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One of the SHF models:

Excerpt


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s_w(h) = \frac{b}{\phi} \; (h-h_{FWL}-c)^{\ a}

where model parameters 

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body\{ a, \ b, \ c, \ d \}
  are calibrated on water saturation from OH logs for each lithofacies or petrotype individually.

The coefficient 

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bodyc
 is related to FWL correction but usually set the same for all lithofacies / petrotypes of a given reservoir unit.


If core data is abundant then one can build a reasonable correlation of model parameters on porosity and/or permeability:

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a = a(\phi), \; b = b(\phi), \; c = c(\phi)