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The table below is summarizing the major differences between SS and PSS regimes.



Steady state regime (SS)Pseudo-steady state (PSS)
Boundary
Full pressure supportNo pressure support
Productivity index

LaTeX Math Inline
bodyJ(t) = \frac{q}{\Delta p}

constant

constant

Flow rate

LaTeX Math Inline
bodyq(t)

constant

constant

Drawdown

LaTeX Math Inline
body\Delta p(t) = p_e(t) - p_{wf}(t)

constant

constant

Botom-hole pressure

LaTeX Math Inline
bodyp_{wf}(t)

constant

varying

Formation pressure

LaTeX Math Inline
bodyp_e(t)

constant

varying



It's again important to avoid confusion between the termine stationary conditions (which mean that refered properties are not chaning in time) and stabilised flow conditions which may admit pressure and rate vraition.

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The conventional WFP – Well Performance Analysis is perfomed as the cross-lot with two physical models:

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and

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Anchor
IPR
IPR

IPR – Inflow Performance Relationship

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