(1. College of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;2. Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Shandong University of
Science and Technology,Qingdao,Shandong 266590,China)
Abstract:In shallow buried hard rock tunnels,the ground arching effect has a significant impact on tunnel stability. It is of great significance to clarify the interaction mechanism between the ground arching effect and tunnel support for determining the tunnel support pressure. In this study,a mechanical model has been constructed that can be applied to the laminated arch transfer effect in shallow buried tunnels based on the ground arch transfer effect. By analyzing the principal stress deflection and lateral limiting force of single-layer arches,the method for calculating the stress transfer in laminated arches is derived,and combined with the distribution characteristics of the principal stresses on the differential rock strips in the loosening zone,the formula for calculating the support pressure of shallow buried hard rock tunnels in stable state is obtained by using the limit equilibrium analysis method. Modelling tests and field monitoring are carried out to verify the applicability of the calculation method in the Qingdao Metro Line 6 project. The results show that:(1) The parametric sensitivity analysis indicate that the support pressure gradually decreases with the angle of internal friction. When the tunnel depth does not exceed the thickness of the maximum load transfer zone(namely H≤2.4B),the support pressure gradually increases with the tunnel depth,and the sensitivity of the support pressure decreases with the layers of laminated arches n. (2) The implementation of active support enhances the constrain effect of the surrounding rock,which further improves the critical instability load rating of the tunnel on the basis of significantly enhancing the mechanical properties of the tunnel's surrounding rock. Compared with passive support,the stress transfer effect of the enhanced laminated arch increases the load carrying capacity of the surrounding rock by 11.9%. (3) The average relative errors between the predicted and measured tunnel support pressure under different modes are within 20.9%,which indicates that the predicted tunnel support pressure is in good agreement with the measured value when considering the laminated arch transfer effect,thus verifying the accuracy and applicability of the support pressure calculation method. The results have a significant reference for the safety design and evaluation of shallow buried hard rock tunnel.
秦 哲1,2,刘文龙1,2,武发宇1,2,韩继欢1,2,李为腾1,2,冯 强1,2,刘永德1,2. 考虑层叠拱传递效应的浅埋硬岩隧道支护力研究及应用[J]. 岩石力学与工程学报, 2024, 43(9): 2165-2177.
QIN Zhe1,2,LIU Wenlong1,2,WU Fayu1,2,HAN Jihuan1,2,LI Weiteng1,2,FENG Qiang1,2,LIU Yongde1,2. Study and application of support pressure in shallow buried hard rock tunnels considering laminated arch transfer effect. , 2024, 43(9): 2165-2177.
[1] BIAN W H,YANG J,WANG K X,et al. Application of excavation compensation method for constructing shallowly-buried super-large span subway tunnel[J]. Case Studies in Construction Materials,2023,19:e02388.
[2] 汪 波,喻 炜,刘锦超,等. 交通/水工隧道中基于预应力锚固系统的及时主动支护理念及其技术实现[J]. 中国公路学报,2020,33(12):118–129.(WANG Bo,YU Wei,LIU Jinchao,et al. Timely-active support theory and its application in transportation/ hydraulic tunnels based on pre-stressed anchorage system[J]. China Journal of Highway and Transport,2020,33(12):118–129.(in Chinese))
[3] 娄培杰. 考虑土拱效应的浅埋隧道松动土压力计算方法[J]. 现代隧道技术,2017,54(4):56–62.(LOU Peijie. Calculation method for loosening earth pressure of a shallow-buried tunnel considering the soil arch effect[J]. Modern Tunnelling Technology,2017,54(4):56–62.(in Chinese))
[4] 赖丰文,陈福全,万梁龙. 考虑不完全土拱效应的浅层地基竖向应力计算[J]. 岩土力学,2018,39(7):2 546–2 554.(LAI Fengwen,CHEN Fuquan,WAN Lianglong. Vertical stress calculation of shallow foundations based on partially developed soil arching effect[J]. Rock and Soil Mechanics,2018,39(7):2 546–2 554.(in Chinese))
[5] LUO C Y,JIA Z P,LI Z,et al. Analyses on face stability of shallow tunnel considering different constitutive models[J]. Frontiers in Materials,2023,9:1112425.
[6] DU D C,DIAS D,YANG X L. Analysis of earth pressure for shallow square tunnels in anisotropic and non-homogeneous soils[J]. Computers and Geotechnics,2018,104:226–236.
[7] 安永林,李佳豪,谭格宇,等. 浅埋不等跨隧道围岩压力计算方法与影响规律研究[J]. 土木工程学报,2023,56(9):158–167.(AN Yonglin,LI Jiahao,TAN Geyu,et al. Study on calculation method and influence law of surrounding rock pressure of shallow buried unequal span tunnels[J]. China Civil Engineering Journal,2023,56(9):158–167.(in Chinese))
[8] 孙 闯,兰思琦,陶 琦,等. 深埋隧道软弱围岩拱顶三维渐进性塌落机制上限分析[J]. 岩土力学,2023,44(9):2 471–2 484.(SUN Chuang,LAN Siqi,TAO Qi,et al. Upper bound analysis of three-dimensional progressive collapse mechanism of deep tunnel roof with weak surrounding rock[J]. Rock and Soil Mechanics,2023,44(9):2 471–2 484.(in Chinese))
[9] HABUMUREMYI P,XIANG Y Y. A 3-D analytical continuous upper bound limit analysis for face stability of shallow shield tunneling in undrained clays[J]. Computers and Geotechnics,2023,164:105779.
[10] 方 焘,梁 连,陈其志. 基于修正椭球体理论的隧道松动区及松动土压力研究[J]. 岩土工程学报,2023,45(6):1 113–1 122.(FANG Tao,LIANG Lian,CHEN Qizhi. Loosening zone and earth pressure around tunnels based on modified ellipsoid theory[J]. Chinese Journal of Geotechnical Engineering,2023,45(6):1 113–1 122.(in Chinese))
[11] FANG X,KIKUMOTO M,CUI Y. A theory of loosening earth pressure above a shallow tunnel in unsaturated ground[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2020,44(10):1 495–1 508.
[12] 汪大海,贺少辉,刘夏冰,等. 地层渐进成拱对浅埋隧道上覆土压力影响研究[J]. 岩土力学,2019,40(6):2 311–2 322.(WANG Dahai,HE Shaohui,LIU Xiabing,et al. Studies of the progressive ground arching on the loosening pressure above shallow tunnels[J]. Rock and Soil Mechanics,2019,40(6):2 311–2 322.(in Chinese))
[13] 苏 雅,苏永华,赵明华. 基于Hoek-Brwon准则的软岩隧道围岩极限变形估算方法[J]. 岩石力学与工程学报,2021,40(增2):3 033–3 040.(SU Ya,SU Yonghua,ZHAO Minghua. An evaluation approach to ultimate deformation of tunnel surrounding rock in weak rocks based on the Hoek-Brown criterion[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(Supp.2):3 033–3 040.(in Chinese))
[14] WU J,LIAO S M,LIU M B. An analytical solution for the arching effect induced by ground loss of tunneling in sand[J]. Tunnelling and Underground Space Technology,2019,83:175–186.
[15] GHORBAN K,HOSSEIN M K. An analytical investigation of soil arching induced by tunneling in sandy ground[J]. Tunnelling and Underground Space Technology,2023,140:105242.
[16] 昝文博,赖金星,邱军领,等. 松散堆积体隧道压力拱效应试验与数值模拟[J]. 岩土工程学报,2021,43(9):1 666–1 674.(ZAN Wenbo,LAI Jinxing,QIU Junling,et al. Experiments and numerical simulations on pressure-arch effect for a tunnel in loose deposits[J]. Chinese Journal of Geotechnical Engineering,2021,43(9):1 666–1 674.(in Chinese))
[17] LIU C,ZHANG S L,ZHANG D L,et al. Model tests on progressive collapse mechanism of a shallow subway tunnel in soft upper and hard lower composite strata[J]. Tunnelling and Underground Space Technology,2023,131:104824.
[18] LIN X T,CHEN R P,WU H N,et al. Calculation of earth pressure distribution on the deep circular tunnel considering stress-transfer mechanisms in different zones[J]. Tunnelling and Underground Space Technology,2022,199:104211.
[19] 张 宇,陶连金,刘 军,等. 考虑主应力偏转和土拱效应的干砂盾构隧道掌子面极限支护力计算方法研究[J]. 岩土工程学报,2023,45(3):530–540.(ZHANG Yu,TAO Lianjin,LIU Jun,et al. Method for calculating limit support pressure of face of shield tunnels considering principal stress axis rotation and soil arching effects in dry sand[J]. Chinese Journal of Geotechnical Engineering,2023,45(3):530–540.(in Chinese))
[20] 金 成,吴 帆,孙前伟,等. 竖向分层土质地层盾构支护力上限分析及应用[J]. 岩土工程技术,2022,36(4):271–277.(JIN Cheng,WU Fan,SUN Qianwei,et al. Upper bound analysis and application for shield supporting pressure in vertical layered soil stratum[J]. Geotechnical Engineering Technique,2022,36(4):271–277.(in Chinese))
[21] 张孟喜,戴治恒,张晓清,等. 考虑主应力轴偏转的深埋盾构隧道开挖面主动极限支护压力计算方法[J]. 岩石力学与工程学报,2021,40(11):2 366–2 376.(ZHANG Mengxi,DAI Zhiheng,ZHANG Xiaoqing,et al. A calculation method of active limit support pressure for deep shield tunnels considering principal stress axis rotation[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(11):2 366–2 376.(in Chinese))
[22] CHEN R P,LIN X T,WU H N. An analytical model to predict the limit support pressure on a deep shield tunnel face[J]. Computers and Geotechnics,2019,115:103174.
[23] LAI H J,ZHENG J J,ZHANG R J,et al. Classification and characteristics of soil arching structures in pile-supported embankments[J]. Computers and Geotechnics,2018,98:153–171.
[24] 雷华阳,刘 旭,加 瑞,等. 考虑土拱渐进发展的松动土压力研究[J]. 岩土工程学报,2021,43(8):1 434–1 442.(LEI Huayang,LIU Xu,JIA Rui,et al. Loosening earth pressure considering progressive development of soil arching[J]. Chinese Journal of Geotechnical Engineering,2021,43(8):1 434–1 442.(in Chinese))
[25] 余 涛,方 勇,姚志刚,等. 隧道预应力锚杆锚固结构承载效应及围岩力学分析[J]. 岩土工程学报,2022,44(6):1 069–1 077.(YU Tao,FANG Yong,YAO Zhigang,et al. Bearing effect of prestressed bolt-anchored structures and mechanical analysis of surrounding rock[J]. Chinese Journal of Geotechnical Engineering,2022,44(6):1 069–1 077.(in Chinese))
[26] 李英明,王想君,赵光明,等. 基于软岩巷道围岩峰后变形的全长锚固锚杆力学特征分析[J]. 岩石力学与工程学报,2023,42(增2):3 897–3 912.(LI Yingming,WANG Xiangjun,ZHAO Guangming,et al. Mechanical characteristics analysis of full-length anchorage bolt based on post peak deformation of surrounding rock in soft rock roadway[J]. Chinese Journal of Rock Mechanics and Engineering,2023,42(Supp.2):3 897–3 912.(in Chinese))
[27] 徐海岩,王志杰,陈昌健,等. 土砂互层隧道塌方及演变规律的模型试验研究[J]. 岩土工程学报,2021,43(6):1 050–1 058.(XU Haiyan,WANG Zhijie,CHEN Changjian,et al. Model tests on characteristics and evolution of tunnel collapse in soil-sand interbedded strata[J]. Chinese Journal of Geotechnical Engineering,2021,43(6):1 050–1 058.(in Chinese))
[28] 陶志刚,任树林,何满潮,等. 地下工程微观NPR锚杆钢静力拉伸及锚固抗剪力学特性[J]. 煤炭学报,2022,47(02):683–694. (TAO Zhigang,REN Shulin,HE Manchao,et al. Static tensile and bolting shear mechanical properties of micro-NPR bolt steel in underground engineering[J]. Journal of China Coal Society,2022,47(2):683–694.(in Chinese))