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Bulletin of the Seismological Society of America; October 1971; v. 61; no. 5; p. 1321-1326
© 1971 Seismological Society of America
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Elastic multipole theory and seismic moment

M. J. RANDALL

SEISMOLOGICAL OBSERVATORY, GEOPHYSICS DIVISION, DEPARTMENT OF SCIENTIFIC AND INDUSTRIAL RESEARCH, WELLINGTON, New Zealand

Abstract

Relationships between dynamic and static elastic multipoles derived from a general solution of the elastic-wave equation allow the direct application of results from elastostatic theory to problems in earthquake mechanism. For any theoretical model, the impulse of wave displacement (with can easily be found from long-period seismograms) can be simply derived from the far-field static dilation.

Application to a generalized dislocation model shows that seismic moment is properly a tensor.




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