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WFP is performed on stabilised flow and does not cover transient behavior which is normally covered in Well TestsTesting domain.

The flow is called stabilised if the well productivity index is not changing over time.

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LaTeX Math Inline
body-

for producer

LaTeX Math Inline
body+

for injector

LaTeX Math Inline
bodyq=q_{\rm liq}=q_o+q_w

for oil producer

LaTeX Math Inline
bodyq=q_g

for gas producer or injector

LaTeX Math Inline
bodyq=q_w

for water injector or water-supply producer


Despite of terminologival similarity there is a big difference in the productivity definition and productivity analysis between WFP  and Well Testing which is summarized in the table below:



WFPWell Testing
Formation pressure

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bodyp_R
– field-average pressure within the drainage area
LaTeX Math Inline
bodyA_e


LaTeX Math Inline
bodyp_e
– pressure value at boudary of the drainage area
LaTeX Math Inline
bodyA_e


Flow rate

LaTeX Math Inline
bodyq_{\rm liq}=q_o+q_w
– surface liquid rate

LaTeX Math Inline
bodyq_t = B_w \, q_W + \frac{B_o - R_s B_g}{1 - R_v R_s} \, q_O + \frac{B_g - R_v B_o}{1 - R_v R_s} \, q_G
– total flowrate at sandface






Для однопластовой залежи со слабосжимаемым флюидом продуктивность не зависит от дебита  

LaTeX Math Inline
bodyJ_s = \rm const
 и график ИКС представляет собой прямую линию (Рис. 1).

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