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@wikipedia


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pore volume 

LaTeX Math Inline
body

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LaTeX Math Inline
body\Omega_e

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

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anchor1
alignmentleft
\phi_e  = \frac{V_\phi}{V_r}


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--\

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phi_%7B\rm opn%7D

Closed porosity 

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body\

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phi_{\rm cls}

with interconnected poreswith isolated pores

subject to condition:

Omega_R
LaTeX Math Block
anchor
1
alignmentleft
\
Omega
phi_
R
e = \
Omega_e
phi_{\rm opn} + \
Omega
phi_{
sh} + \Omega_mThe usual practice is to use relative volumes
\rm cls}

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

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

Omega_RV_R
phi_{ei}(\mathbf{r}) \exp \left[ \int_{p_i}^p c_\phi(p) \, dp \right]
LaTeX Math Block
anchor
pher
alignmentleft
\phi_e(\mathbf{r}, \ p) = \
frac{\Omega_e}{\Omega_R}, \quad V_{sh} = \frac{\Omega_{sh}}{\Omega_R}, \quad V_m = \frac{\Omega_m}{\Omega_R}

which are measured in V/V units (or fracs) and honor the following constraint:

LaTeX Math Block
anchor

where

LaTeX Math Inline
bodyc_\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

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:

The relative effective pore volume 

LaTeX Math Block
anchorphil
alignmentleft
\phi_e
+V_{sh} + V_m = 1
Anchor
phiephie
LaTeX Math Inline
body\phi_e
 contains free or connate fluids (water, oil , gas) and called effective porosity.

It corresponds to the air porosity of the dried laboratory cores: 
LaTeX Math Inline
body\phi_e = V_{\rm air \, core}
(\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

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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 ]