Mathematical models of changes in hydro-geological conditions of territories adjacent to tailing ponds of discharged mine water

  • G. P. Evgrashkina Oles Gonchar Dnipropetrovsk National University,
Keywords: migration, filtration, mathematical model, double superposition principle, unregulated macro-dispersion


Coal mining in the Western Donbas is conducted along with intense water drainage. Mine water has heightened mineralization and accumulates in tailing ponds, which were built without barriers screening the water-containing rocks. The negative consequence of their usage is contamination of water-bearing horizons along the vertical and in the top view.  One of the relevant problems of the region is to elaborate a scientifically grounded plan for taking a complex of hydro-geological nature protection measures for preventing the flooding of the areas adjacent to the ponds, heightening of the ground water mineralization and secondary salinization of the soils and the rocks of the aeration zone as a result of first two factors. A scientific basis for overcoming these problems is solving multi-variant prognosis tasks for the zone of full water saturation as a result of the filtration process and mass transfer on the proposed mathematical model. Its structural principles are stated in this article on the example of a tailing pond Balka Taranova. The mathematical model of changes in the hydro-geological conditions of the territory adjacent to the pond consists of two parts – filtration and migration parts, arranged using a flow network. For a clear choice of a flow network of the filtration part and the type of differential equation which describes the process of change in the ground water level in the studied territory, the first stage of the modelling solves the inductive hydro-geological task using Laplace`s equation, Poisson`s equation and two modifications of Fourier transforms. The second part, heat transfer, also starts with selection of the optimum migration scheme by comparing the results of calculations with the regime observations. Along with the regime observations, inversion and epignosis tasks are solved. The final stage is direct prognosis of multi-variant tasks, their analysis and recommendations for nature protection.  

Author Biography

G. P. Evgrashkina, Oles Gonchar Dnipropetrovsk National University,
Oles Gonchar Dnipropetrovsk National University, Dr., prof.


Brenner, H., 1978. The diffusion model of longitudinal mixing in beds of finite length. Chem. Eng. Sci., 17(4), 229–243.
Mironenko, V.A., 1993. O koncepcii gosudarstvennogo gidrogeologicheskogo monitoring [About the state of concept hydrological monitoring]. Geoecology 1, 19–29 (in Russian).
Samarskij, A.A., 1977. Teorija rasnostnyh shem [The theory of difference schemes]. Moscow: Nauka.
Shestakov, V.M., 1979. Dinamika podzemnyh vod [The dynamics of groundwater]. Moscow: (in Russian).
Yevgrashkina, G.P., 2003. Prud-nakopitel sbrosnyh shahtnyh vod «Svidovok» v Zapadnom Donbasse i ego jekologicheskie problem [The storage pond waste mine waters “Svidovok” in the Western Donbass and its environmental problems]. Ekologia dovkilla ta bezpeka zhyttjedijalʾnosti. 5, 48–53 (in Ukrainian).
Yevgrashkina, G.P., 2003. Vlijanie gornodobyvajushei promyshlennosti na gidrologicheskie pochvenno-meliorativnye uslovia territorij [The impact of mining industry on hydrological and soil-reclamation condinions and territories]. Dnepropetrovsk: Monolit (in Russian).
How to Cite
Evgrashkina, G. (2017). Mathematical models of changes in hydro-geological conditions of territories adjacent to tailing ponds of discharged mine water. Journal of Geology, Geography and Geoecology, 25(1), 12-18.