TITLE:
Reliability of Attenuation Properties Recovery for Viscoelastic Media
AUTHORS:
Ekaterina Efimova, Vladimir Cheverda
KEYWORDS:
Viscoelasticity; Seismic Attenuation; Inverse Theory; Wave Propagation; Singular Value Decomposition; Diffraction Patterns
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.1B1,
July
12,
2013
ABSTRACT: The inverse problem of seismology for media with
attenuation is considered in this paper. Generalized Standard Linear Solid is
used to describe viscoelastic media. In the numerical solution certain
parameterizations can be coupled, it means that true heterogeneity of the only
one of parameters can be restored only as a perturbation of another. This is
why important to investigate reliability of parameters recovery. By using
method based on diffraction patterns it is possible to see whether the
parameters are coupled. Singular value decomposition was used to study the
possibility of recovering the parameters in practice. It was investigated the
possibility of reconstructing of the density, impedances and attenuation
properties. Coupling appears on the attenuation properties and impedances
separately corresponding to the P-wave and S-wave. It is also should be noted
that coupling decreases with increasing frequency range and the condition number.