PREDICTION OF THE CONCENTRATION OF METHANE IN THE MINE ATMOSPHERE BY APPROXIMATIONFRACTAL BROWNIAN MOTION

Vladimir Slesarev¹, Alex Mirgorodskiy², V. Margetich³

¹Doctor of technical Sciences, Professor, Head of system analysis and management Department, State Higher Educational Institution "National mining University", Dnepropetrovsk, Ukraine, e-mail: SlesarevV@nmu.org.ua

²Postgraduate student of the Department of system analysis and control, State Higher Educational Institution "National mining University", Dnepropetrovsk, Ukraine, e-mail: mir219292@gmail.com

³Student of group СА – 11 – 1/2, State Higher Educational Institution "National mining University", Dnepropetrovsk, Ukraine, e-mail: victormargitich@gmail.com

Abstract. The paper presents a theoretical study on extrapolation of time series measurements of methane concentration in the underground workings of mines by random variables, the corresponding fractal Brownian motion with the aim of building the optimal forecast for time sequence that due to the reversibility of transformations, leads to the prediction of the original time series.

Keywords: methane concentration, time sequence, extrapolation, forecasting.