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LaTeX Math Inline
body\displaystyle k_\alpha(s)

formation permeability to fluid 

LaTeX Math Inline
body\alpha
-phase

LaTeX Math Inline
body\displaystyle \mu_\alpha

dynamic viscosity of fluid

LaTeX Math Inline
body\alpha
-phase

LaTeX Math Inline
body\displaystyle k_{air}

absolute permeability to air

LaTeX Math Inline
body\displaystyle k_{r\alpha}(s)

relative formation permeabilityto fluid 

LaTeX Math Inline
body\alpha
-phase

LaTeX Math Inline
body\displaystyle M_{r\alpha}(s) = \frac{k_{r \alpha}}{\mu_\alpha}

relative phase mobility

LaTeX Math Inline
bodys = \{ s_{\alpha}\}

reservoir saturation

LaTeX Math Inline
body\sum_\alpha s_{\alpha} = 1
,
LaTeX Math Inline
body\alpha
-phase saturation


In most popular case of a 3-phase fluid model this will be:

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