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Rock Mechanics.pdf - Mining and Blasting

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MINING-INDUCED SURFACE SUBSIDENCE<br />

the subsidence profiles shown in Figure 16.22 that the slope of the ground surface<br />

<strong>and</strong> the induced strains must vary from point to point across the width of the panel.<br />

Since differential vertical movement, horizontal compressive or tensile strain, tilt <strong>and</strong><br />

curvature can all adversely affect surface structures <strong>and</strong> utilities, in many cases more<br />

severely than the subsidence itself, it is essential that means be developed of predicting<br />

the values of these variables produced by trough subsidence.<br />

The primary parameters of interest in this regard are:<br />

the maximum subsidence, Smax;<br />

the maximum ground tilt, Gmax;<br />

the maximum tensile <strong>and</strong> compressive ground strains, +Emax <strong>and</strong> −Emax; <strong>and</strong><br />

the minimum radius of ground curvature, Rmin.<br />

16.5.2 Empirical prediction methods<br />

For many years, the most comprehensive <strong>and</strong> widely used method of subsidence<br />

prediction was the empirical method developed by the then National Coal Board<br />

(NCB) in the United Kingdom <strong>and</strong> described in the Subsidence Engineers’ H<strong>and</strong>book<br />

(National Coal Board, 1975). The NCB approach used a series of graphs relating the<br />

major variables defined in Figure 16.22 <strong>and</strong> section 16.5.1. It was found that strain<br />

<strong>and</strong> tilt were proportional to the maximum subsidence <strong>and</strong> inversely proportional to<br />

the cover depth resulting in the following expressions:<br />

+Emax = 1000 × K1 × Smax/h<br />

−Emax = 1000 × K2 × Smax/h<br />

Gmax = 1000 × K3 × Smax/h<br />

where K1, K2 <strong>and</strong> K3 are constants of proportionality.<br />

The curvature, 1/R, is directly proportional to strain <strong>and</strong> indirectly proportional to<br />

the depth of mining so that<br />

1/Rmin = K4 × Emax/h<br />

where K4 is another constant of proportionality.<br />

The NCB method was widely used in the UK where the maximum subsidence was<br />

said to have been predicted to within 10% in the great majority of cases. The fact that<br />

the method gave such satisfactory predictions of subsidence profiles in collieries over<br />

a wide geographical area was probably due to the fact that the nature <strong>and</strong> properties<br />

of the Carboniferous strata involved were similar over the entire mining area. The<br />

method did not account for the influence of major geological features such as faults<br />

intersecting the panel or the deforming strata. Because of differences in geology <strong>and</strong><br />

rock mass properties, <strong>and</strong> the generally site-specific nature of empirical correlations,<br />

attempts to apply the NCB correlations to longwall coal panels in other parts of the<br />

world met with variable success (e.g. Hood et al., 1983, Galvin, 1988, Alejano et al.,<br />

1999). However, many of the concepts developed by the NCB have been found to<br />

be applicable elsewhere <strong>and</strong> have been used in other locally developed empirical<br />

methods (e.g. Holla <strong>and</strong> Barclay, 2000).<br />

508

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