Mathematical model of seismoacoustic monitoring of blast fields for remote reconnaissance

DOI: 10.31673/2412-9070.2025.051359

Abstract

This article discusses the construction of a mathematical model of seismoacoustic monitoring of explosion fields for remote exploration. As is known, seismoacoustic monitoring of blast fields is used for remote sensing and is a set of routine observations, whereby the mode of the observations themselves and the spectral parameters of the object under study depend on the research task at hand. As shown in the article, the reliability of explosive signal classification is improved through the use of remote sensing information technologies based on seismoacoustic monitoring. To achieve the research goal, it is necessary to construct a mathematical model of a continuous explosive field signal that would reflect the most important aspects of the explosive field signal monitoring process. In the process of constructing such a model, it is necessary to take into account both the parameters describing the process itself and the parameters of interference and natural background noise, as well as the characteristics of the transmission function of the medium.
To monitor explosive fields, it is necessary to collect statistical data for various explosive field signals and transfer functions of the media in which the signal propagates. This will provide a priori information about both the explosive field at the study points and the explosive field signals themselves, which will significantly reduce its impact on the evaluation of the studied explosive field signal. The work takes into account the influence of the instability of the parameters of the studied process and optimizes the procedure for processing the observed data according to criteria that take into account the characteristics of natural background interference. It is shown that the process of monitoring explosive fields boils down to the evaluation of informative parameters of parametric mathematical models of individual and continuous signals of the explosive field, the superposition of which forms the explosive field itself. The set of all informative parameters of each signal of the explosive field forms a vector of these parameters in n-dimensional Euclidean space. The optimal estimation of signal parameters involves determining the vector of free parameters that minimizes the value of the consistency criterion between the model and the observation data. Such a model provides good consistency in the case of modeling a linear system of oscillatory objects and, thus, takes into account the oscillatory nature of explosive signals. Thus, the article presents a new mathematical model of the explosive seismic field, which takes into account different types of signals in the explosive field, and provides a mathematical apparatus for solving this model. To assess the adequacy of the model for non-separable signals in the explosive field, simulation modeling of non-separable signals was carried out within the framework of an improved seismoacoustic monitoring methodology based on seismoacoustic analysis.

Keywords: seismoacoustic monitoring; parametric mathematical model; seismoacoustic analysis; explosive fields; seismoacoustic signal; seismoacoustic signal model.