Analytical solution for consolidation of composite foundation with long vertical
 drains and short impervious columns under time-dependent loading

YANG Tao; JI Ying-zhu

doi:10.16285/j.rsm.2021.1470

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Analytical solution for consolidation of composite foundation with long vertical drains and short impervious columns under time-dependent loading

更新时间：2026-06-25

- Analytical solution for consolidation of composite foundation with long vertical drains and short impervious columns under time-dependent loading
- Vol. 43, Issue 5, Pages: 1187-1196(2022)
- 作者机构：
  
  1. 上海理工大学土木工程系,上海,200093
  2. 上海市建工设计研究总院有限公司,上海,200030
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2021.1470
  CLC： TU470
- Online First：02 May 2022，
  
  Published：2022
- 稿件说明：
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YANG Tao, JI Ying-zhu. Analytical solution for consolidation of composite foundation with long vertical drains and short impervious columns under time-dependent loading[J]. 2022, 43(5): 1187-1196.
DOI：

YANG Tao, JI Ying-zhu. Analytical solution for consolidation of composite foundation with long vertical drains and short impervious columns under time-dependent loading[J]. 2022, 43(5): 1187-1196. DOI： 10.16285/j.rsm.2021.1470.

摘要

基于向内径向渗流的轴对称固结模型，给出了变荷载下长排水体-短不排水桩组合型复合地基的固结方程，在单面排水条件下推导出组合型复合地基的固结解析解，包括排水体和排水体周边土体中的超静孔隙水压力解答和组合型复合地基整体平均固结度解答。将组合型复合地基固结度解析解与三维有限元数值解进行了比较，证明了解析解的合理性。利用固结度解析解对影响组合型复合地基固结速率的主要因素进行了分析，研究了组合型复合地基的固结特性。结果表明：组合型复合地基的固结速率随着短不排水桩贯入比的增加而逐渐增大，随排水体的井阻和其周边涂抹区厚度的增加而减小。短不排水桩刚度和置换率的变化对组合型复合地基固结速率的影响较小。

Abstract

Based on the axisymmetric consolidation model with the inward radial flow in the soil around a vertical drain

the consolidation equations of the composite ground with long vertical drains and short impervious columns under time-dependent loading were presented. The analytical solutions for consolidation of this combined composite foundation were derived under the single-sided drainage condition

including the solutions for the excess pore water pressures within the vertical drain and the surrounding soil

and for the overall average consolidation degree of the composite foundation. The rationalities of the proposed solutions were verified by 3D FEM simulations. The main influencing factors were analyzed using the proposed solutions

and the consolidation characteristics of the combined composite ground were also investigated. The results show that the consolidation rate of the combined composite foundation increases gradually with the increasing penetration ratio of the short impervious columns and decreases with the increases in the well resistance and the thickness of the smear zone. The variations in the stiffness and replacement ratio of the short impervious columns have less effect on the consolidation rate of the composite foundation.

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