caa a22 4500 463177649 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10596-006-9038-2 doi (NATIONALLICENCE)springer-10.1007/s10596-006-9038-2 Finite element evaluation of diffusion and dispersion tensors in periodic porous media with advection [Elektronische Daten] [P. Tardif d'Hamonville, A. Ern, L. Dormieux] This paper presents three-dimensional finite element simulations to evaluate diffusion and dispersion tensors in periodic porous media in the presence of an advective velocity field. These tensors are evaluated in the framework of the double-scale expansion technique. Two problems, a Newtonian flow and a vector-valued advection-diffusion equation, have to be sequentially solved at the pore scale. Finite element techniques to approximate these problems are proposed and analyzed. Numerical results in three-dimensional networks of spheres are presented to quantitatively assess the impact of the pore morphology and of the advection velocity on the diffusion and dispersion tensors. Springer Science+Business Media, Inc., 2007 diffusion nationallicence discrete divergence-free velocity nationallicence dispersion nationallicence double-scale expansion nationallicence finite elements nationallicence periodic porous media nationallicence Tardif d'Hamonville P. CERMICS, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut Ern A. CERMICS, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut Dormieux L. LMSGC, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut Computational Geosciences Kluwer Academic Publishers 11/1(2007-03-01), 43-58 1420-0597 11:1<43 2007 11 10596 https://doi.org/10.1007/s10596-006-9038-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-006-9038-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tardif d'Hamonville P. CERMICS, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut NATIONALLICENCE 700 1- Ern A. CERMICS, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut NATIONALLICENCE 700 1- Dormieux L. LMSGC, Ecole Nationale des Ponts et Chaussées, Champs sur Marne, 77455, Marne la Vallée Cedex 2, France aut NATIONALLICENCE 773 0- Computational Geosciences Kluwer Academic Publishers 11/1(2007-03-01), 43-58 1420-0597 11:1<43 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer