SH波入射下圆弧状沉积盆地地震反应瞬态解析解计算

任朋; 陈三红; 张郁山

doi:10.11899/zzfy20210214

SH波入射下圆弧状沉积盆地地震反应瞬态解析解计算

doi: 10.11899/zzfy20210214

1.
中国地震局地球物理研究所，北京 100081
2.
中国地震灾害防御中心，北京 100029

基金项目: 国家重点研发计划子专题：基于人工智能方法的地震动场构建技术研究（2019YFC1509402-01A）；地震科技星火计划项目：SV波斜入射下成层场地的时域非线性地震反应分析研究（XH21049Y）

详细信息

作者简介:
任朋，男，生于1995年。硕士研究生。主要从事地震工程研究。E-mail：pren@cea-igp.ac.cn

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出版历程
- 收稿日期: 2021-01-18
- 刊出日期: 2021-06-30

Analytical Solution to Transient Response of Arc-shaped Basin Incident by SH Wave

1.
Institute of Geophysics, China Earthquake Administration, Beijing 100081, China
2.
China Earthquake Disaster Prevention Center, Beijing 100029, China

摘要

摘要: 地震波散射问题的解析解是研究局部场地、地形、盆地等不规则地层结构对地震动参数放大效应影响的重要理论工具。现有解析解大部分在频域内给出，无法直接用于研究不规则地层结构对地震动峰值、反应谱等参数的放大效应。本文基于平面SH波入射下圆弧状沉积盆地动力响应宽频带稳态解析解，通过Fourier变换，获取瞬态响应解析解。基于此，研究El Centro波入射下，沉积盆地对地震动峰值加速度、峰值速度、峰值位移及不同周期反应谱的放大效应。研究结果表明，盆地宽度和深度、沉积介质波速、入射波角度等对盆地放大效应具有显著影响，地震动反应谱谱比最大值超过2.0，且宽度达10 km的较大型盆地对长周期地震动参数具有显著放大效应，对于位于该类盆地的超高层建筑、大型储液罐、大跨度桥梁等长周期结构，应充分考虑盆地对抗震设防参数的影响。
- 平面SH波 /
- 盆地 /
- 解析解 /
- 反应谱 /
- 长周期
Abstract: Analytical solution to scattering problem of seismic waves is an important tool to study amplification effects induced by irregular surficial earth structures, such as local site, topography, and basin, on ground motion. However, most analytical solutions are presented in frequency domain, and cannot be applied directly to probe the amplification effects of such irregularities on the peaks and response spectra of ground motion. In this paper, based on the stationary broad-band analytical solution for the dynamic response of arc-shaped basin incident by SH wave, presented in this paper is the transient analytical solution for the out-plane dynamic response of arc-shaped basin is derived.. From the transient solutions, studied are the amplification effects of alluvial basin on peak ground acceleration, velocity, displacement, and spectral accelerations at different natural periods are studied. The results reveal that the width, depth, and shear velocity of alluvium significantly influence the amplification effects of basin on ground motion, and the maximum value of spectral ratio of ground-motion response spectrum exceeds 2.0. Furthermore, as to large basin with the width to 10 km, it imposes significant influence on long-period ground motion. Therefore, the aseismic design of long-period structures located in large basins, such as high-rise building, large-scale fluid reservoir, and long-span bridge, should take into account of the effects of basin on the design ground motion parameters.
- Plane SH wave /
- Basin /
- Analytical solution /
- Response Spectrum /
- Long period

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图 1 沉积盆地模型

Figure 1. Model of alluvium basin

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图 2 自由基岩、盆地中心点和边界点地震动加速度时程曲线

Figure 2. The time history curve of ground motion acceleration of free bedrock, central point and boundary point of basin

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图 3 自由基岩、盆地中心点和边界点地震动速度时程曲线

Figure 3. The time history curve of ground motion velocity of free bedrock, central point and boundary point of basin

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图 4 自由基岩、盆地中心点和边界点地震动位移时程曲线

Figure 4. The time history curve of ground motion displacement of free bedrock, central point and boundary point of basin

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图 5 垂直入射下盆地地表地震动反应谱谱比曲线簇

Figure 5. The spectral ratio curve cluster of ground motion response spectrum under vertical incidence

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图 6 不同入射角下地震动参数放大系数空间变化曲线

Figure 6. The spatial variational curve of ground motion parameters amplification factor at different incident angles

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图 7 地震动峰值放大系数与盆地宽度关系曲线

Figure 7. The relationship curve between the peak amplification factor of ground motion and the width of basin

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图 8 盆地宽度对其放大效应的影响

Figure 8. The effect of basin width on its amplification

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图 9 不同盆地宽度条件下深度对地震动放大系数的影响

Figure 9. The effect of depth on ground motion amplification factor under different basin widths

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图 10 盆地沉积介质的剪切波速对地震动放大系数的影响

Figure 10. The effect of shear wave velocity of alluvium medium on ground motion amplification factor in basin

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参考文献(14)

[1]	李伟华, 赵成刚, 2004. 饱和土沉积谷场地对平面SV波的散射问题的解析解. 地球物理学报, 47(5): 911—919. doi: 10.3321/j.issn:0001-5733.2004.05.025 Li W. H., Zhao C. G., 2004. Scattering of plane SV waves by circular-arc alluvial valleys with saturated soil deposits. Chinese Journal of Geophysics, 47(5): 911—919. (in Chinese) doi: 10.3321/j.issn:0001-5733.2004.05.025
[2]	梁建文, 严林隽, 李军伟等, 2001. 圆弧形沉积河谷场地在平面P波入射下的响应. 岩土力学, 22(2): 138—143. doi: 10.3969/j.issn.1000-7598.2001.02.005 Liang J. W., Yan L. J., Li J. W., et al., 2001. Response of circular-arc alluvial valleys under incident plane P waves. Rock and Soil Mechanics, 22(2): 138—143. (in Chinese) doi: 10.3969/j.issn.1000-7598.2001.02.005
[3]	梁建文, 严林隽, 秦东等, 2003. 圆弧形沉积河谷场地在平面SV波入射下的动力响应. 土木工程学报, 36(12): 74—82. doi: 10.3321/j.issn:1000-131X.2003.12.013 Liang J. W., Yan L. J., Qin D., et al., 2003. Dynamic response of circular-arc sedimentary valley site under incident plane SV waves. China Civil Engineering Journal, 36(12): 74—82. (in Chinese) doi: 10.3321/j.issn:1000-131X.2003.12.013
[4]	梁建文, 张秋红, 李方杰, 2006. 浅圆沉积谷地对瑞雷波的散射—高频解. 地震学报, 28(2): 176—182. doi: 10.3321/j.issn:0253-3782.2006.02.008 Liang J. W., Zhang Q. H., Li F. J., 2006. Scattering of Rayleigh waves by a shallow circular alluvial valley: high-frequency solution. Acta Seismologica Sinica, 28(2): 176—182. (in Chinese) doi: 10.3321/j.issn:0253-3782.2006.02.008
[5]	梁建文, 魏新磊, Lee V. W., 2009a. 圆弧形沉积谷地对平面SV波三维散射解析解. 岩土工程学报, 31(9): 1345—1353. Liang J. W., Wei X. L., Lee V. W., 2009a. 3D scattering of plane SV waves by a circular-arc alluvial valley. Chinese Journal of Geotechnical Engineering, 31(9): 1345—1353. (in Chinese)
[6]	梁建文, 魏新磊, Lee V. W., 2009b. 圆弧形沉积谷地对Rayleigh波三维散射解析解. 天津大学学报, 42(1): 24—34. Liang J. W., Wei X. L., Lee V. W., 2009b. Analytical solution for 3D scattering of rayleigh waves by a circular-arc alluvial valley. Journal of Tianjin University, 42(1): 24—34. (in Chinese)
[7]	梁建文, 魏新磊, Lee V. W., 2010. 圆弧形沉积谷地对平面P波的三维散射解析解. 岩土力学, 31(2): 461—470. doi: 10.3969/j.issn.1000-7598.2010.02.022 Liang J. W., Wei X. L., Lee V. W., 2010. 3-D scattering of plane P waves by a circular-arc alluvial valley. Rock and Soil Mechanics, 31(2): 461—470. (in Chinese) doi: 10.3969/j.issn.1000-7598.2010.02.022
[8]	张郁山, 2010. 圆弧状沉积谷地在平面SH波入射下的动力响应. 岩土工程学报, 32(1): 1—6. Zhang Y. S., 2010. Dynamic response of arc-layered alluvial valley under incidence of plane SH waves. Chinese Journal of Geotechnical Engineering, 32(1): 1—6. (in Chinese)
[9]	Abramowitz M., Stegun I. A., 1972. Handbook of mathematical functions with formulas, graphs and mathematical tables. New York: Dover Publication.
[10]	Li W. H., Zhao C. G., Shi P. X., 2005. Scattering of plane P waves by circular-arc alluvial valleys with saturated soil deposits. Soil Dynamics and Earthquake Engineering, 25(12): 997—1014. doi: 10.1016/j.soildyn.2004.10.010
[11]	Todorovska M. I., Lee V. W., 1991. Surface motion of shallow circular alluvial valleys for incident plane SH waves-analytical solution. Soil Dynamics and Earthquake Engineering, 10(4): 192—200. doi: 10.1016/0267-7261(91)90033-V
[12]	Trifunac M. D., 1971. Surface motion of a semi-cylindrical alluvial valley for incident plane SH waves. Bulletin of the Seismological Society of America, 61(6): 1755—1770.
[13]	Wong H. L., Trifunac M. D., 1974. Surface motion of a semi-elliptical alluvial valley for incident plane SH waves. Bulletin of the Seismological Society of America, 64(5): 1389—1408.
[14]	Yuan X. M., Liao Z. P., 1995. Scattering of plane SH waves by a cylindrical alluvial valley of circular-arc cross-section. Earthquake Engineering & Structural Dynamics, 24(10): 1303—1313.