Transport in Porous Media

, Volume 96, Issue 2, pp 429–438 | Cite as

Permeability of Pore Networks Under Compaction

  • R. E. Rozas
  • S. Díaz
  • J. Quispe
  • S. M. Acuña
  • P. G. ToledoEmail author


The characteristic pore length fixes the scale of permeability of a porous medium. For pore networks undergoing strong random compaction, this length becomes singular at transition porosities, revealing a change in the microstructure of the porespace controlling the transport. Nodal balances and lattice Boltzmann simulations of flow in pore networks under compaction show that the scaling between permeability and porosity changes near the transition porosities. Simulation results are compared with experimental permeability data from transparent two-dimensional micromodels of networks decorated with the same pore size distribution. Permeability–porosity data of media undergoing smooth compaction is well described by a single power law. Under strong compaction, however, the scaling between permeability and porosity is possible by traits only, the scaling exponent changes notably at given transition porosities. These behaviors are common to a wealth of permeability–porosity data thus far unexplained.


Percolation Permeability Porosity Characteristic length Compaction Pore microstructure Phase changes Transitions 


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© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  • R. E. Rozas
    • 1
  • S. Díaz
    • 4
  • J. Quispe
    • 3
  • S. M. Acuña
    • 2
  • P. G. Toledo
    • 4
    Email author
  1. 1.Institut für Theoretische Physik der Weichen MaterieHeinrich Heine-Universität DüsseldorfDüsseldorfGermany
  2. 2.Department of Food EngineeringUniversity of Bio-BioChillánChile
  3. 3.Chemical Engineering DepartmentUniversidad Católica del NorteAntofagastaChile
  4. 4.Chemical Engineering Department and Surface Analysis Laboratory (ASIF)University of ConcepciónConcepciónChile

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