Analysis of soil particle size distribution under reclaimed water irrigation based on multifractal theory
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DOI:10.7606/j.issn.1000-7601.2023.06.24
Key Words: reclaimed water irrigation  soil particle  generalized dimensional spectrum  multiple fractals  non\|homogeneity
Author NameAffiliation
ZHANG Xing College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
The Key Laboratory of Agricultural Soil and Water Engineering in Arid Areas Subordinated to the Ministry of Education, Northwest A&F University, Yangling, Shaanxi 712100, China 
XU Yangyang College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
The Key Laboratory of Agricultural Soil and Water Engineering in Arid Areas Subordinated to the Ministry of Education, Northwest A&F University, Yangling, Shaanxi 712100, China 
ZUO Xiyu College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
The Key Laboratory of Agricultural Soil and Water Engineering in Arid Areas Subordinated to the Ministry of Education, Northwest A&F University, Yangling, Shaanxi 712100, China 
WANG Tianyang College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
The Key Laboratory of Agricultural Soil and Water Engineering in Arid Areas Subordinated to the Ministry of Education, Northwest A&F University, Yangling, Shaanxi 712100, China 
FAN Xiangyang Institute of Farmland Irrigation of CAAS, Xinxiang, Henan 453000, China 
CHEN Junying College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
The Key Laboratory of Agricultural Soil and Water Engineering in Arid Areas Subordinated to the Ministry of Education, Northwest A&F University, Yangling, Shaanxi 712100, China 
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Abstract:
      Reclaimed water irrigation is an effective way to alleviate water shortages. To characterize the soil particle size distribution (PSD) after irrigation with reclaimed water, this study conducted indoor soil column simulation experiments. The experiment set up three water qualities: domestic wastewater (W1), reclaimed water 1 (W2) and reclaimed water 2 (W3), with tap water (W4) as the control. In this study, the percentage of soil particles was determined using a Malvern laser particle sizer and the fractal characteristics of soil PSD under four water quality treatments were analyzed using single and multiple fractal theory. The results showed: (1) Soil PSD showed a single\|peak distribution under the four water quality treatments. Compared with the W4 tap water treatment, soil clay content increased by about 0.40%~6.38% and sand content decreased by about 1.58%~13.80% under W2, W3 and W1 treatments. Although soil non\|uniformity increased, the differences between treatments were not significant. (2) Under reclaimed water irrigation, soil particles tended to be fine\|grained, and soil PSD multiple fractal parameters increased, and soil PSD tended to be inhomogeneous. In the 0~10 cm soil layer, the soil PSD multifractal parameters capacity dimension D(0), information dimension D(1), correlation dimension D(2) and multifractal singularity spectral width Δα (q) maximized under W3 treatment with 0.943, 0.837, 0.823 and 1.035, respectively. In the 10~20 cm soil layer, D(0), D(1), D(2) and Δα(q) were the largest under the W2 treatment with 0.943, 0.851, 0.852 and 1.009, respectively. (3) By correlation analysis, the multiple fractal parameters D(0), D(1), D(2), Δα(q), and α(0) of soil PSD were significantly positively correlated with soil clay grain content and negatively correlated with sand grain content. Soil fractal characteristics were controlled by the relative content of clay and sand grains in the soil. The above study showed that the spatial heterogeneity and non\|uniformity of soil PSD under irrigation with reclaimed water increased during the experimental period, which were able to be characterized quantitatively using over multiple fractal parameters. The study has a certain guiding and reference value for the efficient and safe utilization of renewable water resources.