2023 , Volume 28, № 5, p.15-32

Modelling of the stress and strain state of a geoenvironment in a gravitational field, taking into account data on its structure, is part of comprehensive research in geodynamics. The gravitational field caused by the density inhomogeneity of the Earth’s tectonosphere is one of the internal sources of generating tectonic stresses.

A unified 3D-model is proposed to study possible dislocations of inhomogeneous layers of the tectonosphere. The kinematics is determined by the Cauchy – Green strain tensor, the stress state is described by the unsymmetric Piola – Kirchhoff stress tensor. All parameters are obtained in the analytical form for the Murnaghan state equation. At the stage of numerical experiment, it is possible to embed an inhomogeneous density and distributions for other properties of the geoenvironment. The density model is used according to the coordinate grid: depth – latitude – longitude. The density values are determined based on deep sounding and gravimetry data.

Numerical reconstruction of inhomogeneous fields of displacement and rotation, of strain and stress intensity of the Earth’s crust for the data of the Central Kuriles profile density model is performed. The relief of the profile surface is determined by the stress and strain state of the deep structures. The potential possibility of movement in the direction from the oceanic plate to the continental one and the transition of geoenvironment to a plastic state are modelled.

The allocation, the detail of the layered and block structure in the hypocenter zones of the Simushir earthquakes, and the concentration of strain and stress fields are consistent with the density differentiation of the Earth’s crust.