Application of the Poisson-Nernst-Planck equations to the migration test

Kristian Krabbenhøft, Jørgen Krabbenhøft

Research output: Contribution to journalJournal articleResearchpeer-review


The Poisson-Nernst-Planck (PNP) equations are applied to model the migration test. A detailed analysis of the equations is presented and the effects of a number of common, simplifying assumptions are quantified. In addition, closed-form solutions for the effective chloride diffusivity based on the full PNP equations are derived, a number of experiments are analyzed in detail, and a new, truly accelerated migration test is proposed. Finally, we present a finite element procedure for numerical solution of the PNP equations.
Original languageEnglish
JournalCement and Concrete Research
Issue number1
Pages (from-to)77-88
Publication statusPublished - 2008


  • diffusion
  • analytical solution
  • Poisson-Nernst-Planck
  • numerical analysis
  • chloride
  • migration test
  • cement
  • PNP
  • electro-diffusion


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