| Title: |
Which data residual norm for robust elastic frequency-domain full waveform inversion? |
| Authors: |
Brossier, Romain; Operto, Stéphane; Virieux, Jean |
| Contributors: |
Géoazur (GEOAZUR 6526); Institut de Recherche pour le Développement (IRD)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de la Côte d'Azur; Université Côte d'Azur (UniCA)-Université Côte d'Azur (UniCA)-Centre National de la Recherche Scientifique (CNRS); Laboratoire de Géophysique Interne et Tectonophysique (LGIT); Observatoire des Sciences de l'Univers de Grenoble (OSUG); Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Laboratoire Central des Ponts et Chaussées (LCPC)-Institut de Recherche pour le Développement (IRD)-Centre National de la Recherche Scientifique (CNRS); SEISCOPE consortium, sponsored by BP, CGGVeritas, ExxonMobil, Shell, and TOTAL |
| Source: |
ISSN: 0016-8033 ; Geophysics ; https://insu.hal.science/insu-00544940 ; Geophysics, 2010, 75 (3), pp.R37-R46. ⟨10.1190/1.3379323⟩. |
| Publisher Information: |
CCSD; Society of Exploration Geophysicists |
| Publication Year: |
2010 |
| Collection: |
Université Savoie Mont Blanc: HAL |
| Subject Terms: |
[SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]; [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph]; [SDE.MCG]Environmental Sciences/Global Changes |
| Description: |
International audience ; Elastic full-waveform inversion is an ill-posed data-fitting procedure that is sensitive to noise, inaccuracies of the starting model, definition of multiparameter classes, and inaccurate modeling of wavefield amplitudes. We have investigated the performance of different minimization functionals as the least-squares norm [script l]2, the least-absolute-values norm [script l]1, and combinations of both (the Huber and so-called hybrid criteria) with reference to two noisy offshore (Valhall model) and onshore (overthrust model) synthetic data sets. The four minimization functionals were implemented in 2D elastic frequency-domain full-waveform inversion (FWI), where efficient multiscale strategies were designed by successive inversions of a few increasing frequencies. For the offshore and onshore case studies, the [script l]1-norm provided the most reliable models for P- and S-wave velocities (VP andVS), even when strongly decimated data sets that correspond to few frequencies were used in the inversion and when outliers polluted the data. The [script l]2-norm can provide reliable results in the presence of uniform white noise for VP and VS if the data redundancy is increased by refining the frequency sampling interval in the inversion at the expense of computational efficiency. The [script l]1-norm and the Huber and hybrid criteria, unlike the [script l]2-norm, allow for successful imaging of the VS model from noisy data in a soft-seabed environment, where the P-to-S-waves have a small footprint in the data. However, the Huber and hybrid criteria are sensitive to a threshold criterion that controls the transition between the criteria and that requires tedious trial-and-error investigations for reliable estimation. The [script l]1-norm provides a robust alternative to the [script l]2-norm for inverting decimated data sets in the framework of efficient frequency-domain FWI. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
BIBCODE: 2010Geop.75R.37B |
| DOI: |
10.1190/1.3379323 |
| Availability: |
https://insu.hal.science/insu-00544940; https://doi.org/10.1190/1.3379323 |
| Accession Number: |
edsbas.783039B1 |
| Database: |
BASE |