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@wikipedia
Part of the bulk rock volume 


pore volume 

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

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anchor1
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\phi_e  = \frac{V_f\phi}{V_r}

Although the fluid inside the pore is movable but some pores maybe isolated from each other and do not contribute to rock permeability.

This splits the effective pore volume into two components: open pore volume and closed pore volume:

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V_\phi = V_{\rm open} + V_{\rm closed}


The log name is PHIE.


The reason to introduce this concept is that a part of the actual inter-grain void is filled with shale thus reducing the actual volume available for fluids.


It splits into two components:

Open porosity 

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body--uriencoded--\phi_%7B\rm opn%7D

Closed porosity 

LaTeX Math Inline
body\phi_{\rm cls}

with interconnected poreswith isolated pores

subject to condition:

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anchor1
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\phi_e = \phi_{\rm opn} + \phi_{\rm cls}

The log name is PHIE. 
Effective porosity is a function of reservoir pressure at a given location

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

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anchor1pher
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\phi_e(\mathbf{r}, \ p) = \phi_0{ei}(\mathbf{r}) \exp \left[ - \int_{p_i}^p c_r\phi(p) \, dp \right]

where

LaTeX Math Inline
bodyc_

r

\phi(p)

pore compressibility (see also Pore compressibility @model )

LaTeX Math Inline
body--uriencoded--\phi_%7Bei%7D = \phi_e(p_i)

effective porosity at the initial formation pressure 

LaTeX Math Inline
bodyp_i

LaTeX Math Inline
bodyp_i

шnitial formation pressure
initial formation pressure


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:

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anchorphil
alignmentleft
\phi_e(\mathbf{r}, \ p) = \phi_{ei}(\mathbf{r}) \cdot \left[ 1 + c_\phi \, (p-p_i) + 0.5 \, c_\phi^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
.

See also

...

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

 Basic reservoir properties ] [ Pore volume ] [ Connected pore volume ] [ Closed pore volume ] [ Porosity ] [ Open porosity ] [ Closed porosity ][ Initial Porosity ϕi ]

Pore compressibility @model ]