Two migration methods based on paraxial equations in a 3D heterogeneous medium

Eliane Bécache (1) , Francis Collino (1) , Michel Kern (1) , Patrick Joly (1)

1 INRIA Rocquencourt

We review recent work on paraxial equation based migration methods for 3D heterogeneous media. Two different methods are presented: one deals directly with the classical paraxial equations, by solving a linear system at each step in depth. The other method derives new paraxial equations that lend themselves to splitting in the lateral variables, without losing either accuracy or isotropy. We also show how to incorporate Berenger's perfectly matched layers in this framework. We detail the discretization schemes, both for the full paraxial equations, and for the newly derived equations.

Mots clés: Paraxial wave equation

Domaines: Analyse numérique [math.NA]

Eliane Bécache, Francis Collino, Michel Kern, Patrick Joly. Two migration methods based on paraxial equations in a 3D heterogeneous medium. Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. pp.12, ⟨10.1117/12.218503⟩. ⟨hal-01316194⟩