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

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

where 

\displaystyle k_{r\alpha}(s)

relative formation permeability to fluid  \alpha-phase

\displaystyle \mu_\alpha

dynamic viscosity of fluid \alpha-phase

M

phase mobility

k_{air}

absolute permeability to air

s

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


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

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

relative oil mobility

\displaystyle M_{rg} = \frac{k_{rg}}{\mu_g}

relative gas mobility

\displaystyle M_{rw} = \frac{k_{rw}}{\mu_w}

relative water mobility


See also


Phase mobilities



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