Modeling wells in porous media flows

Pierre Fabrie (1) , Thierry Gallouët (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

In this paper, we prove the existence of weak solutions for mathematical models of miscible and immiscible flows through porous medium. An important difficulty comes from the modelization of the wells, which does not allow us to use classical variational formulations of the equations.

Mots clés: nonlinear parabolic equation; porous media; existence of solutions; measure data

Domaines: Analyse classique [math.CA]

Pierre Fabrie, Thierry Gallouët. Modeling wells in porous media flows. Mathematical Models and Methods in Applied Sciences, 2000, volume 10, numero 5, pp.673-709. ⟨hal-00003333⟩