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where

LaTeX Math Inline
bodyMB_{ro}(s)w(p_e)

Water formation volume factorRelative oil mobility

LaTeX Math Inline
bodyB_o(p_e)

Oil formation volume factor

LaTeX Math Inline
bodys

Reservoir saturation

LaTeX Math Inline
body\{ s_w, \, s_o, \, s_g \}

LaTeX Math Inline
bodyM_{rw}(s)

Relative water mobility

LaTeX Math Inline
bodyBM_w(p_e){ro}(s)

Relative oil mobilityWater formation volume factor

LaTeX Math Inline
bodyp_e

Current formation pressure

LaTeX Math Inline
bodyA\rho_w

Water densityCross-sectional flow area

LaTeX Math Inline
bodyq\rho_to

Oil densityTotal sandface flowrate 

LaTeX Math Inline
body\alphag

Standard gravity constantDeviation of flow from horizontal plane

LaTeX Math Inline
body\rhoq_wt

Total sandface flowrate Water density

LaTeX Math Inline
body\rho_oA

Cross-sectional flow areaOil density

LaTeX Math Inline
bodyg\alpha

Deviation of flow from horizontal planeStandard gravity constant


It provides a good estimate when the drawdown is much higher than delta pressure from gravity and capillary effects.

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