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M_\alpha(s) = \frac{k_\alpha}{\mu_\alpha} = k_{air} \cdot \frac{kM_{r \alpha}}{\mu_\alpha}(s)

where 

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body\displaystyle k_\alpha(s)

formation permeability to fluid 

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body\alpha
-phase

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body\displaystyle \mu_\alpha

dynamic viscosity of fluid

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body\alpha
-phase

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body\displaystyle k_{air}

absolute permeability to air

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body\displaystyle kM_{r\alpha}(s) = \frac{k_{r \alpha}}{\mu_\alpha}

relative phase mobilityrelative formation permeabilityto fluid 
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body\alpha
-phase

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body\displaystyle Mk_{r\alpha}(s) = \frac{k_{r \alpha}}{\mu_\alpha}

relative formation permeabilityto fluid 

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body\alpha
-phase

relative phase mobility

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bodys = \{ s_{\alpha}\}

reservoir saturation

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

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