ABSTRACT

When the performance of a horizontal wells are optimized, they are more productive than vertical wells. For a completely bounded oil reservoir, the borders of the oil reservoir have no effect once the well is placed into production reaches one of the vertical or horizontal limits of into the approximation of the pressure distribution. In this study, we explore the aforementioned scenarios and offer a thorough mathematical model that can be utilized to approximate the pressure distribution for a horizontal surface in a short amount of time (early time linear flow), Using the appropriate Green's and source functions. All of these in the context of horizontal anisotropic permeability, the pressure response is influenced by the reservoir's width and length. The generated models can be used to approximate and assess horizontal well pressure distributions during oil reservoir geometry and directional permeability. It was discovered that dimensionless pressure and dimensionless length have an inverse relationship, while pressure increases with thickness. In addition, a high vertical permeability reduces the effect's length of the horizontal well's early radial flow period, resulting in increased productivity of the index. Furthermore, it was discovered that the closer the well is to the upper or lower boundary the higher output potential there would be of the horizontal well.