Investigation of time-dependent effects on the convergence of circular tunnels

Document Type : Research Article

Authors

Dept. of Mining Engineering, Technical College, University of Tehran, Tehran, Iran

Abstract

Summary
A numerical solution based on the finite difference method is presented in this study which employs time-dependent parameters of surrounding rock mass of a circular tunnel. Applying the solution, the effect of time on induced stress and displacement is investigated. Moreover, the impact of support installation under time-dependent deformation of the surrounding mass is studied for various plastic behaviors.
Introduction
Nowadays, due to the development of urban areas, huge investments are made in creating infrastructures and their maintenance. Consequently, there is an increasing demand for the construction of underground structures such as tunnels. One of the most important issues in designing tunnels as an underground construction is its stability. On the contrary, the evaluation of induced stress and deformation fields is the most crucial matter after underground excavation. This excavation could change the initial stress components and produce an induced stress field causing further displacements around the underground structure. This evolution in stress and deformation regime may not occur instantly, instead it might develop over long periods of time. A ground reaction curve is a beneficial approach to describe these deformations based on the convergence-confinement method. For simplicity, it is assumed in this method that rock mass mechanical properties are isotopic, and in situ hydrostatic stress field exists making the problem as an axisymmetric problem. In the majority of the analytical solutions for the ground reaction curve, the rock mass constitutive model is assumed as elastic perfectly plastic and elastic brittle plastic which simplifies the solving process. Moreover, in some other solutions, strain softening constitutive model is implemented. Nonetheless, considering all this research, the actual rock mass behavior which is affected by time is neglected...

Keywords

Main Subjects


[1]                 Brown E, Hoek E. 1980 Underground excavations in rock. CRC Press.
[2]                 Reed M. 1986 Stresses and displacements around a cylindrical cavity in soft rock. IMA Journal of Applied Mathematics, 36(3), 223-45.
[3]                 Sharan S. 2003 Elastic–brittle–plastic analysis of circular openings in Hoek–Brown media. International Journal of Rock Mechanics and Mining Sciences, 40(6), 817-24.
[4]                 Yu H-S. 2000 Cavity expansion methods in geomechanics. Springer Science & Business Media.
[5]                 Carranza-Torres C, Fairhurst C. 1999 The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek–Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 36(6), 777-809.
[6]                 Alonso E, Alejano LR, Varas F, Fdez-Manin G, Carranza-Torres C. 2003 Ground response curves for rock masses exhibiting strain-softening behaviour. International Journal for Numerical and Analytical Methods in Geomechanics, 27(13), 1153-85.
[7]                 Sulem J, Panet M, Guenot A, editors. 1987 An analytical solution for time-dependent displacements in a circular tunnel. International journal of rock mechanics and mining sciences & geomechanics abstracts, Elsevier.
[8]                 Cristescu N. 1988 Viscoplastic creep of rocks around a lined tunnel. International journal of plasticity, 4(4), 393-412.
[9]                 Critescu N. 1985 Viscoplastic creep of rocks around horizontal tunnels. International Journal of Rock Mechanics, 22(6).
[10]              Kargar AR. 2019 An analytical solution for circular tunnels excavated in rock masses exhibiting viscous elastic-plastic behavior. International Journal of Rock Mechanics and Mining Sciences, 124, 104128.
[11]              Mase GE, Mase G. 1970 Continuum mechanics. McGraw-Hill New York.
[12]              Jaeger JC, Cook NG, Zimmerman R. 2009 Fundamentals of rock mechanics. John Wiley & Sons.
[13]              Lee Y-K, Pietruszczak S. 2008 A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass. Tunnelling and Underground Space Technology, 23(5), 588-99.
[14]              Singh RN, Ghose AK. 2006 Engineered rock structures in mining and civil construction. CRC Press.
[15]              Itasca Consulting Group, Inc. (2019) FLAC — Fast Lagrangian Analysis of Continua, Ver. 8.00. Minneapolis: Itasca.
[16]              Paraskevopoulou C, Diederichs M. 2018 Analysis of time-dependent deformation in tunnels using the Convergence-Confinement Method. Tunnelling and Underground Space Technology, 71, 62-80.
[17]              Park K-H, Tontavanich B, Lee J-G. 2008 A simple procedure for ground response curve of circular tunnel in elastic-strain softening rock masses. Tunnelling and Underground Space Technology, 23(2), 151-9.
[18]              Zhang H, Wang Z, Zheng Y, Duan P, Ding S. 2012 Study on tri-axial creep experiment and constitutive relation of different rock salt. Safety science, 50(4), 801-5.