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Excerpt


LaTeX Math Block
anchorBW7BD
alignmentleft
s_{wi}(h) = \frac{b}{\phi} \; (h-h_{FWL}-c)^{\ a}

where model parameters 

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

The coefficient 

LaTeX Math Inline
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 

LaTeX Math Inline
body\phi
and/or permeability
LaTeX Math Inline
bodyk_a
:

LaTeX Math Block
anchorY202C
alignmentleft
a = a(\phi, k_a), \; b = b(\phi, k_a), \; c = c(\phi, k_a)



See also

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Physics /  Fluid Dynamics / Percolation

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

[ Basic reservoir properties ]

References

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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

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