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One f the SHF models:

(1) s_w(h) = 1 - a \exp \left( -\left(\frac{b}{h-h_{FWL}+c}\right)^d \right)

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

The coefficient  c 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:

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

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