膨润土膨胀力时程曲线的形态特征及其模拟

叶为民; 刘樟荣; 崔玉军; 张召; 王琼; 陈永贵

doi:10.11779/CJGE202001003

膨润土膨胀力时程曲线的形态特征及其模拟 English Version

叶为民^{1, 2,},
刘樟荣^1, ,,
崔玉军³,
张召¹,
王琼^{1, 4},
陈永贵^{1, 2}

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,巴黎77455
4.
同济大学高等研究院,上海200092

基金项目:

国家重大科研仪器研制项目 41527801

国家自然科学基金项目 41672271

国家自然科学基金项目 41807237

上海市浦江人才计划项目 18PJ1410200

详细信息

作者简介:
叶为民（1963— ）,男,安徽枞阳人,教授,博士生导师,主要从事环境地质、非饱和土力学研究与教学工作。E-mail：ye_tju@tongji.edu.cn

通讯作者:
刘樟荣, E-mail：liuzr@tongji.edu.cn

中图分类号: TU41
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- 文章访问数: 509
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出版历程
- 收稿日期: 2019-02-14
- 网络出版日期: 2022-12-07
- 刊出日期: 2019-12-31

Features and modelling of time-evolution curves of swelling pressure of bentonite

YE Wei-min^{1, 2,},
LIU Zhang-rong^1, ,,
CUI Yu-jun³,
ZHANG Zhao¹,
WANG Qiong^{1, 4},
CHEN Yong-gui^{1, 2}

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.
Ecole Nationale des Ponts et Chaussées, Paris 77455, France
4.
Institute for Advanced Study, Tongji University, Shanghai 200092, China

摘要

摘要: 为了研究膨润土膨胀力时程曲线的形态特征,采用恒体积法开展了不同干密度高庙子(GMZ)膨润土的膨胀力试验。试验结果表明,不同干密度高庙子膨润土的膨胀力时程曲线均呈典型的双峰形态：膨胀力先迅速增大至一个峰值,然后小幅回落或增速明显减小,随后再次升高并最终趋于稳定。膨胀力时程曲线的形态由膨胀力峰值、谷值、终值、峰值时间、谷值时间和终值时间等6个关键参数控制。在分析膨胀力形成机理及其发展规律的基础上,基于累积“楔”力与消散“楔”力相互叠加的原理,并假设累积“楔”力随水化时间呈指数分布,消散“楔”力随水化时间呈高斯分布,建立了一个膨胀力时程曲线的预测模型。该模型仅包含5个参数,均具有较明确的物理意义。根据试验结果和文献资料的验证结果表明,模型能够较好地模拟不同形态的膨胀力时程曲线。
- 膨润土 /
- 膨胀力 /
- 时程曲线 /
- 形态特征 /
- 预测模型
Abstract: In order to investigate the shape features of time-evolution curves of swelling pressure of bentonite, a series of swelling pressure tests on GMZ bentonite with different initial dry densities are carried out using the constant volume method. The results show that all the obtained time-evolution curves of swelling pressure are characterized by a typical two-peak shape: as the test starts, the swelling pressure increases sharply to a peak value, followed by decreasing to a valley value, after which it increases again to the final value. It is found that the shape of time-evolution curves of swelling pressure is controlled by 6 parameters: the peak, valley and final values of swelling pressure as well as their corresponding hydration times. According to the formation and development mechanisms of swelling pressure, a predictive model for the time-evolution curve with only 5 parameters is proposed. In this model, the swelling pressure is considered as the superposition result of accumulated and dissipated "wedge" pressures, which are assumed to be related to hydration time through an exponential and a Gaussian distribution function, respectively. The proposed model is verified by the experimental results from this paper and literatures, with satisfactory agreements between the measured results and predicted ones.
- bentonite /
- swelling pressure /
- time-evolution curve /
- shape feature /
- predictive model

HTML全文

图 1 恒体积法膨胀力测试装置

Figure 1. Experimental set-up for swelling pressure tests using constant volume method

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图 2 不同初始干密度高庙子膨润土的膨胀力时程曲线

Figure 2. Evolution of swelling pressure with time for GMZ bentonite with different initial dry densities

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图 3 膨胀力峰值、谷值和终值与初始干密度的关系

Figure 3. Relationship among peak, valley and final values of swelling pressure and initial dry density

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图 4 膨胀力峰值时间、谷值时间和终值时间与干密度的关系

Figure 4. Relationship among hydration time of peak, valley and final swelling pressures and initial dry density

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图 5 压实膨润土的微观结构

Figure 5. Microstructure of compacted bentonite

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图 6 试样含水率分布随时间的变化过程(t₁<t₂<t₃<t₄)

Figure 6. Evolution of water content distribution with time of samples under hydration (t₁<t₂<t₃<t₄)

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图 7 膨胀力时程曲线预测模型概念图

Figure 7. Conceptual view of predictive model for time-evolution curve of swelling pressure

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图 8 模型参数( $α$ $α$ , $β$ $β$ 和 $σ$ $σ$ )与干密度的关系

Figure 8. Relationship between parameters ( $α$ $α$ , $β$ $β$ and $σ$ $σ$ ) and dry density

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图 9 不同干密度GMZ膨润土的膨胀力时程曲线实测结果与预测结果比较

Figure 9. Comparison between measured and predicted time-evolution curves of swelling pressure of GMZ bentonite with different dry densities

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图 10 GMZ01膨润土竖向膨胀力时程曲线拟合结果(实测数据摘自文献[16])

Figure 10. Fitting of time- evolution curves of vertical swelling pressure of GMZ01 bentonite (Measured data are from Reference [16])

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图 11 不同条件下膨润土膨胀力时程曲线拟合结果(实测数据摘自文献[11, 24~266],试样干密度均为1.70 g/cm³)

Figure 11. Fitting of time-evolution curves of swelling pressure of GMZ01 bentonite under different conditions (Measured data are from References [11, 24~266]. All the samples have a dry density of 1.70 g/cm³)

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表 1 膨胀力的峰值、谷值、终值及其对应的水化时间

Table 1 Peak, valley and final values of swelling pressure and their corresponding hydration time for GMZ bentonite with different initial dry densities

干密度/(g·cm^-3)	峰值/MPa	谷值/MPa	终值/MPa	峰值时间/h	谷值时间/h	终值时间/h
1.30	0.232	0.167	0.237	4.62	25.75	40
1.40	0.437	0.381	0.426	7.76	25.73	50
1.50	1.198	1.027	1.244	8.38	24.02	62
1.60	2.597	2.327	2.973	10.32	23.45	60
1.70	4.413	4.350	5.344	11.92	22.08	56
1.80	8.309	8.624	9.688	12.00	20.00	46

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表 2 模型参数拟合结果

Table 2 Fitting parameters of proposed model

干密度/(g·cm^-3)	$P_{sf}$ $P_{sf}$ /MPa	$α$ $α$ /h^-1	$β$ $β$ /MPa	$μ$ $μ$ /h	$σ$ $σ$ /h	R²
1.30	0.236	0.435	-0.070	24.892	7.803	0.96
1.40	0.429	0.357	-0.046	29.935	9.203	0.97
1.50	1.242	0.369	-0.232	27.739	10.737	0.99
1.60	2.962	0.293	-0.654	24.981	10.740	0.99
1.70	5.310	0.201	-0.920	23.431	9.527	0.99
1.80	9.649	0.262	-1.148	16.744	7.826	0.99

下载: 导出CSV

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膨润土膨胀力时程曲线的形态特征及其模拟 English Version

作者简介: 叶为民（1963— ）,男,安徽枞阳人,教授,博士生导师,主要从事环境地质、非饱和土力学研究与教学工作。E-mail：ye_tju@tongji.edu.cn

通讯作者: 刘樟荣, E-mail：liuzr@tongji.edu.cn

计量

出版历程

Features and modelling of time-evolution curves of swelling pressure of bentonite

计量

出版历程

目录

作者简介:
叶为民（1963— ）,男,安徽枞阳人,教授,博士生导师,主要从事环境地质、非饱和土力学研究与教学工作。E-mail：ye_tju@tongji.edu.cn

通讯作者:
刘樟荣, E-mail：liuzr@tongji.edu.cn