Dynamic and Static Analysis of Circular Tunnel with Special Focus on the Hydro-Mechanical Coupling Behavior of Soil

Document Type : Research

Authors

1 PhD Student of Rock Mechanics, Faculty of Mining, Petroleum & Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran.

2 Associate Professor, Faculty of Mining, Petroleum & Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran.

Abstract

One of the most important parts of a tunnel are the supporting systems, which must be sufficiently resistant to loads during the life of the structure. Critical loads on the tunnel support system are ground and water loads, that are usually calculated separately by analytical methods.These loads have  coupled hydro-mechanical behavior in the materials around the tunnel and their effects on the structure should be considered as a connection phenomenon. Therefore, in this study, using two-dimensional finite difference method in FLAC software, a static design of the tunnel was performed, in which  the water was initially considered only as the pore pressure, and subsequently, static analysis was carried out completely in the form of coupling. One of the twin tunnels of Tabriz Metro Line 1 was used as a case study. For these two states, axial force and bending moment were evaluated and compared. In order to investigate the tunnel behavior under dynamic load, the real Duzce earthquake at the MCE level was selected. The axial force and bending moment in pure dynamic state and hydrodynamic coupling using Byron behavioral model were evaluated. The results showed that in the static coupled design, higher axial force of about 27% and lower bending moment of about 36% were obtained compared to the no-coupled mode. Also in the dynamic coupled design, more axial force and lower bending moment,  about 25% and 66%  respectively, were seen. Therefore, it can be concluded that it is best to use this state of structural loading for the detailed design of reinforced concrete structures.

Keywords


1. Daito, K. and K. Ueshita. Prediction of tunneling effects on groundwater condition by the water balance method. In Proc., 6th Int. Conf. on Numerical Methods in Geomechanics. 1988. Innsbruck.
2. Ueshita, K., T. Sato, and K. Daito. Prediction of tunneling effect on groundwater condition. In International conference on numerical methods in geomechanics. 1985.
3. Schweiger, H., R. Pottler, and H. Steiner, Effect of seepage forces on the shotcrete lining of a large undersea cavern. Computer Method and Advances in Geomechanics, Rotterdam, 1991: p. 1503-1508.
4. Gunn, M. and R. Taylor, Discussion on Atkinson and Mair (1983). Géotechnique, 1984. 35(1): p. 73-75. [DOI:10.1680/geot.1985.35.1.73]
5. Shin, Y.-J., et al., The ground reaction curve of underwater tunnels considering seepage forces. Tunnelling and Underground Space Technology, 2010. 25(4): p. 315-324. [DOI:10.1016/j.tust.2010.01.005]
6. Shin, Y.-J., et al., Interaction between tunnel supports and ground convergence-Consideration of seepage forces. International Journal of Rock Mechanics and Mining Sciences, 2011. 48(3): p. 394-405. [DOI:10.1016/j.ijrmms.2011.01.003]
7. Wang, M. and G. Wang, A stress-displacement solution for a pressure tunnel with impermeable liner in elastic porous media. Latin American Journal of Solids and Structures, 2012. 9(1): p. 95-110. [DOI:10.1590/S1679-78252012000100005]
8. Preisig, G., F. Joel Cornaton, and P. Perrochet, Regional Flow Simulation in Fractured Aquifers Using Stress‐Dependent Parameters. Ground water, 2012. 50(3): p. 376-385. [DOI:10.1111/j.1745-6584.2011.00853.x]
9. Prassetyo, S.H. and M. Gutierrez, Effect of transient coupled hydro-mechanical response on the longitudinal displacement profile of deep tunnels in saturated ground. Tunnelling and Underground Space Technology, 2018. 75: p. 11-20. [DOI:10.1016/j.tust.2018.02.003]
10. Shin, J., T. Addenbrooke, and D. Potts, A numerical study of the effect of groundwater movement on long-term tunnel behaviour. Geotechnique, 2002. 52(6): p. 391-403. [DOI:10.1680/geot.2002.52.6.391]
11. Yoo, C. and S. Kim, Soil and lining responses during tunnelling in water-bearing permeable soil-3D stress-pore pressure coupled analysis. 2006.
12. Hashash, Y.M., et al., Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures. Tunnelling and Underground Space Technology, 2005. 20(5): p. 435-441. [DOI:10.1016/j.tust.2005.02.004]
13. Park, K.-H., et al., Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions: A revisit. Tunnelling and Underground Space Technology, 2009. 24(2): p. 231-235. [DOI:10.1016/j.tust.2008.07.001]
14. Corigliano, M., et al., Seismic analysis of deep tunnels in near fault conditions: a case study in Southern Italy. Bulletin of Earthquake Engineering, 2011. 9(4): p. 975-995. [DOI:10.1007/s10518-011-9249-3]
15. Sedarat, H., et al., Contact interface in seismic analysis of circular tunnels. Tunnelling and Underground Space Technology, 2009. 24(4): p. 482-490. [DOI:10.1016/j.tust.2008.11.002]
16. Bilotta, E., et al. Seismic analyses of shallow tunnels by dynamic centrifuge tests and finite elements. in Proceedings of 17th international conference on soil mechanics and geotechnical engineering, Alexandria, Egypt. Balkema. 2009.
17. Chen, S.-L., M.-W. Gui, and M.-C. Yang, Applicability of the principle of superposition in estimating ground surface settlement of twin-and quadruple-tube tunnels. Tunnelling and underground space technology, 2012. 28: p. 135-149. [DOI:10.1016/j.tust.2011.10.005]
18. Salemi, A., R. Mikaeil, and S.S. Haghshenas, Integration of finite difference method and genetic algorithm to seismic analysis of circular shallow tunnels (Case study: Tabriz urban railway tunnels). KSCE Journal of Civil Engineering, 2018. 22(5): p. 1978-1990. [DOI:10.1007/s12205-017-2039-y]
19. Kontoe, S., et al., Case study on seismic tunnel response. Canadian Geotechnical Journal, 2008. 45(12): p. 1743-1764. [DOI:10.1139/T08-087]
20. Cao, X. and S. Yan, Numerical analysis for earthquake dynamic responses of tunnel with different lining rigidity based on finite element method. Information Technology Journal, 2013. 12(13): p. 2599-2604. [DOI:10.3923/itj.2013.2599.2604]
21. Do, N., D. Dias, and P. Oreste, Numerical analysis of segmental tunnel lining under seismic loads, 2015. [DOI:10.1016/j.soildyn.2015.01.015]
22. Liu, H. and E. Song, Seismic response of large underground structures in liquefiable soils subjected to horizontal and vertical earthquake excitations. Computers and Geotechnics, 2005. 32(4): p. 223-244. [DOI:10.1016/j.compgeo.2005.02.002]
23. Hashash, Y.M., W.S. Tseng, and A. Krimotat, Seismic soil-structure interaction analysis for immersed tube tunnels retrofit. Geotechnical Special Publication, 1998(75 II): p. 1380-1391.
24. Azadi, M. and S.M.M. Hosseini, Analyses of the effect of seismic behavior of shallow tunnels in liquefiable grounds. Tunnelling and underground space technology, 2010. 25(5): p. 543-552. [DOI:10.1016/j.tust.2010.03.003]
25. Unutmaz, B., 3D liquefaction assessment of soils surrounding circular tunnels. Tunnelling and underground space technology, 2014. 40: p. 85-94. [DOI:10.1016/j.tust.2013.09.006]
26. Chian, S.C., K. Tokimatsu, and S.P.G. Madabhushi, Soil liquefaction-induced uplift of underground structures: physical and numerical modeling. Journal of Geotechnical and Geoenvironmental Engineering, 2014. 140(10): p. 04014057. [DOI:10.1061/(ASCE)GT.1943-5606.0001159]
27. Zheng, G., et al., Evaluation of the earthquake induced uplift displacement of tunnels using multivariate adaptive regression splines. Computers and Geotechnics, 2019. 113: p. 103099. [DOI:10.1016/j.compgeo.2019.103099]
28. Osorio, J.G., H.-Y. CHE, and L.W. Teufel. Numerical simulation of the impact of flow-induced geomechanical response on the productivitv of stress-sensitive reservoirs. in SPE symposium on reservoir simulation. 1999. [DOI:10.2118/51929-MS]
29. Fredrich, J., et al. Three-dimensional geomechanical simulation of reservoir compaction and implications for well failures in the Belridge Diatomite. in SPE Annual Technical Conference and Exhibition. 1996. Society of Petroleum Engineers. [DOI:10.2118/36698-MS]
30. Minkoff, S.E., et al., Coupled fluid flow and geomechanical deformation modeling. Journal of Petroleum Science and Engineering, 2003. 38(1): p. 37-56. [DOI:10.1016/S0920-4105(03)00021-4]
31. ITASCA, Manual, FLAC User'S, 2002.
32. Reynolds, O., Experiments showing dilatancy, a property of granular material, possibly connected with gravitation. Proc. R. Inst. GB, 1886. 11(354363): p. 12.
33. King, F.H., Observations and Experiments on the Fluctuations in the Level and Rate of Movement of Ground-water on the Wisconsin Agricultural Experiment Station Farm and at Whitewater, Wisconsin. 1892: Weather Bureau.
34. Neuzil, C., Hydromechanical coupling in geologic processes. Hydrogeology Journal, 2003. 11(1): p. 41-83. [DOI:10.1007/s10040-002-0230-8]
35. Lee, K., et al., An analytical solution for a jointed shield‐driven tunnel lining. International Journal for Numerical and Analytical Methods in Geomechanics, 2001. 25(4): p. 365-390. [DOI:10.1002/nag.134]
36. Kontogianni, V.A. and S.C. Stiros, Earthquakes and seismic faulting: effects on tunnels. Turkish Journal of Earth Sciences, 2003. 12(1): p. 153-156.