Application of regularization to the identification of the mathematical model of the degradation of phenolic compounds in industrial wastewater technology Advanced oxidation processes

For effective management of wastewater treatment process industrial enterprises of phenolic compounds on the basis of advanced oxidation processes proposed exponential model to reduce the concentration of phenolic compounds (for example, Bisphenol-A) under the action of physical and chemical factors (UV radiation, λ = 365 nm, H2O2, Fe3+). Model identified in the Statistica software environments and MathCad based on the method of least squares and is statistically significant results of the experiment carried out on the basis of optimal planning. For stabilization of unstable parameters of the model, the method of regularization A.N. Tikhonov. The resulting regularized model establishing the degree of photochemical degradation of phenolic compounds in the aquatic environment of the process parameters is statistically significant and has the best forward-looking features than the original relationship, identified by the method of least squares. The statistical significance of a regularized model was determined using Fisher’s F-test, t-Student’s t test and 95% confidence intervals for the regularized model parameters. The coefficient of determination, R2 = 0,9995, shows that the variation of physical and chemical factors in the application of regularization to explain 99,95% of the variation of concentration of phenolic compounds (BPA). The significance of the coefficient of determination is confirmed with 99% probability by the Fisher test. Model photochemical decomposition of phenolic compounds in an aqueous medium, obtained by applying the regularization method may provide more stable levels of predicted values of phenolic compounds in industrial waste water.