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A quantity (usually denoted as

LaTeX Math Inline
bodyG
) representing the minimum pressure gradient required to initiate the reservoir flow.:

LaTeX Math Block
anchorIYU63
alignmentleft
\begin{equation*}
 \begin{cases}
   {\bf u}= - \frac{k}{\mu}  ( \nabla p   - G \, {\bf e}_{\nabla p} ), & |\nabla p| > G,
   \\
   {\bf u}= 0, & |\nabla p|  \leq G .
 \end{cases}
\end{equation*} 

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