A statistical analysis of the generation of microseisms
Article first published online: 14 JUN 2010
Copyright © 1963 by the American Geophysical Union.
Reviews of Geophysics
Volume 1, Issue 2, pages 177–210, May 1963
How to Cite
1963), A statistical analysis of the generation of microseisms, Rev. Geophys., 1(2), 177–210, doi:10.1029/RG001i002p00177.(
- Issue published online: 14 JUN 2010
- Article first published online: 14 JUN 2010
- Manuscript Received: 15 JAN 1963
Theories of the origin of microseisms have in the past generally been expressed in terms of the Green functions of the elastic systems considered. An alternative approach based on spectral transfer functions and the local energy-balance equation of the seismic field is proposed. The method enables a rigorous analysis of the statistical aspects of the problem, which could be treated only approximately and under restrictive conditions in terms of the far-field representations used previously. Three suggested origins of microseisms are considered: (1) the action of ocean waves on coasts, originally proposed by Wiechert; (2) atmospheric pressure fluctuations, as suggested by Gherzi, Scholte, and others; and (3) nonlinear interactions between ocean waves as proposed by Longuet-Higgins. In all cases appreciable microseisms are generated only by Fourier components of the random exciting fields that have the same phase velocities as free modes of the elastic system. The effect of pressure fluctuations associated with turbulence in the atmosphere is found to be negligible. The theory for Wiechert's and Longuet-Higgins' mechanisms is in good agreement with recent measurements by Haubrich et al.