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A certain type of linear stabilised IPR:

q = J \, (p_r - p_{wf})

with constant productivity index:

(1) J = \frac{2 \pi \sigma}{ \ln \frac{r_e}{r_w} + \epsilon+ S}

where  \sigma = \Big \langle \frac{k} {\mu} \Big \rangle \, h = k \, h\, \Big[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} \Big]  – water-based or water-oil-based transmissbility above bubble point 

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,

  \epsilon = 0.5 for steady-state SS flow and  \epsilon = 0.75 for pseudo-steady state PSS flow.

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