
FORECASTING THE GROUNDWATER TREATMENT PROCESS IN A BIOREACTOR USING FERROBACTERIA
Author(s) -
Alexander Kvartenko,
Igor Prysіazhnіuk
Publication year - 2021
Publication title -
problemi vodopostačannâ, vodovìdvedennâ ta gìdravlìki
Language(s) - English
Resource type - Journals
ISSN - 2524-0021
DOI - 10.32347/2524-0021.2021.37.22-28
Subject(s) - bioreactor , groundwater , matrix (chemical analysis) , work (physics) , nonlinear system , mathematical model , aeration , process engineering , process (computing) , filtration (mathematics) , environmental science , biochemical engineering , computer science , biological system , mathematics , chemistry , engineering , mechanical engineering , waste management , geotechnical engineering , physics , chromatography , statistics , organic chemistry , quantum mechanics , biology , operating system
The monitoring of water quality parameters in 90 settlements of eight regions of Ukraine made it possible to state that groundwater is a complex multicomponent system. Existing deironing stations using simplified aeration-filtration technology are not able to remove Fe (II) compounds from water in the presence of humic complexes. Therefore, in modern conditions, the urgent task is to intensify their work through the introduction of new technologies, including biotechnology with the development of appropriate mathematical models. It is shown that much less attention was paid to modeling the kinetics of groundwater treatment processes in bioreactors than to traditional physicochemical methods, for which modern mathematical models were developed.
The aim of the work is to develop a mathematical model of the kinetics of the process of groundwater treatment in bioreactors. The mathematical model is represented by the Cauchy problem for a nonlinear system of differential equations in partial derivatives of the first order. The system of the Cauchy problem consists of five equations with five unknown functions, which describe the distribution the concentration of ferrum cations, bacteria and the matrix structures in two phases (movable and immobilized) both in space and time. The inverse influence of the characteristics of the process, in particular, the concentration of matrix structures in the inter-pore space, as well as characteristics of the medium with the help of coefficients of mass exchange and porosity, were taken into account. The model allows determining the optimum operation time of a bioreactor between washings