Diffusion and dissolution/precipitation in an open porous reactive medium

In this article 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.