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LaTeX Math Inline
body\displaystyle k_\alpha

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 \left<\frac{ k_{r\alpha}}{\mu_\alpha} \right>

relative formation permeabilityto fluid 

LaTeX Math Inline
body\alpha
-phase

relative phase mobility

LaTeX Math Inline
body\displaystyle \left<\frac{k_{r \alpha}}{\mu_\alpha} \right>


relative phase mobilityrelative formation permeability to fluid 
LaTeX Math Inline
body\alpha
-phase


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

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