Abstract
In this paper we consider water-drive to recover oil from a strongly heterogeneous porous column The two-phase model uses Corey relative permeabilities and Brooks-Corey capillary pressure. The heterogeneities are perpendicular to flow and have a periodic structure. This results in one-dimensional flow and a space periodic absolute permeability, reflecting alternating coarse and fine layers. Assuming many — or thin — layers, we use homogenization techniques to derive the effective transport equations. The form of these equations depend critically on the capillary number. The analysis is confirmed by numerical experiments. This paper summarises the results obtained in [10]KeywordsPorous MediumCapillary PressureRelative PermeabilityCapillary NumberAuxiliary ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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