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LaTeX Math Block
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M_{r\alpha}(s) = \frac{M}{k_{air}} = \frac{k_{r \alpha}}{\mu_\alpha}

where 

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

relative formation permeabilityto 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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bodyM

phase mobility

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bodyk_{air}

absolute permeability to air

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bodys = \{ s_{\alpha}\}

reservoir saturation

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body\sum_\alpha s_{\alpha} = 1


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

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bodys = \{ s_w, \, s_o, \, s_g \}

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body s_w + s_o + s_g =1

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body\displaystyle M_{ro} = \frac{k_{ro}}{\mu_o}

LaTeX Math Inline
body\displaystyle M_{rg} = \frac{k_{rg}}{\mu_g}

relative gas mobility

LaTeX Math Inline
body\displaystyle M_{rw} = \frac{k_{rw}}{\mu_w}

relative water mobility


See also

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Physics /  Fluid Dynamics / Percolation

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling 

Petrophysics ] [ Basic reservoir properties ] [ Permeability ] [ Absolute permeability ]  [Relative permeability] [ Wettability ]  [ Phase mobility ] [ Relative phase mobilities ]