›› 2016, Vol. 37 ›› Issue (6): 1613-1622.doi: 10.16285/j.rsm.2016.06.011

• 基础理论与实验研究 • 上一篇    下一篇

砂墙地基二维固结自由应变解

李 赞1, 2,雷国辉1, 2,付崔伟1, 2   

  1. 1. 河海大学 岩土力学与堤坝工程教育部重点实验室,江苏 南京 210098;2. 河海大学 岩土工程研究所,江苏 南京 210098
  • 收稿日期:2014-10-10 出版日期:2016-06-13 发布日期:2018-06-09
  • 通讯作者: 雷国辉,男,1972年生,博士,教授,主要从事土力学与地基基础工程教学与科研工作。E-mail: leiguohui@hhu.edu.cn E-mail:lizan857689337@163.com
  • 作者简介:李赞,男,1989年生,博士研究生,主要从事软土地基处理方面的研究工作。
  • 基金资助:

    国家自然科学基金项目资助(No.51278171);中央高校基本科研业务费专项资金资助(No.2014B04914,No.2015B06014,No.2015B25914)。

Free-strain solutions for two-dimensional consolidation with a sand-wall drain

LI Zan1, 2, LEI Guo-hui1, 2, FU Cui-wei1, 2   

  1. 1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, China; 2. Geotechnical Research Institute, Hohai University, Nanjing, Jiangsu 210098, China
  • Received:2014-10-10 Online:2016-06-13 Published:2018-06-09
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51278171) and the Fundamental Research Funds for the Central Universities of China (2014B04914, 2015B06014, 2015B25914).

摘要: 将含竖向排水体地基的三维固结变形问题等效为平面应变问题进行数值分析时,砂墙地基二维固结解析解答是合理确定其等效固结计算参数的重要依据。为辨析现有砂墙地基等应变固结近似解答的适用性,针对微单元土体严格的二维固结微分方程,考虑对地基固结有重要影响的井阻作用,以及涵盖完全透水和不完全透水的更一般边界面排水条件,推求得到了其自由应变解答。并与现有解答进行对比分析,同时,分析了泊松比效应以及水平和竖向排水对地基固结的影响。结果表明,现有砂墙地基的等应变固结解答虽然近似,但已有足够精确;砂墙地基以水平向固结为主,竖向固结几乎可以忽略不计;地基固结速率随着泊松比的增大而增大,在将竖向排水体等效为砂墙时,应考虑其作用影响。

关键词: 砂墙排水, 平面应变, 井阻, 自由应变, 不完全透水边界条件

Abstract: Three-dimensional problems of consolidation with vertical drains are sometimes simplified as plane-strain ones to facilitate the operation of numerical analyses. It requires establishing an equivalent relationship between the three-dimensional consolidation with a vertical drain and the two-dimensional consolidation with a sand-wall drain. Analytical solutions for two-dimensional consolidation with a sand-wall drain are, therefore, the important basis for determining the equivalent consolidation parameters. To analyze the applicability of the existing approximate solutions of equal-strain consolidation with a sand-wall drain, an analytical solution for free-strain consolidation is derived based on the rigorous governing equations for soil element volume. An important effect of drain resistance on consolidation is considered. A general drainage boundary condition is taken into consideration, including fully drained condition and impeded drainage condition. Comparisons are made between the existing solutions and the proposed solution. In addition, the effects of Poisson’s ratio, vertical and horizontal drainage on consolidation are investigated. It is shown that the existing solutions for consolidation with a sand-wall drain are approximate but sufficiently accurate. The consolidation is mainly governed by horizontal consolidation. Vertical consolidation is however negligible. Consolidation rate increases with the increase of Poisson’s ratio. This factor should be considered when a sand-wall drain is equivalent to a vertical drain.

Key words: sand-wall drain, plane strain, drain resistance, free strain, impeded drainage boundary condition

中图分类号: 

  • TU 472.3+3

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