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For a single layer formation with low-compressibility fluid (water or dead oil) the PI does not depend on drawdown (or flowrate) 

LaTeX Math Inline
bodyJ_s = \rm const
 and WFP – Well Flow Performance plot is reperented by a straight line (Fig. 1)


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Fig.1. WFP – Well Flow Performance plot for constant productivity (water and dead oil)

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For gas producers, the fluid compressibility is high and formation flow is essentially non-linear, inflicting the downward trend on the whole WFP – Well Flow Performance plot (Fig. 2).


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Fig. 2. WFP – Well Flow Performance for dry gas producer or gas injector into a gas formation

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It can be interpreted as deterioration of near-reservoir zone permeability when the fluid velocity is high and modelled as rate-dependant skin-factor.


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Fig. 3. WFP – Well Flow Performance for 2-phase oil+gas production below and above bubble point

But when field-average formation pressure is above bubble-point 

LaTeX Math Inline
bodyp_R > p_b
 (which means that most parts of the drainage area are saturated oil) the PI can be farily approximated  by some analytical correlations.


Multiphase IPR

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For 3-phase water-oil-gas flow the IPR analysis is perfomed on oil and watr components (see Fig. 4.1 and Fig. 4.2).


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Fig. 4.1. Oil WFP – Well Flow Performance for 3-phase (water + oil + gas) formation flow

Fig. 4.2. Water WFP – Well Flow Performance for 3-phase (water + oil + gas) formation flow

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