A Problem in Petroleum Reservoir Simulation

Abstract

The problem posed was to find an exact solution to the equations governing two-phase petroleum reservoirs that could be used to validate the numerical code used by the Computer Modeling Group in its simulations. Ideally, the analysis would result in an exact solution to the coupled system of equations for a specific rectangular geometry. It was soon realized that this was a hopeless task, so the group set out to find compromises that would still provide useful validation examples.