| 李洪,李嘉,李克锋,周鲁.泥沙的分形表面和分形吸附模型[J].水利学报,2003,34(3):0014-0018 |
| 泥沙的分形表面和分形吸附模型 |
| The fractal surface and fractal adsorption model of sediment |
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| DOI： |
| 中文关键词: 泥沙 分形表面 吸附模型 |
| 英文关键词: sediment fractal surface adsorption model |
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| 中文摘要: |
| 天然水体中泥沙对污染物的吸附过程对水质影响很大，己成为环境水力学研究领域中的热点问题之一。尽管采用分形理论分析泥沙颗粒表面现象方面取得了许多进展，但泥沙颗粒的分 维与污染物的吸附解吸的热力学和动力学特征之间的关系尚不清楚。针对这一问题，本文首 先介绍了分形几何学的基本概念、分形维数的定义以及分形表面的维数测定方法。并应用分形几何原理，从理论上推导出具有分形表面泥沙的分形吸附方程。这一方程与Freundlich等温吸附方程和Langmuir等温吸附方程相比更具有普遍意义。 |
| 英文摘要: |
| Water quality is greatly affected by the absorbing process of sediment to contaminant in nature waters. Although progresses have been made in analyzing the surface phenomena of sediment particles by applying the fractal theory, it is still unclear that the relationship between the fractal dimension of sediment paticles and thermodynamic and dynamic characteristics of the absorption and de absorption of contamination. The authors introduced the basic concepts of fractal geometry, the definition of fractal dimension and the fractal dimension measuring method of fractal surface. The equation of fractal absorption with the fractal surface sediment was deduced theoretically, based on the principle of fractal geometry. The equation was proved to be more general compared with both the Freundlich and Langmuir equations of isothermal absorption. |
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