Convergence of seismic full waveform inversion and extension to Cauchy data

Abstract : We study the seismic inverse problem associated with the time-harmonic wave equations for the reconstruction of subsurface media. The reconstruction is conducted using the full waveform inversion (FWI) method and relies on iterative minimization algorithm, which is adapted to large scale situation. We study the convergence of the minimization problem and are able to numerically estimate the size of the basin of attraction, depending on the frequency. We carry out numerical experiments for acoustic and elastic parameters reconstruction assuming no-prior information in the initial models, in two and three dimensions. In a recent work with G. Alessandrini, R. Gaburro, M. V. de Hoop and E. Sincich, we also extend the algorithm to Cauchy data, where the stability results allow some promising perspectives and minimal information regarding the observational acquisition.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01662677
Contributor : Florian Faucher <>
Submitted on : Wednesday, December 13, 2017 - 1:02:58 PM
Last modification on : Friday, April 12, 2019 - 10:46:02 AM

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  • HAL Id : hal-01662677, version 1

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Hélène Barucq, Henri Calandra, Guy Chavent, Florian Faucher. Convergence of seismic full waveform inversion and extension to Cauchy data. Inverse Days 2017, Dec 2017, Oulu, Finland. ⟨hal-01662677⟩

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