Numerical method for modelling large displacements of jointed rocks. II. Modelling of rock bolts and groundwater and applications

1993 ◽  
Vol 30 (1) ◽  
pp. 96-108 ◽  
Author(s):  
Baolin Wang ◽  
Vinod K. Garga

A numerical method called the block-spring model for analyzing heavily jointed rocks is presented in this paper. This model permits the assessment of stability of both underground and surface excavation in jointed rock mass and is capable of simulating large displacements. The model simulates the jointed rock mass by an assemblage of rigid blocks interacting through contacts. By relating the contact forces to the relative displacements between the blocks and directly applying the equilibrium equations, the displacements of the blocks and subsequently the contact forces can be determined. An iteration procedure is applied to describe the progressive failure along the joints. The proposed model can identify unstable blocks by considering the rearrangement of the blocks. A computer program has been written in FORTRAN based on the procedures of the proposed model. Some simple examples are presented in the present paper to demonstrate the capability of the proposed model. Advanced features of the model including simulation of rock bolts and groundwater are presented in a companion paper, in which two case histories have been analyzed in detail with the proposed model. Key words : jointed rocks, stress, deformation, analysis, numerical model, excavation, anchors, groundwater.


1993 ◽  
Vol 30 (1) ◽  
pp. 109-123 ◽  
Author(s):  
Vinod K. Garga ◽  
Baolin Wang

The present paper is an extension of the companion paper in which the formulation of a new numerical model called the block-spring model for jointed rock mass was presented. The work reported herein presents further investigations of the model which include the simulation of rock bolts for ground support and groundwater pressure. The rock bolts are modelled by a series of one-dimensional elements interacting with the rock blocks through nodal points. The model can be used to analyze both the end-anchored and the fully grouted rock bolts, either pretensioned or untensioned. The model also evaluates the water pressures imposed on the surfaces of the rock blocks which are then introduced into the equilibrium equations of the blocks. Several applications of the proposed model are presented including detailed analyses of two case histories. The numerical results have been compared with the field instrumentation data. Good agreement has been observed between the results of the proposed model and the field measurements in both cases. It is demonstrated that the proposed model can be used for the analysis of excavations in jointed rocks in practice. Key words : jointed rocks, stress, deformation, analysis, numerical model, excavation, anchors, groundwater.


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