An aftershock sequence follows Omori's law with (a pure number when

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Earth, Climate & Energy Physics · Seismology, tectonics and geodynamics

The Solid Earth, Ch Faults, the earthquake cycle and seismic hazard

Problem

An aftershock sequence follows Omori's law

\dot N = K_{\rm O}/(c_{\rm O}+t)^{p_{\rm O}}

with

K_{\rm O} = 30

(a pure number when

p_{\rm O}=1

, so that

\dot N

is per day),

c_{\rm O} = 0.2\,\mathrm{day}

and

p_{\rm O} = 1

, where

t

is time since the mainshock in days. Find the expected number of aftershocks occurring between

t = 1\,\mathrm{day}

and

t = 10\,\mathrm{day}

after the mainshock.

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