Identifying the soil structure of the piedmont–plains by the fractal dimension of particle size Y., Wang G. (2019): Identifying the soil structure of the piedmont–plains by the fractal dimension of particle size. Soil & Water Res., 14: 212-220.
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Soil structure fundamentally determines the hydrodynamic characteristics of the saturated–unsaturated zone, solute transport characteristics, and thermodynamic properties of the soil. Additionally, it regulates the process of transfer and conversion of matter and energy in the saturated–unsaturated zone. However, the quantification of soil structure is difficult because it depends on a combination of factors including soil particle sizes and types and spatial distribution of pores. In this study, the structural characteristics of the vadose zone are examined based on self-similarity in the soil and the fractal theory of non-linear science. This approach describes the soil particle sizes and spatial distribution of pores in the interior layers of the soil. The study area stretches across 165 km of the piedmont–plains of the Taihang Mountains. The particle sizes and volume percentages of particle sizes in 57 soil samples were measured using the Mastersizer 2000 laser diffraction particle size analyser (Malvern Instruments, U.K.). This information is then combined with the volume-based fractal dimension (D), calculated using the fractal theory, of the various samples. The results obtained indicate that: (i) the fractal theory can be used to effectively identify the characteristics of three-dimensional structural changes within the soil profiles. The average soil particle size decreases from the piedmont of the Taihang Mountains towards the plains. Similarly, the volume percentage of particle size and the maximum volume percentage of a single particle size decreases. Moreover, the D values show an overall declining trend; (ii) the D values of the soils of the piedmont–plains of the Taihang Mountains show significant spatial variations in the range of 1.037–1.925. Although there is no correlation between the D value and soil particle size, the D value is very sensitive to the soil structure uniformity. The higher the uniformity, the greater is the D value; and (iii) D values cannot be used as the sole basis for determining the soil hydraulic properties. The D values and soil hydraulic properties are correlated only for a particular range of soil particle sizes.


Ahmadi A., Neyshabouri M.R., Rouhipour H., Asadi H. (2011): Fractal dimension of soil aggregates as an index of soil erodibility. Journal of Hydrology, 400: 305–311.
Anderson A.N., McBratney A.B., Fitzpatrick E.A. (1996): Soil mass, surface, and spectral fractal dimensions estimated from thin section photographs. Soil Science Society of America Journal, 60: 962–969.
Botula Y.D., Cornelis W.M., Baert G., Mafuka P., Ranst E.V. (2013): Particle size distribution models for soils of the humid tropics. Journal of Soils and Sediments, 13: 686–698.
Chandra S., Ahmed S., Rangarajan R. (2011): Lithologically constrained rainfall (LCR) method for estimating spatio-temporal recharge distribution in crystalline rocks. Journal of Hydrology, 402: 250–260.
Gao P., Niu X., Lv S.Q., Zhang G.C. (2014): Fractal characterization of soil particle-size distribution under different land-use patterns in the Yellow River Delta Wetland in China. Journal of Soils and Sediments, 14: 1116–1122.
Gargiulo L., Mele G., Terribile F. (2014): Effects of iron-based amendments on soil structure: a lab experiment using soil micromorphology and image analysis of pores. Journal of Soils and Sediments, 14: 1370–1377.
Ghanbarian B., Daigle H. (2015): Fractal dimension of soil fragment mass-size distribution: A critical analysis. Geoderma, 245–246: 98–103.
Gimenez D., Perfect E., Rawls W.J., Pachepsky Y. (1997): Fractal models for predicting soil hydraulic properties: a review. Engineering Geology, 48: 161–183.
He Y.J., Lin W.J., Wang G.L. (2013): In-situ monitoring on the soil sater-heat movement of deep vadose zone by TDR100 system. Journal of Jilin University (Earth Science Edition), 43: 1972–1979.
Hu H.C., Tian F.Q., Hu H.P. (2011): Soil particle size distribution and its relationship with soil water and salt under mulched drip irrigation in Xinjiang of China. Science China: Technological Sciences, 54: 1568–1574.
Min L.L., Shen Y.J., Pei H.W. (2015) Estimating groundwater recharge using deep vadose zone data under typical irrigated cropland in the piedmont region of the North China Plain. Journal of Hydrology, 527: 305–315.
Ozhovan M.I., Dmitriev I.E., Batyukhnova O.G. (1993): Fractal structure of pores in clay soil. Atomic Energy, 74: 241–243.
Peng H.T., Horton R., Lei T.W., Dai Z.C., Wang X.P. (2015): A modified method for estimating fine and coarse fractal dimensions of soil particle size distributions based on laser diffraction analysis. Journal of Soils and Sediments, 15: 937–948.
Peyton R.L., Gantzer C.J., Anderson S.H., Haeffner B.A., Pfeifer P. (1994): Fractal dimension to describe soil macropore structure using X ray computed tomography. Water Resources Research, 30: 691–700.
Sedaghat A., Bayat H., Safari S.A.A. (2016): Estimation of soil saturated hydraulic conductivity by artificial neural networks ensemble in smectitic soils. Eurasian Soil Science, 49: 347–357.
Yu Y., Wei W., Chen L.D., Feng T.J., Daryanto S., Wang L.X. (2017): Land preparation and vegetation type jointly determine soil conditions after long-term land stabilization measures in a typical hilly catchment, Loess Plateau of China. Journal of Soils and Sediments, 17: 144–156.
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