摘要
为提高建设项目工程地质勘察的经济效益,准确揭示黏性土物理力学参数之间的相关关系,以长春市中心城区黏性土为研究对象,基于收集的1 092个黏性土样本的常规物理试验、压缩试验和直剪试验等数据,构建了两个多元回归模型,重点分析了模型前提假设的合理性及解释变量间的交互效应。结果表明:1)残差概率密度图和残差正态Q-Q(quantile-quantile)图证实模型误差项服从正态分布;方差齐性且误差相互独立,满足多元回归模型的基本假设。2)双因素交互效应图和Johnson-Neyman图显示含水量、密度、孔隙比、液性指数之间交互效应明显,考虑交互作用的回归模型能更准确地预测压缩系数。利用多元线性回归方法分析黏性土物理力学参数相关关系具有可行性。
To enhance the economic efficiency of engineering geological investigations for construction projects and accurately reveal the correlations between the physical and mechanical parameters of cohesive soils,in this study taking the cohesive soils in central urban area of Changchun as the research object,based on the data from 1092 physical tests,compression tests and direct shear tests,two multiple regression models were constructed to emphatically analyze the rationality of the model’s premise assumptions and the interaction effects among explanatory variables.The results show that:1)The residual probability density plot and residual normal Q Q(quantile-quantile)plot confirm that the model error terms follow a normal distribution,with homogeneous and mutually independent variances,satisfying the basic assumptions of the multiple regression model.2)The two-factor interaction effect plots and Johnson-Neyman plots indicate significant interaction effects among water content,density,void ratio and liquidity index.A regression model considering interaction effects can more accurately predict the compression coefficient.It is feasible to use multiple linear regression to analyze the correlations between physical and mechanical parameters of cohesive soils.
作者
宋腾蛟
刘英
王琰
张淼
Song Tengjiao;Liu Ying;Wang Yan;Zhang Miao(School of Geomatics and Prospecting Engineering,Jilin Jianzhu University,Changchun 130118,China;State Key Laboratory for GeoMechanics and Deep Underground Engineering(China University of Mining and Technology),Xuzhou 221116,Jiangsu,China)
出处
《吉林大学学报(地球科学版)》
北大核心
2025年第4期1225-1239,共15页
Journal of Jilin University:Earth Science Edition
基金
吉林省科技发展计划项目(YDZJ202501ZYTS563)
吉林省教育厅科学研究项目(JJKH20190874KJ)
国家自然科学基金项目(42002263)。
关键词
黏性土
多元线性回归
模型诊断
模型评价
交互效应
cohesive soil
multiple linear regression
model diagnostics
model evaluation
interaction effect
