A method of extracting phase‐velocity curves from seismograms

F. Abramovici*, J. Gal‐Ezer, J. Baumgarten

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Summary. The Lanczos method of separating exponentials is applied to the Fourier transform of seismograms in order to separate the various modes that contribute to the given portion of the seismograms. Phase velocities and amplitudes are obtained as functions of the frequency. When applying the method to artificial seismograms, which are built as an exact superposition of a number of modes, the separation is very accurate. The method was also applied to the surface‐wave portion of numerical seismograms for a vertical point force in a layered medium. The phase velocity and amplitude of the fundamental mode are obtained. These functions were taken as the first guess in the Backus—Gilbert generalized inverse procedure and the process converged very rapidly. When a perturbation of the phases and amplitudes is taken as the first guess the process converges to the true model when enough data are available.

Original languageEnglish
Pages (from-to)727-739
Number of pages13
JournalGeophysical Journal of the Royal Astronomical Society
Issue number3
StatePublished - Jun 1981


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