One of the SHF models:


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

where model parameters   are calibrated on water saturation from OH logs for each lithofacies or petrotype individually.

The coefficient  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 :

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



See also


Physics /  Fluid Dynamics / Percolation

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Petrophysics / Saturation Height Function (SHF) / SHF mathematical models

Basic reservoir properties ]

References



1Cuddy, S., Allinson, G. and Steele, R.: “A simple, convincing model for calculating water saturations in Southern North Sea gas fields”, Paper H, SPWLA 34th Annual Logging Symposium, June 13th – 16th (1993).
2

SPE 71326, B. Harrison (Enterprise Oil), X.D. Jing (Imperial College, London), Saturation Height Methods and Their Impact on Volumetric Hydrocarbon in Place Estimates, 2001