Abstract
The minimum reasonable value of the net distance is a key problem to be solved in design and construction of small net distance tunnels, especially in super-large section tunnels. In this study, the elastoplastic-damage model (EDM) is improved by introducing a hyperbolic yield criterion where tensile/compressive and shear failure modes are combined together. The new model is solved by explicit finite difference method and implemented into Fast Lagrangian Analysis of Continua (FLAC3D) commercial software. Taking the Ganggou Tunnel as an engineering prototype, a series of numerical simulations of tunnel excavation process with different net distances are conducted through improved EDM. Based on comprehensive criteria for determining reasonable net distance, numerical results of distribution of plastic failure zone, displacement deformation and stress of surrounding rock are analysed to determine reasonable values of net distance for tunnels. Finally, the reasonable net distance values in different condition are given, e.g. 1B (B refers to the excavation span of tunnel) for V-grade rock tunnel, 0.75B for IV-grade rock tunnel and 0.5B for III-grade rock tunnel. These results can provide valuable references for design and construction of similar engineering projects.
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References
Brace WF, Paulding BW, Scholz CH (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71:3939–3953
Carol I, Prat PC, Lopez CM (1997) Normal/shear cracking model: application to discrete crack analysis. J Eng Mech 123:765–773
Chen Q, Zhao LJ, Xie XY et al (2015) Reasonable distance for super-large section neighborhood tunnel of granite residual soil with shallow-buried bias. J Cent South Univ (Sci Technol) 46(9):3475–3480
Chen Y, Wang YZ, Zhang QY (2014) Coupled seepage-elastoplastic-damage analysis of saturated porous media and its application to water conveyance tunnel. Tunn Undergr Space Technol 44:80–87. https://doi.org/10.1016/j.tust.2014.07.007
Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Math 10(2):157–165
Ewy RT (1999) Wellbore-stability predictions by use of a modified Lade criterion. SPE Drill Completion 14(2):85–91
Gao CL, Zhou ZQ, Li ZH et al (2020) Peridynamics simulation of surrounding rock damage characteristics during tunnel excavation. Tunn Undergr Space Technol 97:103289. https://doi.org/10.1016/j.tust.2020.103289
Gao CL, Li LP, Zhou ZQ, et al. (2021) Peridynamics simulation of water inrush channels evolution process due to rock mass progressive failure in Karst tunnels. International Journal of Geomechanics, 21(4). https://doi.org/10.1061/(ASCE)GM.1943-5622.0001980
Guan JF (2008) Study of ground deformation and behavior of lining for close-spaced large-span tunnels. Modern Tunnel Technol 45(5):14–17
Hoek E, Brown E (1980) Empirical strength criterion for rock masses. J Geotech Eng Div 106(GT9):1013–1035
Jiang AN, Zheng S, Wang SY (2020) Stress-seepage-damage coupling modelling method for tunnel in rich water region. Eng Comput 37(8):2659–2683. https://doi.org/10.1108/EC-10-2019-0465
Liping Li, Chengshun S, Kaiwei C et al (2021) Large-scale geo-mechanical model tests for stability assessment of super-large cross-section tunnel. Tunn Undergr Space Technol 109:103756. https://doi.org/10.1016/j.tust.2020.103756
Lisjak A, Kaifosh P, He L et al (2017) A 2D fully-coupled hydro-mechanical FDEM formulation for modelling fracturing processes in discontinuous, porous rock masses. Comput Geotech 81:1–18. https://doi.org/10.1016/j.compgeo.2016.07.009
Liu C, Li SC, Zhou ZQ et al (2018) Model test study on mechanical characteristics of surrounding rock during construction process of super-large section tunnel under complex strata. Rock Soil Mech 39(9):3495–3504
Liu C, Li S, Zhou ZQ et al (2019a) Model test study on spatial deformation law of surrounding rock for super-large section and shallow buried tunnels. Geotech Test J 42(3):703–724. https://doi.org/10.1520/GTJ20170243
Liu C, Li SC, Zhou Z et al (2019b) Numerical analysis of surrounding rock stability in super-large section tunnel based on hydro-mechanical coupling model. Geotech Geology Eng 37:1297–1310. https://doi.org/10.1007/s10706-018-0686-5
Nguyen NH, Bui HH, Nguyen GD, Kodikara J (2017) A cohesive damage-plasticity model for DEM and its application for numerical investigation of soft rock fracture properties. Int J Plast 98:175–196
Shen MR, Chen JF (2012) Rock mass mechanics. Tongji University Press, Shanghai
Shi Lu, Xiaochun Li (2009) Analysis of end friction effect in true triaxial test. Rock Soil Mech 30(4):1159–1164 (In Chinese)
Tang JS, Liu SY, Tong LY (2008) The minimum safe net distance between large span expressway tunnels. Chin Civil Eng J 41(12):79–84
Timoshenko SP, Goodier JN. (1970) Theory of elasticity (Third Edition) New York: McGraw-Hill.
Wang H, Chen WZ, Chen PS et al (2011) Study of section morphology and reasonable distance optimization of large-span twin tunnels with small clear spacing in shallow rock mass. Rock Soil Mech 32(S2):641–646
Yan CZ, Jiao YY, Zheng H (2018) A fully coupled three-dimensional hydro-mechanical finite discrete element approach with real porous seepage for simulating 3D hydraulic fracturing. Comput Geotech 96:73–89. https://doi.org/10.1016/j.compgeo.2017.10.008
Zhou ZQ, Li ZH , Gao CL, et al. (2021) Peridynamic micro-elastoplastic constitutive model and its application in the failure analysis of rock masses. Computers and Geotechnics, 132(1):104037.
Funding
This work was financially supported by the National Natural Science Foundation of China (Grant nos. 51991391, U1806226, 51808359), Hebei Provincial Natural Science Foundation of China (Grant no. E2019210356) and China Scholarship Council (Grant no. 201906220131). The authors would like to express appreciation to the editors and reviewers for their valuable comments and suggestions that helped to improve the quality of the paper.
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Hou, F., Liu, C., Wang, K. et al. Net distance optimization of super-large section tunnel using new elastoplastic-damage model combining tensile and shear yield modes. Arab J Geosci 14, 2657 (2021). https://doi.org/10.1007/s12517-021-08948-6
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DOI: https://doi.org/10.1007/s12517-021-08948-6