基于数理统计方法的铁路隧道衬砌质量缺陷分析

目前,利用地质雷达法检测隧道衬砌质量时,通常仅对隧道衬砌缺陷进行描述,较少深入分析这些缺陷的内在分布规律。采用数理统计的方法,对某在建铁路工程14座隧道共285个衬砌质量缺陷样本的分布规律进行分析。研究表明,(1)在不同测线部位,其缺陷率、不同缺陷类型占该测线缺陷比例、缺陷径向尺寸的最大值、平均值及样本标准差均不同;(2)缺陷径向尺寸总体服从正态分布;(3)在给定显著性水平α=0.05下,缺陷径向尺寸总体均值μ的一个置信区间为(17.99,20.24),方差σ2的一个置信区间为(76.63,110.71);(4)Ⅱ、Ⅲ、Ⅳ级围岩段落的衬砌缺陷径向尺寸均值无显著差异,但与Ⅴ级围岩段落有显著差异。

Quality Defects Analysis of Railway Tunnel Lining Based on Mathematical Statistics

At present,when using geological radar method to detect the quality of tunnel lining,it usually only describes the defects of tunnel lining,and rarely analyzes the internal distribution of these defects.By using the method of mathematical statistics,the distribution of 285 samples of lining quality defects in 14 tunnels of a railway project under construction is analyzed.The results show that;(1)the defect rate,the proportion of different defect types to the defects of the survey line,the maximum,average and standard deviation of the radial dimension of the defects are different in different parts of the survey line;(2)the radial dimension of the defects is generally normal;(3)under the given significance levelα=0.05,a confidence interval of the overall mean value of radial dimension of defectsμis(17.99,20.24),and a confidence interval of varianceσ2 is(76.63,110.71);(4)there is no significant difference in the mean value of radial dimension of lining defects inⅡ,ⅢandⅣsurrounding rock sections,but there is significant difference with V surrounding rock sections.