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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

LEVEL SET-BASED SHAPE OPTIMIZATION APPROACH FOR SHARP-INTERFACE RECONSTRUCTIONS IN TIME-DOMAIN FULL WAVEFORM INVERSION

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Author(s):
Albuquerque, Yuri F. [1] ; Laurain, Antoine [1] ; Yousept, Irwin [2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
[2] Univ Duisburg Essen, Fak Math, D-45127 Essen - Germany
Total Affiliations: 2
Document type: Journal article
Source: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 81, n. 3, p. 939-964, 2021.
Web of Science Citations: 0
Abstract

Velocity models presenting sharp interfaces are highly relevant in seismic imaging, e.g., for imaging the subsurface of the Earth in the presence of salt bodies. In order to mitigate the oversmoothing of classical regularization strategies such as the Tikhonov regularization, we propose a shape optimization approach for the sharp-interface reconstruction in time-domain acoustic full waveform inversion. Our main result includes the shape differentiability of the cost functional measuring the misfit between observed and predicted data. In particular, it reveals the expression of the distributed shape derivative in tensor form, built on a Lagrangian-type approach and regularity results for the wave equation with discontinuous coefficients. Based on the achieved distributed shape derivative and the level set method, we propose a numerical approach and present several numerical tests supporting our approach. (AU)

FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program