A property characterising agility of the multi-phase fluid under pressure gradient with account of relative permeability and dynamic fluid viscosity:
(1) | M_{r}(s) = \frac{M}{k_{air}} = \sum_\alpha M_{r \alpha}(s |
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} |
See also
Physics / Fluid Dynamics / Percolation
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Reservoir Flow Simulation