Analysis and comprehensive evaluation of gas-dynamic processes in coal mines using the methods of the theory of probability and math statistics analysis

Introduction. The article discusses the technical distribution system of gas-dynamic and aero-dynamic processes in coal mines, characterized by: the uniqueness of modes, linearity, dynamism, variability of parameters and variable operating conditions. An analysis and a comprehensive assessment of gas-dynamic and aero-dynamic processes in coal mines is being carried out. Research tasks: to develop a methodology for the analysis and comprehensive assessment of gas-dynamic and aerodynamic processes in coal mines using the methods of mathematical statistics and probability theory. Research objectives. Conduct an analysis of gas-dynamic and aero-dynamic processes in coal mines. Results of the research. The dynamic properties of ventilation objects in normal operation can be described by integrodifferential equations. Analysis and evaluation of experimental data on the distribution of gas-dynamic and aerodynamic processes confirmed that the technical air supply system for coal mines is a dynamic link with an inverted effect. The developed methodology for the analysis and comprehensive assessment of gas-dynamic and aerodynamic processes in coal mines using the methods of mathematical statistics and probability theory made it possible to obtain a generalized expression for the transfer functions of ventilation objects, taking into account the delay, and to describe the dynamic properties of mining sites under various ventilation modes. It has been experimentally established that the linearized dynamic characteristics of mining sites in the ventilation mode, when the transient gas-dynamic process has the form of a «burst» of methane concentration, can be described by integro-differential equations.