Abstract
Mathematical and computational aspects of a three-dimensional boundary element formulation designed specifically for application to mining rock mechanics problems are described. Stress analysis of mining geometries differs in many respects from equivalent analyses of civil or mechanical engineering. These differences are highlighted and the manner in which these differences are accomodated by the formulation is described. The formulation has been implemented into a program BEAP (Boundary Element Analysis Package). A test problem is presented and compared with other formulations. Design goals for the program include the following: ease of use, ability to run on personal computers, use of an iterative equation solver to reduce total CPU for large problems, use of single precision to store matrix coefficients thereby reducing disk storage requirements, limited application to multi-subregion problems and easy inter-facing to third party software for pre- and post-processing. Finally, a practical mining example is presented. It is concluded that the formulation is very well suited to analysis of mining rock mechanics problems, providing a sound basis for future developments in this field.
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