We are currently trying to match the simulation results with real experiments measured with CT scans. The animation bellow shows a simulation of the water saturation (S1) distribution along a cylindrical core as CO2 is injected at its top.
Bellow is a famous numerical test to verify the conservation of mass properties of a numerical simulation. We have a core with impermeable boundary conditions initially with water in the top and CO2 at the bottom. When the simulation starts the CO2 tends to go up while the water goes down in the core due to the density differences between the phases. The total amount of water and CO2 in the core should not change. In that simulation the change of mass in the core is of the order of 1.e-12.
A 2D slab of the CO2 injection illustrating the excellent properties of the Finite Volume method Kurganov-Tadmor with very low numerical diffusion.
An animation of the CO2 mixture front in the reservoir. First animation in blue is the injection of water in Oil with a background current, (ignoring gravity). The second is an animation of injection of CO2