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A fractal model for soil pores and its application to determination of water permeability

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  • Xu, Yong Fu
  • Sun, De’ An

Abstract

Soils are generally penetrated by a pore system. Most transport processes usually occur in pore space of soils. The description of pore space shape is necessary to quantify how the geometry influences the percolation of substances such as water and nutrients. In this paper, the pores in soils are described by fractal geometry, and the fractal dimension is obtained from porosimetric measurements. The water permeability function is studied to correlate with the pore-size distribution of unsaturated soils, and is derived from the fractal model of pore-size distribution. The comparisons between the collected data of permeability and the proposed permeability function show that the calculations of the proposed permeability function are in satisfactory agreements with the measurements.

Suggested Citation

  • Xu, Yong Fu & Sun, De’ An, 2002. "A fractal model for soil pores and its application to determination of water permeability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 56-64.
    • Handle: RePEc:eee:phsmap:v:316:y:2002:i:1:p:56-64
    DOI: 10.1016/S0378-4371(02)01331-6
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    Cited by:

    1. Gaoliang Tao & Yin Chen & Lingwei Kong & Henglin Xiao & Qingsheng Chen & Yuxuan Xia, 2018. "A Simple Fractal-Based Model for Soil-Water Characteristic Curves Incorporating Effects of Initial Void Ratios," Energies, MDPI, vol. 11(6), pages 1-20, June.
    2. Dong Xia & Yusong Deng & Shuling Wang & Shuwen Ding & Chongfa Cai, 2015. "Fractal features of soil particle-size distribution of different weathering profiles of the collapsing gullies in the hilly granitic region, south China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 79(1), pages 455-478, October.

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