A value of Effective porosity change due to the rock compaction under reservoir pressure variation :

\delta \phi_e(\mathbf{r}, \ p) = \phi_{e0}(\mathbf{r}) \left( 1- \exp \left[ \int_{p_i}^p c_r(p) \, dp \right] \right)

where

pore compressibility (see also Pore compressibility @model )

initial formation pressure


Since the pore compressibility is very low (cr = 0.5 ÷ 1.5  GPa-1) for all subsurface rocks in petroleum reservoirs the  can be written as:

\delta \phi_e(\mathbf{r}, \ p) = \phi_{e0}(\mathbf{r}) \cdot  c_r(p) \, (p-p_i) 


See also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics (PP) / Volumetric Rock Model / Effective Porosity (PHIE)


Pore Compressibility.xls