An Optimizational Method for Solving the Inverse Dynamic Problem for the Wave Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling
Издание: Geophysical Data Inversion Methods and Applications. Proceedings of the 7th International Mathematical Geophysics Seminar held at the Free University of Berlin, February 8-11, 1989
Издатель: Springer
, Место издания: Berlin
, Год издания: 1990
Страницы: 455-469
Аннотация
The inverse dynamic problem for the wave equation in the class of vertically inhomogeneous media is considered in this paper. It is required to determine the unknown wave propagation velocity c(z). Solution of this problem is sought for as the minimum point of the data misfit functional. Stability of the minimum point is analyzed depending on the initial approximation and ranges of spatial and time frequencies. The results of numerical experiments for two models are given.
