Seawater intrusion problem in a free aquifer : Derivation of a sharp--diffuse interfaces model and existence result
Catherine Choquet, Moussa Mory Diédhiou, Carole Rosier · HAL (Le Centre pour la Communication Scientifique Directe) · 2014
We derive a new model for seawater intrusion phenomenons in free aquifers. It combines the efficiency of the sharp interface approach with the physical realism of the diffuse interface one. The three-dimensional problem is reduced to a two-dimensional model involving a strongly coupled system of pdes of parabolic type describing the evolution of the depths of the two free surfaces.