| Flow through petroleum reservoirs is always nonuniform at some length scale due to the heterogeneous nature of porous media. Enhanced oil recovery processes also have nonuniform flow effects that arise from the difference in fluid properties between the displacing (injected) fluid and the reservoir fluid. Therefore, design and implementation of a reservoir displacement requires an understanding of the effects of nonuniform flow. This work examines the impact of nonuniform flow on displacement processes that involve transfer of components between phases. Specific applications are restricted to displacement of oil by carbon dioxide (CO;In this work, we consider a model problem of flow in a two layer reservoir, where the nonuniformity of the flow results from the difference in layer permeabilities, and exchange of fluid between layers is by viscous crossflow. Applying the principle of conservation of mass to each component yields a system of coupled hyperbolic partial differential equations. This system of equations is solved analytically by the method of characteristics and numerically by finite difference approximation.;Displacement by pure CO... |
