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

where 

\displaystyle k_\alpha

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}

relative formation permeability to fluid  \alpha-phase

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


relative phase mobility


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

\displaystyle \left<\frac{k_o}{\mu_o} \right>

oil mobility

\displaystyle \left<\frac{k_g}{\mu_g} \right>

gas mobility

\displaystyle \left<\frac{k_w}{\mu_w} \right>


water mobility




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