Total Energy and Energy Spectral Density of Elastic Wave Radiation from Propagating Faults: Part II. a Statistical Source Model

  1. Ari Ben-Menahem
  1. N.A. Haskell

Published Online: 21 MAR 2013

DOI: 10.1029/SP030p0180

Vincit Veritas: A Portrait of the Life and Work of Norman Abraham Haskell, 1905-1970

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

Author Information

  1. Air Force Cambridge Research Laboratories, L. G. Hanscom Field Bedford, Massachusetts

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1990

ISBN Information

Print ISBN: 9780875907628

Online ISBN: 9781118667712

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Keywords:

  • Haskell, Norman Abraham, 1905–1970;
  • Geophysics;
  • Geophysicists—United States—Biography

Summary

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.