DOI QR코드

DOI QR Code

Analysis of stress distribution around tunnels by hybridized FSM and DDM considering the influences of joints parameters

  • Nikadat, Nooraddin (Department of Mine Exploitation Engineering, Faculty of Mining and Metallurgy) ;
  • Marji, Mohammad Fatehi (Department of Mine Exploitation Engineering, Faculty of Mining and Metallurgy)
  • Received : 2015.02.05
  • Accepted : 2016.04.28
  • Published : 2016.08.25

Abstract

The jointed rock mass behavior often plays a major role in the design of underground excavation, and their failures during excavation and in operation, are usually closely related to joints. This research attempts to evaluate the effects of two basic geometric factors influencing tunnel behavior in a jointed rock mass; joints spacing and joints orientation. A hybridized indirect boundary element code known as TFSDDM (Two-dimensional Fictitious Stress Displacement Discontinuity Method) is used to study the stress distribution around the tunnels excavated in jointed rock masses. This numerical analysis revealed that both the dip angle and spacing of joints have important influences on stress distribution on tunnel walls. For example the tensile and compressive tangential stresses at the boundary of the circular tunnel increase by reduction in the joint spacing, and by increase the dip joint angle the tensile stress in the tunnel roof decreases.

Keywords

References

  1. Ahmadi, N., Fatehi Marji, M. and Yarahmadi Bafghi, A. (2015), "Modeling the effect of faults on the tangential stress distribution around two adjacent tunnels using indirect boundary element method" Proceedings of the 5th Iranian Mining Engineering Conference, Tehran, Iran, October. [In Persian]
  2. Ansari, H. and HodHodi, M. (2015), "Evaluation Stress around circular tunnel using analytical and numerical methods", Proceedings of the 1st Technical Engineering Conference, Tehran, Iran, December. In Persian]
  3. Bieniawski, Z.T. (1974), "Geo-mechanics classification of rock masses and its application in tunneling", Proceedings of the 3rd Congress of the International Society for Rock Mechanics, (Volume 2), Washington, D.C., USA, pp. 27-32.
  4. Button, E.A., Leitner, R., Poetsch, M. and Schubert, W. (2006), "Spatial relationships between discontinuity orientation and system behavior in underground excavations", Golden Rocks, 50, 189-201.
  5. Crouch, S.L. and Starfield, A.M. (1983), Boundary Element Methods in Solid Mechanics, George Allen & Unwin (Publishers) Ltd.
  6. Fatehi Marji, M. (2014), "Numerical analysis of quasi-static crack branching in brittle solids by a modified displacement discontinuity method", Int. J. Solids Struct., 51(9), 1716-1736. https://doi.org/10.1016/j.ijsolstr.2014.01.022
  7. Fatehi Marji, M. and Hajibagherpour, A. (2008), "On the stability analysis of shallow tunnels in hard rocks by a hybridized Boundary Element/Finite Difference (BE/FD) Method", Proceedings of the 6th International Symposium Rock Bolting in Mining, Injection Technology and Roadway Support Systems, Mining Engineering Department, RWTH University; Aachen, Germany, May.
  8. Fatehi Marji, M. and Hosseini-Nasab, H. (2005), "Application of higher order displacement discontinuity method using special crack tip elements in rock fracture mechanics", Proceedings of the 20th World Mining Congress & Expo, Tehran, Iran, November, pp. 699-704.
  9. Fatehi Marji, M. and Manouchehrian, A. (2010), "Investigation of horizontal to vertical stress ratio (K) effect on displacement and stress concentration around underground Excavation by using BEM", Proceedings of the 3rd Iranian Mining Engineering Conference, Yazd University, Yazd, Iran, January.
  10. Fotoohi, K. and Mitri, H. (1996), "Non-linear fault behavior near underground excavations-A boundary element approach", Int. J. Numer. Anal. Meth. Geomech., 20(3), 173-190. https://doi.org/10.1002/(SICI)1096-9853(199603)20:3<173::AID-NAG814>3.0.CO;2-H
  11. Goodman, R.E., Heuze, H.E. and Bureau, G.J. (1972), "On modeling techniques for the study of tunnels in jointed rock", Proceedings of the 14th Symposium on Rock Mechanics, University Park, PA, USA, June, pp. 441-479.
  12. Goricki, A., Button, A., Schubert, W., Markus, P. and Roland, L. (2005), "The Influence of Discontinuity Orientation on the Behavior of Tunnels", Felsbau, 23(5), 12-18.
  13. Jia, P. and Tang, C.A. (2008), "Numerical study on failure mechanism of tunnel in jointed rock mass", Tunn. Undergr. Space Technol., 23(5), 500-507. https://doi.org/10.1016/j.tust.2007.09.001
  14. Jiang, Y., Tanabashi, Y., Li, B. and Xiao, J. (2006), "Influence of geometrical distribution of rock joints on deformational behavior of underground opening", Tunn. Undergr. Space Technol., 21(5), 485-491. https://doi.org/10.1016/j.tust.2005.10.004
  15. Jing, L. (2003), "A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering", Int. J. Rock Mech. Min. Sci., 40(3), 283-353. https://doi.org/10.1016/S1365-1609(03)00013-3
  16. Nikadat, N. (2014), "Investigating the effect of geometrical properties of discontinuity on stress distribution around underground opening using BEM and FEM", M.Sc. Thesis; Department of Mine Exploitation Engineering, Faculty of Mining and Metallurgy, Yazd, Iran. [In Persian]
  17. Nikadat, N., Fatehi Marji, M. and Abdollahipour, A. (2015), "Numerical modelling of stress analysis around rectangular tunnels with large discontinuities (fault) by a hybridized indirect BEM", J. Cent. South Univ., 22(11), 4291-4299. https://doi.org/10.1007/s11771-015-2977-9
  18. Mussavi, A., Fatehi Marji, M. and Lazemi, H. (2014), "Analysis of stresses and displacements around circular tunnel using indirect boundary element method", Proceedings of the 1st Iranian Conference of Geotechnical Engineering, Ardabil, Iran, October. [In Persian]
  19. Palassi, M. and Asadollahi, P. (2007), "Tunnel design using continuum and discontinuum approaches and the effect of joint orientation on the design", Electron. J. Geotech. Eng.
  20. Ritz, E., Mutlu, O. and Pollard, D.D. (2012), "Integrating complementarity into the 2D displacement discontinuity boundary element method to model faults and fractures with frictional contact properties", Comput. Geosci., 45, 304-312. https://doi.org/10.1016/j.cageo.2011.11.017
  21. Salamon, M.D.G. (1968), "Two-dimensional treatment of problems arising from mining tabular deposits in isotropic or transversely isotropic ground", Int. J. Rock Mech. Min. Sci., 5(2), 159-185. https://doi.org/10.1016/0148-9062(68)90032-6
  22. Shou, K. (2006), "Boundary element analysis of tunnelling through a weak zone", J. Geoeng., 1(1), 25-28.
  23. Song, J., Lee, C. and Seto, M. (2001), "Stability analysis of rock blocks around a tunnel using a statistical joint modeling technique", Tunn. Undergr. Space Technol., 16(4), 341-351. https://doi.org/10.1016/S0886-7798(01)00063-3
  24. Yeung, M.R. and Leong, L.L. (1997), "Effects of joint attributes on tunnel stability", Int. J. Rock Mech. Mining Sci., 34(3-4), 348.e1-348.e18. https://doi.org/10.1016/S1365-1609(97)00286-4

Cited by

  1. Optimization study on roof break direction of gob-side entry retaining by roof break and filling in thick-layer soft rock layer vol.13, pp.2, 2017, https://doi.org/10.12989/gae.2017.13.2.195
  2. The effect of radial cracks on tunnel stability vol.15, pp.2, 2016, https://doi.org/10.12989/gae.2018.15.2.721
  3. Study on deformation law of surrounding rock of super long and deep buried sandstone tunnel vol.16, pp.1, 2016, https://doi.org/10.12989/gae.2018.16.1.097
  4. Experimental research on dynamic response of red sandstone soil under impact loads vol.17, pp.4, 2016, https://doi.org/10.12989/gae.2019.17.4.393
  5. Numerical simulation of the effect of confining pressure and tunnel depth on the vertical settlement using particle flow code (with direct tensile strength calibration in PFC Modeling) vol.25, pp.4, 2020, https://doi.org/10.12989/sss.2020.25.4.433
  6. A new analytical-numerical solution to analyze a circular tunnel using 3D Hoek-Brown failure criterion vol.22, pp.1, 2016, https://doi.org/10.12989/gae.2020.22.1.011
  7. Waveform characterization and energy dissipation of stress wave in sandstone based on modified SHPB tests vol.22, pp.2, 2016, https://doi.org/10.12989/gae.2020.22.2.187
  8. Installation Time of an Initial Support for Tunnel Excavation upon the Safety Factors of Surrounding Rock vol.10, pp.16, 2016, https://doi.org/10.3390/app10165653
  9. Effect of underground stress transfer through artificial manipulation of particle size distribution vol.26, pp.2, 2016, https://doi.org/10.12989/gae.2021.26.2.205