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ROCK–SUPPORT INTERACTION ANALYSIS




































              Figure 11.7  Rock support–interac-
              tion analysis for a 5.33 m radius tunnel
              in fair quality gneiss at a depth of 120
              m (after Hoek and Brown, 1980).

                                        shotcretemaybe placed close tothe facesoon after excavation,  i0 was takenas 25 mm.
                                        It is clear that this shotcrete layer has adequate strength and stiffness to stabilise
                                        tunnel displacements. Indeed, it may well be too stiff and develop unacceptably high
                                        compressive stresses within the shotcrete ring. Brittle fracture of a shotcrete lining
                                        such as this should be avoided. Wire mesh or fibre reinforcement could increase the
                                        tensile and shear strengths and the ductility of the shotcrete.
                                          Pattern rock bolting is another possible means of providing primary support for this
                                        tunnel. Line 4 in Figure 11.7 is the available support curve calculated for a rockbolt
                                        system using the following parameters: I = 3.0m, d = 0.025 m, E b = 207 GPa,
                                                        −1
                                        dQ = 0.143 m MN , T bf = 0.285 MN, s c = 1.5m, s   = 1.5 m and   i0 = 0.025 m.
                                        It appears that this pattern of rock bolting provides a satisfactory solution. The strength
                                        of the rock mass is highly mobilised, and the rock bolts are not excessively loaded
                                        except in the roof where an adequate load factor may not exist. It would be preferable,
                                        therefore, to increase the density of bolting in the roof and to decrease that in the side
                                        walls and the floor. It will also be necessary to use mesh or a thin layer of shotcrete,
                                        to prevent unravelling of blocks of rock from between the rock bolts.
                                          Line 5 illustrates the disastrous effect of delaying the installation of the rock bolts
                                        until excessive deformation of the rock mass has occurred. In this case, equilibrium
                                        of the rock in the roof and the support system cannot be reached and roof collapse
                                        will occur.
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