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Nguyen model

The input line for the generalized from of the exponential expression of Nguyen1 takes the following form:

*Relative permeability = Nguyen 
 k^w_min, k^a_min, m

The material parameters are given in the following:

  • \(k^{w}_{min}\) and \(k^{w}_{min}\) are the minimum relative permeability for the pore water and pore air phase, respectively.
  • \(m\) is the exponent. For \(m=3\) the original relation of Nguyen is recovered.

Note that an exponential model for the relative permeability analogously to the exponential hydraulic model can be achieved by choosing the Nguyen model with \(m=1\).

  1. Viet Hoai Nguyen, Adrian P. Sheppard, Mark A. Knackstedt, and W. Val Pinczewski. The effect of displacement rate on imbibition relative permeability and residual saturation. Journal of Petroleum Science and Engineering, 52(1-4):54–70, 6 2006. Reservoir Wettability. doi:10.1016/j.petrol.2006.03.020. ↩