黄土湿陷系数影响因素的相关性分析
|
摘要
湿陷性是黄土重要的工程性质,而湿陷系数则是评价黄土湿陷等级的重要指标,本文从工程地质角度学出发分析了各土性指标对湿陷系数的影响,利用数理统计方法建立其内在关系。由于黄土湿陷是众多影响因子共同作用下造成的,且各因素之间并非是完全独立,基于全面选取指标的考虑,采用因子分析理论对孔隙比、干密度、初始含水率、饱和度、塑限、液限、塑性指数、压缩模量八个常见指标进行分析,消除共线性对拟合的影响。将八个指标分为四大类,并从每一大类中选取一个与湿陷系数相关程度最大的因子进行线性回归分析,建立黄土湿陷系数与各影响因子的回归方程。最后,利用甘肃庆阳地区一探井实测数据验证该模型的精确度,结果显示湿陷系数预测结果与实测结果较为接近,对快速、准确预测黄土湿陷系数和评价黄土地区场地湿陷等级具有一定的工程实践和参考价值。
Collapsibility is an important engineering property of loess,and collapse coefficient is an important index for evaluating the collapsibility of loess. In this paper,mathematical statistics method is used to establish their internal relationship various factors influencing the collapse coefficient of loess. The collapsibility of loess is influenced by many factors,and these factors are not completely independent. Therefore,based on the overall selection of indexes,factor analysis theory is applied to analyze porosity ratio,dry density,initial moisture content,saturation,plastic limit,liquid limit,plasticity index and compression modulus to eliminate the influence of collinearity on fitting. These eight indexes are divided into four classes,and one factor that has the greatest correlation with the coefficient of collapsibility is selected to participate in the linear regression analysis from each class,and the linear regression equation of the loess collapse coefficient and the influencing factors is established. Finally,the accuracy of the model is verified by the test data from a well in this region.It turns out that the predicted results of collapse coefficient are close to the test data, which has a certainpractical and reference value for predicting the loess collapsible coefficient and evaluating the loess collapsibility quickly and accurately.
Collapsibility is an important engineering property of loess,and collapse coefficient is an important index for evaluating the collapsibility of loess. In this paper,mathematical statistics method is used to establish their internal relationship various factors influencing the collapse coefficient of loess. The collapsibility of loess is influenced by many factors,and these factors are not completely independent. Therefore,based on the overall selection of indexes,factor analysis theory is applied to analyze porosity ratio,dry density,initial moisture content,saturation,plastic limit,liquid limit,plasticity index and compression modulus to eliminate the influence of collinearity on fitting. These eight indexes are divided into four classes,and one factor that has the greatest correlation with the coefficient of collapsibility is selected to participate in the linear regression analysis from each class,and the linear regression equation of the loess collapse coefficient and the influencing factors is established. Finally,the accuracy of the model is verified by the test data from a well in this region.It turns out that the predicted results of collapse coefficient are close to the test data, which has a certainpractical and reference value for predicting the loess collapsible coefficient and evaluating the loess collapsibility quickly and accurately.
引文
[1]汤连生.黄土湿陷性的微结构不平衡吸力成因论[J].工程地质学报,2003,11(1):30-35.TANG Liansheng. Synthetic effect of microstructure and uneven suction on loess subsidence[J]. Journal of Engineering Geology,2003,11(1):30-35.
[2]高国瑞.黄土湿陷变形的结构理论[J].岩土工程学报,1990,12(4):1-10.GAO Guorui. A structure theory for collapsing of deformation of loess soils[J]. Chinese Journal of Geotechnical Engineering,1990,12(4):1-10.
[3]王家鼎.地理学研究中的模糊信息优化处理方法[J].地理与地理信息科学,1999(1):75-80.WANG Jiading. The fuzzy information optimization processing method in the study of geography[J].Geography and Territorial Research,1999(1):75-80.
[4]李瑞娥,谢永利.模糊理论在黄土湿陷性预测中的应用[J].路基工程,2008(5):22-23.LI Ruie,XIE Yongli. Application of fuzzy theory in the prediction of loess collapsibility[J]. Subgrade Engineering,2008(5):22-23.
[5]高凌霞,赵天雁.黄土湿陷系数与物性指标间的定量关系[J].大连民族大学学报,2004,6(5):63-65.GAO Lingxia,ZHAO Tianyan. The quantitative relation between loess collapsibility and its physical index[J].Journal of Dalian Nationalities University,2004,6(5):63-65.
[6]李萍,李同录.黄土物理性质与湿陷性的关系及其工程意义[J].工程地质学报,2007,15(4):506-512.LI Ping, LI Tonglu. Relation between loess collapsibility and physical properties and its engineering significance[J]. Journal of Engineering Geology,2007,15(4):506-512.
[7]徐志军,郑俊杰,张军,等.聚类分析和因子分析在黄土湿陷性评价中的应用[J].岩土力学,2010(增刊2):407-411.XU Zhijun,ZHENG Junjie,ZHANG Jun,et al.Application of cluster analysis and factor analysis to evaluation of loess collapsibility[J]. Rock and Soil Mechanics,2010(S2):407-411.
[8]邵生俊,杨春鸣,马秀婷,等.黄土的独立物性指标及其与湿陷性参数的相关性分析[J].岩土力学,2013(增刊2):27-34.SHAO Shengjun,YANG Chunming,MA Xiuting,et al.Correlation analysis of collapsible parameters and independent physical indices of loess[J]. Rock and Soil Mechanics,2013(S2):27-34.
[9]钱鸿缙,王继唐,罗宇生.湿陷性黄土地基[M].北京:中国建筑工业出版社,1985.QIAN Hongjin, WANG Jitang, LUO Yusheng.Collapsible loess foundation[M]. Beijing:China Architecture&Building Press,1985.
[10]刘祖典.影响黄土湿陷系数因素的分析[J].工程勘察,1994(5):6-11.LIU Zudian. Analysis of factors of collapsibility coefficients of loess[J]. Geotechnical Investigation and Surveying,1994(5):6-11.
[11]雷祥义.中国黄土的孔隙类型与湿陷性[J].中国科学,1987,17(12):1309-1318.LEI Xiangyi. Size of loess pores in relation to collapsibility[J]. Scientia Sinica,1987,17(12):1309-1318.
[12]高国端.我国黄土湿陷性质的形成研究[J].南京建筑工程学院学报,1994(2):1-8.GAO Guoduan. The formation of collapsibility of loess soils in China[J]. Journal of Nanjing Architectural and Civil Engineering Institure,1994(2):1-8.
[13]马闫,王家鼎,彭淑君,等.黄土湿陷性与土性指标的关系及其预测模型[J].水土保持通报,2016,36(1):120-128.MA Yan,WANG Jiading,PENG Shujun,et al.Relationships between physical-mechanical parameters and collapsibility of loess soil and its prediction model[J]. Bulletin of Soil and Water Conservation,2016,36(1):120-128.
[2]高国瑞.黄土湿陷变形的结构理论[J].岩土工程学报,1990,12(4):1-10.GAO Guorui. A structure theory for collapsing of deformation of loess soils[J]. Chinese Journal of Geotechnical Engineering,1990,12(4):1-10.
[3]王家鼎.地理学研究中的模糊信息优化处理方法[J].地理与地理信息科学,1999(1):75-80.WANG Jiading. The fuzzy information optimization processing method in the study of geography[J].Geography and Territorial Research,1999(1):75-80.
[4]李瑞娥,谢永利.模糊理论在黄土湿陷性预测中的应用[J].路基工程,2008(5):22-23.LI Ruie,XIE Yongli. Application of fuzzy theory in the prediction of loess collapsibility[J]. Subgrade Engineering,2008(5):22-23.
[5]高凌霞,赵天雁.黄土湿陷系数与物性指标间的定量关系[J].大连民族大学学报,2004,6(5):63-65.GAO Lingxia,ZHAO Tianyan. The quantitative relation between loess collapsibility and its physical index[J].Journal of Dalian Nationalities University,2004,6(5):63-65.
[6]李萍,李同录.黄土物理性质与湿陷性的关系及其工程意义[J].工程地质学报,2007,15(4):506-512.LI Ping, LI Tonglu. Relation between loess collapsibility and physical properties and its engineering significance[J]. Journal of Engineering Geology,2007,15(4):506-512.
[7]徐志军,郑俊杰,张军,等.聚类分析和因子分析在黄土湿陷性评价中的应用[J].岩土力学,2010(增刊2):407-411.XU Zhijun,ZHENG Junjie,ZHANG Jun,et al.Application of cluster analysis and factor analysis to evaluation of loess collapsibility[J]. Rock and Soil Mechanics,2010(S2):407-411.
[8]邵生俊,杨春鸣,马秀婷,等.黄土的独立物性指标及其与湿陷性参数的相关性分析[J].岩土力学,2013(增刊2):27-34.SHAO Shengjun,YANG Chunming,MA Xiuting,et al.Correlation analysis of collapsible parameters and independent physical indices of loess[J]. Rock and Soil Mechanics,2013(S2):27-34.
[9]钱鸿缙,王继唐,罗宇生.湿陷性黄土地基[M].北京:中国建筑工业出版社,1985.QIAN Hongjin, WANG Jitang, LUO Yusheng.Collapsible loess foundation[M]. Beijing:China Architecture&Building Press,1985.
[10]刘祖典.影响黄土湿陷系数因素的分析[J].工程勘察,1994(5):6-11.LIU Zudian. Analysis of factors of collapsibility coefficients of loess[J]. Geotechnical Investigation and Surveying,1994(5):6-11.
[11]雷祥义.中国黄土的孔隙类型与湿陷性[J].中国科学,1987,17(12):1309-1318.LEI Xiangyi. Size of loess pores in relation to collapsibility[J]. Scientia Sinica,1987,17(12):1309-1318.
[12]高国端.我国黄土湿陷性质的形成研究[J].南京建筑工程学院学报,1994(2):1-8.GAO Guoduan. The formation of collapsibility of loess soils in China[J]. Journal of Nanjing Architectural and Civil Engineering Institure,1994(2):1-8.
[13]马闫,王家鼎,彭淑君,等.黄土湿陷性与土性指标的关系及其预测模型[J].水土保持通报,2016,36(1):120-128.MA Yan,WANG Jiading,PENG Shujun,et al.Relationships between physical-mechanical parameters and collapsibility of loess soil and its prediction model[J]. Bulletin of Soil and Water Conservation,2016,36(1):120-128.