中国科学技术大学学报 ›› 2017, Vol. 47 ›› Issue (5): 421-425.DOI: 10.3969/j.issn.0253-2778.2017.05.007

• 论著 • 上一篇    下一篇

多孔介质中溶质non-Fickian运移模型与实验研究

钱家忠,周杨,李福林,刘咏   

  1. 1.合肥工业大学资源与环境工程学院,安徽合肥 230009; 2.山东省水利科学研究院, 山东济南 250013;
    3. 合肥工业大学生物与食品工程学院,安徽合肥 230009
  • 收稿日期:2016-04-11 修回日期:2016-06-22 出版日期:2017-05-31 发布日期:2017-05-31
  • 通讯作者: 钱家忠
  • 作者简介:钱家忠(通讯作者),男,1968年生,博士/教授.研究方向:地下水污染防治.E-mail:qianjiazhong@hfut.edu.cn
  • 基金资助:
    国家自然科学基金(41372245,41272251),山东省水生态文明试点科技支撑计划资助.

Non-Fickian model and experimental study of solute transport in porous media

QIAN Jiazhong, ZHOU Yang, LI Fulin, LIU Yong   

  1. 1.School of Resources and Environmental Engineering, Hefei University of Technology , Hefei 230000, China;
    2. Shandong Academy of Water Conservancy , Jinan 250013, China;
    3. School of Biotechnology and Food Engineering,Hefei University of Technology , Hefei 230000, China
  • Received:2016-04-11 Revised:2016-06-22 Online:2017-05-31 Published:2017-05-31

摘要: 为了量化多孔介质中的非费克(non-Fickian)运移,将弥散度处理为随运移距离呈线性变化的函数,提出了数学模型LAF(linear-asymptotic function),并开展了不同条件下一维玻璃柱多孔介质溶质运移实验,根据实验数据对比分析了LAF模型与传统ADE (advection-dispersion equation)模型的精度.结果表明:尽管在水流满足达西定律范畴,采用将弥散度在小尺度实验中设定为定值的ADE模型,其拟合值与实验值仍存在一定差异, 最大误差为1.57 g/L;将弥散度处理为线性函数的LAF模型模拟精度有了较大提高,最大误差为0.62 g/L,从而能够更好地模拟均质有限柱溶质运移过程.上述结论是在均质介质中获得,对于非均质介质,情况更为复杂,其机理有待进一步研究.

关键词: 溶质运移, LAF(linear-asymptotic function)模型, ADE(advection-dispersion equation)模型, 弥散, 弥散度

Abstract: To quantify the non-Fickian transport in porous media, a linear function was employed to characterize the relationship between the dispersivity and migration distance, a mathematical model LAF(Linear-Asymptotic Function) was presented, solute transport tests in one-dimensional glass column were carried out, and the accuracy of LAF was contrasted with the traditional ADE (advection-dispersion equation) models according to experimental data. The results show that, although the flow satisfies Darcy’s law, there are some differences between the experimental values and the fitted values obtained from the ADE model treating the dispersivity as a constant(the maximal error value being 1.57 g/L).#br##br##br##br#The simulation accuracy is enhanced when the dispersivity is treated as a linear function of LAF:#br##br# the maximal error value is 0.62 g/L. It can better simulate solute transport in the homogeneous finite column. These conclusions have been obtained in homogeneous media. The situation is more complicated in heterogeneous porous media, and the mechanism needs further research.

Key words: solute transport, LAF(linear-asymptotic function) model, ADE (advection-dispersion equation) model, dispersion;dispersivity

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