Geodesic
A study of coupling between viscoelastic parameters using the singular value decomposition analysis
Numerical methods and programming, Tome 17 (2016) no. 3, pp. 309-317.

Voir la notice de l'article provenant de la source Math-Net.Ru

The solution of a linearized inverse seismic problem of viscoelasticity is studied. The generalized standard linear solid model and the $\tau$ method are used to describe media with attenuation. If the heterogeneity of one of the sought parameters influence the variability of another one during the process of numerical solution, then such parameters are said to be called coupled. Such a coupling is a sign of ill-posedness of the original problem. A regularization is necessary to overcome this difficulty. To accomplish this, we propose the truncation of the singular value decomposition to simultaneously determine the P-velocity and its attenuation. A combination of the Lame parameters and the quality factor are used as the parametrization of the medium under consideration.
Keywords: viscoelasticity, seismic attenuation, inverse problems, ambiguity of solution.
Mots-clés : singular value decomposition 
@article{VMP_2016_17_3_a11,
     author = {E. S. Efimova},
     title = {A study of coupling between viscoelastic parameters using the singular value decomposition analysis},
     journal = {Numerical methods and programming},
     pages = {309--317},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a11/}
}
TY  - JOUR
AU  - E. S. Efimova
TI  - A study of coupling between viscoelastic parameters using the singular value decomposition analysis
JO  - Numerical methods and programming
PY  - 2016
SP  - 309
EP  - 317
VL  - 17
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a11/
LA  - ru
ID  - VMP_2016_17_3_a11
ER  - 
%0 Journal Article
%A E. S. Efimova
%T A study of coupling between viscoelastic parameters using the singular value decomposition analysis
%J Numerical methods and programming
%D 2016
%P 309-317
%V 17
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a11/
%G ru
%F VMP_2016_17_3_a11
E. S. Efimova. A study of coupling between viscoelastic parameters using the singular value decomposition analysis. Numerical methods and programming, Tome 17 (2016) no. 3, pp. 309-317. http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a11/