Open AccessNon‐linear optimization for seismic traveltime tomography
Author(s) -
Sebudandi Ch.,
Toint Ph.L.
Publication year - 1993
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1993.tb01502.x
Subject(s) - borehole , minification , geology , seismic tomography , levenberg–marquardt algorithm , algorithm , tomography , least squares function approximation , scale (ratio) , inverse theory , geophysical imaging , computer science , mathematical optimization , seismology , mathematics , geophysics , physics , artificial intelligence , artificial neural network , statistics , geotechnical engineering , estimator , mantle (geology) , optics , deformation (meteorology) , oceanography , quantum mechanics
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.