Geomechanics and Engineering

  • 제8권3호
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  • Pages.323-359
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  • 2015
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

The ground response curve of underwater tunnels, excavated in a strain-softening rock mass

  • Fahimifar, Ahmad (Department of Civil and Environmental Engineering, Amirkabir University of Technology) ;
  • Ghadami, Hamed (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Ahmadvand, Masoud (Department of Civil Engineering, Tafresh University)
  • 투고 : 2013.12.28
  • 심사 : 2014.12.02
  • 발행 : 2015.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents an elasto-plastic model for determination of the ground response curve of a circular underwater tunnel excavated in elastic-strain softening rock mass compatible with a nonlinear Hoek-Brown yield criterion. The finite difference method (FDM) was used to propose a new solution to calculate pore water pressure, stress, and strain distributions on periphery of circular tunnels in axisymmetric and plain strain conditions. In the proposed solution, a modified non-radial flow pattern, for the hydraulic analysis, is utilized. To evaluate the effect of gravitational loads and variations of pore water pressure, the equations concerning different directions around the tunnel (crown, wall, and floor) are derived. Regarding the strain-softening behavior of the rock mass, the stepwise method is executed for the plastic zone in which parameters of strength, dilatancy, stresses, strains, and deformation are different from their elasto-plastic boundary values as compared to the tunnel boundary values. Besides, the analytical equations are developed for the elastic zone. The accuracy and application of the proposed method is demonstrated by a number of examples. The results present the effects of seepage body forces, gravitational loads and dilatancy angle on ground response curve appropriately.

키워드

참고문헌

  1. Alonso, E., Alejano, L.R., Varas, F., Fdez-Manin, G. and Carranza-Torres, C. (2003), "Ground response curves for rock masses exhibiting strain-softening behavior", Int. J. Numer. Anal. Method. Geomech., 27(13), 1153-1185. https://doi.org/10.1002/nag.315
  2. Brown, E.T. and Bray, J.W. (1982), "Rock-lining interaction calculations for pressure shafts and tunnels", ISRM Symposium, Aachen, Germany, pp. 26-28.
  3. Brown, E.T., Bray, J.W., Ladanyi, B and Hoek, E. (1983), "Ground response curves for rock tunnels", J. Geotech. Eng., 109(1), 15-39. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:1(15)
  4. Carranza-Torres, C. (2004), "Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion", Int. J. Rock. Mech. Min. Sci., 41, 480-481. https://doi.org/10.1016/j.ijrmms.2003.12.014
  5. Carranza-Torres, C. and Fairhurst, C. (1999), "On the stability of tunnels under gravity loading, with post-peak softening of the ground", Int. J. Rock. Mech. Min. Sci., 34(3-4), 75.e1-75.e18. https://doi.org/10.1016/S1365-1609(97)00253-0
  6. Detournay, E. and Fairhurst, C. (1987), "Two dimensional elastoplastic analysis of along, cylindrical cavity under non-hydrostatic loading", Int. J. Rock. Mech. Min. Sci. Geomech. Abs., 24(4), 197-211. https://doi.org/10.1016/0148-9062(87)90175-6
  7. 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
  8. Fahimifar, A., Ghadami, H. and Ahmadvand, M. (2014), "The influence of seepage and gravitational loads on elastoplastic solution of circular tunnels", Sci Iran., 21(6), 1821-1832.
  9. Fahimifar, A., Ghadami, H. and Ahmadvand, M. (2015), "An elasto-plastic model for underwater tunnels considering seepage body forces and strain-softening behaviour", Eur. J. Environ. Civ. Eng., 19(2), 129-151. https://doi.org/10.1080/19648189.2014.939305
  10. Fernandez, G. (1994), "Behavior of pressure tunnels and guidelines for liner design", J. Geotech. Eng., 120(10), 1768-1791. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:10(1768)
  11. Hoek, E. and Brown, E. (1980), "Empirical strength criterion for rock masses", J. Geotech. Eng., 106(GT9), 1013-1035.
  12. Kolymbas, D. and Wagner, P. (2007), "Groundwater ingress to tunnels - the exact analytical solution", Tunn. Undergr. Sp. Tech., 22(1), 23-27. https://doi.org/10.1016/j.tust.2006.02.001
  13. Lee, Y-K. and Pietruszczak, S. (2008), "A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass", Tunn. Undergr. Sp. Tech., 23(5), 588-599. https://doi.org/10.1016/j.tust.2007.11.002
  14. 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. Tech., 22(1), 28-38.
  15. Ming, H., Meng-Shu, W., Tan, Z-S. and Xiu-Ying, W. (2010), "Analytical solution for steady seepage into an underwater circular tunnel", Tunn. Undergr. Sp. Tech., 25(4), 391-396. https://doi.org/10.1016/j.tust.2010.02.002
  16. Park, K-H. and Kim, Y-J. (2006), "Analytical solution for a circular opening in, an elasto-brittle-plastic rock", Int. J. Rock. Mech. Min. Sci., 43(4), 616-622. https://doi.org/10.1016/j.ijrmms.2005.11.004
  17. Park, K-H., Tontavanich, B. and Lee, J.-G. (2008), "A simple procedure for ground response Curve of circular tunnel in elastic-strain softening rock masses", Tunn. Undergr. Sp. Tech., 23(2), 151-159. https://doi.org/10.1016/j.tust.2007.03.002
  18. Sharan, S.K. (2003), "Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media", Int. J. Rock. Mech. Min. Sci., 40(6), 817-824. https://doi.org/10.1016/S1365-1609(03)00040-6
  19. Sharan, S.K. (2005), "Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock", Int. J. Rock. Mech. Min. Sci., 42(4), 542-549. https://doi.org/10.1016/j.ijrmms.2005.03.019
  20. Shin, J.H., Shin, Y.S., Kim, S.H. and Shin, H.S. (2007), "Evaluation of residual pore water pressures on linings for undersea tunnels", Chin. J. Rock. Mech. Eng., 26(2), 3682-3688.
  21. Shin, Y.J., Kim, B.M., Shin, J.H. and Lee, I.M. (2010), "The ground reaction curve of underwater tunnels considering seepage forces", Tunn. Undergr. Sp. Tech., 25(4), 315-324. https://doi.org/10.1016/j.tust.2010.01.005
  22. Shin, J.H., Lee, I.M. and Shin, Y.J. (2011), "Elasto‐plastic seepage‐induced stresses due to tunneling", Int. J. Numer. Anal. Method. Geomech., 35(13), 1432-1450. https://doi.org/10.1002/nag.964
  23. Skempton, A.W. (1961), "Effective stress in soils, concrete and rock", In: Pore Pressure and Suction in Soils, Butterworth, London, UK, pp. 4-16.
  24. Terzaghi, K. (1923), "Die berechnung der durchlassigkeitsziffer des tones aus dem verlauf der hydrodynamischen spannungerscheinungen", Sitz. Akad. Wissen. Wien, Math. Naturwiss. Kl., Abt. IIa, 132, 125-138.
  25. Timoshenko, S.P. and Goodier, J.N. (1982), Theory of Elasticity, McGraw-Hill, New York, NY, USA.
  26. 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)
  27. Zareifard, M.R. and Fahimifar, A. (2012), "A new solution for shallow and deep tunnels by considering the gravitational Loads", Acta. Geotech. Slov., 2012(2).

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