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Study of the Energy of the Free Oscillations of the Earth

Kovach, Robert L. and Anderson, Don L. (1967) Study of the Energy of the Free Oscillations of the Earth. Journal of Geophysical Research, 72 (8). pp. 2155-2168. ISSN 0148-0227. http://resolver.caltech.edu/CaltechAUTHORS:20140507-140900962

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Abstract

The energies of the radial, torsional, and spheroidal free oscillations for a Gutenberg model earth were studied. Each mode of oscillation has a characteristic radial distribution of elastic and kinetic energy that fixes the parts of the earth that contribute most heavily in determining a particular resonant frequency. An examination of the partitioning of energy among compressional, shear, and gravitational energy as a function of mode number and depth immediately explains the persistence of the purely radial mode compared with the other normal modes of the earth. Only the first few spheroidal modes are sensitive to the density of the inner core; they are particularly sensitive to the density of the outer part of the core. The low-order spheroidal modes also exhibit a rapid rise of potential energy near the base of the mantle; this rise will permit improved estimates of the velocity to be obtained in this region, which is difficult to examine with body waves. The tabulated results allow estimates to be made of the previously neglected energy contained in the free oscillations excited by large earthquakes. An estimate of the energy in the low-order spheroidal oscillations excited by the great Alaskan shock suggests a value of 10^(23) ergs over the period range from 450 to 830 sec, implying that the energy density increases toward high frequencies if the total energy in the earthquake was of the order of 10^(24)–10^(25) ergs.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1029/JZ072i008p02155DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JZ072i008p02155/abstractPublisherArticle
Additional Information:© 1967 American Geophysical Union. Manuscript Received: 16 SEP 1966. Contribution 1379, Division of Geological Sciences, California Institute of Technology. This research was partially supported by the Advanced Research Projects Agency and was monitored by the Air Force Office of Scientific Research under contracts AF 49(638)-1687 (SU) and AF 49(638)-1337 (CIT).
Funders:
Funding AgencyGrant Number
Advanced Research Projects Agency (ARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)AF 49(638)-1687
Air Force Office of Scientific Research (AFOSR)AF 49(638)-1337
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Caltech Division of Geological Sciences1379
Record Number:CaltechAUTHORS:20140507-140900962
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140507-140900962
Official Citation:Kovach, R. L., and D. L. Anderson (1967), Study of the energy of the free oscillations of the Earth, J. Geophys. Res., 72(8), 2155–2168, doi:10.1029/JZ072i008p02155.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45580
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:07 May 2014 21:26
Last Modified:13 Feb 2019 18:04

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