Abstract
The stress state of rock mass is redistributed after the tunnel excavation, resulting in different confining stress at different radial distances. Relevant studies demonstrate that the mechanical characteristics of rock are related with the confining stress, causing various the mechanical parameters of rock mass at different radial distances. This paper aims to take these kinds of mechanical properties of rock mass into the analytical solutions of stress and deformation around the tunnel face. Firstly, the calculation formulas of the rock mass mechanical parameters changing with the confining stress is determined based on the existing rock triaxial test data. Then, a new model considering the influence of confining stress is proposed based on Mohr-Coulomb (M-C) failure critical. At the same time, an given radial length increment divides the plastic zone into a series of concentric annuli. The finite difference approach may be used to compute consecutive stress and strain increases for each annulus. A comparative analysis of the Pierpaolo Oreste’s model and the proposed model is carried out through calculation examples, and the results show that: ignoring the effect of the confining stress on the mechanical parameters of rock mass, the plastic radius of the tunnel face will be smaller than the actual value, and the face extrusion deformation value will be larger. It is emphasized that the influence of confining stress on the mechanical parameters of rock mass should be considered in actual engineering calculations, especially the high initial stress rock mass. Finally, combined with the numerical calculation model, the rationality of the application of the circular tunnel elastoplastic model in the non-circular tunnel is verified.
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References
Alejano LR, Alonso E, Rodríguez-Dono A, Fernández-Manín G (2010) Application of the convergence-confinement method to tunnels in rock masses exhibiting Hoek-Brown strain-softening behaviour. International Journal of Rock Mechanics and Mining Sciences 47(1):150–160, DOI: https://doi.org/10.1016/j.ijrmms.2009.07.008
Alejano LR, Rodríguez-Dono A, Veiga M (2012) Plastic radii and longitudinal deformation profiles of tunnels excavated in strain-softening rock masses. Tunnelling and Underground Space Technology 30:169–182, DOI: https://doi.org/10.1016/j.tust.2012.02.017
Alonso E, Alejano LR, Varas F, Fdez-Manin G, Carranza-Torres C (2010) Ground response curves for rock masses exhibiting strain-softening behaviour. International Journal for Numerical & Analytical Methods in Geomechanics 27(13):1153–1185, DOI: https://doi.org/10.1002/nag.315
Barla G (2016) Full-face excavation of large tunnels in difficult conditions. Journal of Rock Mechanics & Geotechnical Engineering 3(1):294–303, DOI: https://doi.org/10.1016/j.jrmge.2015.12.003
Brown ET, Bray JW, Ladanyi B, Hoek E (1983) Ground response curves for rock tunnels. Journal of Geotechnical Engineering 109(1):15–39, DOI: https://doi.org/10.1061/(ASCE)0733-9410(1983)109:1(15)
Cai M, Kaiser PK, Tasaka Y, Minami M (2007) Determination of residual strength parameters of jointed rock masses using the GSI system. International Journal of Rock Mechanics & Mining Sciences 44(2): 247–265, DOI: https://doi.org/10.1016/j.ijrmms.2006.07.005
Cantieni L, Anagnostou G, Hug R (2011) Interpretation of core extrusion measurements when tunnelling through squeezing ground. Rock Mechanics & Rock Engineering 44(6):641–670, DOI: https://doi.org/10.1007/s00603-011-0170-5
Carranza-Torres C, Fairhurst C (1999) The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion. International Journal of Rock Mechanics & Mining Sciences 36(6):777–809, DOI: https://doi.org/10.1016/S0148-9062(99)00047-9
Carranza-Torres C, Fairhurst C (2000) Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion. Tunnelling and Underground Space Technology 15(2): 187–213, DOI: https://doi.org/10.1016/S0886-7798(00)00046-8
Cheng HT (2020) Solution of a bolted spherical cavity in elastoplastic medium and its application to extrusion analysis of tunnel face. Rock Mechanics and Rock Engineering 53(6):85–93, DOI: https://doi.org/10.1007/s00603-020-02086-3
Cui L, Zheng JJ, Zhang RJ, Dong YK (2015) Elasto-plastic analysis of a circular opening in rock mass with confining stress-dependent strain-softening behaviour. Tunnelling and Underground Space Technology 50:94–108, DOI: https://doi.org/10.1016/j.tust.2015.07.001
Eberhardt E (2001) Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face. International Journal of Rock Mechanics and Mining Ences 38(4):499–518, DOI: https://doi.org/10.1016/S1365-1609(01)00017-X
Gholami R, Rasouli V (2014) Mechanical and elastic properties of transversely isotropic slate. Rock Mechanics and Rock Engineering 47(5):1763–1773, DOI: https://doi.org/10.1007/s00603-013-0488-2
Kim P (2006) Analytical solution for a circular opening in an elastic-brittle-plastic rock. International Journal of Rock Mechanics and Mining Sciences 43(4):616–622, DOI: https://doi.org/10.1016/j.ijrmms.2005.11.004
Lee YK, Pietruszczak S (2008) A new numerical procedure for elastoplastic analysis of a circular opening excavated in a strain-softening rock mass. Tunnelling and Underground Space Technology 23(5): 588–599, DOI: https://doi.org/10.1016/j.tust.2007.11.002
Lunardi P (2008) Design and construction of tunnels: Analysis of controlled deformation in rocks and soils (ADECO-RS). Springer-Verlag, Berlin Heidelberg, Berlin, Germany, 30–45
Oreste P (2013) Face stabilization of deep tunnels using longitudinal fibreglass dowels. International Journal of Rock Mechanics & Mining Sciences 58(1):127–140, DOI: https://doi.org/10.1016/j.ijrmms.2012.07.011
Park KH, Tontavanich B, Lee JG (2008) A simple procedure for ground response curve of circular tunnel in elastic-strain softening rock masses. Tunnelling and Underground Space Technology 23(2):151–159, DOI: https://doi.org/10.1016/j.tust.2007.03.002
Serrano A, Olalla C, Reig I (2011) Convergence of circular tunnels in elastoplastic rock masses with non-linear failure criteria and nonassociated flow laws. International Journal of Rock Mechanics and Mining Sciences 48(6):878–887, DOI: https://doi.org/10.1016/j.ijrmms.2011.06.008
Sharan SK (2003) Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media. International Journal of Rock Mechanics & Mining Sciences 40(6):236–258, DOI: https://doi.org/10.1016/S1365-1609(03)00040-6
Sharan SK (2005) Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock. International Journal of Rock Mechanics & Mining Sciences 42(4):542–549, DOI: https://doi.org/10.1016/j.ijrmms.2005.03.019
Sharan SK (2008) Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock. International Journal of Rock Mechanics & Mining Sciences 45(1): 78–85, DOI: https://doi.org/10.1016/j.ijrmms.2007.03.002
Varas F, Alonso E, Alejano LR, Fdez.-Manin G (2005) Study of bifurcation in the problem of unloading a circular excavation in a strain-softening material. Tunnelling and Underground Space Technology 20(4):311–322, DOI: https://doi.org/10.1016/j.tust.2004.12.003
Vrakas A, Anagnostou G (2014) A finite strain closed-form solution for the elastoplastic ground response curve in tunnelling. International Journal for Numerical and Analytical Methods in Geomechanics 38(11):1131–1148, DOI: https://doi.org/10.1002/nag.2250
Wang S, Hong Z, Li C, Ge X (2011) A finite element implementation of strain-softening rock mass. International Journal of Rock Mechanics & Mining Sciences 48(1):67–76, DOI: https://doi.org/10.1016/j.ijrmms.2010.11.001
Wang SL, Yin XT, Tang H, Ge X (2010) A new approach for analyzing circular tunnel in strain-softening rock masses. International Journal of Rock Mechanics & Mining Sciences 47(1):170–178, DOI: https://doi.org/10.1016/j.ijrmms.2009.02.011
Yoo C (2002) Finite-element analysis of tunnel face reinforced by longitudinal pipes. Computers & Geotechnics 29(1):73–94, DOI: https://doi.org/10.1016/S0266-352X(01)00020-9
Yoo C, Shin HK (2003) Deformation behaviour of tunnel face reinforced with longitudinal pipes—laboratory and numerical investigation. Tunnelling and Underground Space Technology 18(4):303–319, DOI: https://doi.org/10.1016/s0886-7798(02)00101-3
Yu HS (2000) Cavity expansion methods in geomechanics. Springer Science+Business Media, Berlin, Germany, 192–199
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This work was supported by the Project of China Railway Science and Technology Research and Development Plan(Grant Nos. P2019G038).
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Wang, Zl., Wang, Mn., Lyu, C. et al. A Semi-analytical Solution of Face Extrusion Deformation Considering Nonlivnear Changes of Rock Mass Mechanical Parameters. KSCE J Civ Eng 26, 2952–2965 (2022). https://doi.org/10.1007/s12205-022-1770-1
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DOI: https://doi.org/10.1007/s12205-022-1770-1