Mathematical modelling of water exchange in public swimming pools

Abstract

The article presents information on open-air overflow swimming pools and their water exchange systems. It defines the principle of open-air swimming pool operation and shows the developed mathematical model of its water regime describing the change in concentration time of suspended solids in the pool basin water depending on the qualitative composition of the feed water (drinking or circulating water after cleaning). A number of design parameters (building volume of the pool basin, the water-surface area), technological indicators (initial concentration of suspended solids in water, feed water consumption and concentration of suspended solids), standard ratios (average number of pool users, the amount of pollution coming from one person, the maximum permissible concentration of suspended solids in the pool water), as well as meteorological conditions at the pool location (rain intensity and hours of rainfall, dustiness, and the volume of atmospheric air above the pool basin) have been analyzed as basic elements of pool operation. The article also provides information about a computer program for calculating the water regime of the pool and the results of an automated calculation of the pool performance period (in days) when the technological and regulatory parameters of its operation, designed to provide the required sanitary standards for the concentration of suspended solids in the pool basin water, change. Based on automated calculation, four alternative cases of the pool operation have been reviewed, in which the average number of pool users is used as a variable value of the standard parameter. The change dynamics of the duration (in days) of safe user stay in the pool have been determined and analyzed, indicating the need to reduce the time of its operation in proportion to the number of users, all other things being equal.