Solution construction for a drainage process for a system modeling the foam flow with linear surfactant adsorption
Palavras-chave:
Foam flow, Surfactant flooding, STARS model, Linear adsorption, EORResumo
In this work, we present an analytical solution for a drainage process of a system of non-strictly hyperbolic
Conservation Laws describing the foam flow in porous media under effect of linear adsorption of surfactant. We
adopt a system composed of two differential equations, one modeling the conservation of saturation of the wetting
phase and the other the conservation of chemical in the wetting phase with linear surfactant adsorption.
The foam flow dynamic is assumed to follow the implicit texture STARS model. In this model, the foam
texture assumes local equilibrium, meaning that the foam formation rapidly attains a state where the bubbles
generation rate matches the coalescence rate. We present a geometrical construction of the analytical solution and
compare our results with a direct numerical simulation.
