Equivalent cylinder systems representing the soil matrix in diffusion-reaction models

C. Rappoldt, J.H.G. Verhagen

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

The structure of an aggregated soil or a dual-porosity medium is characterized by a function called the generalized surface-area-to-volume ratio, which can be measured as a distance distribution. For an isotropic structure the distance measurements may be done in the digitized image of a cross-section. A diffusion-reaction process in the soil matrix can be described by means of an equivalent cylinder system which preserves the generalized surface-area-to-volume ratio of the structure. The contribution of each cylinder radius is described by a weight function, which is obtained by transforming the measured cross-sectional distance distribution. In order to test the method, a diffusion-reaction model from the literature has been applied to spheres with a lognormal radius distribution and to an irregular, generated structure. Both geometries can be represented by just a few cylinder radii and cylinder weights. The method works best for dual-porosity structures with a convex shape. Deviations occur if parts of the matrix structure have a concave shape.
Original languageEnglish
Pages (from-to)1-24
JournalTransport in Porous Media
Volume37
DOIs
Publication statusPublished - 1999

Keywords

  • soil texture
  • soil structure
  • diffusion

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