长江科学院院报 ›› 2022, Vol. 39 ›› Issue (6): 82-89.DOI: 10.11988/ckyyb.20210135

• 岩土工程 • 上一篇    下一篇

考虑滞后效应与吸附作用的非饱和土SWCC分形模型

李慧鑫1, 曹文贵1, 陈可2   

  1. 1.湖南大学 土木工程学院,长沙 410082;
    2.同济大学 土木工程学院,上海 200092
  • 收稿日期:2021-02-18 修回日期:2021-04-06 出版日期:2022-06-01 发布日期:2022-06-30
  • 通讯作者: 曹文贵(1963-),男,湖南南县人,教授,博士(后),主要从事岩土工程方面的科研工作。E-mail: cwglyp@hnu.edu.cn
  • 作者简介:李慧鑫(1996-),女,黑龙江双鸭山人,硕士研究生,主要从事非饱和土本构方面的研究工作。E-mail: 15500617878@163.com
  • 基金资助:
    国家自然科学基金项目(751201250)

Fractal Model of Soil Water Characteristic Curve of Unsaturated Soil in Consideration of Hysteresis Effect and Adsorption

LI Hui-xin1, CAO Wen-gui1, CHEN Ke2   

  1. 1. College of Civil Engineering, Hunan University, Changsha 410082, China;
    2. College of Civil Engineering, Tongji University, Shanghai 200092, China
  • Received:2021-02-18 Revised:2021-04-06 Published:2022-06-01 Online:2022-06-30

摘要: 传统土-水特征曲线(SWCC)模型的研究仅考虑了土壤基质势的毛细组分而忽略了吸附组分,高估了土壤在低饱和度范围的基质吸力。针对该问题,假设土壤孔隙系统可用一簇带有孔喉的毛细管表示,且其孔径分布服从分形规律。在此基础上将土壤中水分运移分为2个阶段,即毛细水与吸附水共同参与水分运移阶段,以及仅吸附水参与水分运移阶段,推导得到了可以反映全基质吸力范围土壤持水特征及滞后效应的SWCC模型。最后采用已有的试验数据与研究结果对得到的本构模型进行验证,结果表明所提出的SWCC模型预测曲线与试验数据吻合良好,且相比已有方法可更好地描述非饱和土SWCC的持水特性,证明了该模型的合理性与可行性。

关键词: 非饱和土, 分形理论, SWCC, 毛细管模型, 滞后效应, 吸附水

Abstract: In traditional research on SWCC model, only the capillary component of soil matrix potential was taken into consideration, while the adsorption component was ignored, which makes it overestimate the matric suction in the low saturation range. In view of this, the soil pore system is assumed to be represented by a cluster of capillaries with pore throats with the pore size distribution obeying the fractal power law. On this basis, the water movement in soil can be divided into two stages, i.e., capillary water and adsorbed water both participate in water movement, and only adsorbed water participates in water movement. The SWCC model reflecting soil’s water holding capacity and the hysteresis effect in the whole range of matric suction is derived.By existing test data and research results,the present constitutive model is verified to be rational and feasible with the predicted curve agreeing well with test data,and capable of better reflecting the water holding capacity of unsaturated soil than existing methods.

Key words: unsaturated soil, fractal theory, SWCC, capillary model, hysteresis effect, adsorbed water

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