岩土力学 ›› 2024, Vol. 45 ›› Issue (5): 1446-1456.doi: 10.16285/j.rsm.2023.0852

• 基础理论与实验研究 • 上一篇    下一篇

竖井地基大应变非线性固结解析解

王亦炀,李传勋,李阔,陆向综   

  1. 江苏大学 土木工程与力学学院,江苏 镇江 212013
  • 收稿日期:2023-06-17 接受日期:2023-08-22 出版日期:2024-05-11 发布日期:2024-05-07
  • 通讯作者: 李传勋,男,1978年生,博士,教授,博士生导师,主要从事岩土工程方面的教学和科研工作。E-mail:lichuanxun@yeah.net
  • 作者简介:王亦炀,男,1999年生,硕士研究生,主要从事竖井排水固结方面的研究工作。E-mail:2222223023@stmail.ujs.edu.cn
  • 基金资助:
    国家自然科学基金项目(No. 42377183)。

Analytical solutions for large-strain nonlinear consolidation of soils with vertical drain

WANG Yi-yang, LI Chuan-xun, LI Kuo, LU Xiang-zong   

  1. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, Jiangsu 212013, Chin
  • Received:2023-06-17 Accepted:2023-08-22 Online:2024-05-11 Published:2024-05-07
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (42377183).

摘要: 已有的研究表明,高压缩性软土的大应变及非线性固结特性对其固结具有显著影响。但目前能同时考虑两者影响的竖井地基大应变非线性固结解析解还鲜见报道。考虑高压缩性软土在固结中的大变形特性,应用双对数压缩渗透非线性模型描述软土在固结中的压缩渗透特性变化,基于Gibson大应变固结理论,建立竖井地基大应变非线性固结模型并获得模型的解析解。将所获得的解析解与竖井地基大应变非线性固结数值解及特定工况下小应变线性固结解析解进行对比,以验证所获解析解的可靠性。在此基础上,通过大量计算对不同工况下竖井地基非线性固结性状开展分析。结果表明:压缩指数Ic为定值时竖井地基固结速率随参数α 减小而增大。α 保持不变时竖井地基固结速率随Ic减小而增大。压缩渗透参数保持不变时,竖井地基固结速率随着外荷载的增大而加快,随着井径比增大而减慢。将所获解析解应用于深港西部通道口岸区填海地基处理的工程计算,表明理论计算的沉降曲线与实测曲线较为吻合,说明了所获解析解的工程可应用性。

关键词: 竖井地基, 非线性, 大应变, 变荷载, 解析解

Abstract: The large strain and nonlinear consolidation characteristics of soft soils with high compressibility have obvious effects on their consolidation, but few analytical solutions for large-strain nonlinear consolidation of soils with vertical drains have been reported in the literature. By considering the large deformation characteristics of soft soils with high compressibility during consolidation, a large-strain nonlinear consolidation model of soils with vertical drains is developed and an analytical solution for this consolidation model is obtained based on Gibson’s large deformation consolidation theory, in which a double logarithmic nonlinear compressibility and permeability model is adopted to describe the variation of the compressibility and permeability of soft soils. The proposed analytical solutions are compared with the numerical solutions of large-strain nonlinear consolidation of soils with vertical drains and the analytical solutions of small-strain linear consolidation under specific conditions to verify its reliability. On this basis, the nonlinear consolidation properties of soils with vertical drains under different conditions are analyzed by extensive calculations. The results show that the consolidation rate increases with decreasing the permeability parameter α , when the compression index Ic, keeps constant. The consolidation rate increases with decreasing the compression index Ic, when the permeability parameter α  remains constant. The consolidation rate of soils with vertical drains increases with an increase in external load, and decrease with an increase in the ratio of influential zone radius to vertical drain radius when the compressibility and permeability parameters remain constant. Finally, the proposed analytical solution is applied to the reclaimed foundation treatment project of Shenzhen Western Corridor boundary control point(BCP). The settlement curve calculated by proposed solutions is in good agreement with the measured curve, which further illustrates the engineering applicability of the proposed analytical solution.

Key words: soils with vertical drains, nonlinearity, large strain, time-dependent loading, analytical solution

中图分类号: 

  • TU 470
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