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This paper presents two-phase relative permeability curves for drainage and imbibition measured by the displacement method for (1) excess water-microemulsion, and (2) excess oil-microemulsion, The results show that the relative permeability curves are process dependent, even at the low interfacial tension of 0.1 mN/m for microemulsion-water, and 0.005 mN /m for microemulsion-oil.