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The word "Inflow" is misnomer as Inflow Performance Relation Relationship (IPR) analysis is applicable for both producers and injectors.
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The Inflow Performance Relation Relationship (IPR) analysis is closely related to well Productivity Index (PI)
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For undersaturated reservoir the numerically-simulated Inflow Performance Relation Relationship (IPR)s have been approximated by analytical models and some of them are brought below.
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These correaltions should be calibrated to the available well test data to set a up a customised IPR model for a given formation.
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Water and Dead Oil IPR
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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)
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where
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Dry Gas IPR
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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 IPR plot (Fig. 2).
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But obviously more tests will make assessment more accruate.
Saturated Oil IPR
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For saturated oil reservoir the free gas flow inflict the downward trend of IPR plot similar to dry gas (Fig. 3).
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Undersaturated Oil IPR
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For undersaturated oil reservoir
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When it is higher than bubble point
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When bottom-hole pressure goes below bubble point
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q_{max} = q_b \, \Big[1 + \frac{1}{1.8} \frac{p_b}{(p_r - p_b)} \Big] |
Saturated Multiphase IPR
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For saturated 3-phase water-oil-gas reservoir the IPR analysis is represented by oil and water components separately (see Fig. 4.1 and Fig. 4.2).
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\frac{q_w}{q_{w, \, max}} = 1 - 0.72 \, \frac{p_{wf}}{p_r} - 0.28 \Bigg(\frac{p_{wf}}{p_r} \Bigg)^2 |
Undersaturated Multiphase IPR
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For undersaturated 3-phase water-oil-gas reservoir the IPR analysis is represented by oil and water components separately (see Fig. 4.1 and Fig. 4.2).
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The analytical correlation for saturated 3-phase oil flow is given by Wiggins model:
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Well & Reservoir Management
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[ Vogel IPR @model ] [ Richardson and Shaw IPR @ model ] [ Wiggins IPR @ model ]
Reference
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