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principles and applications of microearthquake networks

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3.3. Event Detection 59<br />

Zk is a recursive approximation to a 250 point moving time average <strong>of</strong> wk.<br />

Zk is intended to approximate the long-term average P(t) as given in Eq.<br />

(3.2) with T~ = 5 sec. The recursive approximations are used to save<br />

computer time <strong>and</strong> storage space.<br />

The parameters (k <strong>and</strong> 7)k in Fig. 16 are used to detect <strong>and</strong> to confirm the<br />

onset <strong>of</strong> an earthquake, respectively. These parameters are compared<br />

with the predetermined threshold levels as shown by dashed lines in Fig.<br />

16. When the current value <strong>of</strong> tk exceeds its threshold level, then the time<br />

0.0<br />

TIME-SECONDS<br />

Fig. 16. Variation <strong>of</strong> the parameters as a function <strong>of</strong> time calculated in the real-time<br />

detection process described by Stewart et al. (1971). See text for explanation. (a) Example<br />

with long-period noise preceding the earthquake. (b) Example with a small transient preceding<br />

the earthquake.<br />

3

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