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This leads to the effect of Porosity Shrinkage.

Since the pore compressibility is very low (cϕ  = 0.5 ÷ 1.5  GPa-1) and has a weak dependence on  reservoir pressure  for subsurface rocks in petroleum reservoirs the 

LaTeX Math Block Reference
anchorpher
 can be written as:

LaTeX Math Block
anchorphil
alignmentleft
\phi_e(\mathbf{r}, \ p) = \phi_{ei}(\mathbf{r}) \cdot \left[ 1 + c_\phi \, (p-p_i) + 0.5 \, c_\phiphi^2 \, (p-p_i)^2 \right]


Most Subsurface E&P Disciplines (except Petrophysics) usually omit index "e" and denote Effective porosity as 

LaTeX Math Inline
body\phi = \phi_e
.

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