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Synonym
: 123 Laminar Inertial Turbulent IPR @ model = LIT IPR @model


One of the most general form of  IPR model:

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a \, q + b \, q^2 = \Psi(p_r) - \Psi(p_{wf})  \quad , \quad p_b > p_r > p_{wf}

where

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bodyp_{wf}

bottom-hole pressure (BHP)

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bodyp_r

drainarea formation pressure

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bodyp_b

bubble-point static wellbore pressure

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bodya

laminar flow coefficient

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bodyb

turbulent flow coefficient

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body\Psi(p)

pseudo-pressure function specific to fluid type

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It needs well tests at least three different rates to assess  

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body--uriencoded--\%7B a \, , \, b, \, p_r \%7D
 but obviously more tests will make assessment more accurate.

Excerpt
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\frac{q_O}{q_{O, \rm 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}

where

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bodyq_O

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bodyq_{O, \rm max}

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bodyp_{wf}

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bodyp_r

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bodyp_b

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A more general forms of IPR is provided by Vogel IPR @ model and Wiggins IPR @ model.

See also

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Inflow Performance Relation (IPR)

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