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Effective porosity is a function of reservoir pressure at a given location

LaTeX Math Inline
bodyp({\bf r})
:

LaTeX Math Block
anchorpher
alignmentleft
\phi_e(\mathbf{r}, \ p) = \phi_{e0}(\mathbf{r}) \exp \left[ \int_{p_i}^p c_r(p) \, dp \right]

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LaTeX Math Inline
bodyc_r(p)

pore compressibility (see also Pore compressibility @model )

LaTeX Math Inline
bodyp_i

initial formation pressure


This leads to the effect of Porosity Shrinkage.

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:

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