Proposta de modelo matemático e estimativa de parâmetros cinéticos da lixiviação da lama vermelha através de técnicas bayesianas

Abstract

Red mud, a residue from the alumina production industry, is obtained during bauxite processing through the Bayer process. Because it is generated in large quantities and has many oxides of industrial interest, the kinetics of red mud leaching have become the object of study by many researchers. This work proposes the mathematical model and the estimation of the kinetic parameters of the leaching of the red mud, using the Markov Chain Monte Carlo method with the Metropolis-Hastings algorithm. To estimate the parameters, actual data were used, obtained from different experiments involving red mud leaching with sulfuric acid. Based on the shrinking core model, a mathematical model was proposed, in terms of a system of coupled differential equations, aiming to represent the kinetics of the waste leaching. The proposed mathematical model was validated by reproducing experimental data and the use of Bayesian statistics was adequate.