Discrete Mathematical Model of Earthquake Focus: An Introduction

Arsen’yev, S.A.; Eppelbaum, L.V.; Meirova, T.B.

Авторы: Arsen’yev Sergey A., Eppelbaum Lev V., Meirova Tatiana B.
Журнал: Pure and Applied Geophysics
Том: 177
Номер: 9
Год издания: 2020
Издательство: Springer Nature
Местоположение издательства: Switzerland
Первая страница: 4097
Последняя страница: 4118
Номер статьи: 3
DOI: 10.1007/s00024-020-02485-1
Аннотация: Abstract—The process of earthquake appearance in its focus isanalyzed on the basis of the oscillation theory. The earthquakefocus consisting for simplicity of two blocks (granitic and basaltic)is studied mathematically and physically. The block sizes, densityand Young’s modulus of the rocks composing these blocks areconsidered to be known. We assume that the blocks are located onan edge of a regional tectonic fault. The tectonic plate or subplate,moving with a given speed u of shearing, is on the other edge of thefault. The mechanical interaction of the fault edges is due to thefriction, which depends on the relative velocity V = u - dx/dt,where x is a coordinate of the concrete block. Physical-mathematical equations of block motion are solved using analyticalmethods. As a result, we find complete information about seismicvibrations in the focus and their characteristics. The evolutions ofkinetic, potential and total energy as well as the function of dissipation in the focus and magnitude of the earthquake arecalculated. The computations were carried out at different speedsof movement u. This allowed us to study the dependence of theearthquake magnitude on the velocity u of the main plate. Theconstructed original model of the earthquake focus unmasks themechanism of seismic oscillations and their properties.Keywords: Earthquake mechanics, mathematical modelling,earthquake sources, faults, seismic oscillations.
Добавил в систему: Арсеньев Сергей Александрович

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Discrete Mathematical Model of Earthquake Focus: An Introductionстатья Исследовательская статья

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