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Abstract <p>The article considers methods of forecasting geogasodynamic phenomena in coal mines based on spectral analysis of acoustic radiation generated into an massif by a functioning working body of mining equipment. The prediction by these methods is possible due to the directly proportional dependence of the sound attenuation coefficient in a solid on the frequency and the inversely proportional dependence on the rock pressure. It is assumed that the amplitude of the signal decreases exponentially with increasing distance from the sound emitter to the seismic receiver. However, experiments have shown that the decrease in amplitude with distance does not occur monotonically. It is suggested that this is due to the interference of different types of waves generated by the source and having different propagation velocities. The results of numerical modeling of the interference of longitudinal and transverse vibrations on the amplitude of the resulting acoustic wave attenuation in a coal and rock massif as it moves away from the source are presented. According to the conditions of the problem, the sound source is represented by linear spectra of seven pairs of longitudinal and transverse waves, each of which has the same frequency and initial amplitude, and zero initial phase. The harmonic frequencies, each of which is the sum of the harmonics of the original spectrum in a window with a width of 200 Hz, have frequencies of the middle of the window of, respectively 100, 300, 500, 700, 900, 1100, and 1300 Hz. As a result of modeling, it was found that due to the different longitudinal and transverse wave velocities at some distances from the source, these oscillations come in phase; as a result, the amplitude of the oscillations is summed up, and at other distances, the oscillations come in antiphase and the resulting amplitude is the result of the difference in the amplitudes of the interfering waves. The numerical experiment confirmed the correctness of the assumption about the interference of wave types as a possible reason for the nonmonotonic decrease in the amplitude of the “noise” of the mining combine with distance from it.</p>

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On the Nonmonotonic Nature of Acoustic Radiation Attenuation in a Carbon Massif

  • 期刊论文

  • 发表日期：

    2026年6月21日

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  • A. V. Shadrin

摘要

Abstract

The article considers methods of forecasting geogasodynamic phenomena in coal mines based on spectral analysis of acoustic radiation generated into an massif by a functioning working body of mining equipment. The prediction by these methods is possible due to the directly proportional dependence of the sound attenuation coefficient in a solid on the frequency and the inversely proportional dependence on the rock pressure. It is assumed that the amplitude of the signal decreases exponentially with increasing distance from the sound emitter to the seismic receiver. However, experiments have shown that the decrease in amplitude with distance does not occur monotonically. It is suggested that this is due to the interference of different types of waves generated by the source and having different propagation velocities. The results of numerical modeling of the interference of longitudinal and transverse vibrations on the amplitude of the resulting acoustic wave attenuation in a coal and rock massif as it moves away from the source are presented. According to the conditions of the problem, the sound source is represented by linear spectra of seven pairs of longitudinal and transverse waves, each of which has the same frequency and initial amplitude, and zero initial phase. The harmonic frequencies, each of which is the sum of the harmonics of the original spectrum in a window with a width of 200 Hz, have frequencies of the middle of the window of, respectively 100, 300, 500, 700, 900, 1100, and 1300 Hz. As a result of modeling, it was found that due to the different longitudinal and transverse wave velocities at some distances from the source, these oscillations come in phase; as a result, the amplitude of the oscillations is summed up, and at other distances, the oscillations come in antiphase and the resulting amplitude is the result of the difference in the amplitudes of the interfering waves. The numerical experiment confirmed the correctness of the assumption about the interference of wave types as a possible reason for the nonmonotonic decrease in the amplitude of the “noise” of the mining combine with distance from it.