基于PCA-杜芬方程的隧道围岩状态突变风险分析  

Risk Analysis of Sudden Change of Tunnel Surrounding Rock State Based on PCA-Duffing Equation

作　　者：王洪德 王晓晗 WANG Hongde;WANG Xiaohann(School of Traffic and Transportation Engineering,Dalian Jiaotong University,Dalian 116028,China;Tunnel Engineering and Disaster Prevention&Control Professional Technology Innovation Center,Dalian 116028,China;Hubei Provincial Communications Investment West Hube Expressway Construction Management Co.,Ltd,Enshi 445002,China)

机构地区：[1]大连交通大学交通运输工程学院,辽宁大连116028 [2]辽宁省隧道工程及灾害防控专业技术创新中心,辽宁大连116028 [3]湖北交投鄂西高速公路建设管理有限公司,湖北恩施445002

出　　处：《大连交通大学学报》2023年第4期86-93,共8页Journal of Dalian Jiaotong University

基　　金：国家自然科学基金资助项目(U1261121/E0422);中国铁路总公司科技研究开发计划资助项目(2015Z002)。

摘　　要：为提高隧道围岩状态突变风险的评估能力和优化隧道施工措施,首先,结合某在建隧道工程实际,运用主成分分析(PCA)法对其围岩状态影响因素进行筛选,找出累计贡献率较大的3个影响因素(围岩状态、施工工法、支护情况);其次,将这3个影响因素指标作为参数,代入杜芬方程,并通过加入阻尼系数的方式,对隧道围岩状态突变风险进行仿真;最后,基于仿真结果分析,找出该隧道的围岩位移风险并提出相应措施。研究结果表明:通过在杜芬方程中增加含阻尼及含幅值调节反馈控制函数,找出了围岩突变的内因,并针对该项工程提出了具体控制措施,即施工至含水地带时的支护强度需增加28.6%,施工对围岩造成的扰动需降低18.2%,以期达到防止施工过程中围岩状态突变的效果。In order to improve the evaluation ability of the sudden change risk of tunnel surrounding rock and optimize the tunnel construction measures,the reality of a tunnel under construction is combined,and principal component analysis(PCA)method is used to screen the influencing factors of its surrounding rock.Three main influencing factors(the state of surrounding rock,the construction method and the supporting condition)are found out,and the three influencing factors are brought into Duffing's equation with the addition of damping coefficient.Finally,the displacement risk of the surrounding rock of the tunnel under construction is found out and the corresponding measures are proposed based on the analysis of the simulation results.The results show that the internal cause of the sudden change of surrounding rock is found by adding the feedback control function with damping and amplitude in Duffing's equation,and the concrete control measures are proposed.The support strength should be increased by 28.6%and the disturbance to the surrounding rock should be reduced by 18.2%in order to prevent the sudden change of surrounding rock during construction.

关 键 词：隧道工程 围岩突变 主成分分析 杜芬方程 反馈控制函数 

分 类 号：U451.2[建筑科学—桥梁与隧道工程]