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圆弧状多层沉积凹陷在平面SV波入射下的动力响应

陈三红, 张郁山

陈三红, 张郁山. 圆弧状多层沉积凹陷在平面SV波入射下的动力响应[J]. 岩土工程学报, 2017, 39(6): 1074-1081. DOI: 10.11779/CJGE201706013
引用本文: 陈三红, 张郁山. 圆弧状多层沉积凹陷在平面SV波入射下的动力响应[J]. 岩土工程学报, 2017, 39(6): 1074-1081. DOI: 10.11779/CJGE201706013
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CHEN San-hong, ZHANG Yu-shan. Dynamic responses of canyon with multiple arc-shaped layers under incidence of plane SV waves[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(6): 1074-1081. DOI: 10.11779/CJGE201706013
Citation: CHEN San-hong, ZHANG Yu-shan. Dynamic responses of canyon with multiple arc-shaped layers under incidence of plane SV waves[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(6): 1074-1081. DOI: 10.11779/CJGE201706013
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圆弧状多层沉积凹陷在平面SV波入射下的动力响应  English Version

  • 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: 地震行业科研专项项目（201408020）; 国家科技支撑项目（2012BAK15B01）
详细信息
    作者简介:

    陈三红(1994- ),女,硕士研究生,研究方向为地震工程学。E-mail：1561980175@qq.com。

    通讯作者:

    张郁山，E-mail：hyszhang@163.com

  • 中图分类号: P315.3

Dynamic responses of canyon with multiple arc-shaped layers under incidence of plane SV waves

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

摘要

    摘要
  • 摘要: 利用波函数的Fourier-Bessel级数展开法,推导了含任意多个圆弧状沉积层的凹陷地形在平面SV波入射下动力响应的解析解。通过与单一沉积凹陷条件下所得结果的比较,验证了该解析解计算结果的正确性。利用该解析解,研究了凹陷地形上覆沉积介质的成层性,包括沉积层的层数、排列顺序、以及软弱夹层的厚度和刚度等,对地面运动的影响效应。
    Abstract: By using the Fourier-Bessel series expansion of wave function, obtained is the analytical solution to the dynamic responses of canyon with multiple arc-shaped alluvial layers under the incidence of plane SV waves. Comparison of the results of single-layered canyon validates the rightness of the proposed analytical solution. From this analytical solution, the layering effects, such as the number of layers, their sequence and the stiffness and thickness of soft interlayers, of the overlying alluvia on the ground motion are studied.
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    • 参考文献(13)
  • [1] 尤红兵, 梁建文, 赵凤新. 饱和层状场地中任意凹陷地形对入射P波的散射[J]. 岩土工程学报, 2008, 30(6): 840-849. (YOU Hong-bing, LIANG Jian-wen, ZHAO Feng-xin. Scattering of P waves by canyons of arbitrary shape in fluid-saturated poroelastic layered half-space[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(6): 840-849. (in Chinese))
    [2] 刘中宪, 梁建文, 赵瑞斌. 流体饱和层状半空间中沉积谷地对地震波的散射-IBIEM求解[J]. 岩土工程学报, 2013, 35(3): 512-522. (LIU Zhong-xian, LIANG Jian-wen, ZHAO Rui-bin. Indirect boundary integral equation method for solving scattering of seismic waves by an alluvial valley in fluid poroelastic layered half-space[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(3): 512-522. (in Chinese))
    [3] 张楚汉, 赵崇斌. 河谷形态对平面SH波散射的影响[J]. 岩土工程学报, 1990, 12(1): 1-11. (ZHANG Chu-han, ZHAO Chong-bin. Effects of canyon shape on plane SH wave scatterings[J]. Chinese Journal of Geotechnical Engineering, 1990, 12(1): 1-11. (in Chinese))
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    [5] TRIFUNAC M D. Scattering of plane SH waves by a semi-cylindrical canyon[J]. Earthq Engng Struct Dyn, 1973(1): 267-281.
    [6] WONG H L, TRIFUNAC M D. Scattering of plane SH-waves by a semi-elliptical canyon[J]. Earthq Engng Struct Dyn, 1974, 3: 157-169.
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    [9] CAO H, LEE V W. Scattering and diffraction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio[J]. Soil Dyna Earthq Engng, 1990, 9: 141-150.
    [10] 梁建文, 严林隽, LEE V W. 圆弧形凹陷地形表面覆盖层对入射平面SV波的影响[J]. 地震学报, 2001, 23(6): 622-636. (LIANG Jian-wen, YAN Lin-jun, LEE V W. Effects of a covering layer in a circular-arc canyon on incident plane SV waves[J]. ACTA Seismologica Sinica, 2001, 23(6): 622-636. (in Chinese))
    [11] 梁建文, 张郁山, 顾晓鲁, 等. 圆弧形层状凹陷地形对平面SH波的散射[J]. 振动工程学报, 2003, 16(2): 158-165. (LIANG Jian-wen, ZHANG Yu-shan, GU Xiao-lu, et al. Scattering of plane SH waves by a circular-arc layered canyon[J]. Journal of Vibration Engineering, 2003, 16(2): 158-165. (in Chinese))
    [12] LI W H, ZHAO C G. Scattering of plane SV waves by cylindrical canyons in saturated porous medium[J]. Soil Dyn Earthq Engrg, 2005, 25: 981-995.
    [13] ZHANG Y S. Scattering of plane P waves by canyons containing multiple circular-arc-shaped layers[J]. Earthq Sci, 2010, 23: 157-165.
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出版历程
  • 收稿日期:  2016-03-06
  • 发布日期:  2017-06-24

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