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Productivity index calculation has been an established tool for formulating inflow performance relationship in petroleum production engineering field. The accuracy in its prediction is highly desirable to petroleum industry to predict the well production efficiency and aid in economic analysis of the well. Inability to accurately model and predict flowing bottom-hole pressure in a well may result in erotic value of productivity index of a well.

This paper present an improved model for estimating flowing bottom-hole pressure and analyse its effect on productivity index value of a vertical well without ignoring any pressure resisting terms in the governing thermodynamic equation. Satisfactory pressure differential and productivity index results were obtained at any location in the wellbore, at all time and at both steady and unsteady state period using the newly developed model. Generally the flow phenomenon after …