GLOSSARY > Dual-layer IPR > image2020-4-19_14-50-24.png

Fig. 1. Dual-layer well schematic

q = q_1 + q_2

p_{wf} = p_e - q/J

J = J_1 + J_2

p_e = \frac{J_1 \cdot p_1 + J_2 \cdot (p_2- \rho \, g \, h)}{J_1 + J_2}

where

Well
		total subsurface flowrate of the well
		total well productivity Index
		apparent formation pressure of dual-layer formation
		true vertical height between the layers tops
		wellbore fuid density
		gravity constant
Layer #1
		bottom-hole pr4essure at Layer #1 top
		total subsurface flowrate of the Layer #1
		formation pressure of the Layer #1
		productivity Index of the Layer #1
Layer #2
		bottom-hole pr4essure at Layer #2 top
		total subsurface flowrate of the Layer #2
		formation pressure of the Layer #2
		productivity Index of the Layer #2

The above equations are valid for both producers and injectors.

See Also