The conditions for the onset of instability of stratified heavy geomasses are analytically investigated in the work. The geomaterial forming a geomass is supposed to be elastic and to possess both bulk and shear stiffnesses. The unperturbed equilibrium state of the geomass is isostatic, i.e., characterized by hydrostatic stress field. The depth stratification of density and elastic properties of geomaterial is considered as continuous. The characteristics of stratifications of elastic and density parameters, that surely lead to the onset of instability, are obtained. The obtained sufficient conditions for instability are compared with obtained earlier by the authors the sufficient conditions for stability. Possible geophysical applications of the results are considered.
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