This article presents a level-set method to investigate two-phase drainage of oil by water in microchannel with numerous blockages in the middle section, mimicking a porous medium of different permeability at the pore-scale level. The presented framework is intended for gaining an understanding of the nature of flow and transport at the pore-scale level. In particular, the sweeping efficiency for the drainage process is parametrically studied for system with different viscosities and surface tension.

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