Global sensitivity based estimability analysis for the parameter identification of Pitzer’s thermodynamic model

Ilias Bouchkira, Abderrazak M. Latifi, Lhachmi Khamar and Saad Benjelloun

Reliability Engineering and System Safety, 2021, vol. 207, issue C

Abstract: This paper deals with parameter estimability analysis and identification of the Pitzer model used in the prediction of thermodynamic properties and phase equilibria of electrolytic solutions. The estimability analysis method used is based on the orthogonalization of a sensitivity matrix to rank the unknown parameters from the most estimable to the least estimable. Although the obtained results are interesting, the algorithm shows its limits since it is based on the local sensitivities of the outputs with respect to the unknown parameters of the model and may significantly affect the reliability of the model. In this work, the algorithm is improved by computing the sensitivities by means of the method of global sensitivity analysis. For demonstration purposes, different sets of experimental measurements of sulfuric acid solutions are carried out at different temperatures and acid concentrations. They mainly consist of pH, density, conductivity and molality measurements. The improved algorithm is then applied to each of the experimental sets. The most estimable parameters are determined and identified using a branch-and-reduce optimization method and their accuracy is assessed by means of confidence intervals. Finally, the quality of the model is quantified by computing the Pearson product-moment coefficient, its high values show a very good agreement between the predictions and the measurements.

Keywords: Estimability analysis; Global sensitivity analysis; Thermodynamics; Pitzer model; Sulfuric acid solutions (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832020307626
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:207:y:2021:i:c:s0951832020307626

DOI: 10.1016/j.ress.2020.107263

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().