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6       Methods of stress analysis





                                        6.1  Analytical methods for mine design

                                        Basic issues to be considered in the development of a mine layout include the location
                                        and design of the access and service openings, and the definition of stoping procedures
                                        fororeextraction.Theseissuesarenotmutuallyindependent.However,geomechanics
                                        questions concerning stoping activity may be more pervasive than those related to the
                                        siting and design of permanent openings, since the former persist throughout the life
                                        of the mine, and possibly after the completion of mining.
                                          The scope of the problems which arise in designing and planning the extraction
                                        of an orebody can be appreciated by considering the implementation of a method
                                        such as room-and-pillar mining. It is necessary to establish parameters such as stope
                                        dimensions, pillar dimensions, pillar layout, stope mining sequence, pillar extraction
                                        sequence, type and timing of placement of backfill, and the overall direction of mining
                                        advance. These geomechanics aspects of design and planning must also be integrated
                                        with other organisational functions in the planning process. It is not certain that this
                                        integration is always achieved, or that economic and geomechanics aspects of mine
                                        planninganddesignarealwayscompatible.However,itisclearthatsoundminingrock
                                        mechanics practice requires effective techniques for predicting rock mass response to
                                        mining activity. A particular need is for methods which allow parameter studies to be
                                        undertaken quickly and efficiently, so that a number of operationally feasible mining
                                        options can be evaluated for their geomechanical soundness. Alternatively, parameter
                                        studies may be used to identify and explore geomechanically appropriate mining
                                        strategies and layouts, which can then be used to develop detailed ore production
                                        schemes.
                                          The earliest attempts to develop a predictive capacity for application in mine design
                                        involved studies of physical models of mine structures. Their general objective was to
                                        identify conditions which might cause extensive failure in the prototype. The difficulty
                                        in this procedure is maintaining similitude in the material properties and the loads
                                        applied to model and prototype. These problems can be overcome by loading a model
                                        in a centrifuge. However, such facilities are expensive to construct and operate, and
                                        their use is more suited to basic research than to routine design applications. An
                                        additionalandmajordisadvantageofanyphysicalmodellingconcernstheexpenseand
                                        time to design, construct and test models which represent the prototype in sufficient
                                        detailtoresolvespecificminedesignquestions.Thegeneralconclusionisthatphysical
                                        models are inherently limited in their potential application as a predictive tool in mine
                                        design. Base friction modelling provides an exception to this statement. If it is possible
                                        to deal with a two-dimensional model of a mine structure, and to examine discrete
                                        sections of the complete mine layout, the procedure described by Bray and Goodman
                                        (1981) provides a useful and inexpensive method for design evaluation. The method
                                        is particularly appropriate where structural features exercise a dominant role in rock
                                        mass response.
                                          A conventional physical model of a structure yields little or no information on
                                        stresses and displacements in the interior of the medium. The earliest method for

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