A two-layer structure, which comprises a volcanic edifice, a volcanic channel, a magma chamber and a surrounding mountain range, is considered. The material of each rock layer is assumed to be homogeneous, isotropic and elastic (the elastic modulus of the upper layer is lower than the elastic modulus of the lower layer). The structure is under the action of pressure distributed over the chamber surface and part of the channel. Conditions of interaction between the structure and the surrounding rock mass are imposed on the lower and lateral surfaces. The results obtained in solving axisymmetric and three-dimensional problems are compared. It is shown that the proposed approach opens new possibilities for consideration of changes in the rock mass structure in the vicinity of volcanoes.
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