Effect of the interlayer connectivity of nonuniform reservoirs on the volume of the residual oil pillars

The limiting-equilibrium pillars of residual oil with an initial pressure gradient are calculated for reservoirs of the layer cake type whose nonuniformity conforms to a random (Pearson) distribution. It is assumed that hydrodynamically in the direction of stratification the layers are completeiy disconnected. A parametric investigation of the volume of the pillars is carried out for two problems (fivepoint area flooding scheme and a single well in a circular reservoir) and the results are compared with those for reservoirs with ideal interlayer connectivity.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5. pp. 184–186, September–October, 1989.