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


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



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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 often abbreviated RPM.

The usual practice is to build 2-phase RPM based on SCAL data and then use 3-phase RPM correlations (see table below).

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.

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Hornapour model

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RPM @model
RPM @model
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See also

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Physics /  Fluid Dynamics / Percolation

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling 

Petrophysics ] PermeabilityBasic reservoir properties ] [ Absolute permeabilityWettability ] [ WettabilityPermeability ]   Basic reservoir propertiesAbsolute permeability ]  [Relative permeability

Reference

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[1] Fekete – Relative Permeability Correlations



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