Diffusion and dissolution/precipitation in an open porous reactive medium

Journal of Computational and Applied Mathematics

Volumn 82, Issue 1-2, 1997, Pages 279-290

  Maisse, E ^a   Pousin, J ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Jumping nonlinearities; Phase change; Reaction diffusion; Semi linear parabolic equations and differential inclusions

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONCENTRATION (PROCESS); DISSOLUTION; FUNCTIONS; MATHEMATICAL MODELS; POROUS MATERIALS; PRECIPITATION (CHEMICAL); SATURATION (MATERIALS COMPOSITION);

DIFFERENTIAL INCLUSIONS; JUMPING NONLINEARITIES; SEMILINEAR PARABOLIC EQUATIONS;

DIFFUSION IN SOLIDS;

DIFFUSION MODEL; POROUS MEDIUM;

EID: 0031231547     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00049-6     Document Type: Article

References (10)

1. R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysis, Clarendon Press, Oxford, 1975.
2. A. Bourgeat, C. Carasso, S. Lukhaus, A. Mikelic, International Conference on Mathematical Modelling of Flows Through Porous Media, Scientific Word, 1995.
3. H. Brezis, Operateurs maximaux monotones et semi-groupes dans les espaces de Hubert, North-Holland, Amsterdam, 1973.
4. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, 1978.
5. E. Maisse, J. Pousin, Diffusion and dissolution/precipitation in a reactive porous medium: numerical approximation, in preparation.
6. P. Moszkowicz, J. Pousin, F. Sanchez, Diffusion and dissolution in a reactive porous medium: mathematical modelling, in: Computational Methods for Transport in Porous Media. Journées Numériques de Besancon, Wuerz Publishing, Manitoba, 1997, 59-88.
7. J. Pousin, P. Moszkowicz, F. Sanchez, Diffusion and dissolution: modelling of the leaching of lime and lead in a porous medium, in: Proc. 3rd Internat. Conf. on Moving Boundaries, Computational Mechanics Publications, 1996.
8. F. Sanchez, P. Moszkowicz, J. Pousin, R. Barna, Lixiviation de solides poreux: modèle de transfert de matière couplant dissolution et diffusion. Le Génie des Procédés Complexes, Récents Progrès en Génie des Procédés, vol. 9, no 42. Ed Groupe Francais de Génie des procédés. 1995.
9. C.I. Steefel, A. C. Lasaga, A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution reactions with application to reactive flows in single phase hydrothermal systems, Amer. J. Sci. 294 (1994) 529-592.
10. Tendances nouvelles en modélisation pour l'environnement. Actes des journées du programme environnement vie et sociétés du CNRS, Ed. CNRS 1996.