This paper presents a hybrid, numerical-analytical model for the pressure-transient response of a finite-conductivity fracture intercepted by a horizontal well. The model dynamically couples a numerical fracture model with an analytical reservoir model. This approach allows us to include finer details of the fracture characteristics while keeping the computational work manageable. For example, the fracture may have irregular shape, nonuniform width, and variable conductivity, and the well may not intersect the fracture at its geometric center. This model can be used as a pressure-transient analysis tool to interpret complex pressure-transient characteristics or as a diagnostic tool to investigate the influence of various fracture properties on the production performance of fractured horizontal wells.

We discuss the effect of fracture characteristics on the existence of different flow regimes. We present the distribution of flow rate into the fracture and flow convergence toward the wellbore. The model helps to understand the productivity loss due to flow choking and nonDarcy flow at the intersection of the horizontal well.

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