Abstract
This paper investigates the effect of constructing a junction tunnel, intersecting an existing main tunnel at a normal angle, via parametric 3D Finite Element (3D-FE) analyses. The 3D interaction between the tunnels significantly modifies the stress state of the primary support and the surrounding rockmass at the intersection area, compared to that of the single tunnel (quasi plane strain problem), thus making 3D-FE analyses necessary for the realistic design of the primary support at the junction area. The numerical investigation includes deep, circular intersecting tunnels with the junction tunnel excavated, after the main tunnel, via a conventional (non-TBM) method and supported with shotcrete lining. The parametric analyses are performed for a wide range of junction tunnel’s diameter, overburden height, in-situ horizontal stress ratio, strength and deformability of the surrounding rockmass. They focus on calculating the axial forces acting on the primary support at the intersection area before, during and after the construction of the junction tunnel. In addition, they identify the extent of the zone influenced by the tunnel interaction. The results of the analyses indicate that the construction of the junction tunnel causes significant additional compressive loading at the springline of the main tunnel. In contrast, the crown/invert of the opening of the main tunnel is subjected to either compressive loading or unloading (often reaching tensile loading). The results of the analyses are presented in normalized design charts of the axial forces, versus key geomaterial and geometry parameters to facilitate preliminary estimations of primary support requirements at tunnel junctions.
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References
Brown ET, Hocking G (1976) Use of the three dimensional boundary integral equation method for determining stresses at tunnel intersections
Carranza-Torres C (2004) Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion. Int J Rock Mech Min Sci. https://doi.org/10.1016/j.ijrmms.2004.03.111
Förder M, Abel F, Tirpitz ER (2008) The Malmö Citytunnel, Sweden—tunnelling in Scandinavia. Beton Stahlbetonbau 103:689–697
Gerçek H (1986) Stability considerations for underground excavation intersections. Min Sci Technol. https://doi.org/10.1016/S0167-9031(86)90194-5
Hocking G (1978) Stresses around tunnel intersections. In: computer methods in tunnel design, conference proceedings. Thomas Telford Publishing, pp. 41–60. https://doi.org/10.1680/cmitd.00568.0003
Hoek E, Brown ET (2019) The Hoek-Brown failure criterion and GSI—2018 edition. J Rock Mech Geotech Eng. https://doi.org/10.1016/j.jrmge.2018.08.001
Hoek E, Diederichs MS (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci. https://doi.org/10.1016/j.ijrmms.2005.06.005
Hsiao FY, Wang CL, Chern JC (2009) Numerical simulation of rock deformation for support design in tunnel intersection area. Tunn Undergr Sp Technol. https://doi.org/10.1016/j.tust.2008.01.003
Hsiao FY, Yu CW, Chern JC (2005) Modeling the behaviors of the tunnel intersection areas adjacent to the ventilation shafts in the Hsuehshan tunnel. In: Proceedings of the international symposium on design, construction and operation of long tunnels, Taipei
Insam R, Wahlen R, Wieland G (2019) Brenner base tunnel—interaction between underground structures, complex challenges and strategies, In: Tunnels and underground cities: engineering and innovation meet archaeology, architecture and art-proceedings of the wtc 2019 ita-aites world tunnel congress. https://doi.org/10.1201/9780429424441-408
Jones BD (2007) Stresses in sprayed concrete tunnel junctions. Doctoral thesis, University of Southampton
Kalos A, Kavvadas M (2017) A constitutive model for strain-controlled strength degradation of rockmasses (SDR). Rock Mech Rock Eng. https://doi.org/10.1007/s00603-017-1288-x
Ke W, Shuaishuai C, Qianjin Z, Zheng Z, Jiahui Z, Yalin Y (2019) Mechanical mechanism analysis and influencing factors of subway cross passage construction. Lat Am J Solids Struct. https://doi.org/10.1590/1679-78255512
Li Y, Jin X, Lv Z, Dong J, Guo J (2016) Deformation and mechanical characteristics of tunnel lining in tunnel intersection between subway station tunnel and construction tunnel. Tunn Undergr Sp Technol. https://doi.org/10.1016/j.tust.2016.02.016
Liu HL, Li SC, Li LP, Zhang QQ (2017) Study on deformation behavior at intersection of adit and major tunnel in railway. KSCE J Civ Eng. https://doi.org/10.1007/s12205-017-2128-y
Liu HY, Small JC, Carter JP, Williams DJ (2009) Effects of tunnelling on existing support systems of perpendicularly crossing tunnels. Geotech Comput. https://doi.org/10.1016/j.compgeo.2009.01.013
Marinos P, Hoek E (2018) GSI: a geologically friendly tool for rock mass strength estimation. In: ISRM international symposium 2000, IS 2000
Pant B (1971)Analysis and design of pressure tunnel intersectionIndian Society of Engineering Geology, Tunnelling Seminar, Part I
Pöttler R (1992) Three-dimensional modelling of junctions at the channel tunnel project. J Numer Anal Methods Geomech Int. https://doi.org/10.1002/nag.1610160906
Riley FW (1964) Stress at tunnel intersections. J Eng Mech Div 90(2):167–180
Schikora K, Piegendorfer M, Filus M (2013) Plane and three-dimensional analysis in tunneling using the example of current and planned construction. Beton Stahlbetonbau 108:252–263
Sjöberg J, Leander M, Saiang D (2006) Three-dimensional analysis of tunnel intersections for a train tunnel under Stockholm. In: Proceedings of the North American Tunneling 2006 Conference
Spyridis P, Bergmeister K (2015) Analysis of lateral openings in tunnel linings. Tunn Undergr Sp Technol. https://doi.org/10.1016/j.tust.2015.08.005
Swoboda G, Shen XP, Rosas L (1998) Damage model for jointed rock mass and its application to tunnelling. Comput Geotech. https://doi.org/10.1016/S0266-352X(98)00009-3
Tsuchiyama S, Hayakawa M, Shinokawa T, Konno H (1988) Deformation behavior of the tunnel under the excavation of crossing tunnel. numerical methods of geomechanics. Balkema, Rotterdam, pp 1591–1596
Vlachopoulos N, Diederichs MS (2009) Improved longitudinal displacement profiles for convergence confinement analysis of deep tunnels. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-009-0176-4
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Chortis, F., Kavvadas, M. Three-Dimensional Numerical Analyses of Perpendicular Tunnel Intersections. Geotech Geol Eng 39, 1771–1793 (2021). https://doi.org/10.1007/s10706-020-01587-w
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DOI: https://doi.org/10.1007/s10706-020-01587-w