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The vast amount of completion options for hydrocarbon reservoirs calls for fast productivity evaluation tools. We present a calculation method that can perform this task. It is a semi-analytical method that fully acounts for the 3D flow near the well. A superposition of analytical functions is tuned to approximate the boundary conditions by adjusting a finite number of free parameters. The method can be applied to multi-layer, multi-well reservoir completions with, optionally, finite conductive fractures. Gas reservoirs are approached with a linearization of the pressure equation.