Total Energy and Energy Spectral Density of Elastic Wave Radiation from Propagating Faults: Part II. a Statistical Source Model
- Ari Ben-Menahem
Published Online: 21 MAR 2013
Copyright 1990 by the American Geophysical Union.
Vincit Veritas: A Portrait of the Life and Work of Norman Abraham Haskell, 1905-1970
How to Cite
Haskell, N.A. (1990) Total Energy and Energy Spectral Density of Elastic Wave Radiation from Propagating Faults: Part II. a Statistical Source Model, in Vincit Veritas: A Portrait of the Life and Work of Norman Abraham Haskell, 1905-1970 (ed A. Ben-Menahem), American Geophysical Union, Washington, D. C.. doi: 10.1029/SP030p0180
- Published Online: 21 MAR 2013
- Published Print: 1 JAN 1990
Print ISBN: 9780875907628
Online ISBN: 9781118667712
- Haskell, Norman Abraham, 1905–1970;
- Geophysicists—United States—Biography
Previously derived expressions for the total energy and energy spectral density of elastic waves radiated by a propagating fault are rewritten in terms of a spacio-temporal autocorrelation of the acceleration of relative displacement over the fault plane. This is interpreted in a statistical sense as the average autocorrelation over an ensemble of earthquakes. An explicit form of autocorrelation function is assumed, depending upon two parameters, a correlation length, and a correlation time, and the total energy and energy spectral density are derived in terms of these parameters. By using scaling laws due to Båth and Duda for earthquake volume and radiation efficiency as functions of magnitude, the statistical parameters may also be related to magnitude.