DOI QR코드

DOI QR Code

3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure

  • Luo, W.J. (School of Civil Engineering and Architecture, East China Jiaotong University) ;
  • Yang, X.L. (School of Civil Engineering, Central South University)
  • 투고 : 2018.04.22
  • 심사 : 2018.10.11
  • 발행 : 2018.12.30

초록

The stability of shallow cavities with an arbitrary profile is a difficult issue in geotechnical engineering. This paper investigates this problem on the basis of the upper bound theorem of limit analysis and the Hoek-Brown failure criterion. The influence of pore pressure is taken into consideration by regarding it as an external force acting on rock skeleton. An objective function is constructed by equating the internal energy dissipation to the external force work. Then the Lagrange variation approach is used to solve this function. The validity of the proposed method is demonstrated by comparing the analytical solutions with the published research. The relations between shallow and deep cavity are revealed as well. The detaching curve of cavity roof with elliptical profile is obtained. In order to facilitate the application of engineering practice, the numerical results are tabulated, which play an important role in tunnel design and stability analysis of roof. The influential factors on potential collapse are taken into consideration. From the results, the impact of various factors on the extent of detaching is seen intuitively.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation

참고문헌

  1. Agar, J.G., Morgenstern, N.R. and Scott, J. (1985), "Shear strength and stress-strain behavior of Athabasca oil sand at elevated temperatures and pressure", Can. Geotech. J., 24(1), 1-10. https://doi.org/10.1139/t87-001
  2. Aminpour, M.M., Maleki, M. and Ghanbari, A. (2017), "Investigation of the effect of surcharge on behavior of soil slopes", Geomech. Eng., 13(4), 653-669. https://doi.org/10.12989/gae.2017.13.4.653
  3. Anyaegbunam, A.J. (2015), "Nonlinear power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications", Int. J. Geomech., 15(1), 04014036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000348
  4. Augarde, C.E., Lyamin, A.V. and Sloan, S.W. (2003), "Prediction of undrained sinkhole collapse", J. Geotech. Geoenviron. Eng., 129(3), 197-205. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:3(197)
  5. Carranza-Torres, C. and Reich, T. (2017), "Analytical and numerical study of the stability of shallow underground circular openings in cohesive ground", Eng. Geol., 226, 70-92. https://doi.org/10.1016/j.enggeo.2017.05.013
  6. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier.
  7. Fahimifar, A., Ghadami, H. and Ahmadvand, M. (2015), "The ground response curve of underwater tunnels, excavated in a strain-softening rock mass", Geomech. Eng., 8(3), 323-359. https://doi.org/10.12989/gae.2015.8.3.323
  8. 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. https://doi.org/10.1016/j.ijrmms.2008.09.014
  9. Fraldi, M. and Guarracino, F. (2010), "Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections", Int. J. Solid. Struct., 47(2), 216-223. https://doi.org/10.1016/j.ijsolstr.2009.09.028
  10. Guan, K., Zhu, W.C., Niu, L.L. and Wang, Q.Y. (2017), "Threedimensional upper bound limit analysis of supported cavity roof with arbitrary profile in Hoek-Brown rock mass", Tunn. Undergr. Sp. Technol., 69, 147-154. https://doi.org/10.1016/j.tust.2017.06.016
  11. Hoek, E. and Brown, E.T. (1980), "Empirical strength criterion for rock masses", J. Geotech. Eng. Div., 106(9), 1013-1035.
  12. Hoek, E. and Brown, E.T. (1997), "Practical estimates of rock mass strength", Int. J. Rock Mech. Min. Sci., 34(8), 1165-1186. https://doi.org/10.1016/S1365-1609(97)80069-X
  13. Huang, F. (2012), "Upper bound analysis of collapsing mechanism of surrounding rock and rockbolt supporting structures for tunnels", Ph.D. Thesis, Central South University, Changsha, China.
  14. Jin, S., Jin, J. and Gong, Y. (2017), "Natural ventilation of urban shallowly-buried road tunnels with roof openings", Tunn. Undergr. Sp. Technol., 63, 217-227. https://doi.org/10.1016/j.tust.2016.12.019
  15. Lee, Y.J. (2016), "Determination of tunnel support pressure under the pile tip using upper and lower bounds with a superimposed approach", Geomech. Eng., 11(4), 587-605. https://doi.org/10.12989/gae.2016.11.4.587
  16. Li, Y.X. and Yang, X.L. (2018a), "Three-dimensional seismic displacement analysis of rock slopes based on Hoek-Brown failure criterion", KSCE J. Civ. Eng., 22(11), 4334-4344. https://doi.org/10.1007/s12205-018-3022-y
  17. Li, Z.W. and Yang, X.L. (2018b), "Stability of 3D slope under steady unsaturated flow condition", Eng. Geol., 242, 150-159. https://doi.org/10.1016/j.enggeo.2018.06.004
  18. Li, Z.W. and Yang, X.L. (2018c), "Active earth pressure for soils with tension cracks under steady unsaturated flow conditions", Can. Geotech. J., 55(12), 1850-1859. https://doi.org/10.1139/cgj-2017-0713
  19. Mollon, G. and Dias, D. (2009), "Probabilistic analysis of circular tunnels in homogeneous soil using response surface methodology", J. Geotech. Geoenviron. Eng., 135(9), 1314-1325. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000060
  20. 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(2), 440-451. https://doi.org/10.1016/j.ijrmms.2013.01.004
  21. Serrano, A. and Olalla, C. (1999), "Tensile resistance of rock anchors", Int. J. Rock Mech. Min. Sci., 36(4), 449-474. https://doi.org/10.1016/S0148-9062(99)00021-2
  22. Sofianos, A.I. and Halakatevakis, N. (2002), "Equivalent tunnelling Mohr-Coulomb strength parameters from given Hoek-Brown ones", Int. J. Rock Mech. Min. Sci., 39(1), 131-137. https://doi.org/10.1016/S1365-1609(02)00014-X
  23. Viratjandr, C. and Michalowski, R.L. (2006), "Limit analysis of submerged slopes subjected to water drawdown", Can. Geotech. J., 43(8), 802-814. https://doi.org/10.1139/t06-042
  24. Xu, J.S. and Yang, X.L. (2018), "Three-dimensional stability analysis of slope in unsaturated soils considering strength nonlinearity under water drawdown", Eng. Geol., 237, 102-115. https://doi.org/10.1016/j.enggeo.2018.02.010
  25. Xu, J.S., Li, Y.X. and Yang, X.L. (2018), "Seismic and static 3D stability of two-stage slope considering joined influences of nonlinearity and dilatancy", KSCE J. Civ. Eng., 22(10), 3827-3836. https://doi.org/10.1007/s12205-018-0636-z
  26. Yang, X.L. and Li, Z.W. (2018c), "Upper bound analysis of 3D static and seismic active earth pressure", Soil Dyn. Earthq. Eng., 108, 18-28. https://doi.org/10.1016/j.soildyn.2018.02.006
  27. Yang, X.L. and Liu, Z.A. (2018), "Reliability analysis of threedimensional rock slope", Geomech. Eng., 15(6), 1183-1191. https://doi.org/10.12989/gae.2018.15.6.1183
  28. Yang, X.L. and Zhang, S. (2018), "Risk assessment model of tunnel water inrush based on improved attribute mathematical theory", J. Central South Univ., 25(2), 379-391. https://doi.org/10.1007/s11771-018-3744-5
  29. Yang, X.L. and Li, Z.W. (2018a), "Factor of safety of threedimensional stepped slopes", Int. J. Geomech., 18(6), 04018036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001154
  30. Yang, X.L. and Li, Z.W. (2018b), "Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion", Int. J. Numer. Anal. Meth. Geomech., 42(7), 916-930. https://doi.org/10.1002/nag.2771
  31. Yang, X.L. and Wang, H.Y. (2018), "Catastrophe analysis of active-passive mechanisms for shallow tunnels with settlement", Geomech. Eng., 15(1), 621-630. https://doi.org/10.12989/GAE.2018.15.1.621
  32. Yang, X.L., Zhou, T. and Li, W.T. (2018), "Reliability analysis of tunnel roof in layered Hoek-Brown rock masses", Comput. Geotech., 104, 302-309. https://doi.org/10.1016/j.compgeo.2017.12.007

피인용 문헌

  1. Influences of Saturation and Wetting-Drying Cycle on Mechanical Performances of Argillaceous Limestones from Liupanshan Tunnel, China vol.2019, pp.None, 2018, https://doi.org/10.1155/2019/9236172
  2. 3D Rotational Failure Mechanism of Tunnel Face in Weathered and Saturated Hoek-Brown Rock Masses vol.23, pp.6, 2019, https://doi.org/10.1007/s12205-019-1048-4