基于变截面孔隙模型描述岩土介质的渗透及持水特性

张昭; 程靖轩; 刘奉银; 齐吉琳; 柴军瑞; 李会勇

doi:10.11779/CJGE202010005

基于变截面孔隙模型描述岩土介质的渗透及持水特性 English Version

张昭^1,,
程靖轩¹,
刘奉银^1, ,,
齐吉琳^{1, 2},
柴军瑞³,
李会勇⁴

1.
西安理工大学岩土工程研究所,陕西　西安　710048
2.
北京建筑大学土木与交通工程学院,北京　100044
3.
省部共建西北旱区生态水利国家重点实验室（西安理工大学）,陕西　西安　710048
4.
中国水电基础局有限公司,天津　301700

基金项目:

国家自然科学基金项目 41877278

国家自然科学基金项目 51679198

国家留学基金项目 201908610043

陕西省教育厅重点实验室科研计划项目 18JS071

西安理工大学省部共建西北旱区生态水利国家重点实验室项目 QNZX-2019-07

西安理工大学省部共建西北旱区生态水利国家重点实验室项目 2019KJCXTD-12

详细信息

作者简介:
张昭(1983—),男,陕西西安人,博士,副教授,主要从事非饱和土水力特性的研究工作。E-mail：zhangzhao_1983@126.com

通讯作者:
刘奉银, E-mail：fyliu@pub.xaonline.com

中图分类号: TU441
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出版历程
- 收稿日期: 2018-05-29
- 修回日期: 2020-04-10
- 网络出版日期: 2022-12-07
- 刊出日期: 2020-09-30

Variable cross-sectional pore model to describe hydraulic conductivity and water retention behaviors of geotechnical materials

1.
Institute of Geotechnical Engineering, Xi'an University of Technology, Xi'an 710048, China
2.
College of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
3.
State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China (Xi'an University of Technology), Xi'an 710048, China
4.
Sinohydro Foundation Engineering Co., Ltd., Tianjin 301700, China

摘要

摘要: 为研究孔隙变截面特征对岩土介质渗透及持水特性的影响,先构建了圆柱形孔喉-大孔隙联合体组成的变截面孔隙模型。其次,假定孔径分布服从分形分布,基于构建的变截面孔隙模型推得岩土介质的饱和渗透系数函数、相对渗透系数函数及滞回持水曲线的理论表达式。最后,利用已有文献中4种砂岩、8种土的饱和-非饱和渗透试验以及3种土的减、增湿持水试验（含一种黏土的补充持水试验）结果分别验证了理论表达式在表征饱和渗透率与孔隙率关系、相对渗透系数与有效饱和度关系以及滞回持水特性时的有效性,通过计算饱和渗透率及相对渗透系数的预测值与其实测值之间的均方根偏差,发现理论表达式在描述4种砂岩和8种土的饱和-非饱和渗透特性时优于Kozeny-Carman公式和Assouline模型。
- 岩土介质 /
- 渗透系数函数 /
- 持水曲线 /
- 变截面孔隙 /
- 有效饱和度
Abstract: To investigate the contribution of their non-uniform cross-section to hydraulic conductivity and water retention behaviours for geotechnical materials, the pores can be simplified as variable cross-sectional assembly of cylindrical macro-pores with pore throats. In addition, this variable cross-sectional pore model can provide theoretical expressions for both the saturated-relative hydraulic conductivity functions and the water retention curves based on a fractal pore size distribution. Finally, these theoretical expressions are validated against both the saturated-unsaturated permeability data for four sandstones and eight soils and the hysteretic water retention data (including the supplementary water retention tests on a clay) for three soils in the previous literatures. The results of RMSD between the predicted and the measured values of saturated permeability and relative hydraulic conductivity show that these new expressions are superior to Kozeny-Carman equation and Assouline model for describing the evolution of saturated permeability with porosity and the relation of relative hydraulic conductivity with effective degree of saturation.
- geotechnical material /
- hydraulic conductivity function /
- water retention curve /
- variable cross-sectional pore /
- effective degree of saturation

HTML全文

图 1 岩土介质的圆柱形表征体元及其中单个变截面孔隙的几何参数

Figure 1. Geometries of cylinder representative elementary volume and a single variable cross-sectional pore for geomaterials

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图 2 孔隙体积和流量控制参数（ $ξ_{V}$ $ξ_{V}$ 和 $ξ_{Q}$ $ξ_{Q}$ ）的密度图

Figure 2. Density plots of volume and flow rate parameters for pore ( $ξ_{V}$ $ξ_{V}$ and $ξ_{Q}$ $ξ_{Q}$ )

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图 3 式（25）以及KC公式对4种砂岩饱和渗透率的预测值及其实测值与孔隙率的关系（实测值引自文献[22~24]）

Figure 3. Comparison between Eq. (25) and KC equation and experimental data sets of saturated permeability versus porosity for four sandstones (data from Literatures [22~24])

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图 4 式（23）和Assouline模型对8种土的相对渗透系数预测值及其实测值与有效饱和度的关系（实测值引自文献[4, 25]）

Figure 4. Comparison between Eq. (23) and Assouline model and experimental data sets of relative hydraulic conductivity versus effective degree of saturation for eight soils (data from Literatures [4, 25])

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图 5 Beaver Creek砂、人工粉土和青藏黏土的滞回持水实测数据与式（15）和式（17）的预测曲线

Figure 5. Predictions of Eqs. (15) and (17) in comparison with hysteretic water retention data of Beaver Creek sand, processed silt and Qinghai-Tibet clay

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图 6 文献[30, 31]所选取砂岩的分维数D与孔隙率n关系

Figure 6. Relationship between fractal dimension D and porosity n from Literatures [30, 31]

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