Abstract
In this paper, a novel model was proposed for pressure transient analysis in multiple fractured horizontal wells (MFHW) with consideration of pressure loss within the wellbore. To facilitate solution of this problem, the whole system was divided into (1) reservoir subsystem, (2) fracture subsystem, and (3) wellbore subsystem. Incorporating with frictional and acceleration pressure drops, a mathematical model with finite horizontal well conductivity (HWC) was established. Employing Laplace transform, the mathematical model was solved. Transient pressure solutions of MFHW were acquired using Stehfest numerical inversion. Model validation was carried out by comparing with simplified cases in literatures. Case study and sensitivity analysis were conducted based on a real case from the Ordos Basin.
The case study strongly shows that when ignoring the wellbore hydraulics, errors could be caused during the performance forecast. Results of sensitivity analysis show that, the dimensionless wellbore pressure of MFHW increases with the increase of Reynolds number; it decreases with the increase of reservoir-wellbore constant. The effect of pressure loss on pressure performance of MFHW will be exaggerated by increasing Reynolds number, or decreasing reservoir-wellbore constant.
