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Bulletin of the Seismological Society of America; February 1969; v. 59; no. 1; p. 269-273
© 1969 Seismological Society of America
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A magnitude-energy relation for large earthquakes

CHI-YU KING1 and LEON KNOPOFF

INSTITUTE OF GEOPHYSICS AND PLANETARY PHYSICS UNIVERSITY OF CALIFORNIA, LOS ANGELES, CALIFORNIA

Abstract

A relation between the magnitude of a shallow earthquake and the rupture parameters is derived by using a result of dislocation theory and assumptions as suggested from model studies: the average of the pre- and post-shock stresses on a fault and the seismic efficiency are approximately constant. Comparing this relation with observations of the rupture parameters for a number of large shallow earthquakes, the magnitude-energy relation

Formula
is obtained. The value of {alpha} is estimated to be approximately 10.

Footnotes

1 Now at National Center for Earthquake Research, U. S. Geological Survey, 345 Middlefield Road, Menlo Park, California




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