Analysis of Circular Reinforced Tunnels by Analytical Approach

This paper addresses the problem of quantifying the mechanical contribution of rockbolts installed systematically around tunnels (regularly spaced around the tunnel) excavated in rock masses. Assuming that the mechanical contribution of grouted rockbolts is that of increasing internal pressure within a broken rock mass, a new procedure for computation of ground response curves for a circular tunnel excavated in strain softening material and then reinforced with systematically active grouted rockbolts is presented. In this work, the equation of the ground response curve for a tunnel which has been reinforced with passive grouted rockbolts is also derived. The proposed model allows one to take into account the effect of the distance of the bolted section to the tunnel face, the effect of increasing rockbolts spacing, the influence of increasing pretension load in calculating of the ground response curve, and the effect of increasing the cross-section area of rockbolts. The results show that decreasing rockbolts spacing increases the support system stiffness rather than preloading of them.

[1]  E. T. Brown,et al.  PUTTING THE NATM INTO PERSPECTIVE , 1981 .

[2]  Bengt Stillborg,et al.  Professional users handbook for rock bolting , 1986 .

[3]  J D Smart,et al.  METHOD OF COMPUTING A ROCK REINFORCEMENT SYSTEM WHICH IS STRUCTURALLY EQUIVALENT TO AN INTERNAL SUPPORT SYSTEM , 1975 .

[4]  A. Fahimifar,et al.  A theoretical approach for analysis of the interaction between grouted rockbolts and rock masses , 2005 .

[5]  Yujing Jiang,et al.  An analytical model to predict axial load in grouted rock bolt for soft rock tunnelling , 2004 .

[6]  C. Carranza-Torres,et al.  Analytical and Numerical Study of the Mechanics of Rockbolt Reinforcement around Tunnels in Rock Masses , 2009 .

[7]  Samir Maghous,et al.  A numerical approach for design of bolt-supported tunnels regarded as homogenized structures , 2009 .

[8]  Daniele Peila,et al.  RADIAL PASSIVE ROCKBOLTING IN TUNNELLING DESIGN WITH A NEW CONVERGENCE-CONFINEMENT MODEL , 1996 .

[9]  Hongwei Huang,et al.  Reinforcement mechanics of passive bolts in conventional tunnelling , 2007 .

[10]  E. T. Brown,et al.  Underground excavations in rock , 1980 .

[11]  Christopher R. Windsor,et al.  16 – Rock Reinforcement – Technology, Testing, Design and Evaluation , 1993 .

[12]  Håkan Stille,et al.  Support of weak rock with grouted bolts and shotcrete , 1989 .

[13]  Pierpaolo Oreste,et al.  Elasto‐plastic analytical model for the design of grouted bolts in a Hoek–Brown medium , 2010 .

[14]  Buddhima Indraratna,et al.  Analytical model for the design of grouted rock bolts , 1990 .

[15]  Tetsuro Esaki,et al.  A rock bolt and rock mass interaction model , 2004 .

[16]  Ing.D. Peila,et al.  Axisymmetric analysis of ground reinforcing in tunnelling design , 1995 .

[17]  C. Fairhurst,et al.  The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion , 1999 .

[18]  Howard K. Shmuck Theory And Practice Of Rock Bolting , 1957 .

[19]  Bengt Stillborg,et al.  Analytical models for rock bolts , 1999 .

[20]  A. Bobet,et al.  Tunnel reinforcement with rockbolts , 2011 .

[21]  Z. T. Bieniawski,et al.  Engineering classification of jointed rock masses , 1973 .

[22]  Ömer Aydan,et al.  The stabilisation of rock engineering structures by rockbolts , 1989 .

[23]  Nick Barton,et al.  Engineering classification of rock masses for the design of tunnel support , 1974 .

[24]  F. Varas,et al.  Ground response curves for rock masses exhibiting strain‐softening behaviour , 2003 .

[25]  Evert Hoek,et al.  Practical estimates of rock mass strength , 1997 .

[26]  Buddhima Indraratna,et al.  Design for grouted rock bolts based on the convergence control method , 1990 .

[27]  Z. T. Bieniawski,et al.  Engineering classification of jointed rock masses. discussions of paper by Z.T. Bieniawski, trans. s. afr. instn. civ. engrs. v15, n12, Dec. 1973, and authors reply : 4F, 4T, 39R. Trans. S. Afr. Instn. Civ. Engrs. V16, N7, July, 1974, P239–254 , 1974 .