Abstract
This paper presents a discussion on the validity of approximating a two-dimensional cross sectional reservoir model by a one-dimensional linear model using two kinds of pseudo relative permeability curves. The study assumes the negligibility of gravity and capillary effects as compared with the viscous force effect. Also investigated are effects of (1) injection rate and (2) the size of a reservoir on the degree of the agreement among the calculated results. Producing water cut performance versus cumulative oil production, which are calculated by the one-dimensional simulation using pseudo functions, are compared with those computed by the two-dimensional simulation. Consequently, some insights are obtained as to the relation between the size of a reservoir and the degree of crossflow. The validity of approximating cross sectional reservoir simulation by one-dimensional simulation suggests possible manipulation of three-dimensional simulation by using a two-dimensional areal simulation model, which could reduce data preparation time and computation cost. Finally, the present method applied to a real reservoir demonstrates that a one-dimensional linear model using dynamic pseudo relative permeability curves can well approximate the water cut performance of the two-dimensional cross sectional simulation.
