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LaTeX Math Block
anchorJ
alignmentleft
J_s(q_{\rm liq}) = \frac{q_{\rm liq}}{p_R-p_{wf}}


for oil producer with surface liquid production flowrate

LaTeX Math Inline
bodyq_{liq} = q_o + q_w
(water and oil)

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_gG) = \frac{q_gG}{p_R-p_{wf}}


for gas producer with surface gas flowrate

LaTeX Math Inline
bodyq_G

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_g) = \frac{q_g{GI}}{p_{wf}-p_R}


for gas injector with surface gas flowrate

LaTeX Math Inline
bodyq_{GI}

LaTeX Math Block
anchorJ
alignmentleft
J_s(q_w) = \frac{q_w{WI}}{p_R-p_{wf}}


for water injector with surface water flowrate

where

LaTeX Math Inline
bodyq_

w, \, q_o, \, q_gwater, oil, gas flow rates at separator

{WI}

where

LaTeX Math Inline
bodyp_R

field-average formation pressure withing within the drainage area

LaTeX Math Inline
bodyV_e
of a given well:
LaTeX Math Inline
bodyp_R = \frac{1}{V_e} \, \int_{V_e} \, p(t, {\bf r}) \, dV

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