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Bulletin of the Seismological Society of America Email Content Delivery
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Bulletin of the Seismological Society of America; April 1977; v. 67; no. 2; p. 383-392
© 1977 Seismological Society of America
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A method for the separation of interfering surface waves and the computation of their dispersion

PAUL MICHAELS

AIR FORCE CAMBRIDGE RESEARCH LABORATORIES WAVE PROPAGATION BRANCH, HANSCOM AIR FORCE BASE, MASSACHUSETTS 01731

Abstract

A practical technique for separating two surface waves that interfere, producing beats, is accomplished by a generalized least-squares inversion. A sinusoid consisting of a polynomial phase function is fit via least squares to both the envelope and the carrier wave forms of a digitized signal. The phase functions of the two interfering waves are then determined via a modulation equation. The derivative with respect to time of each phase function yields the frequency dispersion curves. Determinations of both group- and phase-velocity dispersion curves are discussed and a numerical example of the technique is given.






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