Curves for cumulative recovery of driven fluid, as a function of pore volume injected of driving fluid, are computed using a previously developed Monte Carlo simulation of two‐fluid flow through porous media at finite viscosity ratio. Both the linear channel and five‐spot geometries are examined at various grid sizes. For a range of unfavorable viscosity ratios, the trend is toward greater recovery as grid size increases, in the opposite direction to the trend at infinite unfavorable viscosity ratio, which is toward zero recovery as grid size increases.