Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach - IFPEN - IFP Energies nouvelles Access content directly
Journal Articles Geophysical Journal International Year : 2006

Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach

Jean Charles Gilbert
Delphine Sinoquet

Abstract

S U M M A R Y Seismic reflection tomography is a method for determining a subsurface velocity model from the traveltimes of seismic waves reflecting on geological interfaces. From an optimization viewpoint , the problem consists in minimizing a non-linear least-squares function measuring the mismatch between observed traveltimes and those calculated by ray tracing in this model. The introduction of a priori information on the model is crucial to reduce the under-determination. The contribution of this paper is to introduce a technique able to take into account geological a priori information in the reflection tomography problem expressed as inequality constraints in the optimization problem. This technique is based on a Gauss-Newton (GN) sequential quadratic programming approach. At each GN step, a solution to a convex quadratic optimization problem subject to linear constraints is computed thanks to an augmented Lagrangian algorithm. Our choice for this optimization method is motivated and its original aspects are described. First applications on real data sets are presented to illustrate the potential of the approach in practical use of reflection tomography.
Fichier principal
Vignette du fichier
2006GJI_Delbos.pdf (11.92 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-02284102 , version 1 (11-09-2019)

Identifiers

Cite

Frédéric Delbos, Jean Charles Gilbert, Roland Glowinski, Delphine Sinoquet. Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach. Geophysical Journal International, 2006, 164 (3), pp.670-684. ⟨10.1111/j.1365-246X.2005.02729.x⟩. ⟨hal-02284102⟩

Collections

IFP INRIA INRIA2
55 View
138 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More