Fermat’s principle and nonlinear traveltime tomography

James G. Berryman
Phys. Rev. Lett. 62, 2953 – Published 19 June 1989
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Abstract

Fermat’s principle shows that a definite convex set of feasible slowness models, depending only on the traveltime data, exists for the fully nonlinear traveltime inversion problem. In a new iterative reconstruction algorithm, the minimum number of nonfeasible ray paths is used as a figure of merit to determine the optimum size of the model correction at each step. The numerical results show that the new algorithm is robust, stable, and produces very good reconstructions even for high contrast materials where standard methods tend to diverge.

  • Received 13 March 1989

DOI:https://doi.org/10.1103/PhysRevLett.62.2953

©1989 American Physical Society

Authors & Affiliations

James G. Berryman

  • Lawrence Livermore National Laboratory, P.O. Box 808 L-156, Livermore, California 94550
  • Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012

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Vol. 62, Iss. 25 — 19 June 1989

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