Steady State Flow (SS)

Stationary flow when fluid pressure and temperature across reservoir do not change in time:

$\begin{array}{l}p(t, {\bf r}) = \rm const \\[1.2ex] T(t, {\bf r}) = \rm const\end{array}$

This automatically implies that fluid density also stay constant as soon as the flow is in thermodynamic quasistatic equilibrium:

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

Well production or injection resulting in steady state flow is characterised by

constant rate:

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

constant formation pressure

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

and constant bottom-hole pressure:

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

Page tree