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On Small Oscillations Inside a Volcano Feeding System

A simple analytical model representing one of the possible mechanisms for the occurrence of low-frequency oscillations in a feeding system of volcano has been developed. The model is presented for a cylindrical chamber filled with magma with Maxwell rheology. It is shown that damped harmonic oscillations in the magma flow velocity can occur in the volcanic chamber. These damped harmonic oscillations can appear as a reaction to remote seismic events or seismic events in the volcanic feeding system. The dependence of the oscillation frequency on the physical characteristics of the magmatic melt and the geometric dimensions of the volcano chamber is shown. The occurrence of magmatic oscillations can be observed near the surface as a volcanic tremor. The model is applied to the measurements result of low-frequency oscillations for the magma chamber of the Elbrus volcanic center.