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Effective relative permeabilities and saturations calculated for fractions F between 0.005 and 0.995 for injection total rates varying from 0.1 to 1000 PV/d. The calculated number N0 is shown, where high N0 corresponds to high injection rate. Each curve is based on a fixed N0, and each saturation on a given curve is obtained from one value of flow fraction. The reference (“true”) input relative permeabilities and capillary pressure curves were used and were only approximated by the effective curves at sufficiently high N0. End effects are important at low N0 and shift the saturations towards = 0.61 and reduce the effective relative permeabilities.