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For 3-phase Oil + Gas + Water fluid model this is going to be:


LaTeX Math Block
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k_{rw} = k_{rw}(s_w, s_g)



LaTeX Math Block
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k_{ro} = k_{ro}(s_w, s_g)



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k_{rg} = k_{rg}(s_w, s_g)



Mathematical models of relative permeability are called RPM.

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In case the 2-phase SCAL data is insufficient or highly scattered one can use 2-phase RPM correlations (see table below), calibrated to whatever SCAL and production data available.


2-phase RPM correlations3-phase RPM correlations

Corey Oil+Water RPM

Corey Oil+Gas RPM


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Hornapour model


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Ternary Phase Diagram

See also

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Physics /  Fluid Dynamics / Percolation

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Petrophysics ] [ Basic reservoir properties ] [ Wettability ] [ Permeability ] [ Absolute permeability ]  [Relative permeability

Reference

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Fekete – Relative Permeability Correlations

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