In this paper equations of oil recovery and water-oil interface are derived for a water drive in a horizontal, cylindrical homogeneous oil reservoir by an extension of the Daalen and Domselaar's theory developed for a rectangular model. The influence of capillary forces are not taken into account. A necessary condition for the validity of the equations is that the water should underrun the oil.
Results of the cylindrical model are compared with those of the rectangular model. It is found that oil production curves of both models agree precisely when an angle between initial water-oil interface and cap rock is only 90 degrees, and that the interfaces of both models after water invasion become different shapes, respectively.