COMPUTER MODELING AND FORECASTING OF CLOGGING DYNAMICS IN THE BIO-PLATEAU FILTER BASED ON A FILTER PROFILE LAYOUT
Abstract
A mathematical model of the clogging of the porous backfill of the bio-plateau filter in the process of water purification was developed based on the profile filtration scheme, which takes into account the removal of part of the water from the bulk of the bio-plateau filter backfill. According to the assumption, the proposed technical improvement would help the stability of the bio-plateau filter during a longer period of operation. The assumption was validated by a numerical experiment. The authors took into account the degree of the clogging of the pore space of filter backfill and bottom drainage with mineralized sediment and the accumulation of silt in the bottom part of the bio-plateau filter. These processes reduce the supply of oxygen to the root system of plants which can lead to a decrease in the efficiency of the structures, peptization of sediment, and secondary water pollution. The numerical solution of the developed mathematical model in the form of a nonlinear boundary value problem was found using the finite element method. Based on the developed algorithms, a software package was created for forecasting by means of numerical experiments in the FreeFem++ freeware. Numerical experiments and their analysis were performed. Specifically, it was shown that with the presence of a system of perforated pipes for partial drainage of water from the middle part of the bio-plateau, the maximum relative difference in filtration rates reaches 5% after a year (while without such an additional pipe system, this difference is 25% in half a year). Proposing an internal system of perforated pipes, the predicted productivity of the bio-plateau should be increased. This allows us to assert that the adequacy of the improved mathematical model to the investigated physical processes is increased and thereby to reduce the negative impact of clogging on the filtration processes in the bio-plateau filter system.