A. R. Adler, Some new random field tools for spatial analysis, Stochastic Environmental Research and Risk Assessment, vol.420, issue.6, pp.809-822, 2008.
DOI : 10.1007/s00477-008-0242-6

. Bogdan, Microscopic model for concrete diffusivity prediction, Conference proceedings, EURO-C 2014: Computational Modelling of Concrete and Concrete Structures, pp.667-678, 2014.
DOI : 10.1201/b16645-75

]. Breugel-1991 and . Van-breugel-k, Simulation of hydration and formation of structure in hardening cement-based materials, 1991.

D. P. Bentz and . Garboczi-b, Digital-Image-Based Computer Modeling and Visualization of Cement-Based Materials, Digital Image Processing: Techniques and Application in Civil Engineering, 1991.
DOI : 10.3141/1526-16

R. Hill, Elastic properties of reinforced solids: Some theoretical principles, Journal of the Mechanics and Physics of Solids, vol.11, issue.5, 1963.
DOI : 10.1016/0022-5096(63)90036-X

H. Jennings and P. Tennis, Model for the Developing Microstructure in Portland Cement Pastes, Journal of the American Ceramic Society, vol.64, issue.10, 1994.
DOI : 10.1111/j.1151-2916.1994.tb04565.x

M. A. Mohamad, Applied Lattice Boltzmann Method for Transport Phenomena , Momentum, Heat & Mass Transfer, 2007.

&. Mori, . Tanaka, . Mori-t, and . Tanaka-k, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973.
DOI : 10.1016/0001-6160(73)90064-3

. Nourgaliev, The lattice Boltzmann equation method: theoretical interpretation, numerics and implications, International Journal of Multiphase Flow, vol.29, issue.1, pp.117-169, 2003.
DOI : 10.1016/S0301-9322(02)00108-8

&. Pouya, . Courtois, and . A. Pouya, D??finition de la perm??abilit?? ??quivalente des massifs fractur??s par des m??thodes d'homog??n??isation, Comptes Rendus Geoscience, vol.334, issue.13, pp.975-979, 2002.
DOI : 10.1016/S1631-0713(02)01839-4

T. C. Powers and . L. Brownyard-t, Studies of the physical properties of hardened Portland cement paste, Research Laboratories of the Portland Cement Paste, 1947.

J. Qiao, Modélisation des propriétés thermomécaniques effectives de dépôts élaborés par projection thermique, p.2012, 2012.

. Roubin, Meso-scale modeling of concrete: A morphological description based on excursion sets of Random Fields, Computational Materials Science, vol.102, p.2015, 2015.
DOI : 10.1016/j.commatsci.2015.02.039

URL : https://hal.archives-ouvertes.fr/hal-01130430

&. Servan-camas, . Sai, . B. Servan-camas, and . T. Sai-f, Non-negativity and stability analyses of lattice Boltzmann method for advection???diffusion equation, Journal of Computational Physics, vol.228, issue.1, pp.236-256, 2008.
DOI : 10.1016/j.jcp.2008.09.005

. A. Wolf-gladrow-d, Lattice-Gas Cellular automata and Lattice Boltzmann Models -An Introduction, 2000.

. Zhang, Lattice Boltzmann simulation of the ionic diffusivity of cement paste, International RILEM Conference on Advances in Construction Materials Through Science and Engineering, pp.1-9, 2011.

. Zhang, Modeling of ionic diffusivity in non-saturated cement-based materials using lattice Boltzmann method, Cement and Concrete Research, vol.42, issue.11, pp.1524-1533, 2012.
DOI : 10.1016/j.cemconres.2012.08.005