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| LaTeX Math Block |
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\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*} |
where where
is threshold pressure gradient (TPG), which su the minimum pressure gradient required to initiate the reservoir flow и | LaTeX Math Inline |
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| body | {\bf e}_{\nabla p} = \frac{\nabla p}{|\nabla p|} |
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– unit vector along the pressure gradient
and
is threshold pressure gradient (TPG) and represents the minimum pressure gradient required to initiate the reservoir flow .
This model can be reformulated in terms of non-linear permeability model:
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