Non-linear optimization for seismic traveltime tomography

作者: Ch. Sebudandi , Ph.-L. Toint

DOI: 10.1111/J.1365-246X.1993.TB01502.X

关键词:

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

参考文章(24)
T.J. Moser, The shortest path method for seismic ray tracing in complicated media Geologica Ultraiectina. ,vol. 83, pp. 1- 180 ,(1992)
Jean Virieux, Fast and accurate ray tracing by Hamiltonian perturbation Journal of Geophysical Research. ,vol. 96, pp. 579- 594 ,(1991) , 10.1029/90JB02025
Trond Steihaug, Local and superlinear convergence for truncated iterated projections methods Mathematical Programming. ,vol. 27, pp. 176- 190 ,(1983) , 10.1007/BF02591944
Trond Steihaug, The Conjugate Gradient Method and Trust Regions in Large Scale Optimization SIAM Journal on Numerical Analysis. ,vol. 20, pp. 626- 637 ,(1983) , 10.1137/0720042
S. J. Wright, J. N. Holt, A new non-linear least squares algorithm for the seismic inversion problem Geophysical Journal International. ,vol. 87, pp. 1041- 1056 ,(1986) , 10.1111/J.1365-246X.1986.TB01982.X
John A Scales, Adam Gersztenkorn, Sven Treitel, Fast l p solution of large, sparse, linear systems: application to seismic travel time tomography Journal of Computational Physics. ,vol. 75, pp. 314- 333 ,(1988) , 10.1016/0021-9991(88)90115-5
Keiiti Aki, Anders Christoffersson, Eystein S. Husebye, Determination of the three-dimensional seismic structure of the lithosphere Journal of Geophysical Research. ,vol. 82, pp. 277- 296 ,(1977) , 10.1029/JB082I002P00277