On the Criterion for Selecting the Models of Viscoelasticity for Description of the Unstable behavior of Geosystems

The fundamental criterion for selecting the models of viscoelasticity for theoretical reproduction of unstable behavior of geosystems is the appropriateness of such models (with regard for extremely high inherent viscosity of geomaterials) for description of real wave processes in the same geosystems prior to the onset of instability. In the case of high viscosity, it is substantiated the fundamental inappropriateness of models of the Voigt type and the fundamental appropriateness of models of the type of standard viscoelastic material (with the particular case of the Maxwell model). It is proven that in the case of instability of the elastic comparison system, the instability of corresponding viscoelastic system develops dynamically, and even faster than the instability of the elastic comparison system.