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Since the pore compressibility is very low (cr = 0.5 ÷ 1.5  GPa-1) for all 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_{e0}(\mathbf{r}) \cdot \leftbig[ 1 - c_r(p) \, (p-p_i) \rightbig]


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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