Dimensionless Pressure And Pressure Derivative Responses Of A Vertical Well Completed In A Reservoir With Inclined Impermeable External Boundaries

Abstract

The best well location for optimum oil production is achieved if the well either does not feel any external boundary, or the external boundary is felt much later in the life of the well. Dimensionless pressure and their derivatives are used to determine the time optimum oil production is possible for a well. For a vertical well located between two inclined impermeable boundaries, dimensionless
pressures and their derivatives are computed for any angle of inclination in this paper. This is achieved using dimensionless pressure and dimensionless pressure derivative of the object vertical well, using the principle of superposition. The image distances are calculated graphically. Effects of skin and wellbore storage, are considered. Dimensionless pressures and their gradients are affected by image distances from the object well. Images farther away from the object well present lower dimensionless pressures, and vice versa. For both faults sealing and n images, dimensionless pressure gradient and dimensionless pressure derivative are 1.151(n+1) per cycle and 0.5(n+1), respectively for a vertical well, at late flow dimensionless time for all inclination angles and image distances. A larger positive skin effect indicates additional resistance to flow, while lower values implied enhance productivity.