Abstract
The purpose of this research is that the analytical solutions of nonlinear behavior of ground in a deep circular tunnel under anisotropy stress field are derived, and the explicit analysis method (EAM) which bases on the convergence confinement method, the principle of convergence loss, and the simple calculation spreadsheet is particularly proposed. This study includes that introducing an incremental procedure of confinement loss into the analytical solutions derived under anisotropy stress field, establishing the direct calculation logic and flow chart, using a calculation spreadsheet to simply calculate and draw figures to describe the distribution of stress/displacement around tunnel. The results obtained by the explicit analysis and by the finite element analysis are approximately consistent in those curves described in the convergence-confinement method (CCM). The explicit analysis method proposed is easy and directly to simulate the ground response behavior due to the advancing excavation of tunnel.
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References
AFTES: Recommandations pour l’emploi de la méthode convergence-confinement. Tunnels et Ouvrages Souterrains 59, 119–138 (1983)
AFTES, Panet, M., et al.: Recommendations on the Convergence-Confinement Method. Association Française des Tunnels et de l’Espace Souterrain, pp. 1–11 (2001)
Alejano, L.R., Rodriguez-Dono, A., Alonso, E., Fdez-ManÃn, G.: Ground reaction curves for tunnels excavated in different quality rock masses showing several types of post-failure behaviour. Tunn. Undergr. Space Technol. 24, 689–705 (2011)
Brady, B.H.G., Brown, E.T.: Rock Mechanics for Underground Mining. Chapman & Hall, London (1993)
Brown, E.T., Bray, J.W., Ladanyi, B., Hoek, E.: Ground response curves for rock tunnels. J. Geotech. Eng. ASCE 109, 15–39 (1983)
Carranza-Torres, C.: Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion. Int. J. Rock Mech. Min. Sci. 41(3), 480–491 (2004)
Carranza-Torres, C., Fairhurst, C.: The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion. Int. J. Rock Mech. Min. Sci. 36, 777–809 (1999)
Carranza-Torres, C., Fairhurst, C.: Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion. Tunn. Undergr. Space Technol. 15(2), 187–213 (2000)
Detournay, E., John, C.M.S.: Design charts for a deep circular tunnel under non-uniform loading. Rock Mech. Rock Eng. 21, 119–137 (1988)
Guan, Z., Jiang, Y., Tanabasi, Y.: Ground reaction analyses in conventional tunnelling excavation. Tunn. Undergr. Space Technol. 22, 230–237 (2007)
Hoek, E., Brown, E.T.: Underground Excavations in Rock. The Institution of Mining and Metallurgy, London (1980)
Kirsch, G.: Die theorie der Elastizität und die bedürfnisse der festigkeitslehre. Zeit Ver Deut Ing J. 42, 797–807 (1898)
Lee, Y.L.: Prise en compte des non-linéarité de comportement des sols et des roches dans la modélisation du creusement d’un tunnel. Thèse, École Nationale des Ponts et Chaussées (1994)
Lee, Y.L., Lin, M.Y., Hsu, W.K.: Study of relationship between the confinement loss and the longitudinal deformation curve by using three-dimensional finite element analysis. Chin. J. Rock Mech. Eng. 27(2), 258–265 (2008)
Lee, Y.L., Hsu, W.K., Lin, M.Y.: Analysis of the advancing effect and the confinement loss by using deformation measurement in tunneling. Chin. J. Rock Mechan. Eng. 28(1), 39–46 (2009)
Oreste, P.P.: Analysis of structural interaction in tunnels using the convergence-confinement approach. Tunn. Undergr. Space Technol. 18, 347–363 (2003)
Oreste, P.: The convergence–confinement method: roles and limits in modern geomechanical tunnel design. Am. J. Appl. Sci. 6(4), 755–771 (2009)
Pacher, F.: Deformationsmessungen in Versuchsstollen als Mittel zur Erforschung des Gebirgsverhaltens und zur Bemessung des Ausbaues. Felsmechanik und Ingenieursgeologie Supplementum IV, 149–161 (1964)
Panet, M., Guellec, P.: Contribution a l’étude du sousténement derrière le front de taille. In: Proc. 3rd Cong. Int. Soc. Rock Mechanics, Part B, Denver, vol. 2, pp. 1130–1134 (1974)
Panet, M., Guenot, A.: Analysis of convergence behind the face of a tunnel. In: Proceedings of International Symposium Tunnelling’82, IMM, London, pp. 197–204 (1982)
Panet, M.: Calcul du souténement des tunnels à section circulaire par la method convergence-confinement avec un champ de contraintes initiales anisotrope. Tunnels et Ouvrages Souterrains 77, 228–232 (1986)
Panet, M.: Le Calcul des Tunnels par la Méthode de Convergence-Confinement. Presses de l’Ecole Nationale des Ponts et Chaussées, Paris (1995)
Park, K.H., Kim, Y.J.: Analytical solution for a circular opening in an elastic–brittle–plastic rock. Int. J. Rock Mech. Min. Sci. 43, 616–622 (2006)
Ravandi, E.G., Rahmannejad, R.: Wall displacement prediction of circular, D shaped and modified horseshoe tunnels in anisotropy stress fields. Tunn. Undergr. Space Technol. 34, 54–60 (2013)
Serrano, A., Olalla, C., Reig, I.: Convergence of circular tunnels in elastoplastic rock masses with non-linear failure criteria and non-associated flow laws. Int. J. Rock Mech. Min. Sci. 48, 878–887 (2011)
Sharan, S.K.: Elastic–brittle–plastic analysis of circular openings in Hoek-Brown media. Int. J. Rock Mech. Min. Sci. 40, 817–824 (2003)
Sharan, S.K.: Exact and approximate solutions for displacements around circular openings in elastic-brittle plastic Hoek-Brown rock. Int. J. Rock Mech. Min. Sci. 42, 42–549 (2005)
Shen, B., Barton, N.: The disturbed zone around tunnels in jointed rock masses. Int. J. Rock Mech. Min. Sci. 34(1), 117–125 (1997)
Wang, Y.: Ground response of a circular tunnel in poorly consolidated rock. J. Geotech. Eng. ASCE 122(9), 703–708 (1996)
Wong, R.C.K., Kaiser, P.K.: Performance assessment of tunnels in cohesion less soils. J. Geotech. Eng. ASCE 117(12), 1880–1901 (1991)
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Lee, YL., Xin, YX. (2019). Explicit Analysis for the Ground Response Behavior Due to the Advancing Excavation of Tunnel in Anisotropy Stress Field. In: Fatahi, B., Mwanza, A., Chang, D. (eds) Sustainable Design and Construction for Geomaterials and Geostructures. GeoChina 2018. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-319-95753-1_20
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