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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.

76S05 Flows in porous media; filtration; seepage
76V05 Reaction effects in flows
76M20 Finite difference methods applied to problems in fluid mechanics
Full Text: DOI
[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
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