Fig. 1. Dual-layer well schematic |
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where
q | total subsurface flowrate of the well |
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J | total well productivity Index |
p_e | apparent formation pressure of dual-layer formation |
h | true vertical height between the layers tops |
\rho | wellbore fuid density |
g | gravity constant |
p_{wf} | bottom-hole pressure at the top of the reference layer |
p_{wf,k} = p_{wf} +\rho \, g\, h_k | bottom-hole pressure at the top of the k-th layer |
q_k | total subsurface flowrate of the k-th layer |
p_k | formation pressure of the k-th layer |
J_k | productivity Index of the k-th layer |
The above equations are valid for both producers and injectors.
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Subsurface E&P Disciplines / Field Study & Modelling / Production Analysis / Productivity Diagnostics