Mathematical modeling of trajectory of the maximum subsidence of points on the earth surface caused by working out of coal layers

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Authors:

N.I. Antoshchenko,Dr. Sci. (Tech.), Professor, State Higher Educational InstitutionDonbass State Technical University”, Rector, Professor of the Department of Labour Protection, Alchevsk, Ukraine

L.A. Chepurnaya,State Higher Educational InstitutionDonbass State Technical University”, Postgraduate Student, Alchevsk, Ukraine

Abstract:

Purpose. The aim of the research isusing boundary values of parameters related to terrestrial surface displacement and clearing wastes of the rated scheme for forecasting a trajectory of the maximum subsidence points on the terrestrial surface at the stage of clearing works development.

Methodology. Empirical coefficients of mathematical dependences are determined in two ways: on the basis of processing experimental data by a method of least squares and according to the rated scheme using boundary values of parameters of terrestrial surface displacement and clearing wastes. The technique aims at establishment of the equivalence of these methods and the type of mathematical dependence, most accurately describing a trajectory of the maximum subsidence points on the terrestrial surface.

Findings. The exponential equation most precisely describes a trajectory of the maximum subsidence points on the terrestrial surface. The equivalence of ways of empirical coefficients determination has been established.

Originality. On the basis of the proximity of empirical coefficients determined by different ways, it has been proved that forecasting the trajectory of the maximum subsidence points on the terrestrial surface on the basis of boundary values of parameters of terrestrial surface displacement and clearing wastes is possible.

Practical value. Determination of empirical coefficients of the mathematical equations by the offered way will allow to further avoid labor- and time-consuming direct supervisions to receive experimental data and perform their processing by the method of least squares.

References:                                     

1. Gavrilenko, Yu.N. (2011), “Forecasting of earth surface displacement in time”, Ugol Ukrainy, no. 6, pp. 45–49.

Гавриленко Ю.Н. Прогнозирование сдвижений земной поверхности во времени / Ю.Н. Гавриленко // Уголь Украины. – 2011. – №6. – С. 45–49.

2. Kulibaba, S.B., Rozhko, M.D. and Khokhlov, B.V. (2010), “Nature of development of process of earth surface displacement in time under moving breakage face”, Procedings of UkrNDMI NAN Ukraine, no.7, pp. 40–54.

Кулибаба С.Б. Характер развития процесса сдвижения земной поверхности во времени над движущимся очистным забоем / С.Б. Кулибаба, М.Д. Рожко, Б.В. Хохлов // Наукові праці УкрНДМІ НАН України – 2010. – №7. – С. 40–54.

3. Nazarenko, V.A. and Yoshchenko, N.V (2011), “Regularities of development of the maximum subsidence and surface inclinations in earth surface displacement”, National Mining University, Dnipropetrovsk.

Назаренко В.А. Закономерности развития максимальных оседаний и наклонов поверхности в мульде сдвижения / В.А. Назаренко, Н.В. Йощенко – Днепропетровск: НГУ, 2011. – 91с.

4. Chepurnaya, L.A. and Antoshchenko, N.I. (2013), “Generalized scheme of displacement earth surface before and after formation of the flat bottom trough”, Sb. scientific works of DonSTU, Alchevsk, issue 40, pp. 46–50.

Чепурная Л.А. Обобщенная схема сдвижения земной поверхности до и после образования плоского дна мульды: сб. научных трудов ДонГТУ / Л.А. Чепурная, Н.И. Антощенко – 2013. – Вып. 40. – С. 46–50.

5. Rules of undermining of buildings, constructions and natural objects during development of coal deposits by the underground method: GSTU 101.00159226.001-2003, valid since November 22, 2003, Ministry of Fuel and Energetic of Ukraine, (2003), (National standard of Ukraine).

Правила підробки будівель, споруд і природних об’єктів при видобуванні вугілля підземним способом. Видання офіційне. Мінпаливенерго України: ГСТУ 101.00159226.001-2003. – К.: 2004. – 128с. (Галузевий стандарт України).

6. Averin, G.A., Kiryazev, P.N. and Dotsenko, O.G. (2010), “Influence of lamination on subsidence of earth surface”, Ugol Ukrainy, no.10, pp. 34–35.

Аверин Г.А. Влияние слоистости на оседание земной поверхности / Г.А.Аверин, П.Н.Кирьязев, О.Г.Доценко // Уголь Украины. – 2010. – №10. –С. 34–35.

7. Borzykh, A.F. and Gorovoy, E.P. (1999), “Influence of width of the developed space on activation of displacement of carboniferous massif”, Ugol Ukrainy, no.9, pp. 26–30.

Борзых А.Ф. Влияние ширины выработанного пространства на активизацию сдвижения угленосного массива / А.Ф. Борзых, Е.П. Горовой // Уголь Украины. – 1999. – №9. – С. 26–30.

8. Babenko, E.V. (2009), “Setting of a model for modeling of seismic events of technogenic nature / E.V. Babenko”, Problemy girskogo tysku, no.17, pp. 67–93.

Бабенко Е.В. Настройка модели для моделирования сейсмических событий техногенной природы / Е.В. Бабенко // Проблеми гірського тиску, ДонНТУ. – 2009. – № 17. – С. 67–93.

9. Larchenko, V.G. (1998), “Influence of underground mining of coal layers on the state of earth surface”, Vestnik MANEB, no. 4(12), pp. 39–41.

Ларченко В.Г. Влияние подземной разработки угольных пластов на состояние земной поверхности / В.Г. Ларченко // Вестник МАНЭБ  – 1998. – № 4(12). – С. 39–41.

 

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