an:01084083
Zbl 0893.76087
Maisse, E.; Pousin, J.
Diffusion and dissolution/precipitation in an open porous reactive medium
EN
J. Comput. Appl. Math. 82, No. 1-2, 279-290 (1997).
00042560
1997
j
76R50 76S05 76V05 80A32
phase change; jumping nonlinearities; semilinear parabolic equation; differential inclusion; saturation concentration for chemical species; obstacle problem
Summary: A mathematical model is proposed for dissolution/precipitation with diffusion in a reactive open porous medium when many chemical species in solid phase can dissolve. For this purpose, the concept of saturation concentration for a chemical species in liquid phase is introduced, and the mathematical properties of the functions representing such saturation concentrations are investigated. Then the equations of dissolution/precipitation are stated and investigated in order to be reformulated as an obstacle problem. Finally, an original mathematical model is derived, and this model can be used for predictive numerical simulations.