Comparison of three models of dispersion in dual porosity media |
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| Authors: | E Carlier |
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| Institution: | (1) UMR CNRS 8107 “Laboratoire de Mécanique de Lille”, Ecole Polytechnique Universitaire de Lille, Université des sciences et technologies de Lille, Avenue Paul Langevin, 59655 Villeneuve d’Ascq cedex, France |
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| Abstract: | The work presented in this paper shows that the probabilistic approach as well as the fractional Brownian motion model are
reliable to simulate the dispersion of contaminant in the dual porosity media. Three models were tested on experimental data
obtained by tracer tests in chalk characterized by a primary and a secondary porosity: a numerical model (MT3DMS), a probabilistic
model based on the Bayesian approach and a fractional Brownian model. By using Einstein’s rule, it is demonstrated that the
dispersion coefficient is time dependent and that the dispersion is ballistic which is a particular case of superdiffusion.
A test of sensitivity was carried out and shows that the numerical model is slightly suitable to simulate the concentration
in time and space for a given discharge starting from the physical parameters obtained by calibration for an other discharge
because of the great sensitivity of its parameters according to the hydrodynamic conditions. On the other hand, the variability
of the parameters of the two other models does not generate important errors on the values of simulated concentrations when
other hydrodynamic conditions are considered. |
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| Keywords: | Dual porosity Probability Dispersion Fractional Brownian motion Numerical model |
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