A property characterizing agility of the fluid under pressure gradient as a ratio of reservoir permeability by dynamic fluid viscosity:
(1) | M = \frac{k}{\mu} |
where
k | formation permeability to fluid |
---|---|
\mu | dynamic viscosity of fluid |
In multiphase flow the concept of total fluid mobility is not well-defined as phases may have different mobilities and flow quite independently from each other, having different pressures, moving at different velocities and segregated in space.
But for relatively homogeneous multi-phase flow (phases may move at different velocities but occupy the same reservoir space and have the same pressure) the multi-phase mobility may be defined by Perrine model:
| \displaystyle \Rightarrow |
|
or explicitly
For the case of 2-phase Oil + Water fluid model (when Perrine model makes the most practical sense):
(4) | M = k_{air} \left[ M_{rw} + M_{ro} \right] |
or explicitly
(5) | \left<\frac{k}{\mu} \right> = k_{air} \left[ \frac{k_{rw}}{\mu_w} + \frac{k_{ro}}{\mu_o} \right] |
See also
Physics / Fluid Dynamics / Percolation
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Reservoir Flow Simulation
[ Field Study & Modelling ] [ Phase mobilities ] [ Relative Phase mobilities ]