山区公路隧道拱顶沉降回归模型的比选

Comparison and Selection of Regression Models for Settlement of Arch Crown of Highway Tunnel in Mountainous Area

以西沟垭隧道工程为背景,对采用新奥法施工的隧道拱顶沉降监测数据进行分析研究,并进行奇异值检验与处理。分别用幂函数、指数函数、对数函数和双曲线函数建立4种拱顶沉降回归模型,得到4种函数模型的表达式并进行了相关系数r、标准差σ、回归平方和U以及F检验等相关参数的对比分析。将回归模型回归曲线与工程实测曲线进行拟合对比分析,认为对数函数模型为该隧道拱顶沉降分析评价的最佳回归模型。研究结果可为该隧道工程的施工提供科学分析与指导,研究过程同时对类似工况下的其他山区公路隧道工程拱顶沉降分析评价具有借鉴意义。

Based on the Xigouya tunnel project,the subsidence monitoring data of tunnel arch roof constructed by using the New Austrian tunneling method is analyzed,and the singular value is tested and processed.Four kinds of arch settlement regression models are established by power function,exponential function,logarithmic function and hyperbolic function respectively.The expressions of these four function models are obtained and the correlation coefficient R,standard deviation,regression square sum U and F test are compared and analyzed.The logarithmic function model is considered to be the best regression model for the analysis and evaluation of the tunnel arch dome settlement.The research results can provide scientific analysis and guidance for the construction of this tunnel project,and the research process also has reference significance for the analysis and evaluation of arch roof settlement of other mountain highway tunnel projects under similar working conditions.