To the study of wave processes in the block structure of a volcanic structure
UDC
539.422.3DOI:
https://doi.org/10.31429/vestnik-16-2-30-37Abstract
Analysis of the location of earthquake epicenters allows us to identify the geological structures responsible for the implementation of the seismic potential of the territory. Volcanic structures that are widespread in the Krasnodar Territory, the North Caucasus and Russia as a whole can be considered as one of the sources of seismic danger, while the process of catastrophic eruption and strong seismic events can accompany each other or manifest themselves independently. Experimental observations of recent years, conducted in the area of the Elbrus volcanic center, give reason to attribute the magma chamber, the magma chamber (peripheral center), crustal and other channels to the geological structures of the resonant type that determine the mechanisms for the preparation and development of a catastrophic event.
To identify, study and localize the stress concentrators of a volcanic structure, to study their behavior, we suggested applying the block diagram of the block structure of lithospheric structures. The mathematical description and subsequent study of block structures consists in the development and subsequent application of the block element method. Ideas of topological approach underlie this method. The use of experimental methods allows us to determine the structural boundaries of block elements, the type of contact in the areas of their conjugation, the data about which are necessary for building adequate mathematical models.
For study, the amplitude-frequency characteristics of the block structure of a volcanic edifice we considered a model of two elements structure: a layer with a localized inclusion of a cylindrical shape on the base in the form of a half-space or layer. The displacement amplitude vector of medium points satisfy the Lame equations in a cylindrical coordinate system. For the described block structure, we implemented a differential factorization method and obtained integral representations of solutions, numerical analysis of which allows us to establish the dependence of the amplitudes of Rayleigh waves on the depth of localized inclusion, the properties of its material, the direction and magnitude of the external influence.
Keywords:
seismic-generating structure, volcanic structure, modeling, block structure, topological approach, wave process, amplitude-frequency characteristicsFunding information
Отдельные результаты работы получены при поддержке РФФИ (проекты 18-01-00124, 19-08-00145).
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Copyright (c) 2019 Павлова А.В., Зарецкая М.В., Капустин М.С., Лозовой В.В.
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