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One of the SHF models:

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

where model parameters  \{ a, \ b, \ c \}  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  \phi and/or permeability k_a:

(2) 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




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