Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion

Hélène Barucq 1 Florian Faucher 1 Ha Pham 1
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : We investigate numerically the inverse problem of locating small circular obstacles in a homogeneous medium from multi-frequency back-scattered data limited to four angles of incidence. The main novelty of our paper is working with the position of the obstacles as parameter space in the frame work of full-waveform inversion (FWI) procedure. The computational cost of FWI is lowered by using a method based on single-layer potential. Reconstruction results are shown up to twenty-four obstacles, from initial guesses allowed to be far from the target. In experiments with six obstacles, we supplement the reconstruction with an analysis of the performance of the nonlinear conjugate gradient and quasi-Newton methods, in used with various line search algorithms.
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Hélène Barucq, Florian Faucher, Ha Pham. Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion. Journal of Computational Physics, Elsevier, 2018, 370, pp.1-24. ⟨10.1016/j.jcp.2018.05.011⟩. ⟨hal-01806544⟩

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