Practical identifiability analysis in dynamic gas–liquid reactors

• Published in: Computers & chemical engineering 2008-10, Vol.32 (10), p.2382-2394
• Main Authors: Navarro-Laboulais, J., Cardona, S.C., Torregrosa, J.I., Abad, A., López, F.
• Format: Article
• Language: English
• Subjects: Fisher information matrix; Gas–liquid mass-transfer coefficient; Practical identifiability; Structural identifiability
• ISSN: 0098-1354; 1873-4375
• DOI: 10.1016/j.compchemeng.2007.12.004

A dynamic gas–liquid transfer model without chemical reaction based on the unsteady film theory is analysed in order to confirm the possible identifiable parameters of the model from a given set of experimental data. The structural identifiability analysis of the model using the macroscopic concentrations at the gas and liquid phase shows that the identifiable parameters of the model are the gas hold-up, ɛ, the Henry's constant, H, the reciprocal of the diffusion time, D/ δ 2, and the volumetric mass-transfer coefficient, k L a. A procedure for the optimal experimental design is proposed based on the analysis of the Fisher information matrix of the model. The analysis concludes that the measure of the dynamics of the concentration just in the liquid phase leads to important systematic errors in the determination of k L a. The importance of the concentration measurement simultaneously in the gas and the liquid phase for the parameter estimation is demonstrated and discussed.