Mathematical Model of High-Frequency Geoacoustic Emission

• DOI

Geoacoustic emission is an indicator of the stress-strain state of the lithosphere, so it plays an important role in the development of methods for predicting strong earthquakes in seismically active regions such as Kamchatka. This chapter examines some aspects of the quantitative and qualitative analysis of a mathematical model of high-frequency geoacoustic emission. The mathematical model of high-frequency geoacoustic emission is a chain of two coupled oscillators, which is described by a system of two second-order linear ordinary differential equations with non-constant coefficients. Non-constant coefficients have the property of continuous attenuation over long periods of time. Each differential equation describes a pulse of high-frequency geoacoustic emission with its own characteristics, and the interaction between pulses—energy exchange is realized through a linear coupling coefficient.

Solodchuk A.A., Gapeev M.I., Sergienko D.F., Parovik, R.I. Mathematical Model of High-Frequency Geoacoustic Emission // In: Parovik, R., Zunnunov, R.T. (eds) Hereditary Models of Dynamic Processes in Geospheres. Mathematics of Planet Earth, vol 12. Springer, Cham, 2024. P. 83-108. DOI: 10.1007/978-3-031-70114-6_5