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Rock Mechanics.pdf - Mining and Blasting

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Figure 17.12 (a) Time histories of<br />

ground motion from a coal-mine blast;<br />

(b) frequency spectra for the components<br />

of the ground waves (after Stagg<br />

<strong>and</strong> Engler, 1980).<br />

TRANSIENT GROUND MOTION<br />

in Table 17.1, due to Housner <strong>and</strong> Jennings (1982), illustrate the profusion of descriptions.<br />

The most commonly used parameters are local magnitude (M1), surface<br />

wave magnitude (Ms), body wave magnitude (Mb), <strong>and</strong> moment magnitude (Mw).<br />

Moment magnitude is applicable only to earthquakes <strong>and</strong> mine seismic events, where<br />

the source mechanism involves fault slip. It is observed that the local, surface wave<br />

<strong>and</strong> body wave magnitude parameters are derived from measurements of maximum<br />

Table 17.1 Magnitude parameters for seismic events (after Housner <strong>and</strong> Jennings, 1982).<br />

Magnitude Definition Application<br />

Local, ML Logarithm of peak amplitude (in Used to represent size of moderate<br />

microns) measured on a Wood– earthquake or rockburst. More closely<br />

Anderson seismograph at a distance related to damaging ground motion<br />

of 100 km from source, <strong>and</strong> on firm<br />

ground. In practice, corrections made<br />

to account for different instrument<br />

types, distances, site conditions.<br />

than other magnitude scales.<br />

Surface wave, Ms Logarithm of maximum amplitude of Used to represent size of large<br />

surface waves with 20 s period. earthquakes.<br />

Body wave, Mb Logarithm of maximum amplitude of Useful for assessing size of large,<br />

P waves with 1 s period. deep-focus earthquakes which do not<br />

generate strong surface waves.<br />

Moment, Mw Based on total elastic strain-energy Avoids difficulty associated with<br />

released by fault rupture, which is inability of surface wave magnitudes<br />

related to seismic moment Mo (Mo = to distinguish between two very large<br />

G · A · D, where G = modulus of events of different fault lengths<br />

rigidity of rock, A = area of fault<br />

rupture surface <strong>and</strong> D = average fault<br />

displacement).<br />

(saturation).<br />

535

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