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LaTeX Math Block
anchor9C1T3
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a \, q + b \, q^2 = \Psi(p_r) - \Psi(p_{wf})

where

LaTeX Math Inline
bodyp_r

static wellbore pressure

LaTeX Math Inline
bodya

laminar flow coefficient

LaTeX Math Inline
bodyb

turbulent flow coefficient

LaTeX Math Inline
body\Psi(p)

pseudo-pressure function specific to fluid type


It needs well tests at least three different rates to assess  

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

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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)

Richardson and Shaw IPR @ model ] [ Wiggins IPR @ model ]


References

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