Non‐linear optimization for seismic traveltime tomography

Abstract

This paper presents a non‐linear algorithmic approach for seismic traveltime. It is based on large‐scale optimization using non‐linear least‐squares and trust‐region methods. These methods provide a natural way to stabilize algorithms based on Newton's iteration for non‐linear minimization. They also correspond to an alternative (and often more efficient) view of the Levenberg‐Marquardt method. Numerical experience on synthetic data and on real borehole‐to‐borehole problems are presented. In particular, results produced by the new algorithm are compared with those of Ivansson (1985) for the Kråkemåla experiment. Copyright © 1993, Wiley Blackwell. All rights reserved