## Abstract

In this study we used the Kozeny-Carman (K-C) equation as a semi-physical model for estimating the soil permeability using data derived from microscope observations. Specific surface areas and porosities were obtained from two-point correlation functions derived from scanning electron microscope images of thin sections using a magnification of 50 and a resolution of 1.88 μm pixel^{-1}.Permeabilities were predicted using two published ('Ahuja' and 'Berryman') and one generalized variant of the K-C equation. The latter model was similar to the Berryman variant, but used a free parameter C rather than a porosity dependent formation factor. All K-C model variants were optimized on measured permeabilities. The Ahuja and Berryman K-C models performed relatively poorly with R^{2} values of 0.36 and 0.57, respectively, while the generalized model attained R^{2} values of 0.91. The parameter C was strongly related to texture and, to a lesser extent, particle density. The general model still required measured surface area and porosity. However, we showed that it was possible to estimate these parameters from texture resulting in an R^{2} of 0.87. A fully empirical model that did not assume K-C concepts performed slightly worse (R^{2} = 0.84). The results indicate that after developing the model using microscope information, only macroscopic data are necessary to predict permeability of soils in a semi-physical manner with the K-C equation.

Original language | English (US) |
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Pages (from-to) | 186-201 |

Number of pages | 16 |

Journal | Journal of Hydrology |

Volume | 251 |

Issue number | 3-4 |

DOIs | |

State | Published - Oct 1 2001 |

## Keywords

- Conductivity
- Correlation
- Microscopic methods
- Permeability
- Soils
- Thin sections

## ASJC Scopus subject areas

- Water Science and Technology