The work contains theoretical and practical approaches to various methods of numerical analysis and mathematical modeling, allowing to form the most holistic and comprehensive approach to solving problems associated with filtration. The topic of this work is extremely important since at the moment there is significant damage to the environment due to a lack of approach to filtration issues. Within the framework of this model, factors such as the variability of the filtration rate, the rate of change in the concentration of the suspension, as well as the formation of a sedimentary layer on the surface. All related calculations were performed on a computer. The calculations used to make it possible to determine those key parameters and variables that have the greatest impact on the filter performance, as well as its deterioration. The proposed methods have passed a full range of checks and are sufficiently effective for their full implementation.

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