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A property characterising agility of the  fluid  \alpha-phase under pressure gradient with account of reservoir permeability and dynamic fluid viscosity:

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

where 

\displaystyle k_\alpha(s)

formation permeability to fluid  \alpha-phase

\displaystyle \mu_\alpha

dynamic viscosity of fluid \alpha-phase

\displaystyle k_{air}

absolute permeability to air

\displaystyle k_{r\alpha}(s)

relative formation permeability to fluid  \alpha-phase

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

relative phase mobility

s

reservoir saturation \{ s_w, \, s_o, \, s_g \}


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

\displaystyle M_o = \frac{k_o}{\mu_o}

oil mobility

\displaystyle M_g = \frac{k_g}{\mu_g}

gas mobility

\displaystyle M_w = \frac{k_w}{\mu_w}

water mobility


See also


Relative Phase mobilities


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