International Conference «Inverse and Ill-Posed Problems of Mathematical Physics»,
dedicated to Professor M.M. Lavrent’ev in occasion of his 75-th birthday, August 20-25, 2007, Novosibirsk, Russia
On the numerical solution of the inverse dynamical problem
in the frequency domain for horizontally stratified media
to reconstruct the elastic parameters of the anisotropic layer
E. Mısırlı Kurpınar*, Andrey L. Karchevsky**
* Science Faculty, Department of Mathematics,
Ege University,
35100 Bornova, Izmir, Turkey
E-mail: emine.kurpinar@ege.edu.tr
** IM SB RAS,
Ak. Koptyug prosp., 4,
630090 Novosibirsk, Russia
E-mail: karchevs@math.nsc.ru
The work of the second author was supported by RFBR (grant 05-01-00559) and SB RAS (project 26)
In this paper, we will give the algorithm of solving of the inverse dynamical problem of seismics for horizontally
stratified media to reconstruct the unknown elastic constants and the angles of the axis symmetry of the anisotropic
layer with vertical plains of symmetry. We investigated the invers problem for the special cases. The numerical
solution of the inverse problem was studied in the frequency domain.
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