Is. Sacks et Pa. Rydelek, EARTHQUAKE QUANTA AS AN EXPLANATION FOR OBSERVED MAGNITUDES AND STRESS DROPS, Bulletin of the Seismological Society of America, 85(3), 1995, pp. 808-813
The familiar linear relation (Gutenberg-Richter) between the logarithm
of the number of earthquakes and their magnitude is commonly ascribed
to the distribution (fractal) of fault sizes in a self-similar proces
s. We show that a concept of earthquake quanta whose failure is govern
ed by simple physics and suggested by observations explains not only t
he Gutenberg-Richter relation but also the relatively constant stress
drop for larger magnitude events. Results from computer simulation are
consistent with observations from detailed seismicity studies.