Novel Coupled Model for Productivity Prediction in Horizontal Wells in Consideration of True Well Trajectory

On the basis of previous research, the true trajectory of horizontal oil wells with complex structures is considered in this study. A horizontal well is an assembly of a myriad of infinitesimal section lines along the well’s length. Hence, a method to calculate the true horizontal well trajectory potential in a top-closed reservoir with bottom water is achieved. Combined with the formula of pressure drop in a single-phase variable mass flow horizontal well, a new coupled semianalytical model for horizontal well productivity prediction is established. Using a well from an offshore oilfield in China as case study, productivity prediction via calculation and comparison of the horizontal well is conducted. Prediction results show that the new model is more accurate than other models considered. The established model for real 3D well trajectory potential converts the integral solution into even-number segments to avoid the defect of zero denominator when potential calculation is conducted for the self-infinitesimal scenario. In summary, the new coupled semianalytical calculation model of productivity prediction for horizontal wells is built by establishing a calculation model for the true trajectory potential of a horizontal well. This model is proven feasible through actual case calculation. The new model is refined and stable, and productivity prediction under true trajectory conditions can be obtained with the new model. Such productivity prediction reflects the real situation of oil wells and is conducive for the optimal design of well trajectory and parameters.