Analytical solutions for accelerated transport of particles in porous media with considering adsorption-desorption effect

被引:0
作者
Chen Xing-xin [1 ]
Bai Bing [2 ]
Cai Qi-peng [1 ]
机构
[1] Huaqiao Univ, Sch Civil Engn, Xiamen 361021, Fujian, Peoples R China
[2] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China
关键词
particle; porous media; adsorption; desorption; analytical solution;
D O I
10.16285/j.rsm.2015.06.023
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
The governing equation for particle accelerated transport is developed with considering adsorption-desorption effects, and then analytical solutions for particle instantaneous injection and periodic injection with point and surface sources are obtained using Laplace and Fourier transforms. Experiments on the particle instantaneous injection for point source are carried out. Comparisons between the experimental and theoretical results show that the proposed procedure can simulate the particle transport reasonably well. In addition, the transport parameters are analyzed for the case of particle instantaneous injection for the point source. It is shown that the peak concentration of particles decreases with the increase of adsorption coefficient. The effect of desorption coefficient on the curve part on the right of peak concentration is trivial; however, for the curve part on the left of the peak concentration, desorption coefficient affects both the particle concentration and the particle transport time. Furthermore, the shapes of the concentration contours in the x-y plane are approximately elliptic, and the range of the concentration contours increases with the increase of desorption coefficient. The contour gradients at upper and lower sides of the peak concentration decrease with the increase of dispersion coefficient. The study results provide a theoretical basis for various engineering items such as the underground pollutant treatment, exploration of groundwater, nuclear waste disposal and land filling of municipal solid wastes, and so on.
引用
收藏
页码:1698 / 1706
页数:9
相关论文
共 20 条
  • [1] Bradford S.A., Morales V.L., Zhang W., Et al., Transport and fate of Microbial pathogens in agricultural settings, Critical Reviews in Environmental Science and Technology, 43, 8, pp. 775-893, (2013)
  • [2] Tufenkji N., Elimelech M., Deviation from classical colloid filtration theory in the presence of repulsive DLVO interactions, Langmuir, 20, 25, pp. 10818-10828, (2004)
  • [3] Bedrikovetsky P., Caruso N., Analytical model for fines migration during water injection, Transport in Porous Media, 101, 2, pp. 161-189, (2014)
  • [4] Logan B.E., Jewett D.G., Arnold R.G., Et al., Clarification of clean-bed filtration models, Journal of Environmental Engineering, 121, 12, pp. 869-873, (1995)
  • [5] Bradford S.A., Yates S.R., Bettahar M., Et al., Physical factors affecting the transport and fate of colloids in saturated porous media, Water Resources Research, 38, 12, pp. 1327-1338, (2002)
  • [6] Bolster C.H., Mills A.L., Hornberger G.M., Et al., Spatial distribution of deposited bacteria following miscible displacement experiments in intact cores, Water Resources Research, 35, 6, pp. 1797-1807, (1999)
  • [7] Shapiro A.A., Bedrikovetsky P.G., A stochastic theory for deep bed filtration accounting for dispersion and size distributions, Physica A: Statistical Mechanics and its Applications, 389, 13, pp. 2473-2494, (2010)
  • [8] Tufenkji N., Redman J.A., Elimelech M., Interpreting deposition patterns of microbial particles in laboratory-scale column experiments, Environmental Science and Technology, 37, 3, pp. 616-623, (2003)
  • [9] Bergendahl J.A., Grasso D., Mechanistic basis for particle detachment from granular media, Environmental Science and Technology, 37, 10, pp. 2317-2322, (2003)
  • [10] Bedrikovetsky P., Siqueira F.D., Furtado C.A., Et al., Modified particle detachment model for colloidal transport in porous media, Transport in Porous Media, 86, 2, pp. 353-383, (2011)