Математичне моделювання очищення води в біоплато-фільтрі

• Datum: 2020
• Hauptverfasser: Іванчук, Наталія Віталіївна, Мартинюк, Петро Миколайович, Филипчук, Віктор Леонідович
• Format: Artikel
• Sprache: Ukrainian
• Veröffentlicht: Kamianets-Podilskyi National Ivan Ohiienko University 2020
• Online Zugang: http://mcm-tech.kpnu.edu.ua/article/view/216488
• Назва журналу: Mathematical and computer modelling. Series: Technical sciences

Bioplato — a facility for the treatment of domestic, industrial wastewater, contaminated surface runoff. In the known structures of the bioplato there is a gradual colmatation of the pore space of the filter backfill and the bottom drainage with biofilm and mineralized sediment, the accumulation of silt in the lower part of the structure. To restore the operation of the bioplato, it is necessary to periodically stop them for complex and long-term repair and restoration works related to flushing and regeneration of the filter backfill and drainage. Therefore, it is important to forecast the operation of the bioplato at the design stage in order to make predictive calculations. It is better to do it by means of mathematical and computer modeling without conducting field experiments. In this paper, the authors constructed a mathematical model of filtration taking into account colmatation and suffusion in the bioplato-filter system in the two-dimensional case. The constructed mathematical model takes into account the physical effects of the dynamic change of porosity and the dependence of the filtration coefficient on the concentration of contaminants, which is not in the known analogues. The nonlinearity of the constructed model does not allow us to speak about the analytical solutions of the corresponding boundary value problem. Moreover, if we consider the three-dimensional problem in the future. Mathematical modeling allows to estimate the effect of the considered factors, but does not allow to reduce such negative influence. Therefore, to preserve the productivity of the bioplato, the authors proposed engineering solutions that reduce the impact of colmatation-suffusion processes on the efficiency of the bioplato-filter. Namely: in the mathematical model, the authors take into account the presence of an additional system of perforated pipes, which is located in the thickness of the filter backfill. Taking into account these factors allows to increase the adequacy of the mathematical model for the studied physical processes. Numerical solutions of the problem are found by the finite element method. Numerical experiments are planned to do in the free software environment FreeFem++.