Surface permeability of particulate porous media

Penpark Sirimark, Alex V. Lukyanov, Tristan Pryer

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)


The dispersion process in particulate porous media at low saturation levels takes place over the surface elements of constituent particles and, as we have found previously by comparison with experiments, can be accurately described by superfast nonlinear diffusion partial differential equations. To enhance the predictive power of the mathematical model in practical applications, one requires the knowledge of the effective surface permeability of the particle-in-contact ensemble, which can be directly related with the macroscopic permeability of the particulate media. We have shown previously that permeability of a single particulate element can be accurately determined through the solution of the Laplace–Beltrami Dirichlet boundary value problem. Here, we demonstrate how that methodology can be applied to study permeability of a randomly packed ensemble of interconnected particles. Using surface finite element techniques, we examine numerical solutions to the Laplace–Beltrami problem set in the multiply-connected domains of interconnected particles. We are able to directly estimate tortuosity effects of the surface flows in the particle ensemble setting.

Original languageEnglish
Pages (from-to)637-654
Number of pages18
JournalTransport in Porous Media
Issue number2
Early online date19 Aug 2019
Publication statusPublished - 1 Nov 2019


  • Laplace–Beltrami equation
  • Permeability
  • Surface transport
  • Unsaturated porous media

ASJC Scopus subject areas

  • Catalysis
  • Chemical Engineering(all)


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