Fermat's principle and nonlinear traveltime tomography

Journal Article · Mon Jun 19 04:00:00 EDT 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.2953· OSTI ID:6035332

Berryman, J G

Fermat's principle shows that a definite convex set of feasible slownessmodels, depending only on the traveltime data, exists for the fully nonlineartraveltime inversion problem. In a new iterative reconstruction algorithm, theminimum number of nonfeasible ray paths is used as a figure of merit todetermine the optimum size of the model correction at each step. The numericalresults show that the new algorithm is robust, stable, and produces very goodreconstructions even for high contrast materials where standard methods tend todiverge.

• Research Organization: Lawrence Livermore National Laboratory, P.O. Box 808 L-156, Livermore, California 94550(US); Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6035332
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:25; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
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FERMAT PRINCIPLE
LEAST SQUARE FIT
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