Capillary pressure modeling

In the literature  exists several empirical formula of capillary pressure present in a porous media.

To understand the effect of the capillary pressure on the saturation, we did our simulation with the following simple formula as a first approach :

 

$P_c=C(S_e)^{-\alpha}$

where :

  •  $P_c$ is the capillary pressure
  •  $C$ and $\alpha$ are constant
  •  $S_e$ is the effective saturation in liquid.
     

Se is defined by :

 

  • where $ S_{min}$ and $S_{max}$ are the minimal and the maximal saturation of the porous media.