Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998geoji.134..747d&link_type=abstract
Geophysical Journal International, Volume 134, Issue 3, pp. 747-756.
Astronomy and Astrophysics
Astronomy
5
Differential Seismograms, Multimode Summation, P-Sv Wave, Partial Derivatives, Waveform Inversion
Scientific paper
We present a fast and accurate analytical method for computing differential seismograms with respect to structural model parameters. The method adopts the P-SV-wave multimode summation formalism for laterally homogeneous layered media. The differential seismograms calculated analytically do not suffer from the numerical noise and instability affecting numerical calculations. The frequency range for application of the method spans from regional-scale seismology to seismic engineering. Computationally, the proposed analytical method is equivalent to determining two-mode spectra. In contrast to N + 1 (or 2N) mode spectra for a typical `brute-force' numerical finite difference approach, the method reduces the computations to 2/(N + 1) (if a one-sided perturbation finite difference scheme is used), which corresponds to a 90 per cent saving for 20 (N=20) layers. The speed and accuracy of the technique make it extremely attractive for structural parameter waveform inversions.
Du Z. J.
Michelini Alberto
Panza Giuliano Francesco
Urban Laurie
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