Modeling Total Organic Carbon Variation in a Photocatalytic Process via Stochastic Differential Equations

Comparative Study of Data Analysis Techniques for Photo-Fenton Degradation of Landfill Leachate

“…The stochastic differential equation used in this study is presented below (eq ). , The first part of the equation refers to the variation in TOC with long reaction times, and the second part represents the stochastic nature of the dispersion. where a , b , c , k , and p are model parameters that depend on experimental conditions and X t is the TOC conversion at time t (min). Parameter a represents the reaction plateau slope (observed after the initial rapid TOC conversion), parameter b is the average baseline TOC conversion value at which the plateau begins, parameter c is the dispersion of experimental data, parameter p is related to the correlation of experimental data, and parameter k is related to the time taken to reach the reaction plateau (eq ).…”

“…Parameter a represents the reaction plateau slope (observed after the initial rapid TOC conversion), parameter b is the average baseline TOC conversion value at which the plateau begins, parameter c is the dispersion of experimental data, parameter p is related to the correlation of experimental data, and parameter k is related to the time taken to reach the reaction plateau (eq ). A geometric explanation of these parameters is given using eq …”

“…In studies on leachate treatment by AOPs, it was found that stochastic modeling allowed using all experimental data, contributing to a broader understanding of the degradation process and favoring optimization. − Two distinct phases of the oxidation process were identified, a first phase occurring very rapidly and a second phase occurring at a slower rate. Analysis of this dual behavior is important, given that changes in reaction conditions, such as reagent feed flow rates, may influence the process, possibly precluding radical oxidant consumption or resulting in low oxidation of carbonaceous compounds …”

“…This study is aimed to compare the empirical model proposed by Siqueira and collaborators with two approaches for the investigation of leachate degradation. , The first approach is a kinetic model developed by Izário Filho et al and applied by Izário Filho et al It is based on the main kinetic equations found in the literature for AOPs and was successfully applied in the study of photo-Fenton degradation of undiluted industrial wastewater. The second approach, design of experiments (DoE), is commonly used for the evaluation of degradation processes.…”

Estudo Do Processo De Degradação Do Lixiviado via Ozonização Catalítica via Equação Estocástica

“…Aplicando a técnica proposta por (SIQUEIRA et al, 2013, SIQUEIRA et al, 2016 é possível obter a Equação 4 para o parâmetro a: Considerando as informações dos parâmetros a e b, do valor médio de k que foi de 0,58, possibilitando fazer uma estimativa para a conversão após 60 minutos nas condições do experimento teste. Este valor calculado através da Equação 6 foi de 0,64, considerando a margem de erro do modelo entre 0,52 e 0,83.…”