The most accurate prediction of Productivity Index is based on numerical reservoir flow simulations.
Apart from this there are numerous proxy models covering popular categories of reservoir flow regimes, dynamic reservoir properties and well-reservoir contacts.
One of the most popular proxy model is Dupuit PI @model which covers a very wide range of stabilised reservoir flow.
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Subsurface E&P Disciplines / Production Technology
[ Definition specifics on formation pressure and productivity index ]
[ Dupuit PI @model[ Sandface Productivity Index ] [ Surface Productivity Index ] [ Specific Productivity Index ] [ Injectivity Index ] [ Drainarea Productivity Index (Jr) ]