| Fractal analysis of polyferric chloride-humic acid （PFC-HA） flocs in different topological spaces |
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| 作者单位： | WANG Yili,LU Jia,DU Baiyu(College of Environmental Science and Engineering, The Key Laboratory for Silviculture and Conservation of Ministry of Education and Beijing, Beijing Forestry University, Beijing 100083, China);SHI Baoyou,WANG Dongsheng(State Key Laboratory of Environmental Aquatic Chemistry, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China)
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| 基金项目： | 国家自然科学基金，the Fok-YingTung Education Foundation of National Education Ministry，the Beijing Municipal Commission of Education Project |
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| 摘 要： |
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| 关 键 词： | 氯化物 拓扑空间 图像分析 有效密度 |
Fractal analysis of polyferric chloride-humic acid(PFC-HA) flocs in different topological spaces |
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| Authors: | WANG Yili LU Jia DU Baiyu SHI Baoyou WANG Dongsheng |
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| Institution: | 1. College of Environmental Science and Engineering, The Key Laboratory for Silviculture and Conservation of Ministry of Education and Beijing, Beijing Forestry University, Beijing 100083, China
2. State Key Laboratory of Environmental Aquatic Chemistry, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China |
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| Abstract: | The fractal dimensions in different topological spaces of polyferric chloride-humic acid (PFC-HA) flocs, formed in flocculating different kinds of humic acids (HA) water with different initial pH (9.00, 7.00, 5.00) and PFC dosages, were calculated by effective density-maximum diameter, image analysis, and N2 absorption-desorption methods, respectively. The mass fractal dimensions (Df) of PFC-HA flocs, being more than 2.0, calculated by bi-logarithm relation of effective density-maximum diameter and Logan empirical formula at initial pH of 7.00 had 11-13 percentage greater than those at pH 9.00 and 5.00, indicating the most compact flocs formed in flocculated HA water at initial pH of 7.00. The image analysis for those flocs indicates that after flocculating the HA water at initial pH greater than 7.00 with PFC flocculant, the fractal dimensions of D2 (logA vs. logdL) and D3 (logVsphere vs. logdL) of PFC-HA flocs decreased with the increase of PFC dosages, and PFC-HA flocs showed a gradually looser structure. At the optimum dosage of PFC, the D2 (logA vs. logdL) values of the flocs show 14%--43% difference with their corresponding Df, and they even had different tendency as the change of initial pH values. However, the D2 values of the flocs formed at three different initial pH in HA solution, calculated from the horizontal projected images with magnification about 9, had a same tendency with the corresponding Df. Based on fractal Frenkel-Halsey-Hill (FHH) adsorption and desorption equations, the pore surface fractal dimensions (Ds) for dried powders of PFC-HA flocs formed in HA water with initial pH 9.00 and 7.00 were all close to 2.9421, and the Ds values of flocs formed at initial pH 5.00 were less than 2.3746. It indicated that the pore surface fractal dimensions of PFC-HA flocs dried powder mainly show the irregularity from the mesopore-size distribution and some marcopore-size distribution. |
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| Keywords: | polyferric chloride-humic acid (PFC-HA) flocs topological spaces fractal dimensions effective density image analysis pore surface fractal |
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