Three-Dimensional Modeling of Mass Transfer in Porous Media Using the Mixed Hybrid Finite Elements and the Random-Walk Methods |
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| Authors: | H Hoteit R Mose A Younes F Lehmann and Ph Ackerer |
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| Institution: | (1) Institut de Mécanique des Fluides et des Solides, Université Louis Pasteur de Strasbourg, UMR CNRS 7507, 2, Rue Boussingault, F-67000 Strasbourg, France;(2) Département Physique et Mécanique, Faculté des Sciences et Techniques, 15 Avenue R. Cassin, B.P. 7151, 97715 St Denis Cedex 09, France |
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| Abstract: | A three-dimensional (3D) mass transport numerical model is presented. The code is based on a particle tracking technique: the random-walk method, which is based on the analogy between the advection–dispersion equation and the Fokker–Planck equation. The velocity field is calculated by the mixed hybrid finite element formulation of the flow equation. A new efficient method is developed to handle the dissimilarity between Fokker–Planck equation and advection–dispersion equation to avoid accumulation of particles in low dispersive regions. A comparison made on a layered aquifer example between this method and other algorithms commonly used, shows the efficiency of the new method. The code is validated by a simulation of a 3D tracer transport experiment performed on a laboratory model. It represents a heterogeneous aquifer of about 6-m length, 1-m width, and 1-m depth. The porous medium is made of three different sorts of sand. Sodium chloride is used as a tracer. Comparisons between simulated and measured values, with and without the presented method, also proves the accuracy of the new algorithm. |
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| Keywords: | mass transport modeling advection– dispersion equation random-walk method laboratory model |
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