Steady State Well Flow Regime (SS)

Stationary flow with reservoir and fluid staying at quasistatic equilibrium and fluid pressure and temperature are not changing in time:

$\begin{array}{l}\displaystyle p(t, {\bf r}) = p({\bf r})\end{array}$

$\begin{array}{l}\displaystyle T(t, {\bf r}) = T({\bf r})\end{array}$

$\begin{array}{l}\displaystyle q(t) = q = \rm const\end{array}$

constant flowrate

$\begin{array}{l}\displaystyle p_e(t) = p_e = \rm const\end{array}$

$\begin{array}{l}\displaystyle p_{wf}(t) = p_{wf} = \rm const\end{array}$

$\begin{array}{l}\displaystyle J(t) = J = \rm const\end{array}$

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