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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 (PI)

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

constant

constant

Flowrate

LaTeX Math Inline
bodyq(t)

constant

constant

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

constant

constant

Botomhole pressure (BHP)

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 termines stationary conditions (which mean that refered properties are not chaning in time) and stabilised flow conditions which may admit pressure and rate vraitionvariation.


See Also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics