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@wikipedia


The momentum balance equation relating a pressure gradient

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body\nabla p
 in subsurface reservoir porous medium with the induced fluid flow with velocity 
LaTeX Math Inline
body{\bf u}
::

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anchorF
alignmentleft
{\bf u}  = - \frac{k}{\mu} \ \nabla p

where

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LaTeX Math Inline
body{\bf u}

...

LaTeX Math Inline
body\nabla p

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LaTeX Math Inline
bodyk

formation permeability

LaTeX Math Inline
body\mu

fluid viscosity


Only valid for the for relatively slow flow percolation

LaTeX Math Inline
body{ \rm Re} < 12,000

For a wider range of flow regimes see Forchheimer equation.Equation.


See also

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Physics /  Fluid Dynamics / Percolation