Fig. 1. Dual-layer well schematic |
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where
Well | ||
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total subsurface flowrate of the well | ||
total well productivity Index | ||
apparent formation pressure of dual-layer formation | ||
wellbore pressure loss between the tips of two layers | ||
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 |
In many practical cases:
\delta p_2 = \rho \, g \, h |
where
wellbore fuid density | |
gravity constant | |
true vertical height between -th layer and reference layer |
The above equations are valid for both producers and injectors.
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