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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

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