(1. Faculty of Land Resources Engineering，Kunming University of Science and Technology，Kunming，Yunnan 650093，China；2. Yunnan Dianzhong Water Diversion Engineering Co.，Ltd.，Kunming，Yunnan 650093，China；3. MNR Key Laboratory of Plateau Geohazards Monitoring and Warning and Ecological Conservation and Restoration，Kunming，Yunnan 650093，China)
Abstract：To solve the stability analysis problem of the tunnel construction stage under complex geological occurrence conditions，based on the Hoek-Brown strength criterion，this paper obtains the calculation formula of the plastic zone radius of the circular tunnel under the condition of lateral pressure coefficient of 1.0. And the evolution coefficient of the surrounding rock plastic zone was proposed. The relationship between the evolution coefficient of the surrounding rock plastic zone and the buried depth of the tunnel and geological strength index GSI was studied. Taking part of the Chuxiong section of the Dianzhong Water Diversion Project as the engineering background，the uniaxial compressive strength of argillaceous siltstone in the cave section was obtained by a point load tester，and one of the key parameters of Hoek-Brown-rock material constant was determined by combination with tensile strength. Combined with the longitudinal deformation curve of the surrounding rock，the characteristic curve of the surrounding rock，and the support characteristic curve，the stability of the primary support structure of the Wuzhuangcun tunnel was analyzed，and compared with the Carranza normalization method. The results show that with the decrease in the quality of the surrounding rock and the increase of the buried depth，the range of surrounding rock that enters the plastic state after tunnel excavation also increases. The plastic zone range of surrounding rock obtained by this method is larger than that obtained by the Carranza normalization method. For this tunnel，the safety factor of the existing primary support structure is greater than 1.0，which can keep the tunnel stable，and the stability analysis using the proposed method is safer and more conservative than the normalization method using Carranza，which is beneficial for the safe construction of soft rock tunnel engineering under complex geological conditions.
[1] 马念杰，李 季，赵志强. 圆形巷道围岩偏应力场及塑性区分布规律研究[J]. 中国矿业大学学报，2015，44(2)：206–213.(MA Nianjie，LI Ji，ZHAO Zhiqiang. Distribution of the deviatoric stress field and plastic zone in circular roadway surrounding rock[J]. Journal of China University of Mining and Technology，2015，44(2)：206–213.(in Chinese))
[2] 郭晓菲，马念杰，赵希栋，等. 圆形巷道围岩塑性区的一般形态及其判定准则[J]. 煤炭学报，2016，41(8)：1 871–1 877.(GUO Xiaofei，MA Nianjie，ZHAO Xidong，et al. General shapes and criterion for surrounding rock mass plastic zone of round roadway[J]. Journal of China Coal Society，2016，41(8)：1 871–1 877.(in Chinese))
[3] 李 季，强旭博，马念杰，等. 巷道围岩蝶形塑性区蝶叶方向性形成机制及工程应用[J]. 煤炭学报，2021，46(9)：2 838–2 852.(LI Ji，QIANG Xubo，MA Nianjie，et al. Formation mechanism and engineering application of the directionality of butterfly leaf in the butterfly plastic zone of roadway rock surrounded[J]. Journal of China Coal Society，2021，46(9)：2 838–2 852.(in Chinese))
[4] 蒋斌松，张 强，贺永年，等. 深部圆形巷道破裂围岩的弹塑性分析[J]. 岩石力学与工程学报，2007，26(5)：982–986.(JIANG Binsong，ZHANG Qiang，HE Yongnian，et al. Elastoplastic analysis of cracked surrounding rocks in deep circular openings[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(5)：982–986.(in Chinese))
[5] CARRANZA-TORRES C，FAIRHURST C. The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(6)：777–809.
[6] CARRANZA-TORRES C. Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(Supp.1)：629–639.
[7] SHARAN S K. Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(4)：542–549.
[8] 晏 勤，李树忱，谢 璨，等. 锚杆加固作用下圆形隧道复合岩体围岩特征曲线解析方法研究[J]. 岩石力学与工程学报，2017，36(12)：3 021–3 027.(YAN Qin，LI Shuchen，XIE Can，et al. Analytical solution for ground characteristic curve of composite rock mass reinforced by bolts in circular tunnels[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(12)：3 021–3 027.(in Chinese))
[9] 王永红，杜 文，张国辉，等. 基于广义GZZ强度准则的深埋隧道围岩塑性分析及应用探讨[J]. 岩土力学，2022，43(3)：819–830.(WANG Yonghong，DU Wen，ZHANG Guohui，et al. An elasto-plastic analysis of a deep buried tunnel in rock mass based on GZZ strength criterion and preliminary application[J]. Rock and Soil Mechanics，2022，43(3)：819–830.(in Chinese))
[10] 张继华，王连国，朱双双，等. 松散软岩巷道围岩塑性区扩展分析及支护实践[J]. 采矿与安全工程学报，2015，32(3)：433–438. (ZHANG Jihua，WANG Lianguo，ZHU Shuangshuang，et al. Mechanical analysis of the plastic zones propagation of loose soft rock roadway and the supporting practice[J]. Journal of Mining and Safety Engineering，2015，32(3)：433–438.(in Chinese))
[11] ZHOU P，ZHOU F C，LIN J Y，et al. Decoupling analysis of interaction between tunnel surrounding rock and support in Xigeda formation strata[J]. KSCE Journal of Civil Engineering，2021，25(12)：4 897–4 912.
[12] VLACHOPOULOS N，DIEDERICHS M S. Improved longitudinal displacement profiles for convergence confinement analysis of deep tunnels[J]. Rock Mechanics and Rock Engineering，2009，42(2)：131–146.
[13] CARRANZA-TORRES C，FAIRHURST C. Application of the Convergence-Confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion[J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research，2000，15(2)：187–213.
[14] 苏永华，刘少峰，王凯旋，等. 基于收敛–约束原理的地下结构稳定性分析[J]. 岩土工程学报，2014，36(11)：2 002–2 009.(SU Yonghua，LIU Shaofeng，WANG Kaixuan，et al. Stability analysis of underground structures based on convergence-confinement method[J]. Chinese Journal of Rock Mechanics and Engineering，2014，36(11)：2 002–2009.(in Chinese))
[15] 孙 闯，张向东，李永靖. 高应力软岩巷道围岩与支护结构相互作用分析[J]. 岩土力学，2013，34(9)：2 601–2 607.(SUN Chuang，ZHANG Xiangdong，LI Yongjing. Analysis of interaction between surrounding rock and support structure in high stressed soft rock roadway[J]. Rock and Soil Mechanics，2013，34(9)：2 601–2 607.(in Chinese))
[16] 陈峰宾，张顶立，扈世民，等. 基于收敛约束原理的大断面黄土隧道围岩与初支稳定性分析[J]. 北京交通大学学报，2011，35(4)：28–32.(CHEN Fengbin，ZHANG Dingli，HU Shimin，et al. Stability analysis of surrounding rock and supports in large-span loess tunnel using the convergence-confinement method[J]. Journal of Beijing Jiaotong University，2011，35(4)：28–32.(in Chinese))
[17] 张德华，刘士海，任少强. 基于围岩–支护特征理论的高地应力软岩隧道初期支护选型研究[J]. 土木工程学报，2015，48(1)：139–148.(ZHANG Dehua，LIU Shihai，REN Shaoqiang. Research on selection of preliminary support for tunnel in high ground-stress soft rock based on surrounding rock-support characteristic curve theory[J]. China Civil Engineering Journal，2015，48(1)：139–148.(in Chinese))
[18] 吴顺川，耿晓杰，高永涛，等. 基于广义Hoek-Brown准则的隧道纵向变形曲线研究[J]. 岩土力学，2015，36(4)：946–952.(WU Shunchuan，GENG Xiaojie，GAO Yongtao，et al. A study of the longitudinal deformation of tunnels based on the generalized Hoek-Brown failure criterion[J]. Rock and Soil Mechanics，2015，36(4)：946–952.(in Chinese))
[19] FAN W，YU M H，DENG L S，et al. New strength formulae for rock surrounding a circular opening[J].Canadian Geotechnical Journal，2013，50(7)，https://doi.org/10.1139/cgj-2012-0001.
[20] CARRANZA-TORRES C，FAIRHURST C. The elastoplastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J]. Tunneling and Underground Space Technology，1999，36(6)：777–809.
[21] HOEK E，BROWN E T. The Hoek-Brown failure criterion and GSI-2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering，2019，11(3)：445–463.
[22] HOEK E，CARRANZA-TORRES C，CORKUM B. Hoek-Brown failure criterion—2002 edition[C]// Proceedings of the North American Rock Mechanics Society NARMS-TAC 2002. Toronto：University of Toronto Press，2002：267–273.
[23] 吴顺川. 岩石力学[M]. 北京：高等教育出版社，2021：151.(WU Shunchuan. Rock mechanics[M]. Beijing：Higher Education Press，2021：151.(in Chinese))
[24] HOEK E，DIEDERICHS M S. Empirical estimation of rock mass modulus[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(2)：203–215.
[25] VÁSÁRHELYI B. A possible method for estimating the Poisson's rate values of the rock masses[J]. Acta Geodaetica Et Geophysica Hungarica，2009，44(3)：313–322.
[26] PANET M. Le Calcul des tunnels par la méthode de convergence-confinement[M]. Paris：Press de l′école Nationale des Ponts et Chaussées，1995：178.
[27] UNLU T，GERCEK H. Effect of Possion's ratio on the normalized radial displacements occurring around the face of a circular tunnel[J]. Tunneling and Underground Space Technology，2003，18：547–553.
[28] CHERN J C，SHIAO F Y，YU C W. An empirical safety criterion for tunnel construction[C]// Proceedings of the Regional Symposium on Sedimentary Rock Engineering. Taipei：[s. n.]，1998：222–227.
[29] 杨 旸，谭忠盛，薛 君，等. 公路隧道软弱破碎围岩高强钢筋格栅拱架支护性能研究[J]. 中国公路学报，2020，33(2)：125–134.(YANG Yang，TAN Zhongshen，XUE Jun，et al. High-strength lattice griders supporting performance highway tunnel with soft broken surrounding rock[J]. China Journal of Highway and Transoprt，2020，33(2)：125–134.(in Chinese))
[30] HOEK E，MARINOS P. Predicting tunnel squeezing problems in weak heterogeneous rock masses[J]. Tunnels and Tunnelling International，2000，32(11)：45–51.
[31] ORESTE P P. Analysis of structural interaction in tunnels using the convergence–confinement approach[J]. Tunnelling and Underground Space Technology，2003，18(4)：347–363.
[32] 耿晓杰. 深埋条件下隧道稳定性评价方法及应用研究[博士学位论文][D]. 北京：北京科技大学，2015.(GENG Xiaojie. Research on stability evaluation method and application of deep tunnel[Ph. D. Thesis][D]. Beijing：University of Science and Technology Beijing，2015.(in Chinese))
[33] KARAKUS M，TUTMEZ B. Fuzzy and multiple regression modelling for evaluation of intact rock strength based on point load，schmidt hammer and sonic velocity[J]. Rock Mechanics and Rock Engineering，2006，39(1)：45–57.
[34] KARAKUS M，KUMRAL M，KILIC O. Predicting elastic properties of intact rocks from index tests using multiple regression modelling[J]. International Journal of Rock Mechanics and Mining Sciences，2004，42(2)：323–330.
[35] SHEN J Y，KARAKUS M. Simplified method for estimating the Hoek-Brown constant for intact rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering，2014，140(6)，https://doi.org/10.1061/ (ASCE)GT.1943-5606.0001116.
[36] HE M M，ZHANG Z Q，ZHENG J，et al. A new perspective on the constant mi of the Hoek–Brown failure criterion and a new model for determining the residual strength of rock[J]. Rock Mechanics and Rock Engineering，2020，53：3 953–3 967.
[37] SHARAN S K. Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences，2007，45(1)：78–85.
2024, Vol. 43 
