Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. II. Results.

We use the model described in Piri and Blunt [Phys. Rev. E 71, 026301 (2005)] to predict two- and three-phase relative permeabilities of Berea sandstone using a random network to represent the pore space. We predict measured relative permeabilities for two-phase flow in a water-wet system. We then successfully predict the steady-state oil, water, and gas three-phase relative permeabilities measured by Oak (Proceedings of the SPE/DOE Seventh Symposium on Enhanced Oil Recovery, Tulsa, OK, 1990). We also study secondary and tertiary gas injection into media of different wettability and initial oil saturation and interpret the results in terms of pore-scale displacement processes.