Аннотация:The issue of the rate of instability development in heavy viscoelastic geosystems with anomalous density distribution over depth is investigated on model problems in which the generating instability gravitational forces and preventing instability viscoelastic forces depend on displacements in the ways structurally similar to those in corresponding geosystems. The Maxwell viscoelasticity model is admitted, since it is precisely this model, that, taking into account the huge viscosity of geomaterials, makes it possible to adequately describe the dynamics of geosystems. Along with viscoelastic systems, the corresponding elastic comparison systems are considered. It is obtained that in the case of instability of the latter, the development of instability in viscoelastic systems at any viscosity goes faster than in the comparison systems. With increase in viscosity, the rate of instability development in viscoelastic systems tends from above to the rate of instability development in the comparison systems. In the case of stability of the comparison systems, the viscoelastic systems are unstable, but the rate of development of their instability is negligible. It is in this and only in this case that the viscosity slows down this rate, and for a huge viscosity, such an instability is difficult to be noticed at real observation times. The conclusion is made that the study of stability of geosystems based on the study of elastic comparison systems is adequate.
