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

Autor(es)

Albuquerque, Yuri F. ^[1] ; Laurain, Antoine ^[1] ; Yousept, Irwin ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil

^[2] Univ Duisburg Essen, Fak Math, D-45127 Essen - Germany

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 81, n. 3, p. 939-964, 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia