Investigation the relationship between the fractal dimension of soil particles with different types of erosion and different parent materials

Document Type : Original Article

Authors
Nastran Sadeghzadeh 1
Ali Golkarian 2
Mohammad Jahani 3
1 Graduated in Watershed Management, Faculty of Natural Resources and Environment, Ferdowsi University of Mashhad
2 Faculty of Natural Resources and Environment, Ferdowsi University of Mashhad
3 M.Sc student of watershed Management, Ferdowsi University of Mashhad
10.22034/wmji.2024.2023585.1055
Abstract
Soil erosion is a global problem that reduce soil fertility and water quality Proper evaluation of the factor’s affecting erosion is the first step in choosing solution to reduce and control this destructive phenomenon. Important parameters that can be examined in this issue are soil texture, size and quality soil grains and type of bedrock, which can affect the soil erodibility coefficient. Fractal dimension (Df) of particle size distribution (PSD) and fractal dimension of aggregate size distribution (ASD) have been introduced as a predictor of soil texture-related properties. The purposes of this study were to investigate the relations between fractal dimension and various forms of erosion, including surface erosion, rill and badland, also to investigate the relations between fractal dimension and various forms of bedrock and to study the mean weight diameter (MWD), aggregate stability (AS) and aggregate degradation (PAD). Fractal dimension was computed by Yong and Crawford model using the data of particle size distribution experiments by the method of wet and dry sieve and aggregate size distribution by submerged sieve method. Bulk density by weighted method and specific surface area by EGME method were determined. The results of statistical analysis showed that different forms of erosion and bedrock are related to the fractal dimension. In other words, with the development of the erosion form, the fractal dimension increased, so badland had the highest and surface erosion had the smallest fractal dimension. Also, among various bedrocks, with decrease in resistance and increase in erodibility, Df was increased. In addition, fractal dimension had a positive correlation with MWD and AS and negative correlation with PAD. Finally, it can be concluded that due to the ease of calculating the fractal dimension of soil and its proper relationship with erosion, this index can be used in the quantitative and qualitative assessment of soil erosion.
Keywords
Particle size
Rock type
Soil erosion types
Soil grain size
Soil grain stability

  1. Amirinejad, A., and Ghotbi, S. 2018. The impact of land use change on soil physical quality in Gilan-e-Gharb region. Journal of Water and Soil Science, 22(2). (In Persian).

    1. Bottomley, P. J., Angle, J. S., and Weaver, R. W. (Eds.). 2020. Methods of soil analysis, Part 2: Microbiological and biochemical properties (Vol. 12). John Wiley & Sons.
    2. Davari, M., Zalvaee, Z., and Mahmoodi, M. A. 2019. A Comparison Between Empirical and Fractal Models Fitted to the Measured Soil Moisture Characteristic Curve Data. Iranian Journal of Soil and Water Research, 50(4): 862-847. (In Persian).
    3. Esmali Ouri, A., and Kateb, F. 2020. Study of Soil Erosion Potential Using Landscape Measurements (Case Study: Sharif Beiglou Watershed, Ardabil Province). Hydrogeomorphology, 7(24): 145-164. (In Persian).
    4. Fu, X., Ding, H., Sheng, Q., Zhang, Z., Yin, D., and Chen, F. 2022. Fractal analysis of particle distribution and scale effect in a soil–rock mixture. Fractal and Fractional, 6(2): 120.
    5. Gao, Z., Niu, F., Lin, Z., and Luo, J. 2021. Fractal and multifractal analysis of soil particle-size distribution and correlation with soil hydrological properties in active layer of Qinghai–Tibet Plateau, China. Catena, 203, 105373.
    6. Hasanzadeh, N., Gholami, L., Khaledi, Darvishan A., and Yonesi, H. 2021. Effect of Various Rates of Montmorillonite Nanoclay on Changing Runoff and Soil Loss. Journal of Water and Soil Science, 25 (1): 219-230. (In Persian).
    7. Keshavarzi, A., Tuffour, H. O., Bagherzadeh, A., and Duraisamy, V. A. S. U. 2018. Spatial and fractal characterization of soil properties across soil depth in an agricultural field, Northeast Iran. Eurasian Journal of Soil Science, 7(2): 93-102,
    8. Le Bissonnais, Y., Prieto, I., Roumet, C., Nespoulous, J., Metayer, J., Huon, S., and Stokes, A. 2018. Soil aggregate stability in Mediterranean and tropical agro-ecosystems: effect of plant roots and soil characteristics. Plant and Soil, 424, 303-317.
    9. Li, K., Yang, H., Han, X., Xue, L., Lv, Y., Li, J., and Zhang, Y. 2018. Fractal features of soil particle size distributions and their potential as an indicator of Robinia pseudoacacia invasion1. Scientific Reports, 8(1): 7075.
    10. Liu, Y., Gong, Y. M., Wang, X., Hu, Y. K. 2013 Volume fractal dimension of soil particles and relationships with soil physical-chemical properties and plant species diversity in an alpine grassland under different disturbance degrees. J Arid Land 5(4):480–487.
    11. Ma, X., Zhao, C., and Zhu, J. 2021. Aggravated risk of soil erosion with global warming–A global meta-analysis. Catena, 200, 105129.
    12. Mahallati, S. Z., Pazira, E., Abbasi, F., and Babazadeh, H. 2018. Estimation of soil water retention curve using fractal dimension. Journal of Applied Sciences and Environmental Management, 22(2): 173-178.
    13. Marschalko, M., Zięba, Z., Niemiec, D., Neuman, D., Mońka, J., and Dąbrowska, J. 2021. Suitability of engineering-geological environment on the basis of its permeability coefficient: Four case studies of fine-grained soils. Materials, 14(21): 6411.
    14. Meegoda, J. N., and Martin, L. 2019. In-situ determination of specific surface area of clays. Geotechnical and Geological Engineering, 37, 465-474.
    15. Mezbani, M., Rezaei Moghadam, M., and Hejazi, A. 2021. Assessment of soil erosion risk in land uses using Revised Universal Soil Loss Equation (Case Study: Sikan Basin). Journal of Geography and Environmental Hazards, 10(1): 41-63. (In Persian).
    16. Mohammad Mahdi, C., and Dahmardeh Ghaleno, M. R. 2020. Evaluating fractal dimension of the soil particle size distributions and soil water retention curve obtained from soil texture components. Archives of Agronomy and Soil Science, 66(12):1668-1678.
    17. Qi, F., Zhang, R., Liu, X., Niu, Y., Zhang, H., Li, H., and Zhang, G. 2018. Soil particle size distribution characteristics of different land-use types in the Funiu mountainous region. Soil and Tillage Research, 184, 45-51.
    18. Sadikhani, M. R. 2019. Prediction of Cation Exchange Capacity using fractal dimension of soil particle size distribution. Applied Soil Research, 7(2): 56-66. (In Persian).
    19. Senesi, N., and Loffredo, E. 2018. The chemistry of soil organic matter. In Soil physical chemistry (pp. 239-370). CRC press.
    20. Sepaskhah, A. R. and Tafteh, A. 2011. Pedotransfer function for estimation of soil-specific surface area using soil fractal dimension of improved particle-size distribution. Archives of Agronomy and Soil Science 1-11.
    21. Shabani, S., Zeinalzadeh, K., and Rezaei, E. 2021. The performance of fractal models in estimating soil particle size distribution. Applied Soil Research, 8(4): 158-168. (In Persian).
    22. Tagar, A. A., Adamowski, J., Memon, M. S., Do, M. C., Mashori, A. S., Soomro, A. S., and Bhayo, W. A. 2020. Soil fragmentation and aggregate stability as affected by conventional tillage implements and relations with fractal dimensions. Soil and Tillage Research, 197, 104494.
    23. Wang, Z., Hasi, E., Han, X., and Qingda, M. 2024. Fractal characterization of soil particle size distribution under different land use patterns on the north slope of Wula Mountain in China. Journal of Soils and Sediments, 1-17.
    24. Xiaodan, W., and Mai-He, Li. 2006. Fractal characteristics of soils under different land-use patterns in the arid and semiarid regions of the Tibetan Plateau, China, Geoderma 134:56– 61.
    25. Young, I., and J. Crawford, 1993. The fractal structure of soil aggregates: its measurement, and interpretation. Journal of Soil Science 42: 187-192.
    26. Zambon, N., Johannsen, L. L., Strauss, P., Dostal, T., Zumr, D., Cochrane, T. A., and Klik, A. 2021. Splash erosion affected by initial soil moisture and surface conditions under simulated rainfall. Catena, 196, 104827.
    27. Zhu, X., Cai, J., Wang, G., and Ji, J. 2020. The influence of organic matter on mineral surface area measurement of mudrocks by ethylene glycol monoethyl ether adsorption. Applied Clay Science, 193, 105666.