Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Influences of seepage force and out-of-plane stress on cavity contracting and tunnel opening

  • Zou, Jin-Feng (School of Civil Engineering, Central South University) ;
  • Chen, Kai-Fu (School of Civil Engineering, Central South University) ;
  • Pan, Qiu-Jing (Laboratory 3SR, Grenoble Alpes Unviersity)
  • Received : 2016.10.16
  • Accepted : 2017.05.18
  • Published : 2017.12.25
⟨ Previous Next ⟩

Abstract

The effects of seepage force and out-of-plane stress on cavity contracting and tunnel opening was investigated in this study. The generalized Hoek-Brown (H-B) failure criterion and non-associated flow rule were adopted. Because of the complex solution of pore pressure in an arbitrary direction, only the pore pressure through the radial direction was assumed in this paper. In order to investigate the effect of out-of-plane stress and seepage force on the cavity contraction and circular tunnel opening, three cases of the out-of-plane stress being the minor, intermediate, or major principal stress are assumed separately. A method of plane strain problem is adopted to obtain the stress and strain for cavity contracting and circular tunnel opening for three cases, respectively, that incorporated the effects of seepage force. The proposed solutions were validated by the published results and the correction is verified. Several cases were analyzed, and parameter studies were conducted to highlight the effects of seepage force, H-B constants, and out-of-plane stress on stress, displacement, and plastic radius with the numerical method. The proposed method may be used to address the complex problems of cavity contraction and tunnel opening in rock mass.

Keywords

References

  1. Banerjee, S.K. and Chakraborty, D. (2016), "Seismic stability of a long unlined circular tunnel in sloping ground", Can. Geotech. J., 53(8), 1346-1352. https://doi.org/10.1139/cgj-2015-0196
  2. Bear, J. (1988), Dynamics of Fluids in Porous Media, Dover Publications Inc., New York, U.S.A.
  3. Bousbia, N. and Messast, S. (2015), "Numerical modeling of two parallel tunnels interaction using threedimensional finite elements method", Geomech. Eng., 9(6), 775-791. https://doi.org/10.12989/gae.2015.9.6.775
  4. Carranza-Torres, C. and Fairhurst, C. (1999), "The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion", J. Rock. Mech. Min. Sci., 36(6), 777-809.
  5. Di, H.G., Zhou, S.H., He, C., Zhang, X.H. and Luo, Z. (2016), "Three-dimensional multilayer cylindrical tunnel model for calculating train-induced dynamic stress in saturated soils", Comput. Geotech., 80(12), 333-345. https://doi.org/10.1016/j.compgeo.2016.08.005
  6. Fahimifar, A. and Zareifard, M.R. (2009), "A theoretical solution for analysis of tunnels below groundwater considering the hydraulic-mechanical coupling", Tunn. Undergr. Sp. Tech., 24(6), 634-646. https://doi.org/10.1016/j.tust.2009.06.002
  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. Huang, F., Zhu, H.H., Jiang, S.P. and Liang, B. (2016), "Excavation-damaged zone around tunnel surface under different release ratios of displacement", J. Geomech., 17(1), 04016094
  9. Lee, S.W., Jung, J.W., Nam, S.W. and Lee, I.M. (2006), "The influence of seepage forces on ground reaction curve of circular opening", Tunn. Undergr. Sp. Technol., 22(1), 28-38.
  10. Li, Z.L., Ren, Q.W. and Wang, Y.H. (2004), "Elasto-plastic analytical solution of deep-buried circle tunnel considering fluid flow field", Chin. J. Rock Mech. Eng., 23(4), 1291-1295.
  11. Liang, R.Z., Xia, T.D., Huang, M.S. and Lin, C.G. (2107), "Simplified analytical method for evaluating the effects of adjacent excavation on shield tunnel considering the shearing effect", Comput. Geotech., 81(2), 167-187. https://doi.org/10.1016/j.compgeo.2016.08.017
  12. Lu, A.Z., Xu, G.S., Sun, F. and Sun, W.Q. (2010), "Elasto-plastic analysis of a circular tunnel including the effects of the axial in situ stress", J. Rock. Mech. Min. Sci., 47(1), 50-59. https://doi.org/10.1016/j.ijrmms.2009.07.003
  13. Lukic, D.C., Prokic, A.D., Brcic, S.V., Lukic, D.C., Prokic, A.D. and Brcic, S.V. (2014). "Stress state around cylindrical cavities in transversally isotropic rock mass", Geomech. Eng., 6(3), 213-233. https://doi.org/10.12989/gae.2014.6.3.213
  14. Mohamed, E.T. (2003), "Circular tunnel in a semi-infinite aquifer", Tunn. Undergr. Sp. Tech., 18(1), 49-55. https://doi.org/10.1016/S0886-7798(02)00102-5
  15. Mohammadi, M. and Tavakoli, H. (2015), "Comparing the generalized hoek-brown and mohr-coulomb failure criteria for stress analysis on the rocks failure plane", Geomech. Eng., 9(1), 115-124. https://doi.org/10.12989/gae.2015.9.1.115
  16. Pan, Q.J. and Dias, D. (2016), "The effect of pore water pressure on tunnel face stability", J. Numer. Anal. Met. Geomech., 40(15), 2123-2136. https://doi.org/10.1002/nag.2528
  17. Pan, X.D. and Brown, E.T. (1996), "Influence of axial stress and dilatancy on rock tunnel stability", J. Geotech. Eng., 122(2), 139-146. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(139)
  18. Reed, M.B. (1988), "The influence of out-of-plane stress on a plane strain problem in rock mechanics", J. Numer. Anal. Met. Geomech., 12(2), 173-181. https://doi.org/10.1002/nag.1610120205
  19. Sharan, S.K. (2008), "Analytical solutions for stresses and displacements around a circular opening in generalized Hoek-Brown rock", J. Rock Mech. Min. Sci., 45(1), 78-85. https://doi.org/10.1016/j.ijrmms.2007.03.002
  20. Shi, J.W., Wang, Y. and Ng, C.W.W. (2016), "Three-dimensional centrifuge modeling of ground and pipeline response to tunnel excavation", J. Geotech. Geoenviron., 142(11), 0001529.
  21. Shin, Y.J., Song, K.I., Lee, I.M. and Cho, G.C. (2011), "Interaction between tunnel supports and ground convergence-Consideration of seepage forces", J. Rock Mech. Min. Sci., 48(3), 394-405. https://doi.org/10.1016/j.ijrmms.2011.01.003
  22. Wan, L., Wei, Z. and Shen, J. (2016). Charts for estimating rock mass shear strength parameters", Geomech. Eng., 10(3), 257-267. https://doi.org/10.12989/gae.2016.10.3.257
  23. Wang, S.L., Wu, Z., Guo, M.W. and Ge, X.R. (2012a), "Theoretical solutions of a circular tunnel with the influence of axial in situ stress in elastic-brittle-plastic rock", Tunn. Undergr. Sp. Tech., 30(518-523), 155-168. https://doi.org/10.1016/j.tust.2012.02.016
  24. Wang, Y. (1996), "Ground response of circular tunnel in poorly consolidated rock", J. Geotech. Eng., 122(9), 703-708. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:9(703)
  25. Yang, X.L. and Pan, Q.J. (2015), "Three dimensional seismic and static stability of rock slopes", Geomech. Eng., 8(1), 97-111. https://doi.org/10.12989/gae.2015.8.1.097
  26. Yang, X.L. and Yan, R.M. (2015), "Collapse mechanism for deep tunnel subjected to seepage force in layered soils", Geomech. Eng., 8(5), 741-756. https://doi.org/10.12989/gae.2015.8.5.741
  27. Yang, X.L. and Yin, J.H. (2010), "Slope equivalent Mohr-Coulomb strength parameters for rock masses satisfying the Hoek-Brown criterion", Rock Mech. Rock Eng., 43(4), 505-511. https://doi.org/10.1007/s00603-009-0044-2
  28. Yang, X.L., and Qin, C.B. (2014). "Limit analysis of rectangular cavity subjected to seepage forces based on hoek-brown failure criterion", Geomech. Eng., 6(5), 503-515. https://doi.org/10.12989/gae.2014.6.5.503
  29. Yang, X.L., Xu, J.S., Li, Y.X. and Yan, R.M. (2016), "Collapse mechanism of tunnel roof considering joined influences of nonlinearity and non-associated flow rule", Geomech. Eng., 10(1), 21-35. https://doi.org/10.12989/gae.2016.10.1.021
  30. Yu, H. S. (2000), Cavity Expansion Methods in Geomechanics, Dordrecht: Kluwer Academic Publishers.
  31. Zhang, L.M., Wu, X.G., Ji, W.Y. and AbouRizk, S.M. (2016). "Intelligent approach to estimation of tunnelinduced ground settlement using wavelet packet and support vector machines", J. Comput. Civ. Eng., 30(4), 0000621.
  32. Zhou, H., Kong, G. and Liu, H. (2016), "A semi-analytical solution for cylindrical cavity expansion in elastic-perfectly plastic soil under biaxial in situ stress field", Geotech., 66(9), 1-3. https://doi.org/10.1680/jgeot.14.P.234
  33. Zhou, H., Kong, G., Li, P. and Liu, H. (2015), "Flat cavity expansion: Theoretical model and application to the interpretation of the flat dilatometer test", J. Eng. Mech., 212(1), 1-7.
  34. Zhou, H., Liu, H.L., Kong, G.Q. and Huang, X. (2014), "Analytical solution of undrained cylindrical cavity expansion in saturated soil under anisotropic initial stress", Comput. Geotech., 55(2), 232-239. https://doi.org/10.1016/j.compgeo.2013.09.011
  35. Zhou, X.P. and Li, J.L. (2011), "Hoek-Brown criterion applied to circular tunnel using elasto-plasticity and in situ axial stress", Theor. Appl. Fract. Mec., 56(2), 95-103. https://doi.org/10.1016/j.tafmec.2011.10.005
  36. Zhuang, L., Nakata, Y. and Lee, I.M. (2013). "Localized deformation in sands and glass beads subjected to plane strain compressions", Geomech. Eng., 5(6), 499-517. https://doi.org/10.12989/gae.2013.5.6.499
  37. Zou J.F. and Du J.M. (2017), "A new approach for the quasi-plane strain-softening problem of cylindrical cavity expansion based on Cam-Clay model", J. Mech. Sci. Technol., 31(3), 1315-1320. https://doi.org/10.1007/s12206-017-0230-1
  38. Zou J.F., Du J.M. and Dan H.C. (2017d), "Solution for strain-softening surrounding rock reinforced by grouted bolts", Adv. Mech. Eng., 9(5), 1-18.
  39. Zou, J.F. and Xia, M.Y. (2017a), "A new approach for the cylindrical cavity expansion problem incorporating deformation dependent of intermediate principal stress", Geomech. Eng., 11(3), 347-360.
  40. Zou, J.F. and Xia, Z.Q. (2017b), "A closed-form solution for the cavity expansion in the strain-softening and undrained soil mass based on the unified strength failure criterion", J. Geomech., 17(9), 04017046. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000927
  41. Zou, J.F. and Zuo, S.Q. (2017), "Similarity solution for the synchronous grouting of shield tunnels under the non-axisymmetric displacement boundary on vertical surface", Adv. Appl. Math. Mech., 9(1), 205-232. https://doi.org/10.4208/aamm.2016.m1479
  42. Zou, J. F., Li, C. and Wang, F. (2017c), "A new procedure for ground response curve (GRC) in strainsoftening surrounding rock", Comput. Geotech., 89, 81-91. https://doi.org/10.1016/j.compgeo.2017.04.009
  43. Zou, J.F., Xia, Z.Q. and Dan, H.C. (2016), "Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rockbolt", Geomech. Eng., 11(3), 439-455. https://doi.org/10.12989/gae.2016.11.3.439