Petroleum engineers are desperately needed to maintain sustained clean oil production for a long time without running into flow restrictions caused by external boundaries. These boundaries could take the shape of sealing faults, which are the most frequent in real-world situations, constant-pressure boundaries, or other reservoir heterogeneities, such as fractures, layers, and lateral discontinuities, to name a few. This study aims to examine the impact of reservoir angle on the efficiency of vertical oil wells. In this study, empirical mathematical models were used to describe vertical oil wells constrained by two sealing faults in a reservoir supported by a strong aquifer. The mathematical models developed by (1) are applied by computer software. It was determined after evaluation that lower reservoir angles provide greater values of pressure derivatives, which is indicative of good productivity and performance. To evaluate the impact of the reservoir angle on dimensionless pressure and pressure derivatives, a sensitivity analysis was also conducted utilizing a fixed value of dimensionless time to study various reservoir angle values. However, it was shown that the dimensionless pressure, PD, is unaffected by the reservoir angle. The dimensionless pressure derivative (P'D) was shown to have an inverse relationship with the reservoir angles. To verify the accuracy of the results, a comparison analysis between the findings from the constructed computer model, OBLIQ, and those found in the literature was carried out. The analysis' findings demonstrated that the study's finding is consistent with those in the literature.