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平面波入射下深水地基场地动力响应分析

张奎, 李伟华, 赵成刚

张奎, 李伟华, 赵成刚. 平面波入射下深水地基场地动力响应分析[J]. 岩土工程学报, 2018, 40(6): 1066-1074. DOI: 10.11779/CJGE201806012
引用本文: 张奎, 李伟华, 赵成刚. 平面波入射下深水地基场地动力响应分析[J]. 岩土工程学报, 2018, 40(6): 1066-1074. DOI: 10.11779/CJGE201806012
ZHANG Kui, LI Wei-hua, ZHAO Cheng-gang. Dynamic responses of an underwater site subjected to plane P- or SV-wave incidence[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(6): 1066-1074. DOI: 10.11779/CJGE201806012
Citation: ZHANG Kui, LI Wei-hua, ZHAO Cheng-gang. Dynamic responses of an underwater site subjected to plane P- or SV-wave incidence[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(6): 1066-1074. DOI: 10.11779/CJGE201806012

平面波入射下深水地基场地动力响应分析  English Version

基金项目: 国家重点基础研究发展计划(“973”计划)项目(2015CB0578000); 国家自然科学基金项目(51378058); 中央高校基本科研业务费专项项目(2015JBZ008)
详细信息
    作者简介:

    张 奎(1989- ),男,博士研究生,主要从事岩土地震工程方面的研究。E-mail: zhangkui@bjtu.edu.cn。

    通讯作者:

    李伟华,E-mail:whli@bjtu.edu.cn

Dynamic responses of an underwater site subjected to plane P- or SV-wave incidence

  • 摘要: 建立了深水地基场地分析模型,基于单相弹性介质、Biot流体饱和多孔介质和理想流体弹性波动理论,分别推导了平面P波或SV波入射时该深水地基场地波动问题的解析解,并得到水下地层表面位移的表达式,分析了土的刚度、饱和度及入射角等因素变化时水深对场地位移响应的影响。结果表明:水深对水平位移峰值的影响较小,而共振频率随着水深的增加而增大;竖向位移峰值和共振频率并不随水深的增加而单调增加;同一水深下,饱和土层的刚度越小,水平及竖向位移峰值越大,共振频率越小;与完全饱和相比,土层饱和度的微小变化会使竖向位移峰值显著增大,共振频率减小,但水平位移峰值和共振频率基本上不受饱和度的影响;在基本频率下,当P波作用时,水深对水平位移的影响随着入射角增加先增加后减小,有水时在不同入射角下水深对竖向位移的影响较小;当SV波入射和有水条件下,对于不同的入射角水平位移均随着水深的增加而减小,在入射角35°到45°范围内竖向位移随着水深的增加而减小,除此范围外水深对竖向位移的影响较小。
    Abstract: The displacement responses of an underwater site due to plane P- or SV-wave incidence are studied. The site consists of a water layer and a saturated soil deposit overlying bedrock. Based on the wave propagation theory in single-phase elastic medium, fluid saturated porous medium and ideal fluid, the displacement formula at the interface between water and soil is developed. The effect of water depth on the displacement response is explored by a numerical example in the case of different stiffnesses and saturation degrees of the soil deposit and incident angle of plane waves. The results show that the peak value of horizontal displacement has little change with water depth. However, the resonance frequency increases with water depth. The peak value and resonance frequency of vertical displacement do not increase with water depth monotonically. For the horizontal and vertical displacements, the peak value increases and the resonance frequency decreases with the soil stiffness at the same water depth. Compared with the full saturation, a slight decrease in the saturation can obviously amplify the peak value and decrease the resonant frequency of vertical displacement. The peak value and resonance frequency of horizontal displacement are hardly affected by soil saturation. At the fundamental frequency of the site, under incident plane P-waves, the horizontal displacement increases firstly and then decreases with the increase of incident angle in the presence of water layer, and the water depth has little effect on the vertical displacement with different incident angles. In the presence of SV-wave incidence and water layer, the horizontal displacement decreases with the increase of water depth with different incident angles, and the vertical displacement decreases with the increase of water depth within the range of the incident angle of 35°to 45°, however, the water depth has little effect on the vertical displacement beyond the range.
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出版历程
  • 收稿日期:  2017-03-26
  • 发布日期:  2018-06-24

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