岩土力学 ›› 2021, Vol. 42 ›› Issue (6): 1549-1556.doi: 10.16285/j.rsm.2020.1427

• 基础理论与实验研究 • 上一篇    下一篇

基于微孔填充和毛细管凝聚理论的持水曲线模型

刘樟荣1,叶为民1, 2,崔玉军3,朱合华1, 2,王琼1, 2,陈永贵1, 2   

  1. 1. 同济大学 地下建筑与工程系,上海 200092;2. 同济大学 岩土及地下工程教育部重点实验室,上海 200092; 3. 法国国立路桥大学 纳维实验室,法国 巴黎 77455
  • 收稿日期:2020-09-21 修回日期:2021-03-05 出版日期:2021-06-11 发布日期:2021-06-15
  • 通讯作者: 叶为民,男,1963年生,博士,教授,博士生导师,主要从事环境地质、非饱和土力学方面的研究与教学工作。E-mail: ye_tju@tongji.edu.cn E-mail: liuzr@tongji.edu.cn
  • 作者简介:刘樟荣,男,1990年生,博士,博士后,主要从事非饱和土力学与工程地质方面的研究工作。
  • 基金资助:
    国家重点研发计划(No.2019YFC1509900);国家自然科学基金(No.42002291,No.42030714,No.41807237);中国博士后科学基金(No.2020M671217)。

Water retention curve model based on micro-pore filling and capillary condensation theories

LIU Zhang-rong1, YE Wei-min1, 2, CUI Yu-jun3, ZHU He-hua1, 2, WANG Qiong1, 2, CHEN Yong-gui1, 2   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 3. Laboratoire Navier, Ecole des Ponts ParisTech, Paris 77455, France
  • Received:2020-09-21 Revised:2021-03-05 Online:2021-06-11 Published:2021-06-15
  • Supported by:
    This work was supported by the National Key R&D Program of China(2019YFC1509900), the National Natural Science Foundation of China(42002291, 42030714, 41807237) and the China Postdoctoral Science Foundation(2020M671217).

摘要: 持水曲线是研究非饱和土的渗透、强度和体变等水力?力学特性的重要工具。大多数既有持水曲线模型未能反映非饱和土的持水机制或形式较复杂,且对双峰或多峰形态的持水曲线模拟效果欠佳。在分析非饱和土持水机制的基础上,将持水曲线划分为吸附和毛细持水域;再基于微孔填充理论,结合Kelvin定律,构建了吸附持水曲线模型;同时基于毛细管凝聚理论,结合Young-Laplace方程,构建了毛细持水曲线模型;然后通过吸附和毛细持水曲线模型的叠加,建立了全吸力范围内非饱和土的持水曲线模型。采用该模型对上海软土、西安黄土、南阳膨胀土、桂林红黏土、辽西风积土和内蒙古高庙子膨润土等6种代表性非饱和土的实测持水曲线进行了模拟。结果表明,该模型形式简单,参数物理意义明确,且反映了非饱和土的吸附和毛细作用持水机制,可适用于模拟不同条件不同类型土体的不同形状持水曲线。

关键词: 非饱和土, 持水曲线, 微孔填充, 毛细管凝聚, 持水模型

Abstract: Water retention curve (WRC) is an important tool to study the hydraulic and mechanical properties of unsaturated soils, such as permeability, strength and deformation properties. Most of the existing WRC models fail to reflect the water retention mechanisms of unsaturated soils or they are complex in form, and these models are hard to give good performance on modelling the bimodal and multimodal WRCs. In this study, based on analyzing the water retention mechanisms of unsaturated soils, the WRC was divided into two domains that are governed by adsorption and capillary mechanisms, respectively. An adsorption water retention curve model (WRCM) was developed based on micro-pore filling theory and Kelvin’s law. A capillary WRCM was established based on the capillary condensation theory and Young-Laplace equation. Then, a new water retention curve model over the full suction range was built by superposing the adsorption and capillary WRCMs. Finally, the new model was validated through modelling the experimentally measured WRCs of six representative unsaturated soils, including Shanghai soft clay, Xi’an loess, Nanyang expansive soil, Guilin lateritic clay, Western Liaoning aeolian soil and Inner Mongolia Gaomiaozi (GMZ) bentonite. Results showed that the proposed model, which was simple in form with definite physical meaning parameters and successfully reflected the adsorption and capillary mechanisms of water retention, was able to simulate WRCs with different shapes for different types of soils under different conditions.

Key words: unsaturated soils, water retention curve (WRC), micro-pore filling, capillary condensation, water retention model

中图分类号: TU43
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