摘要

Multiple fracture growth during multi-cluster fracturing of a horizontal well is closely dependent on fluid partitioning. However, whether injected fluid can uniformly flux into multiple fractures during fracturing remains uncertain. In this study, a semi-analytical model was proposed to simulate fluid rate distribution in multiple fractures. Multi-fracture interaction stresses in the model are solved by a detailed approximation of the elastic solution for a pressurized fracture, which are integrated with rock deformation equations to calculate the multi-fracture width. The semi-analytical model was validated with a well-recognized fully coupled hydraulic fracture simulator. The semi-analytical model can efficiently optimize perforation parameters for multi-cluster fracturing of a horizontal well. Sensitivity analysis was conducted by using the model, and simulation results show that perforation friction and interaction stress are two key factors that determine fluid partitioning among multiple fractures. When interaction stress dominates the flow pressure drop in multiple fractures, fluid partitioning among multiple fractures is uneven due to heterogeneous interaction stresses among multiple fractures; otherwise, fluid partitioning is evenly distributed. Decreasing the total number or diameter of perforation holes can promote uniform multi-fracture growth and fluid partitioning. Homogenous fluid partitioning can be achieved by decreasing the perforation number of exterior fractures, whereas increasing the perforation number of interior fractures minimally affects uniform fluid partitioning among multiple fractures.