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@wikipedia

Part of the bulk rock volume containing the hydrodynamically connected fluids called free fluids.

The log name is PHIE

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

See also


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
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 

LaTeX Math Inline
body--uriencoded--\phi_%7B\rm opn%7D

Closed porosity 

LaTeX Math Inline
body\phi_{\rm cls}

with interconnected poreswith isolated pores

subject to condition:

LaTeX Math Block
anchor1
alignmentleft
\phi_e = \phi_{\rm opn} + \phi_{\rm cls}

 
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_{ei}(\mathbf{r}) \exp \left[ \int_{p_i}^p c_\phi(p) \, dp \right]

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:

LaTeX Math Block
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 ]Volumetric Rock Model