## Slowness vectors in viscoelastic anisotropic
media. Part 2: Numerical examples

**Vlastislav Cerveny**,
**Ivan Psencik**
### Summary

The expressions based on the so-called mixed specification of the slowness
vector of plane waves propagating in viscoelastic anisotropic media,
derived by Cerveny and Psencik (2004),
are used to
illustrate behaviour of various characteristics of these plane waves.
Studied characteristics are phase velocities, amplitude decay along
the propagation direction, attenuation, attenuation angle and
polarization vectors. Simple analytic expressions are used to describe
behaviour of SH waves propagating in a plane of symmetry of a viscoelastic
anisotropic medium. Characteristics of qP plane wave and qS plane waves
are determined by solving a complex-valued algebraic equation of the
sixth degree. Combined effects of attenuation and anisotropy predicted
in Cerveny and Psencik (2004)
are illustrated on two
models of viscoelastic anisotropic media. The explanation of the so-called
forbidden directions known from the directional specification of the
slowness vector is given. Non-physical results related to forbidden directions
do not arise in the mixed specification.

### Keywords

Viscoelastic anisotropic media, inhomogeneous and homogeneous plane waves,
mixed specification, inhomogeneity parameter, phase velocity, attenuation,
attenuation angle, polarization.

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In: Seismic Waves in Complex 3-D Structures, Report 14,
pp. 149-179, Dep. Geophys., Charles Univ., Prague, 2004.

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