Comparison of two numerical modelling approaches to a field
experiment of unsaturated radon transport in a covered uranium mill
tailings soil (Lavaugrasse, France)
Zakaria Sa
^
adi
*
,J
er
^
ome Guillevic
Institut de Radioprotection et de Sûret e Nucl eaire (IRSN), PRP-DGE/SEDRAN/BRN, 31 Avenue de la Division Leclerc, Fontenay-aux-Roses, 92262, France
article info
Article history:
Received 25 November 2014
Received in revised form
6 March 2015
Accepted 13 March 2015
Available online xxx
Keywords:
Uranium mill tailings
Radon
Diffusion
Exhalation
Modelling
Uncertainty
abstract
Uncertainties on the mathematical modelling of radon (
222
Rn) transport in an unsaturated covered
uranium mill tailings (UMT) soil at field scale can have a great impact on the estimation of the average
measured radon exhalation rate to the atmosphere at the landfill cover. These uncertainties are usually
attributed to the numerical errors from numerical schemes dealing with soil layering, and to inadequate
modelling of physical processes at the soil/plant/atmosphere interface and of the soil hydraulic and
transport properties, as well as their parameterization. In this work, we demonstrate how to quantify
these uncertainties by comparing simulation results from two different numerical models to experi-
mental data of radon exhalation rate and activity concentration in the soil-gas measured in a covered
UMT-soil near the landfill site Lavaugrasse (France). The first approach is based on the finite volume
compositional (i.e., water, radon, air) transport model TOUGH2/EOS7Rn (Transport Of Unsaturated
Groundwater and Heat version 2/Equation Of State 7 for Radon; Sa^ adi et al., 2014), while the second one
is based on the finite difference one-component (i.e., radon) transport model TRACI (Transport de RAdon
dans la Couche Insatur ee; Ferry et al., 2001). Transient simulations during six months of variable rainfall
and atmospheric air pressure showed that the model TRACI usually overestimates both measured radon
exhalation rate and concentration. However, setting effective unsaturated pore diffusivities of water,
radon and air components in soil-liquid and gas to their physical values in the model EOS7Rn, allowed us
to enhance significantly the modelling of these experimental data. Since soil evaporation has been
neglected, none of these two models was able to simulate the high radon peaks observed during the dry
periods of summer. However, on average, the radon exhalation rate calculated by EOS7Rn was 34% less
than that was calculated by TRACI, and much closer to the measured one for physically-based soil radon
diffusion models. Unlike TRACI, EOS7Rn was able to simulate qualitatively seasonal variations of both
radon exhalation and concentration. These results show that EOS7Rn produces less numerical errors than
TRACI, and can be considered as a promising model for predicting radon transport in the landfill, if soil
evaporation is modelled and its numerical inversion for parameter estimation is realized.
© 2015 Elsevier Ltd. All rights reserved.
1. Introduction
Few modelling studies have been reported in the literature for
simulating in-situ experiments of transient two-phase (watereair)
flow and radon transport in covered uranium mill tailings soils at
landfill sites. Data-model comparison is very complicated
because of the need to characterize double porosity media (e.g.,
macropores) and to construct the local history of climate, hydrology
and bio-geo-chemistry of an UMT-landfill site.
First transient simulations of unsaturated radon transport in
UMT-landfill soils began with the works of Gee et al. (1984), Mayer
et al. (1981), Mayer and Gee (1983), and Simmons and Gee (1981)
who showed the importance of the long-term moisture content in
multidimensional numerical simulations for predicting the long-
term radon activity concentration in the soil-gas phase and exha-
lation from the long-term climatic history of the site. In their works,
however, Richards' approximation for the two-phase flow problem
has been considered and no data-model comparison has been made.
* Corresponding author. Tel.: þ33 158358898; fax: þ33 146290284.
E-mail address: zakaria.saadi@irsn.fr (Z. Sa^ adi).
Contents lists available at ScienceDirect
Journal of Environmental Radioactivity
journal homepage: www.elsevier.com/locate/jenvrad
http://dx.doi.org/10.1016/j.jenvrad.2015.03.019
0265-931X/© 2015 Elsevier Ltd. All rights reserved.
Journal of Environmental Radioactivity xxx (2015) 1e12
Please cite this article in press as: Sa^ adi, Z., Guillevic, J., Comparison of two numerical modelling approaches to a field experiment of unsaturated
radon transport in a covered uranium mill tailings soil (Lavaugrasse, France), Journal of Environmental Radioactivity (2015), http://dx.doi.org/
10.1016/j.jenvrad.2015.03.019