GZZ岩体强度三维分析理论与深埋隧道应力控制设计分析方法

doi:10.13722/j.cnki.jrme.2022.0667

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Abstract The unloading of deep rock mass shows significant three-dimensional and nonlinear mechanical characteristics，and the design analysis method and engineering experience based on shallow tunnels cannot be directly transferred to deep engineering. The traditional calculation model does not reflect the mechanical characteristics of the deep rock mass. The generalized rock mass parameters are mainly determined by the displacement back analysis，and there is still a lack of design analysis theory and method for real-time and accurate acquisition of rock mass parameters and dynamic diagnosis of deep tunnels. The theoretical basis，in-situ parameter acquisition and applicability of GZZ rock mass strength based 3D continuous analysis method for deep rock mass are reviewed and studied. The non-associated plastic flow rule and elastoplastic constitutive model，considering 3D strength and dilatancy effect of deep rock mass，have been verified by true triaxial rock experiments，physical model tunnels，and in-situ tunnel monitoring data. The digital in-situ testing technology is promising to the obtain mechanical parameters of rock mass and thus to realize the 3D positive analysis and real-time design of deep tunneling，which overcomes the limitations of traditional displacement-based back analysis approach. It reveals the 3D extrusion law of the deep tunnel face and the mechanical mechanism of the principal stress rotation，and expounds the mechanical influence mechanism of the intermediate principal stress and the 3D stress state on the stability of the deep tunnel. The significance of the stress control-based design method and analysis idea in the deep tunneling precise analysis and control is discussed and investigated，which provides theoretical basis and technical support for intelligent construction and real-time design of deep and ultra-deep tunnels.

Key words： rock mechanics GZZ rock mass strength three-dimensional forward analysis deep tunneling stress control digital in-situ testing

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	ZHU Hehua1
	2
	CAI Wuqiang1
	LIANG Wenhao1
	3

Cite this article:

ZHU Hehua1,2,CAI Wuqiang1, et al. GZZ strength-based three-dimensional analysis theory and stress-controlled design method in deep tunneling[J]. , 2023, 42(1): 1-27.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2022.0667 OR https://rockmech.whrsm.ac.cn/EN/Y2023/V42/I1/1

[1] QIAN Q H，ZHOU X P. Failure behaviors and rock deformation during excavation of underground cavern group for Jinping I hydropower station[J]. Rock Mechanics and Rock Engineering，2018，51(8)：2 639–2 651. [2] 周小平，钱七虎，杨海清. 深部岩体强度准则[J]. 岩石力学与工程学报，2008，27(1)：117–123.(ZHOU Xiaoping，QIAN Qihu，YANG Haiqing. Strength criteria of deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(1)：117–123.(in Chinese)) [3] WAGNER H. Deep mining：a rock engineering challenge[J]. Rock Mechanics and Rock Engineering，2019，52(5)：1 417–1 446. [4] XIE H P，GAO M Z，ZHANG R，et al. Study on the mechanical properties and mechanical response of coal mining at 1 000 m or deeper[J]. Rock Mechanics and Rock Engineering，2019，52(5)：1 475–1 490. [5] SINGH J，RAMAMURTHY T，RAO G V. Strength of rocks at depth[C]// International Symposium on Rock at Great Depth. Publ Rotterdam：A A Balkema，1989：37–44. [6] HOEK E，BROWN E T. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences，1997，34(8)：1 165–1 186. [7] FENG X T，GUO H S，YANG C X，et al. In situ observation and evaluation of zonal disintegration affected by existing fractures in deep hard rock tunneling[J]. Engineering Geology，2018，242：1–11. [8] FENG X T，LIU J P，CHEN B R，et al. Monitoring，warning，and control of rockburst in deep metal mines[J]. Engineering，2017，3(4)：538–545. [9] ZHU H H，YAN J X，LIANG W H. Challenges and development prospects of ultra-long and ultra-deep mountain tunnels[J]. Engineering，2019，5(3)：384–392. [10] HOEK E，GUEVARA R. Overcoming squeezing in the Yacambú-quibor tunnel，Venezuela[J]. Rock Mechanics and Rock Engineering，2009，42(2)：389–418. [11] 蔡武强. 岩体三维精细本构理论与深埋隧道应力控制设计分析方法[博士学位论文][D]. 上海：同济大学，2022.(CAI Wuqiang. Three-dimensional refined constitutive theory of rock mass and its integration in stress control-based design and analysis of deep tunnel[Ph. D. Thesis][D]. Shanghai：Tongji University，2022.(in Chinese)) [12] HAIMSON B C. The hydrofracturing stress measuring method and recent field results[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1978，15(4)：167–178. [13] GONG F Q，WU W X，LI T B，et al. Experimental simulation and investigation of spalling failure of rectangular tunnel under different three-dimensional stress states[J]. International Journal of Rock Mechanics and Mining Sciences，2019，122：104081. [14] FENG X T，XU H，YANG C X，et al. Influence of loading and unloading stress paths on the deformation and failure features of jinping marble under true triaxial compression[J]. Rock Mechanics and Rock Engineering，2020，53(7)：3 287–3 301. [15] HOEK E，BROWN E T. Underground excavations in rock[M]. [S. l.]：CRC Press，1980：131–178. [16] HUDSON J A. Rock engineering systems：theory and practice[M]. New York：Ellis Horwood，1992：25–80. [17] 谢和平. “深部岩体力学与开采理论”研究构想与预期成果展望[J]. 工程科学与技术，2017，49(2)：1–16.(XIE Heping. Research framework and anticipated results of deep rock mechanics and mining theory[J]. Advanced Engineering Sciences，2017，49(2)：1–16.(in Chinese)) [18] 何满潮，谢和平，彭苏萍，等. 深部开采岩体力学研究[J]. 岩石力学与工程学报，2005，24(16)：2 803–2 813.(HE Manchao，XIE Heping，PENG Suping，et al. Study on rock mechanics in deep mining engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(16)：2 803–2 813.(in Chinese)) [19] 冯夏庭. 深埋硬岩隧洞动态设计方法[M]. 北京：科学出版社，2020：1–30.(FENG Xiating. Dynamic design method for deep tunnels in hard rock[M]. Beijing：Science Press，2020：1–30.(in Chinese)) [20] 谢和平. 深部岩体力学与开采理论研究进展[J]. 煤炭学报，2019，44(5)：1 283–1 305.(XIE Heping. Research review of the state key research development program of China：Deep rock mechanics and mining theory[J]. Journal of China Coal Society，2019，44(5)：1 283–1 305.(in Chinese)) [21] CAI W Q，ZHU H H，LIANG W H，et al. Three-dimensional forward analysis and real-time design of deep tunneling based on digital in-situ testing[J]. International Journal of Mechanical Sciences，2022，226：107385. [22] 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. [23] LI F，WANG J A，BRIGHAM J C. Inverse calculation of in situ stress in rock mass using the surrogate-model accelerated random search algorithm[J]. Computers and Geotechnics，2014，61：24–32. [24] AJALLOEIAN R，LASHKARIPOUR G R. Strength anisotropies in mudrocks[J]. Bulletin of Engineering Geology and the Environment，2000，59(3)：195–199. [25] TSIDZI K E N. The Influence of foliation on point load strength anisotropy of foliated rocks[J]. Engineering Geology，1990，29(1)：49–58. [26] SETO M，NAG D K，VUTUKURI V S，et al. Effect of chemical additives on the strength of sandstone[J]. International Journal of Rock Mechanics and Mining Sciences，1997，34(3)：280.e281–280.e211. [27] CLAESSON J，BOHLOLI B. Brazilian test：stress field and tensile strength of anisotropic rocks using an analytical solution[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(8)：991–1 004. [28] FAHIMIFAR A，SOROUSH H. Geotechnical parameters characteristics for a kind of schist in Iran[C]// Proceedings of the 10th ISRM Congress. [S. l.]：[s. n.]，2003：1–6. [29] SAROGLOU H，MARINOS P，TSIAMBAOS G. The anisotropic nature of selected metamorphic rocks from greece[J]. Journal of the South African Institute of Mining and Metallurgy，2004，104(4)：217–222. [30] 郭松峰，祁生文，黄晓林. 岩体强度各向异性及其转化的应力条件[J]. 岩石力学与工程学报，2013，32(增2)：3 222–3 227.(GUO Songfeng，QI Shengwen，HUANG Xiaolin. Anisotropy of rockmass strength and its transformation critical confining stress[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：3 222–3 227.(in Chinese)) [31] BROWN E T. Strength of models of rock with intermittent joints[J]. Journal of the Soil Mechanics Foundations Division，1970，96(6)：1 935–1 949. [32] CAI W Q，ZHU H H，LIANG W H. Three-dimensional tunnel face extrusion and reinforcement effects of underground excavations in deep rock masses[J]. International Journal of Rock Mechanics and Mining Sciences，2022，150：104999. [33] BARTON N，SHEN B T. Risk of shear failure and extensional failure around over-stressed excavations in brittle rock[J]. Journal of Rock Mechanics and Geotechnical Engineering，2017，9(2)：210–225. [34] FENG X T，YANG C X，KONG R，et al. Excavation-induced deep hard rock fracturing：Methodology and applications[J]. Journal of Rock Mechanics and Geotechnical Engineering，2022，14(1)：1–34. [35] 何满潮，钱七虎. 深部岩体力学基础[M]. 北京：科学出版社，2010：13–30.(HE Manchao，QIAN Qihu. The basis of deep rock mechanics[M]. Beijing：Science Press，2010：13–30.(in Chinese)) [36] 蔡武强，梁文灏，朱合华. 深埋岩体隧道开挖面三维非线性挤出效应分析[J]. 岩石力学与工程学报，2021，40(9)：1 868–1 883.(CAI Wuqiang，LIANG Wenhao，ZHU Hehua. Three-dimensional and nonlinear face extrusion effects of deep-buried rock tunnels under excavation unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(9)：1 868–1 883.(in Chinese)) [37] HOEK E，MARINOS P. Predicting tunnel squeezing problems in weak heterogeneous rock masses[J]. Tunnels and Tunnelling International，2000，32(11)：45–51. [38] FAMA D. Numerical modeling of yield zones in weak rock[M]. Pergamon，Oxford：[s. n.]，1993：49–75. [39] 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. [40] 俞茂宏，昝月稳，徐栓强. 岩石强度理论及其应用[M]. 北京：科学出版社，2017：117–141.(YU Maohong，ZAN Yuewen，XU Shuangqiang. Rock strength theory and its application [M]. Beijing：Science Press，2017：117–141.(in Chinese)) [41] MOGI K. Effect of the intermediate principal stress on rock failure[J]. Journal of Geophysical Research，1967，72(20)：5 117–5 131. [42] MOGI K. Fracture and flow of rocks under high triaxial compression[J]. Journal of Geophysical Research，1971，76(5)：1 255–1 269. [43] HOEK E，BROWN E T. Empirical strength criterion for rock masses[J]. Journal of the Geotechnical Engineering Division，ASCE，1980，106(9)：1 013–1 035. [44] MARINOS P，HOEK E. Estimating the geotechnical properties of heterogeneous rock masses such as flysch[J]. Bulletin of Engineering Geology and the Environment，2001，60(2)：85–92. [45] HOEK E，CARRANZA-TORRES C，CORKUM B. Hoek-Brown failure criterion-2002 edition[J]. Proceedings of NARMS-Tac，2002，1(1)：267–273. [46] PAN X D，HUDSON J A. A simplified three dimensional Hoek-Brown yield criterion[C]// Paper Presented at the ISRM International Symposium. Madrid，Spain：[s. n.]，1988：95–103. [47] CHANG C，HAIMSON B. True triaxial strength and deformability of the German Continental Deep Drilling Program(KTB) deep hole amphibolite[J]. Journal of Geophysical Research-Solid Earth，2000，105(B8)：18 999–19 013. [48] AL-AJMI A M，ZIMMERMAN R W. Relation between the Mogi and the Coulomb failure criteria[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(3)：431–439. [49] PRIEST S D. Determination of shear strength and three-dimensional yield strength for the hoek-brown criterion[J]. Rock Mechanics and Rock Engineering，2005，38(4)：299–327. [50] ZHANG L Y，ZHU H H. Three-dimensional Hoek-Brown strength criterion for rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering，2007，133(9)：1 128–1 135. [51] ZHANG L Y. A generalized three-dimensional Hoek-Brown strength criterion[J]. Rock Mechanics and Rock Engineering，2008，41(6)：893–915. [52] JIANG H，WANG X W，XIE Y L. New strength criteria for rocks under polyaxial compression[J]. Canadian Geotechnical Journal，2011，48(8)：1 233–1 245. [53] JIANG H，XIE Y L. A new three-dimensional Hoek-Brown strength criterion[J]. Acta Mechanica Sinica，2012，28(2)：393–406. [54] JIANG H，ZHAO J D. A simple three-dimensional failure criterion for rocks based on the Hoek-Brown criterion[J]. Rock Mechanics and Rock Engineering，2015，48(5)：1 807–1 819. [55] JIANG H. Three-dimensional failure criteria for rocks based on the Hoek-Brown criterion and a general lode dependence[J]. International Journal of Geomechanics，2017，17(8)：04017023. [56] JIANG H. A failure criterion for rocks and concrete based on the Hoek-Brown criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2017，95：62–72. [57] CAI W Q，ZHU H H，LIANG W H，et al. A new version of the generalized zhang-zhu strength criterion and a discussion on its smoothness and convexity[J]. Rock Mechanics and Rock Engineering，2021，54(8)：4 265–4 281. [58] ZHANG Q，ZHU H H，ZHANG L Y. Modification of a generalized three-dimensional Hoek-Brown strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2013，59：80–96. [59] 张琦. 广义三维Hoek-Brown岩体强度准则的修正及其参数多尺度研究[博士学位论文][D]；上海：同济大学，2013.(ZHANG Qi. Modification of generalized 3D Hoek-Brown rock masses strength criterion and its parameters multi-scale studies[Ph. D. Thesis][D]. Shanghai：Tongji University，2013.(in Chinese)) [60] WILLAM K J. Constitutive model for the triaxial behaviour of concrete[J]. International Association of Bridge Structural Engineers，1975，19：1–30. [61] 俞茂宏. 强度理论新体系[M]. 西安：西安交通大学出版社，1992：115–140.(YU Maohong. New System of Strength Theory [M]. Xi'an：Xi'an Jiaotong University Press，1992：115–140.(in Chinese)) [62] ZHANG L. A generalized three-dimensional Hoek-Brown strength criterion[J]. Rock Mechanics and Rock Engineering，2008，41(6)：893–915. [63] ZHU H H，ZHANG Q，HUANG B Q，et al. A constitutive model based on the modified generalized three-dimensional Hoek Brown strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences，2017，98：78–87. [64] VU B T，ZHU H H，XU Q W. Study on failure processes of rock tunnel by model tests and numerical analyses[C]// Proceedings of the Geotechnics for Sustainable Infrastructure Development. Hanoi，Vietnam：[s. n.]，2016：1–7. [65] VU B T. Investigation on progressive failure of deep weak rock tunnels by physical model tests and numerical analyses[Ph. D. Thesis][D]. Shanghai：Tongji University，2014. [66] HAN Q，FENG X T，YANG C X，et al. Evaluation of the crack propagation capacity of hard rock based on stress-induced deformation anisotropy and the propagation angle of volumetric strain[J]. Rock Mechanics and Rock Engineering，2021，54(12)：6 585–6 603. [67] HAIMSON B，CHANG C. A new true triaxial cell for testing mechanical properties of rock，and its use to determine rock strength and deformability of Westerly granite[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(1/2)：285–296. [68] ALEJANO L R，ARZUA J，BOZORGZADEH N，et al. Triaxial strength and deformability of intact and increasingly jointed granite samples[J]. International Journal of Rock Mechanics and Mining Sciences，2017，95：87–103. [69] RIBACCHI R. Mechanical tests on pervasively jointed rock material：Insight into rock mass behaviour[J]. Rock Mechanics and Rock Engineering，2000，33(4)：243–266. [70] WALTON G，DIEDERICHS M S. A new model for the dilation of brittle rocks based on laboratory compression test data with separate treatment of dilatancy mobilization and decay[J]. Geotechnical and Geological Engineering，2015，33(3)：661–679. [71] ARCHAMBAULT G，ROULEAU A，DAIGNEAULT R E F R. Progressive failure of rock masses by a self similar anastomosing process of rupture at all scales and its scale effect on their shear strength[C]// Proceedings of the Scale Effects in Rock Masses. Lisboa，Portugal：Balkema，1993：133–142. [72] 朱合华，黄伯麒，张琦，等. 基于广义Hoek-Brown准则的弹塑性本构模型及其数值实现[J]. 工程力学，2016，33(2)：41–49.(ZHU Hehua，HUANG Boqi，ZHANG Qi，et al. Elastoplastic rock constitutive model based on generalized hoek-brown strength criterion and its numerical implementation[J]. Engineering Mechanics，2016，33(2)：41–49.(in Chinese)) [73] PRIEST S. Three-dimensional failure criteria based on the Hoek-Brown criterion[J]. Rock Mechanics and Rock Engineering，2012，45(6)：989–993. [74] 夏才初，徐晨，刘宇鹏，等. 基于GZZ强度准则考虑应变软化特性的深埋隧道弹塑性解[J]. 岩石力学与工程学报，2018，37(11)：2 468–2 477.(XIA Caichu，XU Chen，LIU Yupeng，et al. Elastoplastic solution of deep buried tunnel considering strain-softening characteristics based on GZZ strength criterion [J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(11)：2 468–2 477.(in Chinese)) [75] CHEN H H，ZHU H H，ZHANG L Y. A unified constitutive model for rock based on newly modified GZZ criterion[J]. Rock Mechanics and Rock Engineering，2021，54(2)：921–935. [76] CHEN H H，ZHU H H，ZHANG L Y. Analytical solution for deep circular tunnels in rock with consideration of disturbed zone，3D strength and large strain[J]. Rock Mechanics and Rock Engineering，2021，54(3)：1 391–1 410. [77] XIA C C，XIA C，DU S G. Interaction between viscoelastic-plastic surrounding rock and support structure in deep tunnels considering stress path[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(9)：1 789–1 802. [78] XIA C C，XU C，LIU Y P，et al. Elastoplastic solution of deep buried tunnel considering strain-softening characteristics based on GZZ strength criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(11)：2 468–2 477. [79] 王永红，杜文，张国辉，等. 基于广义张–朱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 generalized Zhang-Zhu strength criterion and preliminary application[J]. Rock and Soil Mechanics，2022，43(3)：819–830.(in Chinese)) [80] ZOU J F，XIA Z Q，XU Y. Nonlinear visco-elasto-plastic solution of surrounding rock considering seepage force and 3-D Hoek-Brown failure criterion[J]. International Journal of Geotechnical Engineering，2017，11(3)：302–315. [81] ZOU J F，ZUO S Q，XU Y. Solution of strain-softening surrounding rock in deep tunnel incorporating 3D Hoek-Brown failure criterion and flow rule[J]. Mathematical Problems in Engineering，2016，2016(1)：1–12. [82] 中华人民共和国行业标准编写组. T/CSRME 004编写组at岩体真三轴现场试验规程[S]. 北京：中国水利水电出版社，2020.(The Professional Standards Compilation Group of the People?s Republic of China . T/CSRME 004—2020Specifications for in - situ true triaxial test of rock mass[S]. Beijing：China Water Power Press，2020.(in Chinese)) [83] VERMEER P A，DE BORST R. Non-associated plasticity for soils，concrete and rock[J]. HERON，1984，29(3)：1–64. [84] WANG F Y，QIAN D L. Difference solution for a circular tunnel excavated in strain-softening rock mass considering decayed confinement[J]. Tunnelling and Underground Space Technology，2018，82：66–81. [85] PARK K H，TONTAVANICH B，LEE J G. A simple procedure for ground response curve of circular tunnel in elastic-strain softening rock masses[J]. Tunnelling and Underground Space Technology，2008，23(2)：151–159. [86] ALEJANO L R，ALONSO E，RODRIGUEZ-DONO A，et al. Application of the convergence-confinement method to tunnels in rock masses exhibiting Hoek-Brown strain-softening behaviour[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(1)：150–160. [87] WALTON G，DIEDERICHS M S，ALEJANO L R，et al. Verification of a laboratory-based dilation model for in situ conditions using continuum models[J]. Journal of Rock Mechanics and Geotechnical Engineering，2014，6(6)：522–534. [88] ZHAO X G，CAI M. Influence of plastic shear strain and confinement-dependent rock dilation on rock failure and displacement near an excavation boundary[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(5)：723–738. [89] DETOURNAY E. Elastoplastic model of a deep tunnel for a rock with variable dilatancy[J]. Rock Mechanics and Rock Engineering，1986，19(2)：99–108. [90] FARMER I W. Engineering behaviour of rocks[M]. [S. l.]：Springer Science and Business Media，2012：33–80. [91] STERPI D. An analysis of geotechnical problems involving strain softening effects[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1999，23(13)：1 427–1 454. [92] LU A Z，XU G S，SUN F，et al. Elasto-plastic analysis of a circular tunnel including the effect of the axial in situ stress[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(1)：50–59. [93] CUI L，ZHENG J J，ZHANG R J，et al. A numerical procedure for the fictitious support pressure in the application of the convergence–confinement method for circular tunnel design[J]. International Journal of Rock Mechanics and Mining Sciences，2015，78：336–349. [94] WANG S L，ZHENG H，LI C G，et al. A finite element implementation of strain-softening rock mass[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(1)：67–76. [95] CUNDALL P，CARRANZA-TORRES C，HART R. A new constitutive model based on the Hoek-Brown criterion[C]// Proceedings of the Third International FLAC Symposium. “FLAC andNumerical Modeling in Geomechanics”. Sudbury，Canada：[s. n.]，2003：17–25. [96] ALEJANO L R，ALONSO E. Considerations of the dilatancy angle in rocks and rock masses[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(4)：481–507. [97] STARFIELD A M，CUNDALL P. Towards a methodology for rock mechanics modelling [J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1988，25(3)：99–106. [98] ZHAO X G，CAI M. A mobilized dilation angle model for rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(3)：368–384. [99] YUAN S C，HARRISON J P. An empirical dilatancy index for the dilatant deformation of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(4)：679–686. [100] CAI W Q，ZHU H H，LIANG W H，et al. A post-peak dilatancy model for soft rock and its application in deep tunnel excavation[J]. Journal of Rock Mechanics and Geotechnical Engineering，DOI：https：//doi.org/ 10.1016/j.jrmge.2022.05.014 [101] ALONSO E，ALEJANO L R，FDEZ-MANIN G，et al. Influence of post-peak properties in the application of the convergence-confinement method for designing underground excavations[C]// Proceedings of the 5th International Conference and Exhibition on Massive Mining Technology. Lulea，Sweden：[s. n.]，2008：793–802. [102] CUI L，ZHENG J J，ZHANG R J，et al. Elasto-plastic analysis of a circular opening in rock mass with confining stress-dependent strain-softening behaviour[J]. Tunnelling and Underground Space Technology，2015，50：94–108. [103] LUBLINER J. Plasticity theory[M]. [S. l.]：Courier Corporation，2008：111–170. [104] SU C L，CAI W Q，ZHU H H. Elastoplastic semi-analytical investigation on a deep circular tunnel excavation based on the three-dimensional Hoek–Brown strength criterion[J]. Computers and Geotechnics，2022，150：1–18. DOI：https：//doi.org/10.1016/ j.compgeo.2022.104926 [105] 朱合华，武威，李晓军，等. 基于iS3平台的岩体隧道信息精细化采集、分析与服务[J]. 岩石力学与工程学报，2017，36(10)：2 350–2 364.(ZHU Hehua，WU Wei，LI Xiaojun，et al. High-precision acquisition，analysis and service of rock tunnel information based on iS3 platform[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(10)：2 350–2 364.(in Chinese)) [106] 朱合华，李晓军，林晓东. 基础设施智慧服务系统(iS3)及其应用[J]. 土木工程学报，2018，51(1)：1–12. (ZHU Hehua，LI Xiaojun，LIN Xiaodong. Infrastructure Smart Service System (iS3) and its application[J]. China Civil Engineering Journal，2018，51(1)：1–12.(in Chinese)) [107] 陈力康. 岩体隧道多源数据远程实时超高频传输系统研究[硕士学位论文][D]. 上海：同济大学，2020.(CHEN Likang. Research on remote real-time UHF transmission system of multi-source data in rock tunnel[M. S. Thesis][D]. Shanghai：Tongji University，2020.(in Chinese)) [108] 张可珅. 岩体三维产状与迹线快速识别增强算法研究及应用[硕士学位论文][D]. 上海：同济大学，2020.(ZHANG Keshen. Research and Application of enhanced algorithm for fast identification of 3d orientation and trace of rock mass[M. S. Thesis][D]. Shanghai：Tongji University，2020.(in Chinese)) [109] ZHANG K S，WU W，ZHU H H，et al. A modified method of discontinuity trace mapping using three-dimensional point clouds of rock mass surfaces[J]. Journal of Rock Mechanics and Geotechnical Engineering，2020，12(3)：571–586. [110] 王肖骏. 基于概率统计的隧道工程围岩分级不确定性推断[硕士学位论文][D]. 上海：同济大学，2022.(WANG Xiaojun. Uncertainty inference of tunnel surrounding rock classification based on probability[M. S. Thesis][D]. Shanghai：Tongji University，2022.(in Chinese)) [111] LI X J，CHEN Z Y，CHEN J Q，et al. Automatic characterization of rock mass discontinuities using 3D point clouds[J]. Engineering Geology，2019，259：105131. [112] 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. [113] 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，2000，15(2)：187–213. [114] 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 Shunchun，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)) [115] 崔岚，郑俊杰，苗晨曦，等. 隧道纵向变形曲线与围岩特征曲线耦合分析[J]. 岩土工程学报，2014，36(4)：707–715.(CUI Lan，ZHEN Junjie，MIAO Chenxi，et al. Coupling analysis of longitudinal deformation profile and ground reaction curve[J]. Chinese Journal of Geotechnical Engineering，2014，36(4)：707–715.(in Chinese)) [116] ALEJANO L R，RODRIGUEZ-DONO A，VEIGA M. Plastic radii and longitudinal deformation profiles of tunnels excavated in strain-softening rock masses[J]. Tunnelling and Underground Space Technology，2012，30：169–182. [117] CAI Y，JIANG Y J，DJAMALUDDIN I，et al. An analytical model considering interaction behavior of grouted rock bolts for convergence-confinement method in tunneling design[J]. International Journal of Rock Mechanics and Mining Sciences，2015，76：112–126. [118] SAKCALI A，YAVUZ H. Estimation of radial deformations around circular tunnels in weak rock masses through numerical modelling[J]. International Journal of Rock Mechanics and Mining Sciences，2019，123：104092. [119] 张传庆，冯夏庭，周辉，等. 隧洞围岩收敛损失位移的求取方法及应用[J]. 岩土力学，2009，30(4)：997–1 012.(ZHANG Chuanqing，FENG Xiating，ZHOU Hui，et al. Method of obtaining loss convergence displacement and its application to tunnel engineering[J]. Rock and Soil Mechanics，2009，30(4)：997–1 012.(in Chinese)) [120] 朱合华，杨林德. 天荒坪抽水蓄能电站地下厂房试验洞掘进面空间效应分析[J]. 工程勘察，1994，(3)：1–6.(ZHU Hehua，YANG Linde. The study of spatial effect of excavation face of underground works of tian huang ping powerplant for pumping and energy storage[J]. Engineering investigation，1994，(3)：1–6.(in Chinese)) [121] ZHOU H，QU C K，HU D W，et al. In situ monitoring of tunnel deformation evolutions from auxiliary tunnel in deep mine[J]. Engineering Geology，2017，221：10–15. [122] JANIN J P，DIAS D，EMERIAULT F，et al. Numerical back-analysis of the southern Toulon tunnel measurements：a comparison of 3D and 2D approaches[J]. Engineering Geology，2015，195：42–52. [123] DIAS D. Convergence-confinement approach for designing tunnel face reinforcement by horizontal bolting[J]. Tunnelling and Underground Space Technology，2011，26(4)：517–523. [124] LUNARDI P. The design and construction of tunnels using the approach based on the analysis of controlled deformation in rocks and soils[J]. Tunnels and Tunnelling International，2000：3–30. [125] LUNARDI P. Design and construction of tunnels：analysis of controlled deformations in rock and soils(ADECO-RS)[M]. [S. l.]：Springer Science and Business Media，2008：15–115. [126] 师晓权，张志强，李化云. 软弱围岩隧道超前预加固技术试验研究[J]. 岩石力学与工程学报，2011，30(9)：81–87.(SHI Xiaoquan，ZHANG Zhiqiang，LI Huayun. Experimental study of pre-reinforcement technology for weak surrounding rock of tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(9)：81–87.(in Chinese)) [127] 洪开荣，杨朝帅，李建华. 超前支护对软岩隧道空间变形的影响分析[J]. 地下空间与工程学报，2014，10(2)：429–433.(HONG Kairong，YANG Chaoshuai，LI Jianhua. Analysis on impact of advanced support on space deformation of tunnel in soft rock mass[J]. Chinese Journal of Underground Space and Engineering，2014，10(2)：429–433.(in Chinese)) [128] EBERHARDT E. Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(4)：499–518. [129] ORESTE P. The stabilization of the excavation face of a shallow tunnel in difficult ground conditions[J]. Safety and Security Engineering III，2009，108：481–492. [130] MARTIN C D. Seventeenth Canadian geotechnical colloquium：the effect of cohesion loss and stress path on brittle rock strength[J]. Canadian Geotechnical Journal，1997，34(5)：698–725. [131] CARTER B J. Size and stress gradient effects on fracture around cavities[J]. Rock Mechanics and Rock Engineering，1992，25(3)：167–186. [132] GERMANOVICH L N，DYSKIN A V. Fracture mechanisms and instability of openings in compression[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(1/2)：263–284. [133] CAI M，KAISER P K. Assessment of excavation damaged zone using a micromechanics model[J]. Tunnelling and Underground Space Technology，2005，20(4)：301–310. [134] PAN X D，HUDSON J A. Plane strain analysis in modelling three-dimensional tunnel excavations[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1988，25(5)：331–337. [135] MOLLON G，ASCE M，ASCE F，et al. Validation of a new 2D failure mechanism for the stability analysis of a pressurized tunnel face in a spatially varying sand[J]. Journal of Engineering Mechanics，2010，137(1)：8–21. [136] CHANG C，HAIMSON B. Non-dilatant deformation and failure mechanism in two Long Valley Caldera rocks under true triaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(3)：402–414. [137] MOGI K. Experimental rock mechanics[M]. London：CRC Press，2006：51–190. [138] ZHANG C，ZHOU H，FENG X，et al. Layered fractures induced by principal stress axes rotation in hard rock during tunnelling[J]. Materials Research Innovations，2011，15：S527–S530.