Three-Dimensional Numerical Investigation of Tunnel Behavior Based on Different Constitutive Models and Associated Parametric Analysis in Rock Medium

Document Type : Research Papers

Authors

1 Ph.D. Candidate, Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran.

2 Professor, Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran.

Abstract

With the advancement of numerical modeling, predicting tunnels' behavior before construction has become possible for designers. Accurate prediction of tunnels' behavior in diverse environments requires the compatibility of numerical simulations with ground conditions. Although several constitutive models have been proposed for simulating ground characteristics, their appropriate utilization is crucial. In this study, the convergence of a tunnel is modeled, and the results are verified using actual convergence monitoring data. Then, a series of finite element simulations are conducted on a hypothetical TBM tunnel to demonstrate the difference in deformations, ground surface settlements, and stresses in the lining resulting from tunnel excavation under seven constitutive models in rock media. The models are categorized into four groups: rock-specified, soil-established, and general. Additionally, parametric studies are performed on specific gravity, Poisson's ratio, and dilation angle. The findings revealed that different constitutive models significantly influence numerical analysis results. Rock-specified models were found to be more sensitive to parameter variation in rock media than soil-established and general models. Moreover, changes in specific gravity and Poisson's ratio had a significant impact on the magnitude of surface settlements. Overall, the study highlights the importance of appropriately selecting constitutive models and accurately defining material parameters in numerical simulations to ensure reliable predictions of tunnel behavior.

Keywords


Aksoy, C.O. and Uyar, G.G. (2017). “Non-deformable support system in swelling and squeezing rocks”, Rock Mechanics and Engineering, 4, 179-203.
Anato, N.J., Chen, J., Tang, A. and Assogba, O.C. (2021). “Numerical investigation of ground settlements induced by the construction of Nanjing WeiSanLu tunnel and parametric analysis”, Arabian Journal for Science and Engineering, 46(11), 11223-11239, https://doi.org/10.1007/s13369-021-05642-3
Asadollahpour, E., Rahmannejad, R., Asghari, A. and Abdollahipour, A. (2014). “Back analysis of closure parameters of Panet equation and Burger׳s model of Babolak water tunnel conveyance”, International Journal of Rock Mechanics and Mining Sciences, 68, 159-166, https://doi.org/10.1016/j.ijrmms.2014.02.017.
Audi, Y., Jullien, A., Dauvergne, M., Feraille, A. and Schwartzentruber, L.D.A. (2020). “Methodology and application for the environmental assessment of underground multimodal tunnels”, Transportation Geotechnics, 24, 100389, https://doi.org/10.1016/j.trgeo.2020.100389.
Bakker, K.J. (2003). “Structural design of linings for bored tunnels in soft ground”, Heron, 48(1), 33-64.
Beyabanaki, A.R. and Gall, V. (2017). “3D numerical parametric study of the influence of open-pit mining sequence on existing tunnels”, International Journal of Mining Science and Technology, 27(3), 459-466, https://doi.org/10.1016/j.ijmst.2017.03.018.
Bobet, A. (2001). “Analytical solutions for shallow tunnels in saturated ground”, Journal of Engineering Mechanics, 127(12), 1258-1266, https://doi.org/10.1061/(ASCE)0733-9399(2001)127:12(1258).
Cai, M., Kaiser, P.K., Tasaka, Y. and Minami, M. (2007). “Determination of residual strength parameters of jointed rock masses using the GSI system”, International Journal of Rock Mechanics and Mining Sciences, 44(2), 247-265, https://doi.org/10.1016/j.ijrmms.2006.07.005.
Carranza-Torres, C., Rysdahl, B. and Kasim, M. (2013). “On the elastic analysis of a circular lined tunnel considering the delayed installation of the support”, International Journal of Rock Mechanics and Mining Sciences, 61, 57-85, https://doi.org/10.1016/j.ijrmms.2013.01.010.
Chalajour, S. and Hataf, N. (2022). “The comparison of tunnel convergence from numerical analysis with monitoring sata based on different constitutive models in rock medium”, Civil Engineering Infrastructures Journal, 56(2), 301-319, https://doi.org/10.22059/CEIJ.2022.343391.1843.
Chen, S.L. and Lee, S.C. (2020). “An investigation on tunnel deformation behavior of expressway tunnels”, Geomechanics and Engineering, 21(2), 215-226, https://doi.org/10.12989/gae.2020.21.2.215.
Davis, R.O. and Selvadurai, A.P. (2005). Plasticity and geomechanics, Cambridge University Press.
Ding, L. and Liu, Y. (2018). “Study on deformation law of surrounding rock of super long and deep buried sandstone tunnel”, Geomechanics and Engineering, 16(1), 97-104, https://doi.org/10.12989/gae.2018.16.1.097.
Goodman, R.E. (1989). Introduction to rock mechanics, 2nd Edition, Wiley & Sons Ltd., New York.
He, M., Zhang, Z., Zheng, J., Chen, F. and Li, N. (2020). “A new perspective on the constant mi of the Hoek-Brown failure criterion and a new model for determining the residual strength of rock”, Rock Mechanics and Rock Engineering, 53, 3953-3967, https://doi.org/10.1007/s00603-020-02164-6.
Hejazi, Y., Dias, D. and Kastner, R. (2008). “Impact of constitutive models on the numerical analysis of underground constructions”, Acta Geotechnica, 3, 251-258. https://doi.org/10.1007/s11440-008-0056-1.
Hoek, E. and Brown, E.T. (1997). “Practical estimates of rock mass strength, International Journal of Rock Mechanics and Mining Sciences, 34(8), 1165-1186, https://doi.org/10.1016/S1365-1609(97)80069-X.
Hoek, E. and Brown, E.T. (2019). “The Hoek–Brown failure criterion and GSI-2018 edition”, Journal of Rock Mechanics and Geotechnical Engineering, 11(3), 445-463, https://doi.org/10.1016/j.jrmge.2018.08.001.
Hoek, E., Wood, D. and Shah, S. (1992). “A modified Hoek–Brown failure criterion for jointed rock masses” In: Rock Characterization: ISRM Symposium, Eurock'92, Chester, UK, (pp. 209-214), Thomas Telford Publishing.
Hoek, E., Kaiser, P.K. and Bawden, W.F. (1995). Support of underground excavation in hard rock, Rotterdam: AA Balkema.
Jallow, A., Ou, C.Y. and Lim, A. (2019). “Three-dimensional numerical study of long-term settlement induced in shield tunneling”, Tunneling and Underground Space Technology, 88, 221-236, https://doi.org/10.1016/j.tust.2019.02.021.
Jin, Y.F., Zhu, B.Q., Yin, Z.Y. and Zhang, D.M. (2019). “Three-dimensional numerical analysis of the interaction of two crossing tunnels in soft clay”, Underground Space, 4(4), 310-327, https://doi.org/10.1016/j.undsp.2019.04.002.
Lazemi, H.A. and Soleiman Dehkordi, M. (2019). “Estimation of the TBM penetration rate using the post-failure behavior of a rock mass and the equivalent thrust per cutter, A case study: The Amirkabir water transferring tunnel of Iran”, Bulletin of Engineering Geology and the Environment, 78(3), 1735-1746, https://doi.org/10.1007/s10064-017-1205-2.
Li, C., Hou, S., Liu, Y., Qin, P., Jin, F. and Yang, Q. (2020). “Analysis on the crown convergence deformation of surrounding rock for double-shield TBM tunnel based on advance borehole monitoring and inversion analysis”, Tunnelling and Underground Space Technology, 103, 103513, https://doi.org/10.1016/j.tust.2020.103513.
Li, G., Ma, F., Liu, G., Zhao, H. and Guo, J. (2019). “A strain-softening constitutive model of heterogeneous rock mass considering statistical damage and its application in numerical modeling of deep roadways”, Sustainability, 11(8), 2399. https://doi.org/10.3390/su11082399.
MIDAS Information Technology Co. (2018) Chapter 4: Mesh, In: Midas GTS NX User Manual, (pp. 145-146), Midas, South Korea.
Ng, C.W.W., Sun, H.S., Lei, G.H., Shi, J.W. and Mašín, D. (2015). “Ability of three different soil constitutive models to predict a tunnel’s response to basement excavation”, Canadian Geotechnical Journal, 52(11), 1685-1698, https://doi.org/10.1139/cgj-2014-0361.
Oettl, G., Stark, R.F. and Hofstetter, G. (1998). “A comparison of elastic-plastic soil models for 2D FE analyses of tunneling”, Computers and Geotechnics, 23(1-2), 19-38. https://doi.org/10.1016/S0266-352X(98)00015-9.
Park, K.H. (2004). “Elastic solution for tunneling-induced ground movements in clays”, International Journal of Geomechanics, 4(4), 310-318, https://doi.org/10.1061/(ASCE)1532-3641(2004)4:4(310).
Pinto, F. (1999). “Analytical methods to interpret ground deformations due to soft ground tunneling”, Doctoral Dissertation, Massachusetts Institute of Technology, USA.
Ranjbarnia, M., Zaheri, M. and Dias, D. (2020). “Three-dimensional finite difference analysis of shallow sprayed concrete tunnels crossing a reverse fault or a normal fault: A parametric study”, Frontiers of Structural and Civil Engineering, 14, 998-1011, https://doi.org/10.1007/s11709-020-0621-8.
Rocscience, RocLab Version 1.031. (2007). Rock mass strength analysis using the Hoek–Brown failure criterion, Rocscience, Toronto.
Rukhaiyar, S. and Samadhiya, N.K. (2016). “Analysis of tunnel considering Modified Mohr-Coulomb criteria”, In: Recent Advances in Rock Engineering (RARE 2016), (pp. 318-326), Atlantis Press, https://dx.doi.org/10.2991/rare-16.2016.51.
Rummel, F. and Fairhurst, C. (1970). “Determination of the post-failure behavior of brittle rock using a servo-controlled testing machine”, Rock Mechanics, 2, 189-204, https://doi.org/10.1007/BF01245574.
Russo, G., Kalamaras, G.S. and Grasso, P. (1998). “A discussion on the concepts of geomechanical classes behavior categories and technical classes for an underground project”, Gallerie e Grandi Opere Sotterranee, 54, 40-51.
Sarikhani Khorami, M. (2012). “Analysis of geomechanical parameters and in situ stress of rock mass in Isfahan-Shiraz railway tunnel using back analysis based on displacement monitoring”, M.Sc. Thesis, Isfahan University of Technology, Isfahan, Iran.
Shid Moosavi, S.S. and Rahai, A.R. (2018). “The performance of integral and semi-integral pre-tensioned concrete bridges under seismic loads in comparison with conventional bridges”, AUT Journal of Civil Engineering, 2(2), 219-226, 10.22060/ajce.2018.14338.5473.
Singh, B. and Goel, R.K. (1999). Rock mass classification: A practical approach in civil engineering, Elsevier, 267 p.
Sulem, J., Panet, M. and Guenot, A. (1987). “An analytical solution for time-dependent displacements in a circular tunnel”, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 24(3), 155-164, https://doi.org/10.1016/0148-9062(87)90522-5.
Sun, H., Liu, S., Zhong, R. and Du, L. (2020). “Cross-section deformation analysis and visualization of shield tunnel based on mobile tunnel monitoring system”, Sensors, 20(4), 1006.
Vitali, O.P., Celestino, T.B. and Bobet, A. (2018). “3D finite element modelling optimization for deep tunnels with material nonlinearity”, Underground Space, 3(2), 125-139, https://doi.org/10.1016/j.undsp.2017.11.002.
Wang, Z., Yao, W., Cai, Y., Xu, B., Fu, Y. and Wei, G. (2019). “Analysis of ground surface settlement induced by the construction of a large-diameter shallow-buried twin-tunnel in soft ground”, Tunnelling and Underground Space Technology, 83, 520-532, https://doi.org/10.1016/j.tust.2018.09.021.
Xing, Y., Kulatilake, P.H.S.W. and Sandbak, L.A. (2018). “Investigation of rock mass stability around the tunnels in an underground mine in USA using three-dimensional numerical modeling”, Rock Mechanics and Rock Engineering, 51, 579-597, https://doi.org/10.1007/s00603-017-1336-6.
Xue, Y., Zhou, B., Li, S., Qiu, D., Zhang, K. and Gong, H. (2021). “Deformation rule and mechanical characteristic analysis of subsea tunnel crossing weathered trough”, Tunnelling and Underground Space Technology, 114, 103989, https://doi.org/10.1016/j.tust.2021.103989.
Yang, H. and Xu, X. (2021). “Structure monitoring and deformation analysis of tunnel structure”, Composite Structures, 276, 114565, https://doi.org/10.1016/j.compstruct.2021.114565.
Yasitli, N.E. (2016). “Comparison of input parameters regarding rock mass in analytical solution and numerical modelling”, Journal of African Earth Sciences, 124, 497-504, https://doi.org/10.1016/j.jafrearsci.2016.08.010.
Yoo, C. (2016). “Effect of spatial characteristics of a weak zone on tunnel deformation behavior”, Geomechanics and Engineering, 11(1), 41-58, https://doi.org/10.12989/gae.2016.11.1.041.
Zhao, C., Lavasan, A.A., Barciaga, T., Kämper, C., Mark, P. and Schanz, T. (2017). “Prediction of tunnel lining forces and deformations using analytical and numerical solutions”, Tunnelling and Underground Space Technology, 64, 164-176, https://doi.org/10.1016/j.tust.2017.01.015.
Zheng, G., Du, Y., Cheng, X., Diao, Y., Deng, X. and Wang, F. (2017). “Characteristics and prediction methods for tunnel deformations induced by excavations”, Geomechanics and Engineering, 12(3), 361-397, https://doi.org/10.12989/gae.2017.12.3.361.