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The momentum balance equation relating a pressure gradient gradient 

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body\nabla p
in subsurface reservoir with the induced porous medium with induced fluid flow (percolation) with velocity 
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body{\bf u}
:

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anchorF
alignmentleft
-  \nabla p = \frac{\mu}{k} \, {\bf u} + \beta \, \rho \,  | {\bf u} | \, {\bf u}

where

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body{\bf u}

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body\nabla p

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bodyk

formation permeability 

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body\mu

fluid viscosity

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body\beta

Forchheimer coefficient

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