[Analyse de sensibilité aux paramètres d'une méthode d'inversion sismique reposant sur les formes d'onde anélastiques et les moindres carrés non linéaires]
Nous avons décrit dans un article récent une méthode d'inversion sismique, formulée comme un problème de moindres carrés non linéaires assujetti à des contraintes correspondant aux équations décrivant le problème direct de propagation d'ondes, permettant de déterminer la célérité et l'atténuation crustales de bassins situés dans des zones à forte seismicité. Dans cet article, une étude paramétrique est menée afin d'évaluer l'influence sur le coût et la qualité de l'inversion de paramètres tels que la forme de la fonctionnelle de régularisation, la densité de capteurs, le préconditionnement, le niveau de bruit entachant les données et la méthode de raffinement progressif de l'espace des inconnues. L'exemple utilisé (modèle 2D du bassin de Los Angeles) est le même que dans l'article précédent.
In a recent article, we described a seismic inversion method for determining the crustal velocity and attenuation of basins in earthquake-prone regions. We formulated the problem as a constrained nonlinear least-squares optimization problem in which the constraints are the equations that describe the forward wave propagation. Here, we conduct a parametric study to investigate the influence of parameters such as the form of the regularization function, receiver density, preconditioning, noise level of the data, and the multilevel continuation technique on the cost and quality of the inversion. We use the same 2D Los Angeles example as in our earlier study.
Mot clés : Ondes, Inversion par forme d'onde, Formulation adjointe, Atténuation intrinsèque
@article{CRMECA_2010__338_7-8_364_0,
author = {Aysegul Askan and Volkan Akcelik and Jacobo Bielak and Omar Ghattas},
title = {Parameter sensitivity analysis of a nonlinear least-squares optimization-based anelastic full waveform inversion method},
journal = {Comptes Rendus. M\'ecanique},
pages = {364--376},
publisher = {Elsevier},
volume = {338},
number = {7-8},
year = {2010},
doi = {10.1016/j.crme.2010.07.002},
language = {en},
}
TY - JOUR AU - Aysegul Askan AU - Volkan Akcelik AU - Jacobo Bielak AU - Omar Ghattas TI - Parameter sensitivity analysis of a nonlinear least-squares optimization-based anelastic full waveform inversion method JO - Comptes Rendus. Mécanique PY - 2010 SP - 364 EP - 376 VL - 338 IS - 7-8 PB - Elsevier DO - 10.1016/j.crme.2010.07.002 LA - en ID - CRMECA_2010__338_7-8_364_0 ER -
%0 Journal Article %A Aysegul Askan %A Volkan Akcelik %A Jacobo Bielak %A Omar Ghattas %T Parameter sensitivity analysis of a nonlinear least-squares optimization-based anelastic full waveform inversion method %J Comptes Rendus. Mécanique %D 2010 %P 364-376 %V 338 %N 7-8 %I Elsevier %R 10.1016/j.crme.2010.07.002 %G en %F CRMECA_2010__338_7-8_364_0
Aysegul Askan; Volkan Akcelik; Jacobo Bielak; Omar Ghattas. Parameter sensitivity analysis of a nonlinear least-squares optimization-based anelastic full waveform inversion method. Comptes Rendus. Mécanique, Volume 338 (2010) no. 7-8, pp. 364-376. doi : 10.1016/j.crme.2010.07.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.002/
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