Three-Dimensional Static and Seismic Stability Analysis of a Tunnel Face Driven in Weak Rock Masses
Publication: International Journal of Geomechanics
Volume 18, Issue 6
Abstract
Face stability is an important issue for tunnel designs and constructions. This study investigated the seismic face stability of tunnels drilling in heavily fractured rock masses that follow the generalized Hoek–Brown yield criterion by means of an advanced three-dimensional (3D) failure mechanism in the framework of the kinematic approach of limit analysis. The pseudostatic method was employed to model seismic loadings. The classical tangential technique was used to compute the upper-bound solutions of necessary face pressures in the context of the generalized Hoek–Brown criterion. The obtained critical face pressures were found to agree well with those predicted by 3D numerical simulations using a commercial program and improve the existing upper-bound solutions previously published in the literature. Four sets of normalized charts are provided for parametric analysis and practical application in the preliminary design phase of tunnel face stability.
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References
Anagnostou, G., and Perazzelli, P. (2015). “Analysis method and design charts for bolt reinforcement of the tunnel face in cohesive-frictional soils.” Tunnelling Underground Space Technol., 47, 162–181.
Chakraborty, D., and Kumar, J. (2013). “Stability of a long unsupported circular tunnel in soils with seismic forces.” Nat. Hazards, 68(2), 419–431.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, Netherlands.
Dias, D. (2011). “Convergence-confinement approach for designing tunnel face reinforcement by horizontal bolting.” Tunnelling Underground Space Technol., 26(4), 517–523.
Drescher, A., and Christopoulos, C. (1988). “Limit analysis slope stability with nonlinear yield condition.” Int. J. Numer. Anal. Methods Geomech., 12(3), 341–345.
FLAC3D [Computer software]. Itasca Consulting Group, Minneapolis.
Hoek, E., Carranza-Torres, C., and Corkum, B. (2002). “Hoek–Brown failure criterion—2002 edition.” Proc., NARMS-Tac Conference, Univ. of Toronto, Toronto, 267–273.
Hoek, E., and Diederichs, M. S. (2006). “Empirical estimation of rock mass modulus.” Int. J. Rock Mech. Min. Sci., 43(2), 203–215.
Ibrahim, E., Soubra, A. H., Mollon, G., Raphael, W., Dias, D., and Reda, A. (2015). “Three-dimensional face stability analysis of pressurized tunnels driven in a multilayered purely frictional medium.” Tunnelling Underground Space Technol., 49, 18–34.
Kamata, H., and Mashimo, H. (2003). “Centrifuge model test of tunnel face reinforcement by bolting.” Tunnelling Underground Space Technol., 18(2–3), 205–212.
Khezri, N., Mohamad, H., HajiHassani, M., and Fatahi, B. (2015). “The stability of shallow circular tunnels in soil considering variations in cohesion with depth.” Tunnelling Underground Space Technol., 49, 230–240.
Leca, E., and Dormieux, L. (1990). “Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material.” Géotechnique, 40(4), 581–606.
Li, A. J., Lyamin, A. V., and Merifield, R. S. (2009). “Seismic rock slope stability charts based on limit analysis methods.” Comput. Geotech., 36(1–2), 135–148.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mollon, G., Dias, D., and Soubra, A. H. (2009a). “Probabilistic analysis and design of circular tunnels against face stability.” Int. J. Geomech., 237–249.
Mollon, G., Dias, D., and Soubra, A. H. (2009b). “Probabilistic analysis of circular tunnels in homogeneous soil using response surface methodology.” J. Geotech. Geoenviron. Eng., 1314–1325.
Mollon, G., Dias, D., and Soubra, A. H. (2011). “Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield.” Int. J. Numer. Anal. Methods Geomech., 35(12), 1363–1388.
Oreste, P. P., and Dias, D. (2012). “Stabilisation of the excavation face in shallow tunnels using fibreglass dowels.” Rock Mech. Rock Eng., 45(4), 499–517.
Pan, Q., and Dias, D. (2016). “The effect of pore water pressure on tunnel face stability.” Int. J. Numer. Anal. Methods Geomech., 40(15), 2123–2136.
Pan, Q., and Dias, D. (2017a). “Probabilistic evaluation of tunnel face stability in spatially random soils using sparse polynomial chaos expansion with global sensitivity analysis.” Acta Geotech., 12(6), 1415–1429.
Pan, Q., and Dias, D. (2017b). “Upper-bound analysis on the face stability of a non-circular tunnel.” Tunnelling Underground Space Technol., 62, 96–102.
Pan, Q., and Dias, D. (2018). “Three dimensional face stability of a tunnel in weak rock masses subjected to seepage forces.” Tunnelling Underground Space Technol., 71, 555–566.
Pan, Q., Jiang, Y. J., and Dias, D. (2017a). “Probabilistic stability analysis of a three-dimensional rock slope characterized by the Hoek–Brown failure criterion.” J. Comput. Civ. Eng., 04017046.
Pan, Q., Xu, J., and Dias, D. (2017b). “Three-dimensional stability of a slope subjected to seepage forces.” Int. J. Geomech., 04017035.
Perazzelli, P., Leone, T., and Anagnostou, G. (2014). “Tunnel face stability under seepage flow conditions.” Tunnelling Underground Space Technol., 43, 459–469.
Qin, C. B., Chian, S. C., and Yang, X. L. (2017). “3D limit analysis of progressive collapse in partly weathered Hoek–Brown rock banks.” Int. J. Geomech., 04017011.
Saada, Z., Maghous, S., and Garnier, D. (2013). “Pseudo-static analysis of tunnel face stability using the generalized Hoek–Brown strength criterion.” Int. J. Numer. Anal. Methods Geomech., 37(18), 3194–3212.
Sahoo, J. P., and Kumar, J. (2012). “Seismic stability of a long unsupported circular tunnel.” Comput. Geotech., 44, 109–115.
Senent, S., and Jimenez, R. (2015). “A tunnel face failure mechanism for layered ground, considering the possibility of partial collapse.” Tunnelling Underground Space Technol., 47, 182–192.
Senent, S., Mollon, G., and Jimenez, R. (2013). “Tunnel face stability in heavily fractured rock masses that follow the Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci., 60, 440–451.
Shen, J., Priest, S. D., and Karakus, M. (2012). “Determination of Mohr–Coulomb shear strength parameters from generalized Hoek–Brown criterion for slope stability analysis.” Rock Mech. Rock Eng., 45(1), 123–129.
Subrin, D., and Wong, H. (2002). “Tunnel face stability in frictional material: A new 3D failure mechanism.” Comptes Rendus Mecanique, 7(7), 513–519.
Tang, X. W., Liu, W., Albers, B., and Savidis, S. (2014). “Upper bound analysis of tunnel face stability in layered soils.” Acta Geotech., 9(4), 661–671.
Yang, X. L. (2017). “Lower bound analytical solution for bearing capacity factor using modified Hoek–Brown failure criterion.” Can. Geotech. J.
Yang, X. L., Li, L., and Yin, J. H. (2004). “Seismic and static stability analysis for rock slopes by a kinematical approach.” Géotechnique, 54(8), 543–549.
Yang, X. L., and Yao, C. (2018). “Stability of tunnel roof in nonhomogeneous soils.” Int. J. Geomech., 06018002.
Zhao, L. H., Cheng, X., Li, L., Chen, J. Q., and Zhang, Y. (2017). “Seismic displacement along a log-spiral failure surface with crack using rock Hoek–Brown failure criterion.” Soil Dyn. Earthquake. Eng., 99, 74–85.
Zou, J., and Zuo, S. (2017). “Similarity solution for the synchronous grouting of shield tunnel under the vertical non-axisymmetric displacement boundary condition.” Adv. Appl. Math. Mech., 9(1), 205–232.
Zou, J. F., Chen, K. F., and Pan, Q. (2017). “Influences of seepage force and out-of-plane stress on cavity contracting and tunnel opening.” Geomech. Eng., 13(6), 907–928.
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Published In
International Journal of Geomechanics
Volume 18 • Issue 6 • June 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Jul 27, 2017
Accepted: Jan 2, 2018
Published online: Apr 5, 2018
Published in print: Jun 1, 2018
Discussion open until: Sep 5, 2018
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