2023/12/06 by Rodriguez Bermudez, Panters
paper · doi:10.24352/ub.ovgu-2023-060
In this article we use a simplified model for vertical three-phase flow in porous media of immiscible fluids like water, oil and supercritical-CO2. The relative permeability functions of oil and CO2 phases are assumed to be linear functions of the respective saturations while the relative permeability of the water phase is a quadratic function of water saturation. For vertical flow (gravity taken into account) and fluids having small density differences, the model intend to represent the case in which phases supercritical-CO2 and oil are inclined to miscibility when water phase is absent for certain temperature and pressure conditions, while the flow gains some immiscibility properties as the water phase becomes present. This model leads to a 2x2 system of conservation laws which loose strict hyperbolicity at three isolated coincidence points at the edges of the saturation triangle. We use the wave curve method to solve a class of Riemann Problem.