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石灰改良高液限土强度特性的函数模型研究

胡宏坤 邵珠山

胡宏坤, 邵珠山. 2021: 石灰改良高液限土强度特性的函数模型研究. 中国地质灾害与防治学报, 32(3): 109-117. doi: 10.16031/j.cnki.issn.1003-8035.2021.03-14
引用本文: 胡宏坤, 邵珠山. 2021: 石灰改良高液限土强度特性的函数模型研究. 中国地质灾害与防治学报, 32(3): 109-117. doi: 10.16031/j.cnki.issn.1003-8035.2021.03-14
Hongkun HU, Zhushan SHAO. 2021: Research on function model of lime-improved high liquid limit soil strength characteristics. The Chinese Journal of Geological Hazard and Control, 32(3): 109-117. doi: 10.16031/j.cnki.issn.1003-8035.2021.03-14
Citation: Hongkun HU, Zhushan SHAO. 2021: Research on function model of lime-improved high liquid limit soil strength characteristics. The Chinese Journal of Geological Hazard and Control, 32(3): 109-117. doi: 10.16031/j.cnki.issn.1003-8035.2021.03-14

石灰改良高液限土强度特性的函数模型研究

doi: 10.16031/j.cnki.issn.1003-8035.2021.03-14
基金项目: 国家自然科学基金面上项目(11872287);陕西科技统筹创新工程计划项目(2015TZC-G-8-9)
详细信息
    作者简介:

    胡宏坤(1994-),男,湖北襄阳人,硕士,主要从事特殊土改良处理工作和研究。E-mail:hongk@xauat.edu.cn

  • 中图分类号: TU45

Research on function model of lime-improved high liquid limit soil strength characteristics

  • 摘要: 针对广西荔玉高速路基沿线产生的大量高液限土弃方问题,采用生石灰对高液限土进行改良处理。选取弃土场的高液限土,分别配制不同初始含水率、不同石灰掺量的试样进行侧限压缩试验和快剪试验,采用基本初等数学函数模型拟合不同饱和状态、不同初始含水率下石灰掺量对试件压缩特性和抗剪强度影响。结果表明:(1)高液限土的压缩系数随石灰掺量增加呈指数形式减小;(2)不同饱和状态试件的黏聚力和内摩擦角随石灰掺量增加呈二次函数形式变化;(3)高液限土具有水敏性,饱和素土试件最大抗剪强度对应的含水率较击实试验最大干密度对应的含水率高3%~6%;(4)当初始含水率不高于26.73%时,建议石灰掺量不低于6%,否则改良高液限土的石灰掺量不低于8%,可在满足经济性的前提下达到较好的改良效果。
  • 图  1  路基沿线高液限土分布示意图

    Figure  1.  Distribution of high liquid limit soil along the subgrade

    图  2  压缩系数指数模型拟合

    Figure  2.  Fitting of the compression coefficient exponential model

    图  3  试件黏聚力的模型拟合

    Figure  3.  Model fitting of cohesion of the samples

    图  4  未饱和试件内摩擦角幂指数模型拟合

    Figure  4.  Power index model fitting of internal friction angle of unsaturated specimen

    图  5  内摩擦角的模型拟合

    Figure  5.  Model fitting of friction angle

    图  6  未经饱和试样抗剪强度包线

    Figure  6.  Shear strength envelope of unsaturated specimen

    图  7  饱和试样抗剪强度包线

    Figure  7.  Shear strength envelope of saturated specimen

    表  1  弃方段高液限土参数指标

    Table  1.   Parameters of high liquid limit soil of spoil

    样品状态取样深度/m天然含水率/%液限/%塑限/%土粒比重
    原状土2.1~2.331.3053.3028.502.76
    原状土6.5~6.736.3052.1033.702.74
    扰动土1.3~1.533.4351.9322.462.79
    下载: 导出CSV

    表  2  试件压缩系数与石灰掺量的指数模型拟合结果

    Table  2.   Fitting results of exponential model between compression coefficient and lime content

    数学模型${\alpha _{ 1 - 2 } }{\rm{ = } }A{\rm{ + } }B{e^{( - \chi /C)} }$
    初始含水率20.84%23.68%26.73%29.71%33.75%34.93%
    A0.04±0.000.05±0.000.05±0.000.05±0.000.08±0.000.07±0.00
    B0.10±0.000.13±0.000.16±0.000.20±0.000.25±0.000.29±0.00
    C2.26±0.072.59±0.112.67±0.202.88±0.142.46±0.073.24±0.05
    R20.99980.99960.99890.99960.99981.0000
    Adj.R20.99960.99920.99770.99910.99970.9999
    注:R2 为相关系数平方;Adj.R2为调整后相关系数平方。
    下载: 导出CSV

    表  3  不同状态试件黏聚力幂函数模型拟合结果

    Table  3.   Fitting results of power function model for cohesion of specimens in different states

    试件状态数学模型$c = {c_0} + A\chi + B{\chi ^2}$
    初始含水率20.84%23.68%26.73%29.71%33.75%34.93%
    未饱和${c_{\rm{0}}}$139.62±4.55126.32±6.0798.34±3.0154.77±1.9428.24±1.0522.19±2.48
    A24.06±2.6921.46±3.5922.70±1.7819.02±1.1518.65±0.6217.65±1.74
    B−1.19±0.32−0.92±0.43−1.04±0.21−0.89±0.14−0.87±0.07−0.76±0.18
    R20.99470.98990.99760.99860.99960.9975
    Adj.R20.98940.97980.99520.99710.99910.9949
    饱和${c_{\rm{0}}}$12.89±2.0522.30±2.7615.94±1.4710.58±1.324.14±1.173.08±0.71
    A11.56±1.2115.26±1.6313.36±0.878.20±0.785.57±0.694.57±0.42
    B−0.62±0.15−0.99±0.20−0.77±0.10−0.44±0.09−0.29±0.08−0.21±0.05
    R20.99480.99290.99780.99580.99320.9968
    Adj.R20.98960.98570.99560.99160.98630.9936
    下载: 导出CSV

    表  4  未经饱和试件内摩擦角的幂函数模型拟合结果

    Table  4.   Fitting results of power function model for internal friction angle of unsaturated specimen

    函数模型$\varphi = {\varphi _0} + A\chi + B{\chi^2}$
    初始含水率20.84%23.68%26.73%29.71%33.75%34.93%
    ${\varphi _{\rm{0}}}$30.79±0.3229.17±0.4526.75±0.4324.83±0.4924.39±0.2824.21±0.35
    A1.49±0.191.43±0.271.69±0.261.77±0.261.43±0.171.40±0.21
    B−0.09±0.02−0.06±0.03−0.07±0.03−0.07±0.03−0.04±0.02−0.04±0.02
    R20.99130.98720.99150.99100.99660.9943
    Adj.R20.98270.97450.98300.98210.99320.9887
    下载: 导出CSV

    表  5  试验设计方案

    Table  5.   Experimental design scheme

    初始含水率/%石灰掺量/%黏聚力内摩擦角RAdj. R2
    29.711051.8531.101.0000.999
    1247.4531.780.9980.996
    33.751032.2029.870.9980.996
    1233.529.890.9980.995
    34.931026.529.560.9990.997
    1230.2530.290.9940.989
    下载: 导出CSV

    表  6  饱和试件内摩擦角拟合结果

    Table  6.   Fitting results of internal friction angle of saturated specimen

    函数模型方程$\varphi = {\varphi _0} + A\chi + B{\chi ^2}$
    初始含水率20.84%23.68%26.73%29.71%33.75%34.93%
    幂函数${\varphi _{\rm{0}}}$23.14±0.1424.12±0.7224.36±0.9523.92±0.7623.79±0.2323.58±0.12
    A2.00±0.082.51±0.432.74±0.562.53±0.451.98±0.141.97±0.07
    B−0.15±0.01−0.21±0.05−0.23±0.07−0.21±0.05−0.16±0.02−0.16±0.01
    R20.99840.97020.95390.96720.99540.9988
    Adj.R20.99680.94040.90780.93450.99080.9975
    下载: 导出CSV
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  • 收稿日期:  2020-06-04
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