### Abstract

Transport phenomena in porous media depend strongly on three-dimensional pore structures. Macropore networks enable water and solute to move preferentially through the vadose zone. A complete representation of their geometry is important for understanding soil behaviour such as preferential flow. Once we know the geometrical, topological and scaling attributes of preferential flow paths, we can begin computer simulations of water movement in the soil. The box-counting method is used in three dimensions (i.e. cube-counting algorithm) to characterize the mass fractal dimension of macropore networks using X-ray computed tomography (CT) matrices. We developed an algorithm to investigate the mass fractal dimension in three dimensions and to see how it compares with the co-dimensions obtained using the box-counting technique in two dimensions. For that purpose, macropore networks in four large undisturbed soil columns (850 mm x 77 mm diameter) were quantified and visualized, in both two and three dimensions, using X-ray CT. We observed an increasing trend between the fractal dimension and macroporosity for the four columns. Moreover, similar natural logarithm functions were obtained for the four cores by a least squares fit through plots of mass fractal dimension against macroporosity.

Original language | English |
---|---|

Pages (from-to) | 569-579 |

Number of pages | 11 |

Journal | European Journal of Soil Science |

Volume | 54 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 2003 |

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### ASJC Scopus subject areas

- Soil Science
- Earth-Surface Processes

### Cite this

*European Journal of Soil Science*,

*54*(3), 569-579. https://doi.org/10.1046/j.1365-2389.2003.00546.x

**Mass fractal dimension of soil macropores using computed tomography : From the box-counting to the cube-counting algorithm.** / Perret, J. S.; Prasher, S. O.; Kacimov, A. R.

Research output: Contribution to journal › Article

*European Journal of Soil Science*, vol. 54, no. 3, pp. 569-579. https://doi.org/10.1046/j.1365-2389.2003.00546.x

}

TY - JOUR

T1 - Mass fractal dimension of soil macropores using computed tomography

T2 - From the box-counting to the cube-counting algorithm

AU - Perret, J. S.

AU - Prasher, S. O.

AU - Kacimov, A. R.

PY - 2003/9

Y1 - 2003/9

N2 - Transport phenomena in porous media depend strongly on three-dimensional pore structures. Macropore networks enable water and solute to move preferentially through the vadose zone. A complete representation of their geometry is important for understanding soil behaviour such as preferential flow. Once we know the geometrical, topological and scaling attributes of preferential flow paths, we can begin computer simulations of water movement in the soil. The box-counting method is used in three dimensions (i.e. cube-counting algorithm) to characterize the mass fractal dimension of macropore networks using X-ray computed tomography (CT) matrices. We developed an algorithm to investigate the mass fractal dimension in three dimensions and to see how it compares with the co-dimensions obtained using the box-counting technique in two dimensions. For that purpose, macropore networks in four large undisturbed soil columns (850 mm x 77 mm diameter) were quantified and visualized, in both two and three dimensions, using X-ray CT. We observed an increasing trend between the fractal dimension and macroporosity for the four columns. Moreover, similar natural logarithm functions were obtained for the four cores by a least squares fit through plots of mass fractal dimension against macroporosity.

AB - Transport phenomena in porous media depend strongly on three-dimensional pore structures. Macropore networks enable water and solute to move preferentially through the vadose zone. A complete representation of their geometry is important for understanding soil behaviour such as preferential flow. Once we know the geometrical, topological and scaling attributes of preferential flow paths, we can begin computer simulations of water movement in the soil. The box-counting method is used in three dimensions (i.e. cube-counting algorithm) to characterize the mass fractal dimension of macropore networks using X-ray computed tomography (CT) matrices. We developed an algorithm to investigate the mass fractal dimension in three dimensions and to see how it compares with the co-dimensions obtained using the box-counting technique in two dimensions. For that purpose, macropore networks in four large undisturbed soil columns (850 mm x 77 mm diameter) were quantified and visualized, in both two and three dimensions, using X-ray CT. We observed an increasing trend between the fractal dimension and macroporosity for the four columns. Moreover, similar natural logarithm functions were obtained for the four cores by a least squares fit through plots of mass fractal dimension against macroporosity.

UR - http://www.scopus.com/inward/record.url?scp=0141461765&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141461765&partnerID=8YFLogxK

U2 - 10.1046/j.1365-2389.2003.00546.x

DO - 10.1046/j.1365-2389.2003.00546.x

M3 - Article

VL - 54

SP - 569

EP - 579

JO - Journal of Soil Sciences

JF - Journal of Soil Sciences

SN - 0022-4588

IS - 3

ER -