Analytical solution for consolidation by vertical drains considering actual shape of influence zone

XIE Kang-he; YU Kun; TONG Lei; WANG Kun

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Analytical solution for consolidation by vertical drains considering actual shape of influence zone

更新时间：2026-06-25

- Analytical solution for consolidation by vertical drains considering actual shape of influence zone
- Vol. 32, Issue 10, (2011)
- 作者机构：
  
  浙江大学岩土工程研究所,杭州,310058
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU431
- Online First：13 October 2011，
  
  Published：2011
- 稿件说明：
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XIE Kang-he, YU Kun, TONG Lei, et al. Analytical solution for consolidation by vertical drains considering actual shape of influence zone[J]. 2011, 32(10).
DOI：

XIE Kang-he, YU Kun, TONG Lei, et al. Analytical solution for consolidation by vertical drains considering actual shape of influence zone[J]. 2011, 32(10). DOI：

摘要

针对现有竖向排水井地基固结解析理论对影响区一律采用圆形等效假定的缺陷，研究了影响区真实形状为正六边形的按梅花形布置的竖向排水井地基的固结问题。通过建立新固结方程和引入新的边界条件，并考虑土体水平渗透系数变化，得到了相应的解析解。对于土体水平渗透系数的3种变化模式，分别给出了各种模式下的特殊解。在此基础上，分析了3种模式下3个主要的无量纲参数对地基固结性状的影响，并比较了计算结果和现有理论结果。分析结果表明，影响区和涂抹扰动区范围越大，固结越慢；土体的最大与最小水平渗透系数之比越小，固结越快；在相同条件下，考虑扰动区渗透系数线性变化的模式2固结最快，而假定扰动区渗透系数不变的模式1的解与现有理论解相当接近，验证了现有竖向排水井地基固结解析理论中对影响区采用圆形等效假定的合理性

Abstract

In view of the shortcomings that the influence zone of vertical drain is always assumed to be a circle in the existing analytical consolidation theories for vertical drains; the consolidation by vertical drains installed in a regular triangle pattern with a regular hexagon shape of influence zone was studied. By establishing new consolidation equation and introducing new boundary conditions

the general analytical solutions accounting for variation of soil horizontal permeability coefficient were derived. Then

according to three types of variation patterns of the horizontal permeability

the corresponding solutions were obtained. Furthermore

the influences of three main dimensionless parameters on the consolidation behavior were analyzed

and the obtained solutions were compared with the existing ones. The results show that the greater the size of influence zone or disturbed smear zone is

the slower the consolidation is; the less the ratio of the maximum to the minimum horizontal permeability coefficient of soil is

the faster the consolidation is; under the same conditions

the consolidation of pattern two considering a linearly changed permeability coefficient within the disturbed zone is the fastest and the solutions of pattern one considering a constant permeability coefficient within the disturbed zone are very close to the existing analytical ones

which indicated that the assumption that the influence zone of vertical drain is a circle adopted in the existing theories is reasonable

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