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Optimization schemes for Full Waveform Inversion: the preconditioned truncated Newton method

By Ludovic Métivier, Romain Brossier, Jean Virieux and Stéphane Operto

Abstract

International audienceFull Waveform Inversion (FWI) methods use generally gradient based method, such as the nonlinear conjugate gradient method or more recently the l-BFGS quasi-Newton method. Several authors have already investigated the possibility of accounting more accurately for the inverse Hessian operator in the minimization scheme through Gauss-Newton or exact Newton algorithms. We propose a general framework for the implementation of these methods inside a truncated Newton procedure. We demonstrate that the exact Newton method can outperform the standard gradient-based methods in a near-surface application case for recovering high-velocity concrete structures. In this particular configuration, large amplitude multi-scattered waves are generated, which are better taken into account using the exact-Newton method

Topics: [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], [SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph], [SDE.MCG]Environmental Sciences/Global Changes, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Publisher: 'Society of Exploration Geophysicists'
Year: 2012
DOI identifier: 10.1190/segam2012-0981.1
OAI identifier: oai:HAL:hal-00944411v1

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