The article describes the assessment procedure for earth’s crust blocks approximated by plates with a view to selecting the most stable site for hot waste disposal. A structural block is understood as a thin plate layer with areal size larger than its thickness. The governing role is given to geodynamic zoning based on the modeling of the stress state in the top layer of the crust. Hazardous zone in rock mass are revealed by means of stress concentration estimate in the frame of the plane elasticity in concert with development of mechanical–mathematical and computing aids for modeling bending of a plate layer based on the theories of Kirchhoff and Mindlin–Reissner. The obtained analytical solution of the Kirchhoff plate bending under point (instantaneous) energy impulse and the robust Mindlin–Reissner plate finite elements expand capabilities of stress state calculation in a heterogeneous geological medium, and be a framework for new computational program products.

Acknowledgements: The study was supported y the Russian Science Foundation, Project No. 1517-10016, and by the Russian Foundation for Basic Research, Project No. 18-35-00260.

For citation: Kolesnikov IYu., Tatarinov VN. Stability of geological medium under bending loads and concentrated energy impulses. MIAB. Mining Inf. Anal. Bull. 2019;(9):149-159. [In Russ]. DOI: 10.25018/0236-1493-2019-09-0-149-159.


Geological medium stability, underground isolation of radioactive waste, Kirchhoff thin plate bending, Mindlin–Reissner medium-thickness plate bending, exact analytical solution, finite element method, finite elements.

Issue number: 9
Year: 2019
ISBN: 0236-1493
UDK: 621.039.74
DOI: 10.25018/0236-1493-2019-09-0-149-159
Authors: Kolesnikov I. Yu., Tatarinov V. N.

About authors: I.Yu. Kolesnikov, Dr. Sci. (Phys. Mathem.), Leading Researcher, e-mail:, V.N. Tatarinov, Dr. Sci. (Eng.), Head of Laboratory, Schmidt Institute of Physics of Earth of Russian Academy of Sciences, 123242, Moscow, Russia, e-mail:, Geophysical Center, Russian Academy of Sciences, 119296, Moscow, Russia. Corresponding author: V.N. Tatarinov, e-mail:


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