Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space

Fredrik Andersson (1, 2) , Maarten V. de Hoop (3) , Herwig Wendt (2, 4)

1 Centre for Mathematical Sciences
2 IRIT-SC - Signal et Communications
3 Department of Mathematics
4 CNRS - Centre National de la Recherche Scientifique

We develop a representation of reverse-time migration in terms of Fourier integral operators the canonical relations of which are graphs. Through the dyadic parabolic decomposition of phase space, we obtain the solution of the wave equation with a boundary source and homogeneous initial conditions using wave packets. On this basis, we develop a numerical procedure for the reverse time continuation from the boundary of scattering data and for RTM migration. The algorithms are derived from those we recently developed for the discrete approximate evaluation of the action of Fourier integral operators and inherit from their conceptual and numerical properties.

Mots clés: Reverse-time migration; Fourier integral operators; Dyadic parabolic; Decomposition; Caustics; Restricted angle; Reflection seismology; Transform

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]

Fredrik Andersson, Maarten V. de Hoop, Herwig Wendt. Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space. SIAM Journal on Imaging Sciences, 2015, 8 (4), pp.2383-2411. ⟨10.1137/15M1022057⟩. ⟨hal-01514620⟩