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The relation between surface flow rate the total sandface flowrate 

LaTeX Math Inline
bodyq
, bottom-hole pressure  bottomhole pressure 
LaTeX Math Inline
bodyp_{wf}
 and field-average formation pressure pressure 
LaTeX Math Inline
bodyp_r
 during the stabilized reservoir flow:

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Linear Perrine multi-phase diffusion @model

LaTeX Math Inline
body\sigma

transmissibility above bubble point

LaTeX Math Block Reference
anchorPerrine2phase_alpha
page

LaTeX Math Inline
body\epsilon = 0.5

for Steady State (SS) well flow regime

LaTeX Math Inline
body\epsilon = 0.75

for Pseudo Steady State (PSS) well flow regime

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