Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Upper bound limit analysis of blow-out failure mode of excavation face of shield tunnel considering groundwater seepage

  • Huang, Fu (School of Civil Engineering, Changsha University of Science and Technology) ;
  • Wang, Di (School of Civil Engineering, Changsha University of Science and Technology) ;
  • Xiao, Nan (School of Civil Engineering, Changsha University of Science and Technology) ;
  • Ou, Ruo-Chen (School of Civil Engineering, Changsha University of Science and Technology)
  • Received : 2020.03.07
  • Accepted : 2021.08.03
  • Published : 2021.08.10
⟨ Previous Next ⟩

Abstract

The study of failure mode for the soil in front of a shield tunnel face is a key challenge for tunnel engineering, especially when drilling under the water table. This work aims to study face stability of a shield tunnel under the water table based on an blow-out failure mechanism in the framework of the upper bound theorem of limit analysis in conjunction with variational principle. The seepage force in the seepage field is derived, and seepage force is regarded as an external force which is introduced in the upper bound calculation. Based on the failure characteristic of the blow-out failure for the soil in front of a shield tunnel face, a upper bound failure mechanism is constructed. Using this mechanism, the equation of the failure surface is obtained and the shapes of the failure surfaces for different parameters are plotted. By studying the influence of various parameters on the shape of failure surfaces, the changing laws of the shape of the failure surface for different parameters are obtained.

Keywords

Acknowledgement

This study was supported by the National Natural Science Foundation of China (Grants No. 51878074 and 51908067), Natural Science Foundation of Hunan Province, China (Grant No. 2021JJ30714) and Innovation Driven Project of Central South University (No. 2019CX011). Their financial supports are greatly appreciated.

References

  1. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier Science, Amsterdam, The Netherlands.
  2. Chen, R.P., Yin, X.S., Tang, L.J. and Chen, Y.M. (2018), "Centrifugal model tests on face failure of earth pressure balance shield induced by steady state seepage in saturated sandy silt ground", Tunn. Undergr. Sp. Tech., 81, 315-325. https://doi.org/10.1016/j.tust.2018.06.031.
  3. Huang, F., Ou, R.C., Li, Z.L., Yang, X.L. and Ling, T.H. (2018), "Limit analysis for the face stability of a shallow-shield tunnel based on a variational approach to the blow-out failure mode", Int. J. Geomech., 18(6), 04018038. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001150.
  4. Huang, F., Zhang, M., Wang, F., Ling, T.H. and Yang, X.L. (2020), "The failure mechanism of surrounding rock around an existing shield tunnel induced by an adjacent excavation", Comput. Geotech.,117, 103236. https://doi.org/10.1016/j.compgeo.2019.103236.
  5. 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", Tun. Undergr. Sp. Tech., 49, 18-34. https://doi.org/10.1016/j.tust.2015.04.001.
  6. Leca, E. and Dormieux, L. (1990), "Upper and lower bound solutions forthe face stability of shallow circular tunnels in frictional material", Geotechnique, 40(4), 581-606. https://doi.org/10.1680/geot.1990.40.4.581.
  7. Li, T.Z. and Yang, X.L. (2019), "Three-dimensional face stability of shallow-buried tunnels with tensile strength cut-off", Comput. Geotech., 110, 82-93. https://doi.org/10.1016/j.compgeo.2019.02.014.
  8. Li, Z.W., Yang, X.L. and Li, T.Z. (2019), "Face stability analysis of tunnels under steady unsaturated seepage conditions", Tunn. Undergr. Sp. Tech., 93, 103095. https://doi.org/10.1016/j.tust.2019.103095.
  9. Lv, X.L., Zhou, Y.C., Huang, M.S. and Zeng, S. (2018), "Experimental study of the face stability of shield tunnel in sands under seepage condition", Tunn. Undergr. Sp. Tech., 74, 195-205. https://doi.org/10.1016/j.tust.2018.01.015.
  10. Mollon, G., Dias, D. and Soubra, A.H. (2009), "Probabilistic Analysis and Design of Circular Tunnels against Face Stability", Int. J. Geomech., 9(6), 237-249. https://doi.org/10.1061/(asce)1532-3641(2009)9:6(237).
  11. 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. Met. Geomech., 35(12), 1363-1388. https://doi.org/10.1002/nag.962.
  12. Mollon, G., Dias, D. and Soubra, A.H. (2013), "Continuous velocity fields for collapse and blowout of a pressurized tunnel face in purely cohesive soil", Int. J. Numer. Anal. Met. Geomech., 37(13), 2061-2083. https://doi.org/10.1002/nag.2121.
  13. Pan, Q.J. and Dias, D. (2016), "The effect of pore water pressure on tunnel face stability", Int. J. Numer. Anal. Met. Geomech., 40(15), 2123-2136. https://doi.org/10.1002/nag.2528.
  14. Pan, Q.J. and Dias, D. (2018), "Three dimensional face stability of a tunnel in weak rock masses subjected to seepage forces", Tunn. Undergr. Sp. Tech., 71, 555-566. https://doi.org/10.1016/j.tust.2017.11.003.
  15. Perazzelli, P., Leone, T. and Anagnostou, G. (2014), "Tunnel face stability under seepage flow conditions", Tunn. Undergr. Sp. Tech., 43, 459-469. https://doi.org/10.1016/j.tust.2014.03.001.
  16. Sahoo, J.P. and Kumar, B. (2019), "Support pressure for stability of circular tunnels driven in granular soil under water table", Comput. Geotech., 109, 58-68. https://doi.org/10.1016/j.compgeo.2019.01.005.
  17. 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. https://doi.org/10.1016/j.ijrmms.2013.01.004.
  18. Zhang, B., Ma, Z.Y., Wang, X., Zhang, J.S. and Peng W.Q. (2020), "Reliability analysis of anti-seismic stability of 3D pressurized tunnel faces by response surfaces method", Geomech. Eng., 20(1), 43-54. https://doi.org/10.12989/gae.2020.20.1.043.
  19. Zhang, J.H., Wang, W.J., Zhang, D.B., Zhang, B. and Meng, F. (2018), "Safe range of retaining pressure for three-dimensional face of pressurized tunnels based on limit analysis and reliability method", KSCE J. Civ. Eng., 22(11), 2625-2656. https://doi.org/10.1007/s12205-017-0619-5.