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


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


Zbl 0645.00011