There is a statistical correlation between absolute permeability
and
effective porosity which can be approximated by various empirical models based on
PORO-PERM correlations.
The most generic approach to permeability modelling is based on the concepts of Flow Zone Indicator
:
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k = 1014.24 \cdot FZI^2 \cdot \frac{\phi^3}{( 1 - \phi)^2} |
In case
for each
lithofacies the model
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represents conventional
Cozeny-Karman permeability @model
In a more general case, the Flow Zone Indicator keeps dependance on variation of shaliness and effective porosity within a given lithofacies:
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FZI =FZI(V_{sh}, \, \phi) |
but not as strong as permeability and with a better separation between lithofacies which makes it easier to pick up the correlation.
Below is the list of popular permeability-porosity models also called PORO-PERM correlations:
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| PORO-PERM correlations |
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| PORO-PERM correlations |
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References
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| https://www.spec2000.net/01-index.htm Tanmay Chandra, Permeability estimation using flow zone indicator from Well log data, ICEPG, Hydrabad – 2008
Antonio Costa, Permeability-porosity relationship: A reexamination of the Kozeny-Carman equation based on a fractal pore-spacegeometry assumption, GEOPHYSICAL RESEARCH LETTERS, VOL. 33 – 2006
Nigmatullin, R., L. Dissado, and N. Soutougin (1992), A fractal pore model for Archie's law in sedimentary rocks, J. Phys. D Appl. Phys., 25, 32–37. |
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