Statistics – Computation
Scientific paper
Oct 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009georl..3620310b&link_type=abstract
Geophysical Research Letters, Volume 36, Issue 20, CiteID L20310
Statistics
Computation
1
Exploration Geophysics: Computational Methods: Seismic, Seismology: Tomography (6982, 8180), Seismology: Computational Seismology, Mathematical Geophysics: Inverse Theory, Mathematical Geophysics: Wave Propagation (0689, 2487, 4275, 4455, 6934)
Scientific paper
Elastic frequency-domain full-waveform inversion is here applied to a realistic synthetic offshore model to study the behavior of the least-squares and least-absolute-value norms, in the presence of noisy multi-component seismic data. As expected, the inversion results show that the L 2 norm is highly sensitive to non-Gaussian errors in the data and gives rise to high amplitude artifacts in the reconstructed models. The L 1 norm shows more robust behavior, whatever the noise characteristics, and allows convergence towards acceptable models, for both the compressional-wave and shear-wave velocity models. This study highlights the sensitivity of the full-waveform inversion results for the chosen norm in the case of noisy data. The marginally used L 1 norm reveals a robust alternative to the L 2 norm for frequency-domain full-waveform inversion of weakly redundant data.
Brossier Romain
Operto Stéphane
Virieux Jean
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