理论与试验研究

基于分数阶模型的透水管桩周围饱和黏土固结分析

  • 田乙 ,
  • 华伦 ,
  • 安家金 ,
  • 许汉华 ,
  • 桂跃
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  • 1.中国有色金属工业昆明勘察设计研究院有限公司,昆明 650051;
    2.昆明理工大学 建筑工程学院,昆明 650500;
    3.云南省岩土工程与地质灾害重点实验室,昆明 650051
田乙(1995—),男,云南曲靖人,博士,助理研究员、硕士生导师,主要从事软土地基加固处理领域研究工作。E-mail: tianyibox@163.com
安家金(1990—),男,云南文山人,高级工程师,主要从事岩土勘察设计方面的工作。E-mail: 314336302@qq.com

收稿日期: 2026-05-15

  网络出版日期: 2026-09-07

基金资助

国家自然科学基金(52408367);云南省基础研究计划项目(202401CF070127)

Consolidation Analysis of Saturated Clay around a Permeable Pipe Pile Based on Fractional Derivative-Based Model

  • Tian Yi ,
  • Hua Lun ,
  • An Jiajin ,
  • Xu Hanhua ,
  • Gui Yue
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  • 1. Kunming Prospecting Design Institute of China Nonferrous Metals Industry Co., Ltd., Kunming 650051, P. R. China;
    2. Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P. R. China;
    3. Yunnan Key Laboratory of Geotechnical Engineering and Geohazards, Kunming 650051, P. R. China

Received date: 2026-05-15

  Online published: 2026-09-07

摘要

透水管桩集排水和承载功能为一体,通过加快桩周土体固结来促进桩基承载力的发挥。为探究透水管桩周围饱和黏土的固结特性,采用分数阶Merchant模型描述桩周黏土的流变行为,同时采用半透水边界模拟桩—土界面排水条件,建立透水管桩周围饱和黏土的轴对称固结模型。借助分离变量法和Laplace变换推导得到相应的固结解答,并分别与试验结果和现有解答比较验证了本模型的合理性。基于所得解答,开展参数敏感性分析,深入探究了桩、土相关参数对桩周土体固结发展的影响规律。结果表明:分数阶次对土体蠕变阶段影响较大,对超孔隙水压力消散过程影响较小;桩周土体的超孔隙水压力消散与沉降发展不同步,但随着分数阶次增大两者间的差距减小;黏滞系数和桩—土界面参数的增大,均会加快超孔隙水压力的消散,且前者会减缓土体蠕变速率,后者对土体蠕变发展无影响。

本文引用格式

田乙 , 华伦 , 安家金 , 许汉华 , 桂跃 . 基于分数阶模型的透水管桩周围饱和黏土固结分析[J]. 地下空间与工程学报, 2026 , 22(4) : 1197 -1205 . DOI: 10.20174/j.JUSE.2026.04.09

Abstract

Permeable pipe pile integrates drainage and bearing functions, and it promotes the bearing capacity of the pile foundation by accelerating the consolidation of the soil around the pile. To investigate the consolidation characteristics of the saturated clay around a permeable pipe pile, the axisymmetric consolidation model of saturated clay around a permeable pipe pile is established by adopting the fractional derivative-based Merchant model to describe the rheological behavior of the clay, and at the same time using the impeded drainage boundary to simulate the drainage condition of the pile-soil interface. By means of the separation of variables method and Laplace transformation, the corresponding consolidation solution is obtained, and then its reasonableness is verified by comparing with the experimental results and the existing solutions. Based on the obtained solutions, the parametric analyses are carried out to investigate the influence of relevant parameters of the soil and the permeable pipe pile on the consolidation behaviors of the clay around the pile. The results indicate that the fractional order has a considerable effect on the creep stage of the clay, while it has little impact on the dissipation process of excess pore water pressure. The dissipation of excess pore water pressure is not synchronous with the settlement development in the soil around the pile, but the gap between them decreases with the increase in the fractional order. The increase in both viscosity coefficient and pile-soil interface parameter accelerates the dissipation of excess pore water pressure, and the former slows down the creep rate of the soil, while the latter does not affect the creep development of the soil.

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