×

zbMATH — the first resource for mathematics

Diffusion and dissolution in a reactive porous medium: Mathematical modelling and numerical simulations. (English) Zbl 0854.76092
Summary: A simple mathematical model for diffusion and dissolution in reactive porous medium is presented. The case of lime and lead in solid phase enclosed in cement matrices is considered more specifically. A numerical method based on finite difference and on a marching technique is proposed, and some numerical results are provided. In a simple case, the results obtained are compared with numerical results available in literature.

MSC:
76S05 Flows in porous media; filtration; seepage
76V05 Reaction effects in flows
76M20 Finite difference methods applied to problems in fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Buil, M.; Revertegat, E.; Olivier, J., A model of attack of pure water or undersaturated lime solutons on cement, (), 227-241, 2nd Vol., STP 1123
[2] Crank, J., The mathematics of diffusion, (1983), Clarendon Press Oxford · Zbl 0071.41401
[3] Moszkowicz, P.; Pousin, J.; Sanchez, F., Diffusion and dissolution in a reactive porous medium: mathematical modelling, Preprint no. 164, equipe d’analyse numérique Lyon saint etienne URA CNRS, 740, (1994) · Zbl 0854.76092
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.