考虑开挖卸荷应力重分布的顶拱围岩塌落深度解析分析方法  

Analytical Depth Analysis Method for Collapse of Top Arch Surrounding Rock Considering Excavation Unloading Stress Redistribution

作　　者：黄书岭[1] 于国起 张雨霆[1] 王祥祥 郁培阳 HUANG Shu-ling;YU Guo-qi;ZHANG Yu-ting;WANG Xiang-xiang;YU Pei-yang(Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources,Changjiang River Scientific Research Institute,Wuhan 430010,China)

机构地区：[1]长江科学院水利部岩土力学与工程重点实验室,湖北武汉430010

出　　处：《水电能源科学》2025年第3期119-122,118,共5页Water Resources and Power

基　　金：国家自然科学基金项目(U2340229,52309122);北京江河水利发展基金会水利青年科技英才项目(JHYC202305);长江科学院创新团队(CKSF2024329/YT);中央级公益性科研院所基本科研业务费项目(CKSF2023316/YT)。

摘　　要：输水隧洞穿越断层破碎带地层易发顶拱垮塌失稳破坏,现有地下洞室拱效应分析方法还缺少能够考虑围岩卸荷应力重分布的塌落深度解析分析方法。为此,提出了考虑围岩重分布应力加持作用的顶拱自稳高度概念,结合圆形隧洞围岩径向和切向应力解析解,基于三角形塌落拱形态,推导得到顶拱自稳高度和考虑围岩重分布应力加持作用的实际塌落深度解析表达式,实现了基于迭代法的顶拱塌落深度。案例分析结果表明,所提解析分析方法能够更准确地预测地下洞室顶拱围岩塌腔深度并确定围岩支护力,为穿越断层破碎带的隧洞施工提供更准确的动态设计依据。Water conveyance tunnels passing through geological fault zones are prone to top arch collapse failure.Current related methods lack the analytical solution of collapse depth that can take into account the redistribution of the unloading stress in the surrounding rock.The concept of self-stabilizing height of the top arch based on the clamping effect of the redistributed stresses in the surrounding rock is proposed.Combining the analytical solution of radial and tangential stresses in the surrounding rock of a circular tunnel,the analytical form of the self-stabilizing height of the top arch and the actual depth of collapse is derived based on the morphology of the triangular collapsed arch.Then,the collapse depth of top arch based iterative method is realized.The case study shows that the proposed analytical formula can more accurately predict the collapse depth of the top arch and determine the support force of the surrounding rock,which provides a more accurate dynamic design basis for the construction of tunnels crossing fault fracture zones.

关 键 词：开挖卸荷 拱效应 应力重分布 塌落深度 解析解 

分 类 号：TV554[水利工程—水利水电工程]