HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Full Text (PDF) References Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by NYMAN, D. C. Articles by LANDISMAN, M. Search for Related Content GeoRef GeoRef Citation

The relationship between group velocity and phase velocity for finite, discrete observations

INSTITUTE FOR GEOSCIENCES UNIVERSITY OF TEXAS AT DALLAS, P.O. BOX 688, RICHARDSON, TEXAS 75080
ATLANTIC-RICHFIELD CO., 3000 DALLAS NORTH PKWY., PLANO, TEXAS 75074

Abstract

The well-known relationship between group velocity and phase velocity, 1/u = d/d (/c), is adapted to the practical situation of discrete observations over a finite frequency range. The transformation of one quantity into the other is achieved in two steps: a low-order polynomial accounts for the dominant trends; the derivative/integral of the residual is evaluated by Fourier analysis. For observations of both group velocity and phase velocity, the requirement that they be mutually consistent can reduce observational errors. The method is also applicable to observations of eigenfrequency and group velocity as functions of normal-mode angular order.

This article has been cited by other articles:

				E. A. DEAN and G. R. KELLER Interactive processing to obtain interstation surface-wave dispersion Bulletin of the Seismological Society of America, June 1, 1991; 81(3): 931 - 947. [Abstract] [PDF]

				E. A. DEAN The simultaneous smoothing of phase and group velocities from multi-event surface wave data Bulletin of the Seismological Society of America, October 1, 1986; 76(5): 1367 - 1383. [Abstract] [PDF]