基于粒径分布曲线的非饱和砂土土水特征曲线概率预测模型

张洁 阳帅 谭泽颖 李旭

张洁, 阳帅, 谭泽颖, 等. 2022. 基于粒径分布曲线的非饱和砂土土水特征曲线概率预测模型[J]. 工程地质学报, 30(2): 301-308. doi: 10.13544/j.cnki.jeg.2020-179
引用本文: 张洁, 阳帅, 谭泽颖, 等. 2022. 基于粒径分布曲线的非饱和砂土土水特征曲线概率预测模型[J]. 工程地质学报, 30(2): 301-308. doi: 10.13544/j.cnki.jeg.2020-179
Zhang Jie, Yang Shuai, Tan Zeying, et al. 2022. Probabilistic prediction of soil water characteristic curve of unsaturated sand based on particle size distribution[J]. Journal of Engineering Geology, 30(2): 301-308. doi: 10.13544/j.cnki.jeg.2020-179
Citation: Zhang Jie, Yang Shuai, Tan Zeying, et al. 2022. Probabilistic prediction of soil water characteristic curve of unsaturated sand based on particle size distribution[J]. Journal of Engineering Geology, 30(2): 301-308. doi: 10.13544/j.cnki.jeg.2020-179

基于粒径分布曲线的非饱和砂土土水特征曲线概率预测模型

doi: 10.13544/j.cnki.jeg.2020-179
基金项目: 

国家重点研发计划项目 2021YFB2600500

上海市教育发展基金会和上海市教育委员会曙光计划项目 19SG19

详细信息
    作者简介:

    张洁(1980-),男,博士,教授,博士生导师,主要从事岩土和地下工程灾害和风险分析及控制研究. E-mail: cezhangjie@tongji.edu.cn

    通讯作者:

    李旭(1980-),男,博士,教授,博士生导师,主要从事非饱和土力学、岩土渗流分析方面研究. E-mail: cexuli2012@gmail.com

  • 中图分类号: TU431

PROBABILISTIC PREDICTION OF SOIL WATER CHARACTERISTIC CURVE OF UNSATURATED SAND BASED ON PARTICLE SIZE DISTRIBU-TION

Funds: 

National Key R&D Program 2021YFB2600500

Shuguang Program from Shanghai Education Development Foundation and Shanghai Municipal Education Commission 19SG19

  • 摘要: 土水特征曲线定义了非饱和土的基质吸力和含水量之间的关系,与非饱和土的渗流和强度等特征有密切关系。本文通过对100组砂土的粒径分布曲线和土水特征曲线进行分析,结合常用的VG模型提出了基于粒径分布曲线的非饱和砂土土水特征曲线概率预测方法,并基于另外30组数据对提出的模型进行了验证。研究表明,基于粒径分布曲线无法唯一确定土体的土水特征曲线。与已有方法相比,提出的方法不但可以预测土水特征曲线的最可能位置,还可以预测土水特征曲线的变异性范围,由此可考虑基于粒径分布曲线对土水特征曲线进行估算时存在的模型误差。
  • 图  1  土水特征曲线拟合图

    Figure  1.  Soil and water characteristic curve fitting diagram

    图  2  土水特征曲线

    a. 实测图;b. 拟合图

    Figure  2.  Soil and water characteristic curve

    图  3  土样粒径分布曲线

    Figure  3.  Particle size distribution curve

    图  4  预测值与实际值对比

    a. ln a;b. ln n

    Figure  4.  Comparison of predicted and actual values

    图  5  模型参数残差直方图

    a. ln a;b. ln n

    Figure  5.  Histogram of model parameter residual

    图  6  ln a-ln n残差散点图

    Figure  6.  Scatter plot of residuals for ln a and ln n

    图  7  土样粒径分布曲线

    Figure  7.  Particle size distribution curves of soils

    图  8  土样实测土水特征曲线

    Figure  8.  Laboratory soil and water characteristic curves of soils

    图  9  验证土样土水特征曲线及预测曲线

    a. 土样1;b. 土样2;c. 土样3;d. 土样4

    Figure  9.  Soil and water characteristic curve and prediction curve of tested soil

    图  10  土水特征曲线置信区间

    Figure  10.  Confidence interval of soil and water characteristic curve

    表  1  VG模型参数相关性分析

    Table  1.   Correlation analysis of VG model parameters

    相关系数 ln d10 ln d30 ln d60 ln e ln Cc ln Cu
    a 0.437 0.542 0.518 -0.109 0.101 -0.215
    ln a 0.493 0.752 0.695 -0.321 0.153 -0.128
    n 0.201 -0.087 -0.206 0.083 -0.321 0.390
    ln n 0.196 -0.141 -0.308 0.104 -0.392 -0.456
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出版历程
  • 收稿日期:  2020-05-15
  • 修回日期:  2020-07-21
  • 刊出日期:  2022-04-25

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