Optimization of informational parameters of the mathematical model of seismoacoustic monitoring of natural and engineering object

DOI: 10.31673/2412-9070.2024.050912

Abstract

Considering the fact that Ukraine is at war with the Russian Federation, conducting seismoacoustic monitoring in order to assess the dynamics of changes in the physically appropriate parameters of the object of information activity for forecasting its state, the necessary factor is the development of a mathematical model with informative parameters of the observation process. This approach makes it possible to study the dynamics of the structure of the object when using non-destructive research, that is, it provides an assessment of the dynamics of the state of the research object and, if necessary, more detailed monitoring. The work considers the methodology of building a parametric model and the selection of physically appropriate informative parameters of this model, such as the main natural frequencies and the Q-factor of the structure of these frequencies. An analysis of the methodlogy for assessing the structure's response to external excitation of the system, such as wind, sea waves, traffic, etc., or artificially induced, for example, the object's response to an explosion, is carried out.
To create a universal model of the seismic signal, fundamental empirical studies of the seismic signal were taken into account and mathematical models were used for their approximation. The flow nature of the seismic process and the fact that the seismic signal must be a wave were also taken into account. Thus, the paper proposes a new model of the natural background of the monitoring object, which is a superposition of Berlage impulses. Such a model makes it possible to estimate such an essential parameter in the description of the object as its quality factor, the dynamics of which can give an idea of its structural changes. Seismoacoustic monitoring systems are used to predict the behavior of natural and engineering objects in order to prevent undesirable consequences of the behavior of the object under study. The mathematical model and algorithm proposed by the authors can be integrated into the system of seismoacoustic monitoring of natural and man-made objects.

Keywords: seismoacoustic monitoring, shock wave, seismic signal, mathematical model, informative parameters, quality factor, frequency