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First Born and Rytov approximations: Modeling and inversion conditions in a canonical example. (English) Zbl 0662.65110

Model optimization in exploration geophysics 2, Proc. 5th Int. Math. Geophys. Semin. Berlin/FRG 1987, 383-412 (1988).
[For the entire collection see Zbl 0645.00011.]
Two approximations, namely first Born and Rytov ones, for the forward and inverse seismic scattering problem are tested on a 1-D example which allows an analytic solution. Extensive numerical examples showing differences of the methods and their applicability are presented.
Reviewer: J.Šmíd

MSC:

65Z05 Applications to the sciences
35R30 Inverse problems for PDEs
86A15 Seismology (including tsunami modeling), earthquakes
35Q99 Partial differential equations of mathematical physics and other areas of application

Citations:

Zbl 0645.00011