The Application of Buckley-Leverett Displacement to Waterflooding in Non-Communicating Stratified Re


By Noaman A.F. El-Khatib,.


A mathemathematical model is developed for performance prediction of waterflooding performance in stratified reservoirs using the Buckley-Leverett displacement mechanism. A modified definition of the mobility ratio is untroduced to account for the saturation variation behind the displacement front. Using this modified mobility ratio, the Dykstra-Parsons equations can be used to estimate the relative locations of the displacement fronts in different layers at the time of water breakthrough at a given layer. For layers after water breakthrough, expressions for the flow rate and water throughput are derived in terms of integral equations that are solved by iteration. The Buckley-Leverett and Welge tangent method is used to obtain the outlet and average saturations in each layer. These saturations are used to obtain the fractional oil recovery and water cut of each layer. Summation over all layers yields the performance of the total system. Expressions for the injectivity ratio are also derived.