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LaTeX Math Block
anchorJ
alignmentleft
J_s(q_{\rm liq}) = \frac{q_{\rm liq}}{p_R-p_{wf}}


for oil producer with liquid flowrate

LaTeX Math Inline
bodyq_{liq} = q_O + q_W
(water and oil at surface conditions)

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_G) = \frac{q_G}{p_R-p_{wf}}


for gas producer with gas flowrate

LaTeX Math Inline
bodyq_G
at surface conditions

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_g) = \frac{q_{GI}}{p_{wf}-p_R}


for gas injector with gas flowrate

LaTeX Math Inline
bodyq_{GI}
at surface conditions

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_w) = \frac{q_{WI}}{p_R-p_{wf}}


for water injector with water flowrate

LaTeX Math Inline
bodyq_{WI}
at surface conditions

where

LaTeX Math Inline
bodyp_R

field-average formation pressure within the drainage area

LaTeX Math Inline
bodyV_e
of a given well:
LaTeX Math Inline
bodyp_R = \frac{1}{V_e} \, \int_{V_e} \, p(t, {\bf r}) \, dV


Based on these notions the general WFP – Well Flow Performance can be wirtten in universal form:

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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.


Image Modified

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


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).


Image Modified

Image Modified

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



Note

Excerpt Include
Definition specifics on formation pressure and productivity index in between Dynamic Modelling, Well Flow Performance and Well Tests
Definition specifics on formation pressure and productivity index in between Dynamic Modelling, Well Flow Performance and Well Tests
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