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A property characterising agility of the reservoir fluid under pressure gradient

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 and quantified as a value of reservoir permeability

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 normalised by dynamic fluid viscosity:

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

where 

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bodyk

_f

formation permeability to
fluid "f"
a given fluid (which vary for different fluids)

LaTeX Math Inline
body\mu

_f

dynamic fluid viscosity
of fluid "f"

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

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

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\bigg<\frac{k}{\mu} \bigg> = k_a \left[ \frac{k_{rw}}{\mu_w} + \left( 1 + \frac{R_s \, B_g}{B_o} \right) \cdot \frac{k_{ro}}{\mu_o} + \left( 1 + \frac{R_v \, B_o}{B_g} \right) \cdot \frac{k_{rg}}{\mu_g} \right]

and for a case of non-volatile low saturation gas oil-water fluid (when Perrine model makes a practical sense):

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


Excerpt Include
Multihase Fluid Mobility
Multihase Fluid Mobility
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See also

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Physics /  Fluid Dynamics / Percolation

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / [ Complex reservoir properties ] [ Basic diffusion model parameters ]

Petrophysics ] [ Basic reservoir properties ] [ Permeability ] [ Absolute permeability ]  [Relative permeability] [ Wettability ]   [ Phase mobility ] [ Relative phase mobilities ] [ Relative Reservoir Fluid Mobility ]