有压输水隧洞衬砌应力的多元回归分析及其工程应用  

Multivariate Regression Analysis of Lining Stress in Pressurized Water Tunnels and Its Engineering Applications

作　　者：高程鹏 强健 黄金晓 Gao Chengpeng;Qiang Jian;Huang Jinxiao(Shanghai Municipal Engineering Design General Institute(Group)Co.,Ltd,200092,China;Nanning Drainage Limited Liability Company,530000,China)

机构地区：[1]上海市政工程设计研究总院(集团)有限公司,200092 [2]南宁市排水有限责任公司,530000

出　　处：《特种结构》2025年第1期69-75,共7页Special Structures

摘　　要：为分析有压输水隧洞衬砌应力与围岩弹性抗力系数k、隧道内径B、衬砌壁厚t及内水压力P四个变量的变化关系,采用正交试验设计方法,在49组正交试验组合的数值模拟结果基础上,通过多元回归分析方法拟合出隧道拱顶衬砌应力与上述变量之间的回归公式。以某引水工程中的有压隧洞为例,利用拟合公式得到了不同变量组合下的拱顶衬砌应力,同时根据混凝土抗裂要求确定了衬砌最小配筋面积,并结合工程成本对衬砌壁厚和围岩加固措施提出了优化建议。工程分析表明,当围岩弹性抗力系数k偏小时,通过围岩加固措施提高k值能大幅减小截面弯矩,从而达到降低衬砌配筋量的目标。利用本文拟合公式可进行经济性比选以辅助设计人员快速得到工程经济性最优的设计方案。To explore the relationship between the lining stress of pressurized water tunnels and four key variables-elastic resistance coefficient of surrounding rock(k),tunnel inner diameter(B),lining thickness(t),and internal water pressure(P),an orthogonal experimental design method is proposed.In this paper,based on the numerical simulation results of 49 orthogonal tests,multivariate regression analysis is used to derive formulas describing the relationship between lining stress and these variables.Taking a pressurized water tunnel project as a case study,the fitted formulas are applied to calculate lining stress under different variable combinations.The minimum reinforcement requirements for the lining are determined based on concrete crack resistance criteria,and cost-efficient optimization recommendations for lining thickness and surrounding rock reinforcement are proposed.The results indicate that when the elastic resistance coefficient of the surrounding rock(k)is low,increasing the k value through reinforcement can significantly reduce sectional bending moments,thereby minimizing the required lining reinforcement.The regression formulas proposed in this study serve as a valuable tool for economic comparisons,enabling designers to efficiently identify the most cost-effective design solutions.

关 键 词：有压输水隧洞 多元回归分析 正交试验 衬砌应力 设计优化 

分 类 号：TU43[建筑科学—岩土工程]