matrix method

Problem statement. Conventional firefighting methods expose personnel to significant risks, particularly in hazardous environments. Robotic systems, specifically manipulators for controlling fire monitors, offer a safer and more efficient alternative by enabling precise delivery of extinguishing agents. However, their effective deployment necessitates a thorough understanding of their kinematic capabilities and limitations. Purpose.

Purpose. The paper’s purpose consists in determining the source mechanism of 29.09.2017 earthquake near Stebnyk (21h46m8,4s, = 49,34˚, λ = 23,49˚, h = 1,9 км, MD = 2,9) using two methods – from polarities of first P-wave arrivals and by inversion of wave forms registered at a limited number of stations. Methodology. Seismic waves in the inhomogeneous medium represented by horizontally layered elastic structure are calculated using the matrix method.

We consider the model of a vertically inhomogeneous medium, when one or more layers are under more stress. We suggested to use the matrix method of Thomson-Haskela for solving the problem to build field movements in order to use relevant analytical relations for solving the inverse problem in respect of stress tensor and / or parameters of the source. The results of mathematical modelling are simple in utilization and can be used for interpretation of seismic records.

Purpose. In order to quantitatively estimate the dynamic effects of velocity structure under the three seismic stations of the Carpathian network spectral ratios between horizontal and vertical components of displacements on the free surface (frequency characteristics) depending only on parameters of the medium and defining its resonance properties have been calculated using the algorithm designed based on matrix method and the models constructed using the data of drilling in near surface layers. Methodology.

Purpose. In the paper, experimental spectral ratios between horizontal and vertical components of displacements from local earthquakes and noise recorded at the stations Uzhgorod, Trosnyk and Mizhgirya (frequency characteristics of the medium under the stations) are compared to synthetic ratios calculated using the velocity models built based on the data of drilling in near-surface layers; correlation between the resonance frequencies is evaluated, as well as the applicability of experimental and synthetic frequency characteristics in the regional seismological investigations. Methodology.