One of the SHF models:

(1)	$\begin{array}{l}\displaystyle s_w(h)=P_{cow}^{-1}[(\rho_w -\rho_o) g (h-h_{FWL})]\end{array}$

based on implicit solution of the constant pressure gradient equation:

(2)	$\begin{array}{l}\displaystyle (\rho_w -\rho_o) \cdot g \cdot (h-h_{FWL}) = P_{cow}(s_w)\end{array}$

where $\begin{array}{l}\rho_o=\rho_o(T_i, \, p_i)\end{array}$ и $\begin{array}{l}\rho_w=\rho_w(T_i, \, p_i)\end{array}$ – oil and water densities at initial formation temperature $\begin{array}{l}T_i\end{array}$ and pressure $\begin{array}{l}p_i\end{array}$ .

This model requires reliable and representative data bank on capillary pressure at sandface conditions.

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

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SHF Capillary pressure @model

References