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Rock Mechanics.pdf - Mining and Blasting

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SUPPORT AND REINFORCEMENT DESIGN<br />

of rock mass classification-based design rules <strong>and</strong> more comprehensive numerical<br />

analyses. Quite often in practice, these approaches are used in combination.<br />

<strong>Rock</strong>-support interaction calculations. These may be carried out using the methods<br />

discussed in section 11.3 <strong>and</strong> the calculation procedures set out in Appendix C.<br />

Although idealisations of the problem have to be made, <strong>and</strong> some factors <strong>and</strong> techniques<br />

cannot be specifically allowed for in the calculations, use of this approach<br />

permits the designer to develop a clear underst<strong>and</strong>ing of the relative merits of c<strong>and</strong>idate<br />

reinforcement systems in a particular application. In most cases, it will be<br />

necessary to carry out a series of calculations for a number of trial designs before an<br />

appropriate design can be selected for a field trial.<br />

Empirical design rules. A wide range of empirical support <strong>and</strong> reinforcement design<br />

rules have been developed over the last 50 years. These rules, which are based on<br />

precedent practice, generally apply to permanent underground excavations rather than<br />

to temporary mining excavations such as stopes. They are geometrically based <strong>and</strong><br />

do not account explicitly for the stress field induced around the excavation or for the<br />

quality of the rock mass. For these reasons, they must be used with extreme caution<br />

<strong>and</strong> only for making preliminary estimates which must be checked by making more<br />

complete assessments.<br />

The range of empirical design rules available has been reviewed by Stillborg (1994)<br />

<strong>and</strong> by Rachmad et al. (2002) in the context of their application to the support <strong>and</strong><br />

reinforcement of production drifts in a block caving mine. One of the most useful<br />

<strong>and</strong> long-lived set of empirical design rules is that developed by Lang (1961) for<br />

pattern rockbolting of permanent excavations during the construction of the Snowy<br />

Mountains Hydro-electric Scheme in Australia. Although Lang’s rules are described<br />

here as empirical, they were established on the basis of a range of laboratory, field<br />

<strong>and</strong> theoretical studies which have been reviewed by Brown (1999a). Lang (1961)<br />

gives the minimum bolt length, L, as the greatest of<br />

(a) twice the bolt spacing, s;<br />

(b) three times the width of critical <strong>and</strong> potentially unstable rock blocks defined by<br />

the average discontinuity spacing, b; or<br />

(c) 0.5B for spans of B < 6m, 0.25 B for spans of B = 18–30 m.<br />

For excavations higher than 18 m, the lengths of sidewall bolts should be at least<br />

one fifth of the wall height. The maximum bolt spacing, s, is given by the least of<br />

0.5L <strong>and</strong> 1.5b. When weld or chain mesh is used, a bolt spacing of more than 2 m<br />

makes attachment of the mesh difficult if not impossible.<br />

Figure 11.18 shows a preliminary layout of a rockbolting pattern for a horse-shoeshaped<br />

excavation in jointed rock, prepared using Lang’s rules. This figure also illustrates<br />

the basis on which Lang’s rules were developed, namely the establishment of a<br />

self-supporting compressed ring or arch around the excavation. If a highly compressible<br />

feature such as a fault or a clay seam crosses the compression ring, it is possible<br />

that the required compression will not be developed <strong>and</strong> that the reinforcement will<br />

be inadequate.<br />

<strong>Rock</strong> mass classification schemes. Schemes such as those due to Barton et al.<br />

(1974) <strong>and</strong> Bieniawski (1973, 1976) were developed as methods of estimating support<br />

333

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