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pore volume 

LaTeX Math Inline
bodyV_\phi
 fraction of bulk rock volume 
LaTeX Math Inline
bodyV_r
 containing the hydrodynamically connected fluids (also called free fluids) within each pore element:

LaTeX Math Block
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\phi_e  = \frac{V_\phi}{V_r}

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It splits into two components: open porosity  LaTeX Math Inlinebody


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\phi_e = \phi_{\rm con}

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 + \phi_{\rm cls}

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LaTeX Math Inline

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body

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\phi_

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{\rm

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con}

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Closed porosity 

LaTeX Math Inline
body\phi_{\rm

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cls}


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

LaTeX Math Inline
bodyp({\bf r})

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\phi(\mathbf{r}, \ p) = \phi_0(\mathbf{r}) \exp \left[ - \int_{p_i}^p c_r(p) \, dp \right]

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