+ Site Statistics
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

Relating permeability to pore connectivity using a power-law flow unit equation



Relating permeability to pore connectivity using a power-law flow unit equation



Petrophysics (Houston, Tex)



The effects of pore connectivity, the valve action of pore throats, and cementation are implemented into a bundle of tortuous leaky capillary-tubes macroscopic model of permeability. Practical straight-line plotting and parameter determination schemes are presented for convenient correlation of the porosity-permeability or porous media using a simplified macroscopic model. The permeability of porous media is accurately correlated by means of a single continuous function over the full range of porosity using a power-law flow unit equation. The present approach leads to a compact and simplified correlation, which can be incorporated into the modeling of porous media processes without adding appreciable complexity and computational burden. The parameters of the power-law flow unit equation, incorporating the fractal attributes of connected pore space into a bundle of tortuous leaky hydraulic tubes model of porous media, are proven to be strong functions of the coordination number of porous media and significantly different than those of the Kozeny-Carman equation. The mathematical relationships of the power-law parameters to the coordination number are also presented. The power-law flow unit model is shown to fit the porosity-permeability data successfully. The analyses of various data indicate the validity of the present approach and lead to accurate and functionally well-behaving correlations over the full range of porosity. The associated analysis also lends itself to the physical interpretation of the pore connectivity and cementation factor in terms of the relationship or permeability to porosity.

Please choose payment method:






(PDF emailed within 1 workday: $29.90)

Accession: 019885459

Download citation: RISBibTeXText


Related references

Permeability and pore-connectivity variation of pumices from a single pyroclastic flow eruption; implications for partial fragmentation. Journal of Volcanology and Geothermal Research 176.2, 2008

Improving permeability prediction for fibrous materials through a numerical investigation into pore size and pore connectivity. Powder Technology 195(1): 57-62, 2009

A single equation relating molecular weight, pore-size, and elution coefficient in the controlled pore glass chromatography of protein-sodium dodecyl sulfate complexes. Journal of Chromatography 85(1): 129-131, 1973

A numerical experiment on pore size, pore connectivity, water retention, permeability, and solute transport using network models. European Journal of Soil Science 51(1): 99-105, 2000

Pore-level modeling of gas and condensate flow in two- and three-dimensional pore networks; pore size distribution effects on the relative permeability of gas and condensate. Transport in Porous Media 53(3): 281-315, 2003

Permeability and pore connectivity; a new model based on network simulations. Journal of Geophysical Research 115.B10, 2010

Pore-connectivity based permeability model for complex carbonate formations. Petrophysics (Houston, Tex), 2008

From characterisation of pore-structures to simulations of pore-scale fluid flow and the upscaling of permeability using microtomography: A case study of heterogeneous carbonates. Journal of Geochemical Exploration 144: 84-96, 2014

Characterizing pore volume, sizes, and connectivity in pervious concretes for permeability prediction. Materials Characterization 61(8): 802-813, 2010

Solution of the integral equation relating collisions with power reflection in the ionosphere. IEEE Transactions on Antennas and Propagation 30(2): 321-323, 1982

The impact of wettability and connectivity on relative permeability in carbonates A pore network modeling analysis. Water Resources Research 48(12): n/a-n/a, 2012

Permeability reduction induced by pore shrinkage and connectivity loss; microstructural observations and percolation modeling. Eos, Transactions, American Geophysical Union 74(16, Suppl, 1993

The role of the unit of mass in the allometric equation relating body size and metabolic rate. Acta Biochimica et Biophysica Hungarica 21(3): 257-262, 1986

The permeability of salt, inferred from in situ measurements of pore connectivity at elevated pressures and temperatures by A.C. impedance spectroscopy. Terra Abstracts 8, Suppl, 1996

Determination of the pore connectivity and pore size distribution and pore spatial distribution of porous chromatographic particles from nitrogen sorption measurements and pore network modelling theory. Journal of Chromatography. a 907(1-2): 57-71, 2001