Geomechanics and Engineering

  • 제20권1호
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  • Pages.43-54
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  • 2020
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Reliability analysis of anti-seismic stability of 3D pressurized tunnel faces by response surfaces method

  • Zhang, Biao (School of Civil Engineering, Hunan University of Science and Technology) ;
  • Ma, Zongyu (School of Resource and Environment and Safety Engineering, Hunan University of Science and Technology) ;
  • Wang, Xuan (School of Civil Engineering, Central South University) ;
  • Zhang, Jiasheng (School of Civil Engineering, Central South University) ;
  • Peng, Wenqing (School of Resource and Environment and Safety Engineering, Hunan University of Science and Technology)
  • 투고 : 2019.10.11
  • 심사 : 2019.12.26
  • 발행 : 2020.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The limit analysis and response surfaces method were combined to investigate the reliability of pressurized tunnel faces subjected to seismic force. The quasi-static method was utilized to introduce seismic force into the tunnel face. A 3D horn failure mechanism of pressurized tunnel faces subjected to seismic force was constructed. The collapse pressure of pressurized tunnel faces was solved by the kinematical approach. The limit state equation of pressurized tunnel faces was obtained according to the collapse pressure and support pressure. And then a reliability model of pressurized tunnel faces was established. The feasibility and superiority of the response surfaces method was verified by comparing with the Monte Carlo method. The influence of the mean of soil parameters and support pressure, variation coefficients, distribution type and correlation of c-φ on the reliability of pressurized tunnel faces was discussed. The reasonable safety factor and support pressure required by pressurized tunnel faces to satisfy 3 safety levels were presented. In addition, the effects of horizontal seismic force, vertical seismic force and correlation of kh-kv on the reliability of pressurized tunnel faces were also performed. The method of this work can give a new idea for anti-seismic design of pressurized tunnel faces.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Hunan Provincial Education Department, Natural Science Foundation of Hunan Province

All authors thank the financial support by the National Natural Science Foundation of China (51804113, 51674115 and 51974118), Scientific Research Fund of Hunan Provincial Education Department (17B095) and Natural Science Foundation of Hunan Province (2019JJ40082) for this research work.

참고문헌

  1. Anagnostou, G. and Perazzelli, P. (2013), "The stability of a tunnel face with a free span and a non-uniform support", Geotechnik, 36(1), 40-50. https://doi.org/10.1002/gete.201200014.
  2. Clot, A., Romeu, J. and Arcos, R. (2016), "An energy flow study of a double-deck tunnel under quasi-static and harmonic excitations", Soil Dyn. Earthq. Eng., 89, 1-4. https://doi.org/10.1016/j.soildyn.2016.07.008.
  3. Hernandez, Y.Z., Farfan, A.D. and de Assis, A.P. (2019), "Threedimensional analysis of excavation face stability of shallow tunnels", Tunn. Undergr. Sp. Technol., 92, 103062. https://doi.org/10.1016/j.tust.2019.103062.
  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. Huang, F., Zhao, L.H., Ling, T.H. and Yang, X.L. (2017), "Rock mass collapse mechanism of concealed karst cave beneath deep tunnel", Int. J. Rock Mech. Min. Sci., 91, 133-138. https://doi.org/10.1016/j.ijrmms.2016.11.017.
  6. 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", Tunn. Undergr. Sp. Technol., 49(1), 18-34. https://doi.org/10.1016/j.tust.2015.04.001.
  7. Kim, S.H. and Tonon, F. (2010), "Face stability and required support pressure for TBM driven tunnels with ideal face membrane-Drained case", Tunn. Undergr. Sp. Technol., 25(5), 526-542. https://doi.org/10.1016/j.tust.2010.03.002.
  8. Leca, E. and Dormieux, L. (1990), "Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material", Geotechnique, 40(4), 581-606. https://doi.org/10.1680/geot.1990.40.4.581.
  9. Liang, Q., Yang, X.L., Zhang, J.H. and Zhou, W.Q. (2016), "Upper bound analysis for supporting pressure of shield tunnel in heterogeneous soil", Rock Soil Mech., 37(9), 2585-2592. (in Chinese). https://doi.org/10.16285/j.rsm.2016.09.020.
  10. Lu, Q., Sun, H.Y. and Low, B.K. (2011), "Reliability analysis of ground-support interaction in circular tunnels using the response surface method", Int. J. Rock Mech. Min. Sci., 48(8), 1329-1343. https://doi.org/10.1016/j.ijrmms.2011.09.020.
  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. Meth. Geomech., 35(12), 1363-1388. https://doi.org/10.1002/nag.962.
  12. Mollon, G., Dias, D. and Soubra, A.H. (2013), "Range of the safe retaining pressures of a pressurized tunnel face by a probabilistic approach", J. Geotech. Geoenviron. Eng., 139(11), 1954-1967. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000911.
  13. 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. Technol., 71, 555-566. https://doi.org/10.1016/j.tust.2017.11.003.
  14. 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. Meth. Geomech., 37(18), 3194-3212. https://doi.org/10.1002/nag.2185.
  15. 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.
  16. 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(1), 440-451. https://doi.org/10.1016/j.ijrmms.2013.01.004.
  17. Subrin, D. and Wong, H. (2002), "Tunnel face stability in frictional material: a new 3D failure mechanism", CR Mecanique, 330(7), 513-519. https://doi.org/10.1016/S1631-0721(02)01491-2.
  18. Su, Y.H., Zhang, P. and Zhao, M.H. (2007), "Improved response surface method and its application in stability reliability degree analysis of tunnel surrounding rock", J. Central South Univ. Sci. Technol., 14(6), 870-876. https://doi.org/10.1007/s11771-007-0165-2.
  19. Shrestha, P.K. and Panthi, K.K. (2014), "Groundwater effect on faulted rock mass: an evaluation of Modi Khola pressure tunnel in the Nepal Himalaya", Rock Mech. Rock Eng., 47(3), 1021-1035. https://doi.org/10.1007/s00603-013-0467-7.
  20. Wu, Q.H., Weng, L., Zhao, Y.L., Guo, B.H, and Luo, T. (2019), "On the tensile mechanical characteristics of fine-grained granite after heating/cooling treatments with different cooling rates", Eng. Geol., 253, 94-110. https://doi.org/10.1016/j.enggeo.2019.03.014.
  21. Yang, Z.H., Yang, X.L., Zhang, J.H., and Li, Y.X. (2015), "Upper bound analysis of collapsing area of tunnel face in broken soft rocks under different saturations", J. Central South Univ. Technol., 46(6), 2267-2273 (in Chinese). https://doi.org/10.11817/j.issn.1672-7207.2015.06.
  22. Zhang, B., Wang, X., Zhang, J.S. and Meng, F. (2017), "Three-dimensional limit analysis of seismic stability of tunnel faces with quasi-static method", Geomech. Eng., 13(2), 301-318. https://doi.org/10.12989/gae.2017.13.2.301.
  23. Zhang, D.B., Jiang, Y. and Yang, X.L. (2019b), "Estimation of 3D active earth pressure under nonlinear strength condition", Geomech. Eng., 17(6), 515-525. https://doi.org/10.12989/gae.2019.17.6.515.
  24. Zhang, J.H., Wang, W.J., Zhang, B. and Zhang, D.B. (2019a), "Upper bound analysis for collapse failure of shield tunnel face excavated in unsaturated soils considering steady vertical flow", Math Probl. Eng., Article ID 2145616. https://doi.org/10.1155/2019/2145616.
  25. 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), 4645-4656. https://doi.org/10.1007/s12205-017-0619-5.
  26. Zhang, Z.Z., Deng, M., Bai, J.B., Yu, X.Y., Wu, Q.H. and Jiang, L.S. (2020), "Strain energy evolution and conversion under triaxial unloading confining pressure tests due to gob-side entry retained", Int. J. Rock Mech. Min. Sci., 126, 104184. https://doi.org/10.1016/j.ijrmms.2019.104184.
  27. Zhang, Z.Z., Yu, X.Y., Wu, H. and Deng, M. (2019c), "Stability control for gob-side entry retaining with supercritical etained entry width in thick coal seam longwall mining", Energies, 12(7), 1375. https://doi.org/10.3390/en12071375.

피인용 문헌

  1. Reliability Analysis of Seismic Stability of Shield Tunnel Face under Multiple Correlated Failure Modes vol.25, pp.8, 2020, https://doi.org/10.1007/s12205-021-2174-3
  2. Upper bound limit analysis of blow-out failure mode of excavation face of shield tunnel considering groundwater seepage vol.26, pp.3, 2020, https://doi.org/10.12989/gae.2021.26.3.227