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But obviously more tests will make assessment more accruate.

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Saturated Oil IPR

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For undersaturated saturated oil reservoir with bottom-hole pressure below bubble point 

LaTeX Math Inline
bodyP_{wf} < P_b
  the near-reservoir zone free gas slippage also inflicts flow inflict the downward trend at the right side of WFP – Well Flow Performance plot  plot  similar to dry gas (Fig. 3).

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 –

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Fig. 3. WFP –

Well Flow Performance for 2-phase oil+gas production below and above bubble point


The analytical correlation for saturted oil flow is given by Vogel model:


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anchorQF556
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\frac{q}{q_{max}} = 1 - 0.2 \, \frac{p_{wf}}{p_R} - 0.8 \Bigg(\frac{p_{wf}}{p_R} \Bigg)^2  \quad , \quad p_b > p_R > p_{wf}

Undersaturated Oil IPR

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For undersaturated oil reservoir

LaTeX Math Inline
bodyp_R > p_b
 the WFP – Well Flow Performance model will depend on the bottom-hole pressure.

When it is higher than bubble point

LaTeX Math Inline
bodyp_{wf} > p_b
 then formation flow will be single-phase oil and production will follow the constant WFP – Well Flow Performance

When bottom-hole pressure goes below bubble point 

LaTeX Math Inline
bodyp_{wf} < p_b
  the near-reservoir zone free gas slippage also inflicts the downward trend at the right side of WFP – Well Flow Performance plot (Fig. 3).

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 Added

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


The analytical correlation for undersaturated oil flow is given by modified Vogel model:

LaTeX Math Block
anchor1
alignmentleft
\frac{q}{q_b} = \frac{p_R - p_{wf}}{p_R - p_b} \quad , \quad p_R > p_{wf} > p_b 
LaTeX Math Block
anchorVogel
alignmentleft
\frac{q}{q_{max}} = 1 - 0.2 \, \frac{p_{wf}}{p_R} - 0.8 \Bigg(\frac{p_{wf}}{p_R} \Bigg)^2  \quad , \quad p_R > p_b > p_{wf}



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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