It is proposed to consider data both on the deep density distribution (gravity instability) and the bulk modulus of elasticity on estimation of the stability of layered mountain ranges. It is shown that an increase in bulk elastic rigidity with depth is the stable state of layered media in terms of energy in the field of gravity stress. In the tectonosphere, in which the moduli of elasticity are inverted (decrease) with depth, excess energy of elastic strain of volume change is generated by body forces, and it will determine the instability of the geologic medium.

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