Modeling of retention and re-entrainment of mono- and poly-disperse
particles: Effects of hydrodynamics, particle size and interplay of
different-sized particles retention
Enze Ma, Tariq Ouahbi ⁎, Huaqing Wang, Nasre-Dine Ahfir, Abdellah Alem, Ahmed Hammadi
Normandie UNIV, UNIHAVRE, UMR 6294, CNRS, LOMC, 76600 Le Havre, France
HIGHLIGHTS
• Numerical model of transport, retention
and re-entrainment in porous media
• Particle retention and re-entrainment
dynamics under different hydrodynam-
ic conditions
• Wedged particles drastically restrain
the re-entrainment of the smallest.
• Strained and wedged larger particles
supply excess retention sites for the
smallest.
GRAPHICAL ABSTRACT
abstract article info
Article history:
Received 16 December 2016
Received in revised form 27 March 2017
Accepted 28 March 2017
Available online xxxx
Editor: Kevin V. Thomas
In this paper, numerical simulations of experimental data were performed with kinetic rate coefficients to char-
acterize the retention and re-entrainment dynamics under different hydrodynamic conditions for monodisperse
and polydisperse latex particles (3, 10, 16 μm and the mixture). The results show that drastic increase in fluid ve-
locity provokes hardly any remarkable decrease in retention in the presence of large energy barriers (N 2000 kT).
Systematical increases in deposition and re-entrainment dynamic rates were observed with fluid velocity and/or
particle size. Increased irreversible deposition rate indicates straining and wedging dominate deposition in this
study. Excess retention of 3 μm particle in the polydisperse particle suspension was observed. The origins are
reckoned that deposited larger particles may hinder the re-entrainment of smaller particles near the grain-to-
grain contact and can provide additional sites of attachment.
© 2017 Elsevier B.V. All rights reserved.
Keywords:
Transport
Deposition
Numerical modeling
Straining and wedging
BTC
1. Introduction
For more than recent four decades, the colloid filtration theory (CFT)
stemming from Yao et al. (1971) has been supplying the basis for a func-
tioning theory to predict particle transport and removal in homoge-
neous porous media without particle-grain repulsion. However in
aquifers, both particles and porous medium grain typically are found
to be negatively charged and the subsurface water generally has a low
ionic strength and neutral pH (Bradford et al., 2006a). Under these con-
ditions, the electrical double layer interaction is repulsive, yielding an
energy barrier for attachment (so-called unfavorable conditions). Near-
ly no particle deposition is predicted by existing models derived from
CFT in the presence of energy barriers (see Fig. 1) because these models
are constructed on the basis of the hypothesis of totally equivalent sur-
face characteristics (e.g. zeta potentials and surface topography) across
the whole surfaces. However significant deviations were often found
between the predictions with mean-filed approaches and experimental
Science of the Total Environment 596–597 (2017) 222–229
⁎ Corresponding author.
E-mail address: tariq.ouahbi@univ-lehavre.fr (T. Ouahbi).
http://dx.doi.org/10.1016/j.scitotenv.2017.03.254
0048-9697/© 2017 Elsevier B.V. All rights reserved.
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