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The simultaneous smoothing of phase and group velocities from multi-event surface wave data

DEPARTMENT OF PHYSICS UNIVERSITY OF TEXAS AT EL PASO, EL PASO, TEXAS 79968

Abstract

For dispersion data that contains both phase and group velocities, the functional relation between these quantities provides a means of simultaneously smoothing the raw data. A procedure for analyzing surface wave data from multiple events is presented that is based on the nonlinear least-squares technique with Chebyshev polynomials as the expansion functions. The degree of the fitting polynomial is determined by the F test, and estimates of the standard errors for the smoothed data are provided. The procedure is illustrated by its application to synthetic and actual data.

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