Coupled oscillators as a model of high-frequency geoacoustic emission

The article is devoted to mathematical modeling of high-frequency (from units to tens of kilohertz) geoacoustic emission of near-surface sedimentary rocks recorded in Kamchatka. Dislocation emission sources are located in the volume of rocks bounded by a hemisphere of radius 37 m centered at the registration point. A typical signal of high-frequency geoacoustic emission is a combination of relaxation pulses. These pulses are closest in shape to the Berlage pulses. The article proposes a mathematical model of high-frequency geoacoustic emission of near-surface sedimentary rocks in the form of a system of coupled oscillators. Each oscillator describes a dislocation source of geoacoustic emission. The interaction between the sources is carried out only through radiation. A system of two coupled oscillators is considered. The Rosenbrock method was used to find numerical solutions for different values of the coupling coefficient between sources. Oscillograms, spectra and phase trajectories of the process under consideration are constructed. An analysis of the solutions showed that as the coupling coefficient increases, a stable energy exchange between the oscillators is observed.