 坡角 /
- 阿里亚斯烈度
Abstract: Based on the finite element finite difference method and the theory of artificial transmission boundary, the influence of local slope terrain on ground motion characteristics (including response spectrum, peak acceleration, peak velocity, peak displacement and arias intensity) is studied, and the influence of slope height and slope angle on ground shape amplification effect is analyzed. The results show that: the maximum response spectrum ratio of each point on the slope section of slope terrain gradually increases along the slope height, and the maximum value is not more than 1.3; the slope toe point has a narrowing effect on the response spectrum ratio of ground motion; the spectrum ratio of each point on the bottom section of slope is close to 1; the spatial point on the platform section is greatly affected by the terrain effect, and gradually decreases with the distance from the top of slope. The height and slope angle of slope terrain have obvious influence on terrain effect. When the slope angle is constant, the shape of the spectral ratio curve of different slope heights is basically the same, the characteristic period corresponding to the peak point increases with the increase of height, and the spectral ratio corresponding to the peak point also increases with the increase of height. When the terrain height exceeds a certain value, the ratio of arias intensity at the top of slope increases with the increase of height; when the slope height is constant, the maximum value of response spectrum ratio in most frequency bands also increases with the increase of slope angle. And the ratio of arias intensity at the top of the slope increases with the increase of the slope after reaching a certain slope angle.
- Terrain effect /
- Slope terrain /
- Response spectrum ratio /
- Terrainheight /
- Terrain slope /
- Arias intensity

HTML全文

图 1 局部坡地模型

Figure 1. A model with local terrain

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图 2 输入地震动时程曲线

Figure 2. Acceleration, velocity and displacement curves of artificial ground motion samples

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图 3 数值解与理论解比较

Figure 3. Comparison of viscous-elastic boundary calculated results with the theoretical solution

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图 4 坡底段地表点反应谱谱比曲线

Figure 4. Spectral ratio chart of surface point on bottom

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图 5 斜坡段地表点反应谱谱比曲线

Figure 5. Spectral ratio chart of surface point on the slope

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图 6 平台段地表点反应谱谱比曲线

Figure 6. Spectral ratio chart of the surface point on the platform

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图 7 斜坡顶点反应谱谱比随坡高变化曲线

Figure 7. Spectral ratio curve of the vertex with different heights

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图 8 斜坡脚点反应谱谱比随坡高变化曲线

Figure 8. Spectral ratio curve of the Slope toe with different heights

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图 9 不同周期点处斜坡顶点反应谱谱比随坡高变化曲线

Figure 9. Variation curve of slope peak spectral ratio with height at different periodic points

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图 10 斜坡顶点阿里亚斯烈度比值随坡高变化曲线

Figure 10. Curve of arias intensity ratio with height at the top of slope

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图 11 地表点阿里亚斯烈度比值

Figure 11. Arias intensity ratio map of surface points

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图 12 不同坡角对应的斜坡顶点的反应谱谱比曲线

Figure 12. Spectral ratio curve of the vertex with different slopes

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图 13 不同周期点处反应谱谱比随坡角变化曲线

Figure 13. Variation curve of slope peak spectral ratio with slope at different periodic points

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图 14 斜坡顶点阿里亚斯烈度比值随坡角变化曲线

Figure 14. Curve of arias intensity ratio with slope at the top of slope

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参考文献(19)

[1]	巴振宁, 陈昊维, 梁建文, 2018. 任意多个沉积谷地对平面SV波的散射. 振动与冲击, 37(5): 98—107 Ba Z. N., Chen H. W., Liang J. W., 2018. Scattering of arbitrary alluvial valleys to incident plane SV waves. Journal of Vibration and Shock, 37(5): 98—107. (in Chinese)
[2]	郝明辉, 张郁山, 2014. 凸起地形对地震动特性的影响. 地震学报, 36(5): 883—894 Hao M. H., Zhang Y. S., 2014. Analysis of terrain effect on the properties of ground motion. Acta Seismologica Sinica, 36(5): 883—894. (in Chinese)
[3]	郝明辉, 张郁山, 2019. 基于DEM数据的地形效应经验预测模型研究. 土木工程学报, 52(2): 86—96 Hao M. H., Zhang Y. S., 2019. Research on empirical prediction model of terrain effects based on DEM. China Civil Engineering Journal, 52(2): 86—96. (in Chinese)
[4]	蒋涵, 周红, 高孟潭, 2015. 三维地形中地震动的频域特征——以芦山地区为例. 震灾防御技术, 10(1): 59—67 doi: 10.11899/zzfy20150106 Jiang H., Zhou H., Gao M. T., 2015. The characteristics of frequency domain of ground motion in 3-D topography-A case study of Lushan area. Technology for Earthquake Disaster Prevention, 10(1): 59—67. (in Chinese) doi: 10.11899/zzfy20150106
[5]	李家祥, 温瑞智, 刘启方等, 2021. SH波垂直入射下的斜坡地形放大因子分析. 世界地震工程, 37(1): 176—188 Li J. X., Wen R. Z., Liu Q. F., et al., 2021. Amplification factor analysis of slope topography under normal incidence of SH wave. World Earthquake Engineering, 37(1): 176—188. (in Chinese)
[6]	李小军, 廖振鹏, 杜修力, 1992. 有阻尼体系动力问题的一种显式差分解法. 地震工程与工程振动, 12(4): 74—80 Li X. J., Liao Z. P., Du X. L., 1992. An explicit finite difference method for viscoelastic dynamic problem. Earthquake Engineering and Engineering Vibration, 12(4): 74—80. (in Chinese)
[7]	李英民, 王丽萍, 赵耀, 2010. 岩质坡地建筑设计水平地震动放大系数的确定. 地震工程与工程振动, 30(4): 159—165 Li Y. M., Wang L. P., Zhao Y., 2010. Amplification factors of design horizontal ground motions for structures on rock slopes. Journal of Earthquake Engineering and Engineering Vibration, 30(4): 159—165. (in Chinese)
[8]	李英民, 王肖巍, 宋维举, 2019. 动态子结构法在凸起地形地震动响应中的应用. 哈尔滨工业大学学报, 51(6): 156—161, 170 doi: 10.11918/j.issn.0367-6234.201805166 Li Y. M., Wang X. W., Song W. J., 2019. Application of dynamic substructure method to protruding topography on characteristics of ground motion. Journal of Harbin Institute of Technology, 51(6): 156—161, 170. (in Chinese) doi: 10.11918/j.issn.0367-6234.201805166
[9]	梁建文, 张郁山, 顾晓鲁等, 2003. 圆弧形层状凹陷地形对平面SH波的散射. 振动工程学报, 16(2): 158—165 doi: 10.3969/j.issn.1004-4523.2003.02.006 Liang J. W., Zhang Y. S., Gu X. L., et al., 2003. Scattering of plane SH waves by a circular-Arc layered canyon. Journal of Vibration Engineering, 16(2): 158—165. (in Chinese) doi: 10.3969/j.issn.1004-4523.2003.02.006
[10]	刘甲美, 高孟潭, 陈鲲, 2015. 地形效应影响下地震动参数与斜坡稳定性的相关性研究. 地震学报, 37(5): 865—874 doi: 10.11939/jass.2015.05.014 Liu J. M., Gao M. T., Chen K., 2015. On the correlation of ground motion parameters with slope stability incorporating topographic effects. Acta Seismologica Sinica, 37(5): 865—874. (in Chinese) doi: 10.11939/jass.2015.05.014
[11]	刘中宪, 张征, 王少杰等, 2019. 基于快速多极子间接边界元法的城市区域沉积盆地三维地震响应宽频模拟. 岩土力学, 40(10): 4101—4110 Liu Z. X., Zhang, Z., Wang, S. J., et al., 2019. 3D seismic response broadband-simulation of the alluvial basin in urban region based on the FMM-IBEM. Rock and Soil Mechanics, 40(10): 4101—4110. (in Chinese)
[12]	孙纬宇, 汪精河, 严松宏等, 2019. SV波斜入射下河谷地形地震动分布特征分析. 振动与冲击, 38(20): 237—243, 265 Sun W. Y., Wang J. H., Yan S. H., et al., 2019. Characteristic analysis of ground motions of a canyon topography under obliquely incident SV waves. Journal of Vibration and Shock, 38(20): 237—243, 265. (in Chinese)
[13]	殷跃平, 2008. 汶川八级地震地质灾害研究. 工程地质学报, 16(4): 433—444 doi: 10.3969/j.issn.1004-9665.2008.04.001 Yin Y. P., 2008. Researches on the geo-hazards triggered by Wenchuan Earthquake, Sichuan. Journal of Engineering Geology, 16(4): 433—444. (in Chinese) doi: 10.3969/j.issn.1004-9665.2008.04.001
[14]	袁晓铭, 廖振鹏, 1996. 任意圆弧形凸起地形对平面SH波的散射. 地震工程与工程振动, 16(2): 1—13 Yuan X M, Liao Z P, 1996. Scattering of plane SH waves by a cylindrical hill of circular-arc cross-section. Earthquake Engineering and Engineering Vibration, 16(2): 1—13. (in Chinese)
[15]	中华人民共和国住房和城乡建设部, 中华人民共和国国家质量监督检验检疫总局. 2010. GB 50011—2010 建筑抗震设计规范. 北京: 中国建筑工业出版社. Ministry of Housing and Urban-Rural Development of the People’s Republic of China (MOHURD), General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China. 2010. GB 50011—2010 Code for Seismic Design of Buildings. Beijing: China Architecture & Building Press. (in Chinese)
[16]	周国良, 李小军, 侯春林等, 2012. SV波入射下河谷地形地震动分布特征分析. 岩土力学, 33(4): 1161—1166 doi: 10.3969/j.issn.1000-7598.2012.04.029 Zhou G. L., Li X. J., Hou C. L., et al., 2012. Characteristic analysis of ground motions of canyon topography under incident SV seismic waves. Rock and Soil Mechanics, 33(4): 1161—1166. (in Chinese) doi: 10.3969/j.issn.1000-7598.2012.04.029
[17]	Ashford S. A., Sitar N., Lysmer J., et al., 1997. Topographic effects on the seismic response of steep slopes. Bulletin of the Seismological Society of America, 87(3): 701—709.
[18]	Boore D. M., 1972. A note on the effect of simple topography on seismic SH waves. Bulletin of the Seismological Society of America, 62(1): 275—284.
[19]	Borcherdt R. D., 1970. Effects of local geology on ground motion near San Francisco Bay. Bulletin of the Seismological Society of America, 60(1): 29—61.