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LaTeX Math Block
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k_f = \mu_f \frac{| {\bf v}|}{ | \nabla p |}

where

LaTeX Math Inline
body\mu_f

fluid viscosity

LaTeX Math Inline
body| {\bf v}|

fluid velocity

LaTeX Math Inline
body\nabla p

pressure gradient


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LaTeX Math Block
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k_f = k_a \cdot k_{rf}

where

LaTeX Math Inline
bodyk_a

absolute permeability to air which is defined by the reservoir pore structure only, also denoted as

LaTeX Math Inline
bodyk_{abs}
or
LaTeX Math Inline
bodyk_{air}

LaTeX Math Inline
bodyk_{rf}r

relative permeability to a given fluid which is defined by the interaction between fluid and reservoir matrix

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