Estimation of relative permeabilities in three-phase flow in porous media

Guy Chavent (1) , Jérôme Jaffré (1) , Sophie Jan (2)

1 ESTIME - Parameter estimation and modeling in heterogeneous media
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Three-phase flow in porous media is modelled as a system of two nonlinear partial differential equations where the nonlinearities depend on the relative permeability functions. We show how the three relative permeabilities can be estimated as functions of two variables from data obtained in laboratory experiments.

Domaines: Optimisation et contrôle [math.OC]

Guy Chavent, Jérôme Jaffré, Sophie Jan. Estimation of relative permeabilities in three-phase flow in porous media. Inverse Problems, 1999, pp.33-39. ⟨10.1088/0266-5611/15/1/007⟩. ⟨hal-00955222⟩