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title of the thesis - Department of Geology - Queen's University

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(Cundall and Hart, 1992). This allows for <strong>the</strong> behaviour <strong>of</strong> <strong>the</strong> medium as well as <strong>the</strong><br />

discontinuities to be modelled. Like Phase 2 , unbalanced forces must be reduced for <strong>the</strong> model to<br />

reach equilibrium. In this study, rock mass and fault behaviour is represented by a Mohr-<br />

Coulomb constitutive model. Since <strong>the</strong> Creighton Deep is pervasively faulted, discontinuum<br />

models were used in preference to continuum models and are discussed in this chapter. A<br />

discussion <strong>of</strong> Phase 2 models can be found in Appendix D.<br />

4.3 Model Input Parameters<br />

Pre-mining stress and model geometry are <strong>the</strong> main factors that influence <strong>the</strong> elastic model<br />

response. In plastic models, this and rock strength are an integral part <strong>of</strong> <strong>the</strong> rock mass response.<br />

Accurate geometry, stresses and strength parameters are thus required for models. The<br />

determination <strong>of</strong> <strong>the</strong>se parameters is outlined in this section.<br />

4.3.1 Elastic and Plastic Models<br />

Both elastic and plastic models were developed for <strong>the</strong> 7400 Level. Elastic models have a linear<br />

response to stress such that deformation is recoverable (Fig. 4.2). Beyond <strong>the</strong> elastic limit, plastic<br />

models cannot accommodate additional stress. At this point, tractions are reduced until <strong>the</strong> rock<br />

mass responds by deforming in a non-recoverable manner (yields) and stress is transferred to<br />

surrounding rock (Duncan Fama, 1993; Falmagne, 2001, Wiles, 2006). This behaviour cannot be<br />

simulated using elastic models and thus elasto-plastic models are required. In such models, this<br />

behaviour is achieved through rock mass yielding or slip on faults, if <strong>the</strong>y are present. In <strong>the</strong><br />

numerical modeling packages, when stress within an element exceeds <strong>the</strong> failure criteria, <strong>the</strong><br />

element yields and stress is transferred to surrounding elements (Duncan Fama, 1993; Wiles,<br />

2006).<br />

80

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