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A property characterising agility of the fluid under pressure gradient with account of reservoir permeability and fluid  viscosity:

\bigg<\frac{k}{\mu} \bigg> = \frac{k_f}{\mu_f}

where 

k_f

formation permeability to fluid "f"

\mu_f

viscosity of fluid "f"



In multiphase flow the concept of fluid mobility is not well-defined as phases may flow quite indepedently from each other and have different dynamic parameters (pressure and velocity).


But for relatively homogeneous multi-phase flow (phases may mive at different speeds but they occupy the same space and have the same pressure) the multi-phase mobility may be defined following Perrine model:

\bigg<\frac{k}{\mu} \bigg> = k_a \left[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} + \frac{k_{rg}}{\mu_g} \right]
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