毛细-吸附作用下考虑温度和孔隙比影响的土-水特征曲线研究

刘爽; 刘汉龙; 肖杨

doi:10.11779/CJGE20231253

毛细-吸附作用下考虑温度和孔隙比影响的土-水特征曲线研究 English Version

刘爽^1,,
刘汉龙^{1, 2, 3},
肖杨^{1, 2, 3}

1.
重庆大学土木工程学院, 重庆 400045
2.
重庆大学山地城镇建设与新技术教育部重点实验室, 重庆 400045
3.
库区环境地质灾害防治国家地方联合工程研究中心, 重庆 400045

基金项目:

国家自然科学基金项目 52078085

重庆市研究生科研创新项目 CYB23057

详细信息

作者简介:
刘爽(1996—)，男，博士研究生，主要从事非饱和土的本构关系方面研究。E-mail: liuscqu@163.com

中图分类号: TU47
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出版历程
- 收稿日期: 2023-12-21
- 网络出版日期: 2024-09-26
- 刊出日期: 2025-03-31

Soil-water characteristic curve considering temperature and void ratio under capillarity and adsorption

LIU Shuang^1,,
LIU Hanlong^{1, 2, 3},
XIAO Yang^{1, 2, 3}

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2.
Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China
3.
National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing 400045, China

摘要

摘要: 土-水特征曲线是非饱和土重要的本构关系之一，温度和孔隙比显著地影响土-水特征曲线。结合现有的吸附和毛细模型，引入毛细凝聚因子，建立了考虑毛细-吸附作用的土-水特征曲线模型。引入温度相关的水-气界面张力和润湿热，推导了温度相关的浸润系数解析解和基质吸力，从而建立了毛细-吸附作用下考虑温度影响的土-水特征曲线模型。基于不同孔隙比土的孔隙分布曲线可以通过平移、缩放获得，建立了考虑孔隙比的毛细水模型，结合吸附水模型提出了考虑温度和孔隙比的毛细-吸附解耦的土-水特征曲线模型。模型参数可通过两组同温不同孔隙比和一组不同温度的试验结果确定。对比模型预测与试验结果发现该模型较好地预测了多种土在不同温度和孔隙比下的土-水特征曲线。
- 非饱和土 /
- 温度 /
- 孔隙比 /
- 毛细作用 /
- 吸附作用 /
- 毛细冷凝
Abstract: The soil-water characteristic curve (SWCC) is an important constitutive relationship of unsaturated soils. The temperature and void ratio obviously affect the SWCC of soils. By combining the adsorption and capillary water models for soils with the introduction of a capillary condensation factor, a SWCC model is proposed. Moreover, an analytical solution for wetting coefficient considering temperature is obtained by considering the non-isothermal water-air interfacial tension and enthalpy of immersion per unit area. Then, a temperature-dependent matric suction and SWCC model is established. Additionally, the distribution curves of pores at different void ratios can be obtained by shifting and scaling the curve at the reference state. Then, a void ratio-dependent capillary model is proposed. On this basis, a capillary-adsorption decoupling SWCC model considering temperature, void ratio and capillary condensation is established. The parameters can be determined from two series of test data with different void ratios at the same temperature and one data of different temperatures. The comparison between the predictions and measurements indicates that the proposed model is precise in predicting the SWCCs under different conditions.
- unsaturated soil /
- temperature /
- void ratio /
- capillarity /
- adsorption /
- capillary condensation

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图 1 毛细凝聚因子随吸力的演化及其对吸附饱和度的影响

Figure 1. Evolution of factor of capillary condensation with suction and its effect on adsorption degree of saturation

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图 2 浸润系数的数值解与解析解对比

Figure 2. Comparison between numerical and analytical solutions of wetting coefficient

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图 3 不同温度下与参考状态温度下的吸力关系

Figure 3. Relationship of matric suction between different temperatures and reference temperature

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图 4 毛细饱和度随温度的演化

Figure 4. Evolution of capillary degree of saturation with temperature

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图 5 土的饱和度预测和试验结果对比

Figure 5. Comparison between predictions and test data of different

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图 6 不同条件下黏土^[39]的毛细饱和度和吸附饱和度

Figure 6. Capillary and adsorption degrees of saturation of clay^[39] under different conditions

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表 1 模型参数

Table 1 Model parameters

材料	黏土^[39]	膨润土^[40-41]	黄土^[12]	粉质黏土^[42]
$S_\text{a}^\text{m}$ /%	52.33	86.17	23.16	0
$\eta$	5.164	4.576	50.40	1
$\alpha$ /kPa^-1	5.047×10^-3	2.055×10^-5	0.945	2.870×10^-2
$n$	1.380	1.627	1.234	1.669
${k_\text{r}}$	0.828	0.767	0.659	0.674
${h_\text{r}}$ /(J·m^-2)	-0.140	-0.173	-0.232	-0.368
$\xi$	6.348	5.561	6.318	23.645

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表 2 不同类型土的模型预测R²和RMSE

Table 2 Coefficients of determination and root mean squared error of predicted results of different type soils

材料	黏土^[39]	膨润土^[40-41]	黄土^[12]	粉质黏土^[42]
R²	0.9853	0.9754	0.9766	0.9634
RMSE	0.0389	0.0263	0.0332	0.0542

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