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LaTeX Math Block
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{\bf u}  = -  M \cdot \nabla p = -  \frac{k}{\mu}  \cdot ( \nabla p - \rho \, {\bf g} )

where

LaTeX Math Inline
body

\displaystyle

M =

\frac{

k

}{

/ \mu

}

fluid mobility


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body\rho
fluid density 

LaTeX Math Inline
bodyk

formation permeability

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body--uriencoded--%7B \bf g %7D

gravity vector

LaTeX Math Inline
body\mu

fluid viscosity
LaTeX Math Inline
body\nabla


gradient operator


In multiphase flow the Darcy flow equation is applicable for each phase independently.

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