岩土力学 ›› 2025, Vol. 46 ›› Issue (7): 2160-2172.doi: 10.16285/j.rsm.2024.1237CSTR: 32223.14.j.rsm.2024.1237

• 基础理论与实验研究 • 上一篇    下一篇

基于非线性井阻的饱和软弱土无砂增压式真空预压分析方法

倪睿思1,肖世国1,吴兵2,梁瑶2   

  1. 1.西南交通大学 土木工程学院,四川 成都 610031;2.四川省交通勘察设计研究院有限公司,四川 成都 610017
  • 收稿日期:2024-10-09 接受日期:2025-01-11 出版日期:2025-07-10 发布日期:2025-07-09
  • 通讯作者: 肖世国,男,1973年生,博士,教授,博士生导师,主要从事路基工程和基础工程研究。E-mail: xiaoshiguo@swjtu.cn
  • 作者简介:倪睿思,女,2000年生,硕士研究生,主要从事地基基础及路基工程研究。E-mail: niruisi123@foxmail.com
  • 基金资助:
    四川省交通勘察设计研究院有限公司资助科技项目(No.232022009);国家自然科学基金资助项目(No.51578466)。

Analytical solution for consolidation of saturated soft clay under vacuum preloading with non-sand drainage system considering nonlinear drain resistance

NI Rui-si1, XIAO Shi-guo1, WU Bing2, LIANG Yao2   

  1. 1. School of Civil Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, China; 2. Sichuan Transportation Survey and Design Co., Ltd., Chengdu, Sichuan 610017, China
  • Received:2024-10-09 Accepted:2025-01-11 Online:2025-07-10 Published:2025-07-09
  • Supported by:
    This work was supported by the Program of Sichuan Communication Surveying & Design Institute Co., Ltd. (232022009) and the National Natural Science Foundation of China (51578466).

摘要: 针对无砂增压式真空预压的特点,充分考虑排水板井阻的时空非线性变化特性、增压荷载与增压管长度的关系等要素,建立了以增压管为中心的非理想井径向渗流计算单元模型,推导出非齐次偏微分控制方程。基于Sturm-Liouville本征理论,利用本征函数展开法求解得到超静孔压的解析解,并针对增压常载、后期增压常载及后期间歇式增压等3种典型实际增压模式,分别给出了地基超静孔压和平均固结度的解析表达式。实例分析表明,超静孔压随着增压管长度增大而增大,沿深度始终呈逐渐增大的非线性分布模式;开启增压后超静孔压瞬时增大,尤其地基中下部增加明显,其后消散速度也增大;增压总时长对地基固结度影响较为显著,增压荷载为20、40 kPa时,总时长为100 d比50 d的固结度分别可提高约8%、9%。

关键词: 饱和软弱土, 增压式真空预压, 排水固结, 超静孔隙水压力, 固结度

Abstract: Based on the basic characteristics of the sand-free air-boosted vacuum preloading, a radial seepage calculation unit model centered on the booster pipe, which is a non-ideal well, is established, taking into account the spatiotemporal nonlinear characteristics of the well resistance of drainage plates and the relationship between the booster load and its pipe length. The nonhomogeneous partial differential control equations are consequently derived. According to the Sturm-Liouville eigentheory, the analytical solution to the excessive pore water pressure is obtained using the eigenfunction expansion method. Further, analytical expressions for calculating the excessive pore water pressure and the average consolidation degree of the foundation are provided under three typical practical pressurization modes, including constant pressurization loading, constant pressurization loading in the later stage, and intermittent pressurization in the later stage, respectively. Some examples show that the excessive pore water pressure increases as the length of the pressurized pipe increases, and always shows a nonlinear distribution that gradually increases with depth. After the pressurization is initiated, the excessive pore water pressure increases instantaneously, with a more pronounced increase in the middle and lower parts of the foundation, and subsequently, its dissipation rate also increases. The total pressurization duration has a significant impact on the consolidation degree of the foundation. When the pressurization loads are 20 kPa and 40 kPa, the consolidation degrees increase by approximately 8% and 9%, respectively, for a total pressurization duration of 100 d compared to 50 d.

Key words: saturated soft soil, air-booster vacuum preloading, drained consolidation, excessive pore water pressure, consolidation degree

中图分类号: TU 441
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