Technical Notes
Jan 4, 2018

Stability of Tunnel Roof in Nonhomogeneous Soils

Publication: International Journal of Geomechanics
Volume 18, Issue 3

Abstract

The stability of tunnel roof is investigated in nonhomogeneous soils using the theory of plasticity. Based on the nonlinear failure criterion, the expressions of tunnel roof in nonhomogeneous soils are deduced, and the influence of pore pressure is taken into account. The soils are nonhomogeneous in the vertical direction only. Due to the complexity of the differential expressions obtained, a multilayer method is proposed that divides the soil mass into finite layers. Numerical results for tunnel roof stability are obtained through iterated calculation. The results show that the height of the collapsing block increases with increases in the variation of cohesion with depth, while its length increases with increases in the cohesion of the soil mass at the tunnel roof. The rate of increase of cohesion with depth plays an important role in the stability of tunnel roof.

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Acknowledgments

The financial support of the 973 Program (2013CB036004) and the NSF (51378510) are greatly appreciated.

References

Agar, J. G., Morgenstern, N. R., and Scott, J. (1987). “Shear strength and stress–strain behaviour of Athabasca oil sand at elevated temperatures and pressure.” Can. Geotech. J., 24(1), 1–10.
Al-Shamrani, M. A. (2005). “Upper-bound solutions for bearing capacity of strip footings over anisotropic nonhomogeneous clays.” Soils Found., 45(1), 109–124.
Al-Shamrani, M. A., and Moghal, A. A. B. (2012). “Upper bound solutions for bearing capacity of footings on anisotropic cohesive soils.” C. GeoCongress State of the Art and Practice in Geotechnical Engineering, ASCE, Reston, VA, 1066–1075.
Anyaegbunam, A. J. (2015). “Nonlinear Power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications.” Int. J. Geomech., 04014036.
Baker, R., and Frydman, S. (1983). “Upper bound limit analysis of soil with non-linear failure criterion.” Soils Found., 23(4), 34–42.
Baker, R. (2004). “Nonlinear Mohr envelopes based on triaxial data.” J. Geotech. Geoenviron. Eng., 498–506.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier Scientific Publishing, Amsterdam, Netherlands.
Collins, I. F., Gunn, C., Pender, M. J., and Wang, Y. (1988). “Slope stability analyses for materials with a non-linear failure envelope.” Int. J. Numer. Anal. Methods Geomech., 12(5), 533–550.
Davis, E. H., and Christian, J. T. (1971). “Bearing capacity of anisotropic cohesive soil.” J. Soil Mech. Found. Div., 97(5), 753–769.
Davis, E. H., and Booker, J. R. (1973). “The effect of increasing strength with depth on the bearing capacity of clays.” Géotechnique, 23(4), 551–563.
Davis, E. H., Gunn, M. J., Mair, R. J., and Seneviratine, H. N. (1980). “The stability of shallow tunnels and underground openings in cohesive material.” Géotechnique, 30(4), 397–416.
Di Laora, R., and Rovithis, E. (2015). “Kinematic bending of fixed-head piles in nonhomogeneous soil.” J. Geotech. Geoenviron. Eng., 04014126.
Drescher, A., and Christopoulos, C. (1988). “Limit analysis slope stability with nonlinear yield condition.” Int. J. Numer. Anal. Methods Geomech., 12(3), 341–345.
Fraldi, M., and Guarracino, F. (2009). “Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci., 46(4), 665–673.
Fraldi, M., and Guarracino, F. (2010). “Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections.” Int. J. Solids Struct., 47(2), 216–223.
Fraldi, M., and Guarracino, F. (2012). “Limit analysis of progressive tunnel failure of tunnels in Hoek-Brown rock masses.” Int. J. Rock Mech. Min. Sci., 50, 170–173.
Gourvenec, S., and Randolph, M. (2003). “Effect of strength non-homogeneity on the shape of failure envelopes for combined loading of strip and circular foundations on clay.” Géotechnique, 53(6), 575–586.
Hirai, H. (2012). “A Winkler model approach for vertically and laterally loaded piles in nonhomogeneous soil.” Int. J. Numer. Anal. Methods Geomech., 36(17), 1869–1897.
Hirai, H. (2014). “Settlement analysis of rectangular piles in nonhomogeneous soil using a Winkler model approach.” Int. J. Numer. Anal. Methods Geomech., 38(12), 1298–1320.
Hirai, H. (2015). “Analysis of rectangular piles subjected to lateral loads in nonhomogeneous soil using a Winkler model approach.” Int. J. Numer. Anal. Methods Geomech., 39(9), 937–968.
Hoek, E. (1990). “Estimating Mohr–Coulomb friction and cohesion values from the Hoek–Brown failure criterion.” Int. J. Rock Mech. Min. Sci., 27(3), 227–229.
Huang, F., Qin, C.-B., and Li, S.-C. (2013). “Determination of minimum cover depth for shallow tunnel subjected to water pressure.” J. Cent. South Univ. Tech., 20, 2307–2313.
Huang, F., Zhang, D.-B., Sun, Z.-B., and Jin, Q.-Y. (2012). “Upper bound solutions of stability factor of shallow tunnels in saturated soil based on strength reduction technique.” J. Cent. South Univ. Tech., 19, 2008–2015.
Huang, F., Zhang, D.-B., Sun, Z.-B., and Wu, B. (2011). “Influence of pore pressure pressure on upper bound analysis of collapse shape for square tunnel in Hoek–Brown media.” J. Cent. South Univ. Tech., 18, 530.
Jeng, D. S., and Lin, Y. S. (1999). “Pore pressure on a submarine pipeline in a cross-anisotropic nonhomogeneous seabed under water-wave loading.” Can. Geotech. J., 36(3), 563–572.
Kucukarslan, S., and Banerjee, P. K. (2007). “Inelastic transient analysis of piles in nonhomogeneous soil.” Struct. Eng. Mech., 26(5), 545–556.
Liu, Z., and Koyi, H. A. (2014). “Analogue modeling of the collapse of non-homogeneous granular slopes along weak horizons.” Tectonophysics, 632, 76–95.
Michalowski, R. L. (1995). “Slope stability analysis: A kinematical approach.” Géotechnique, 45(2), 283–293.
Mollon, G., Dias, D., and Soubra, A.-H. (2009). “Probabilistic analysis and design of circular tunnels against face stability.” Int. J. Geomech., 237–249.
Murff, J. D., and Miller, T. W. (1977). “Foundation stability on nonhomogeneous clays.” Int. J. Geotech. Eng., 103(10), 1083–1095.
Nian, T. K., Chen, G. Q., Luan, M. T., Yang, Q., and Zheng, D. F. (2008). “Limit analysis of the stability of slopes reinforced with piles against landslide in nonhomogeneous and anisotropic soils.” Canadian Geotechnical Journal, 45(8), 1092–1103.
Pan, Q., and Dias, D. (2016). “Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach.” Int. J. Geomech., 04015076.
Reddy, A. S., and Rao, K. N. V. (1981). “Bearing capacity of strip footing on anisotropic and nonhomogeneous clays.” Soils Found., 21(1), 1–6.
Reddy, A. S., and Rao, K. N. V. (1982). “Bearing capacity of strip footing on c-ψ soils exhibiting anisotropy and non-homogeneity in cohesion.” Soils Found., 22(1), 49–60.
Reddy, A. S., and Srinivasan, R. J. (1970). “Bearing capacity of footings on anisotropic soils.” J. Soil Mech. Found. Div., 96(6), 1967–1986.
Tani, K., and Craig, W. H. (1995). “Bearing capacity of circular foundations on soft clay of strength increasing with depth.” Soils Found., 35(4), 21–35.
Xu, J. S., Pan, Q. J., Yang, X. L., and Li, W. T. (2018). “Stability charts for rock slopes subjected to water drawdown based on the modified nonlinear Hoek-Brown failure criterion.” International Journal of Geomechanics, 18(1):, 04017133.
Yang, X. L., and Li, W. T. (2017). “Reliability analysis of shallow tunnel with surface settlement.” Geomech. Eng., 12(2), 313–326.
Yang, X.-L. (2017). “Effect of pore-water pressure on 3D stability of rock slope.” Int. J. Geomech., 06017015.
Zhang, X. J., and Chen, W. F. (1987). “Stability analysis of slopes with general nonlinear failure criterion.” Int. J. Numer. Anal. Methods Geomech., 11(1), 33–50.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 3March 2018

History

Received: Jun 7, 2017
Accepted: Sep 28, 2017
Published online: Jan 4, 2018
Published in print: Mar 1, 2018
Discussion open until: Jun 4, 2018

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Professor, School of Civil Engineering, Central South Univ., Hunan 410075, China (corresponding author). E-mail: [email protected]
Master’s Student, School of Civil Engineering, Central South Univ. Hunan 410075, China. E-mail: [email protected].

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