(1)	$\begin{array}{l}\displaystyle {\rm F}_{\Gamma}(p, {\bf u}) = 0\end{array}$

where

$\begin{array}{l}\Gamma\end{array}$	reservoir boundary
$\begin{array}{l}p\end{array}$	reservoir pressure
$\begin{array}{l}{ \bf u }\end{array}$	fluid velocity
$\begin{array}{l}{\rm F}_{\Gamma}(p, {\bf u})\end{array}$	some function

(2)	$\begin{array}{l}\displaystyle {\rm F}_{\Gamma}(p, {\bf u}) = \left[ a \cdot (p({\bf r}) - p_0) + + \epsilon \cdot {\bf n} \cdot M \, (\nabla p - \rho \, {\bf g}) \right]_{{\bf r} \in \Gamma} = 0\end{array}$

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