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The IPR analysis is closely related to well productivity index PI – Productivity Index  

LaTeX Math Inline
bodyJ_s(q)
 which is defined as below:

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WFPWell Testing
Formation pressure

LaTeX Math Inline
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

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For single-layer formation with low-compressibility fluid the PI does not depend on flowrate 

LaTeX Math Inline
bodyJ_s = \rm const

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 and WFP – Well Flow Performance plot is reperented by a straight line (Fig. 1)

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Fig.1. IPR WFP – Well Flow Performance plot for low-compressible fluid production (water, undersaturated oil)

Это характерно для водозаборных скважин, водонагнетательных скважин и нефтяных скважин выше давления насыщения.


This is a typical WFP – Well Flow Performance plot for water supply wells, water injectors and oil producers above bubble point.


For gas wells, condensate producers, light-oil producers, and oil producers below bubble point Для газовых скважин, газоконденсатных скважин, скважин с легкой нефтью, а также нефтяных скважин, где давление опустилось ниже давления насыщения

LaTeX Math Inline
bodyP_{wf} < P_b
, сжимаемость фильрующегося агента являестя высокой, закон фильтрации в прибойной зоне скважины становится нелинейным и кривая ИКС начинает отклоняется вниз от прямой линии (Рис. 2), что означает ухудшение продуктивности скважины с ростом скорости фильтрации в призабойной зоне  the fluoid compressibility is high and formation flow in well vicinity becomes non-linear (deviating from Darcy) inbflicting the downward trend on WFP – Well Flow Performance plot (Fig. 2).

It can be interpreted as deterioration of near-reservoir zone permeability with fluid velocity growth.



Fig.2. IPR WFP – Well Flow Performance for compressible fluid production (gas, light oil, saturated oil)

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