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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (8): 966-969    DOI: 10.1631/jzus.2004.0966
Environment Science     
Combinatorial model of solute transport in porous media
ZHANG Miao-xian, ZHANG Li-ping
College of Engineering, Zhejiang Forestry University, Lin\'an 311300, China; Institute of Soil and Water Resources and Environmental Science, College of Environmental and Resource Science, Zhejiang University, Hangzhou 310029, China
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Abstract  Modeling of solute transport is a key issue in the area of soil physics and hydrogeology. The most common approach (the convection-dispersion equation) considers an average convection flow rate and Fickian-like dispersion. Here, we propose a solute transport model in porous media of continuously expanding scale, according to the combinatorics principle. The model supposed actual porous media as a combinative body of many basic segments. First, we studied the solute transport process in each basic segment body, and then deduced the distribution of pore velocity in each basic segment body by difference approximation, finally assembled the solute transport process of each basic segment body into one of the combinative body. The simulation result coincided with the solute transport process observed in test. The model provides useful insight into the solute transport process of the non-Fickian dispersion in continuously expanding scale.

Key wordsModeling      Mass transport      Expanding scale      Combinatorics     
Received: 26 September 2003     
CLC:  X144  
Cite this article:

ZHANG Miao-xian, ZHANG Li-ping. Combinatorial model of solute transport in porous media. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(8): 966-969.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0966     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I8/966

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