One of the SHF models: based on implicit solution of the constant pressure gradient equation: where
\rho_o=\rho_o(T_i, \, p_i) и
\rho_w=\rho_w(T_i, \, p_i) – oil and water densities at initial formation temperature
T_i and pressure
p_i. This model requires reliable and representative data bank on capillary pressure at sandface conditions.
(1)
s_{wi}(h)=P_{cow}^{-1}[(\rho_w -\rho_o) g (h-h_{FWL})]
(2)
(\rho_w -\rho_o) \cdot g \cdot (h-h_{FWL}) = P_{cow}(s_{wi})
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 ] [ Capillary pressure @model ]
References
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