The work of predominant majority of filters in technological schemes of water treatment is based on alternation of two processes, filtering and washing. The presence of multi-component impurities in washing waters has a negative impact on the processes of their treatment and leads to a significant deterioration of the waste effluent quality. The solution of the problem is achieved by separating the contamination of washing water at a phase-dispersed state reducing the concentration of ferruginous compounds and bringing their concentration in washing waters to a level that is acceptable to discharging into waste water treatment facilities or reservoirs. Developed a mathematical model of the process of the liquid treating from multi-component contaminations, which takes into account the interaction of hydrodynamic parameters, change of hydraulic properties of the medium, initial and boundary conditions of modelling problem of the beds regeneration taking into account the appropriate values of the concentrations of contamination in the liquid and deposit, the reverse effect on the filtration components, in particular, to the porosity and the coefficient of the separated deposit particles.
Determined the time of the protective action of the filter media bed and the time of its regeneration, taking into account the values of the concentrations of contaminations in the water submitted for purification, the filters media bed height and the speed of the washing water movement.
modelling of deferrization of water, water treatment, filtration, polystyrene, regeneration
 Orlov V, Martynov S, Kunytsky S. (2016). Water deferrization in polystyrene foam filters with sediment layer. LAP LAMBERT Academic Publishin. Germany, Saarbrücken, 104.
 Liefferink SL, van Eeden ES, Wepener V. (2017). Past, present and future use of municipal water and freshwater resources of the Bekkersdal Community, Westonaria, South Africa. Journal of Sustainable Development of Energy, Water and Environment Systems 5(3): 430-446. http://dx.doi.org/10.13044/j.sdewes.d5.0155
 Hanslík E, Marešová D, Juranová E, Vlnas R. (2016). Dependence of selected water quality parameters on flow rates at river sites in the Czech Republic. Journal of Sustainable Development of Energy, Water and Environment Systems 4(2): 127-140. http://dx.doi.org/10.13044/j.sdewes.2016.04.0011
 Orlov V, Martynov S, Kunitskiy S. (2016). Energy saving in water treatment technologies with polystyrene foam filters. Journal of Water and Land Development. PAN in Warsaw 31: 119–122. https://doi.org/10.1515/jwld-2016-0042
 Voltz TJ, Grischek T, Spitzner M, Kemnitz J, Irmscher R. (2014). Raising energy efficiency of high-head drinking water pumping schemes in hilly india – massive potential, complex challenges. Journal of Sustainable Development of Energy, Water 2(2): 118-126. http://dx.doi.org/10.13044/j.sdewes.2014.02.0011
 Polomčić D, Bajić D, Zarić J. (2015). Determining the groundwater balance and radius of influence using hydrodynamic modeling: case study of the groundwater source šumice in Serbia. Journal of Sustainable Development of Energy, Water and Environment Systems 3(3): 217-229. http://dx.doi.org/10.13044/j.sdewes.2015.03.0017
 Bomba A, Safonyk A, Fursachik E. (2013). Identification of mass transfer distribution factor and its account for magnetic filtration process modeling. Journal of Automation and Information Sciences 45(4): 16-22. https://doi.org/10.1615/JAutomatInfScien.v45.i4.20
 Żurek A. (2014). Environmental flow as an area of potential conflict between the role of groundwater in the supply and its environmental function. Acta Scientiarum Polonorum 13(4): 301–314. https://doi.org/10.15576/ASP.FC/2014.13.4.301
 McNamara G, Fitzsimons L, Horrigan M, Phelan T, Delaure Y, Corcoran B, Doherty E, Clifford E. (2016). Life cycle assessment of wastewater treatment plants in ireland. Journal of Sustainable Development of Energy, Water and Environment Systems 4(3): 216-233. http://dx.doi.org/10.13044/j.sdewes.2016.04.0018
 Martynov S, Kunitskiy S, Orlova A. (2017). A Simulation study of surface water purifying through a polystyrene foam filter. Eastern European Journal of Enterprise Technologies 5(10): 19-26. https://doi.org/10.15587/1729-4061.2017.109841
 Qin ZH, Pletcher RH. (2015). A statistical model of pressure drop increase with deposition in granular filters. Advanced Powder Technology 26: 49–55. https://doi.org/10.1016/j.apt.2014.08.003
 Hvala N, Vrečko D, Levstek M, Bordon C. (2017). The use of dynamic mathematical models for improving the designs of upgraded wastewater treatment plants. Journal of Sustainable Development of Energy, Water and Environment Systems 5(1): 15-31. http://dx.doi.org/10.13044/j.sdewes.d5.0130
 Orlov V, Safonyk A, Martynov S, Kunytskyi S. (2016). Simulation the process of iron removal the underground water by polystyrene foam filters. International Journal of Pure and Applied Mathematics 9: 881–888. https://doi.org/10.12732/ijpam.v109i4.11
 Hokari T, Iwatsuki T, Kunimaru T. (2014). Estimation of in-situ groundwater conditions based on geochemical equilibrium simulations. Journal of Sustainable Development of Energy, Water and Environment Systems 2(1): 15-29. http://dx.doi.org/10.13044/j.sdewes.2014.02.0002
 Ivanchuk N, Martynyuk P, Tsvetkova T, Michuta O. (2017). Mathematical modeling and computer simulation of the filtration processes in earth dams. Eastern-Еuropean Journal of Enterprise Technology 2(6): 63–69.
 Rokochinskiy A, Volk P, Pinchuk O, Mendus S, Koptyuk R. (2017). Comparative evaluation of various approaches to the foundation of parameters of agricultural drainage. Journal of Water and Land Development (34): 215–220. https://doi.org/10.1515/jwld-2017-0056
 Pérez-Vidal А, Diaz-Gómez J, Castellanos-Rozo J, Usaquen-Perilla OL. (2016). Long-term evaluation of the performance of four point-of-use water filters. Water Research. 98: 176–182. https://doi.org/10.1016/j.watres.2016.04.016
 Mendoza Orbegoso EM, Villar-Yacila P, Marcelo D, Oquelis J. (2017). Improvements in thermal performance of mango hot-water treatment equipments: data analysis, mathematical modelling and numerical-computational simulation. Journal of Sustainable Development of Energy, Water and Environment Systems 5(2): 219-239. http://dx.doi.org/10.13044/j.sdewes.d5.0145
 Fylypchuk V, Induchny S, Pearse P, Fylypchuk L, Martynov S. (2017). Application of expanded polystyrene filter for tertiary treatment of domestic waste effluent in the UK. Journal of Water and Land Development 35 (X-XII): 41-47. http://dx.doi.org/10.1515/jwld-2017-0066
 Ya A. (2018). Bomba. Mathematical simulation of the process of aerobic treatment of wastewater under conditions of diffusion and mass transfer perturbations. Journal of Engineering Physics and Thermophysics 91(2): 318-323. https://doi.org/10.1007/s10891-018-1751-x
 Safonyk AP. (2018). Modelling the filtration processes of liquids from multicomponent contamination in the conditions of authentication of mass transfer coefficient. International Journal of Mathematical Models and Methods in Applied Sciences 12: 67-72.
 Bomba A. (2016) Mathematical modeling of wastewater treatment from multicomponent pollution by using microporous particles. AIP Conf. Proc. 1773, 040003. http://dx.doi.org/10.1063/1.4964966
 Safonyk AP, Klepach MI, Targoniy IM. (2017). Research and automation of biological reactors of effluent with the oxygen concentration control. Radio Electronics, Computer Science, Control 3: 192-197. https://doi.org/10.15588/1607-3274-2017-3-21