J. Balach, F. Miguel, F. Soldera, D. Acevedo, F. Mücklich et al., A Direct and Quantitative Three-Dimensional Reconstruction of the Internal Structure of Disordered Mesoporous Carbon with Tailored Pore Size, Microscopy and Microanalysis, vol.187, issue.03, pp.745-750, 2012.
DOI : 10.1038/nmat1668

E. Barsoukov and J. Macdonald, Impedance Spectroscopy: Theory, Experiment, and Applications Diffuse-charge dynamics in electrochemical systems, Phys Rev E, vol.70, p.21506, 2004.
DOI : 10.1002/0471716243

M. Beran, Use of the variational approach to determine bounds for the effective permittivity in random media, Il Nuovo Cimento Series, vol.10, issue.2, pp.38771-782, 1965.

B. Conway, Electrochemical Supercapacitors: Scientific Fundamentals and Technological Applications. Springer US de Levie R (1963) On porous electrodes in electrolyte solutions: I. capacitance effects, Electrochimica Acta, vol.8, issue.10, pp.751-780, 2013.
DOI : 10.1007/978-1-4757-3058-6

D. Duffy, Green's Functions with Applications, Applied Mathematics, vol.38, 2001.
DOI : 10.1201/9781420034790

D. Eyre and G. Milton, A fast numerical scheme for computing the response of composites using grid refinement, The European Physical Journal Applied Physics, vol.4, issue.1, pp.41-47, 1999.
DOI : 10.1103/PhysRevB.41.2417

R. Grzhibovskis and A. Heintz, A Convolution-Thresholding Approximation of Generalized Curvature Flows, SIAM Journal on Numerical Analysis, vol.42, issue.6, pp.2652-2670, 2005.
DOI : 10.1137/S0036142903431316

T. Hutzenlaub, J. Becker, R. Zengerle, and S. Thiele, How Coarsening the 3D Reconstruction of a Porous Material Influences Diffusivity and Conductivity Values, ECS Electrochemistry Letters, vol.2, issue.2, pp.14-17, 2013.
DOI : 10.1149/2.006302eel

D. Jeulin, Random texture models for material structures, Statistics and Computing, vol.10, issue.2, pp.121-132, 2000.
DOI : 10.1023/A:1008942325749

D. Jeulin, Random Structures in Physics, Space, Structure and Randomness, pp.183-219, 2005.
DOI : 10.1007/0-387-29115-6_9

D. Jeulin and M. Moreaud, Multi-scale simulation of random spheres aggregatesapplication to nanocomposites, 9th European Congress on Stereology and Image Analysis, pp.341-348, 2005.

P. Jørgensen, K. Hansen, R. Larsen, and J. Bowen, A framework for automatic segmentation in three dimensions of microstructural tomography data, Ultramicroscopy, vol.110, issue.3, pp.216-228, 2010.
DOI : 10.1016/j.ultramic.2009.11.013

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.3647-3679, 1314.
DOI : 10.1016/S0020-7683(03)00143-4

G. Matheron, Elements pour une théorie des milieux poreux Random Sets and Integral Geometry. Wiley series in probability and mathematical statistics, Probability and mathematical statistics, 1967.

G. Milton, Bounds on the elastic and transport properties of two-component composites, Journal of the Mechanics and Physics of Solids, vol.30, issue.3, pp.177-191, 1982.
DOI : 10.1016/0022-5096(82)90022-9

A. Nanjundappa, A. Alavijeh, M. Hannach, D. Harvey, and E. Kjeang, A customized framework for 3-D morphological characterization of microporous layers, Electrochimica Acta, vol.110, pp.349-357, 2013.
DOI : 10.1016/j.electacta.2013.04.103

G. Paasch, K. Micka, and P. Gersdorf, Theory of the electrochemical impedance of macrohomogeneous porous electrodes, Electrochimica Acta, vol.38, issue.18, pp.2653-2662, 1993.
DOI : 10.1016/0013-4686(93)85083-B

G. Papanicolau, A. Bensoussan, and J. Lions, Asymptotic Analysis for Periodic Structures, Studies in Mathematics and its Applications, 1978.

T. Prill, K. Schladitz, D. Jeulin, M. Faessel, and C. Wieser, Morphological segmentation of FIB-SEM data of highly porous media, Journal of Microscopy, vol.7, issue.9, pp.77-87, 2013.
DOI : 10.1007/978-3-662-03939-7

URL : https://hal.archives-ouvertes.fr/hal-00879709

K. Roßberg, G. Paasch, L. Dunsch, and S. Ludwig, The influence of porosity and the nature of the charge storage capacitance on the impedance behaviour of electropolymerized polyaniline films, Journal of Electroanalytical Chemistry, vol.443, issue.1, pp.49-62, 1998.
DOI : 10.1016/S0022-0728(97)00494-4

M. Salzer, A. Spettl, O. Stenzel, J. Smått, M. Lindén et al., A two-stage approach to the segmentation of FIB-SEM images of highly porous materials, Materials Characterization, vol.69, issue.0, pp.115-126, 2012.
DOI : 10.1016/j.matchar.2012.04.003

E. Sánchez-palencia, Non-homogeneous media and vibration theory Lecture notes in physics Image Analysis and Mathematical Morphology Multivariate stochastic approximation using a simultaneous perturbation gradient approximation, IEEE Transactions on Automatic Control, vol.37, pp.332-341, 1980.

S. Torquato and G. Stell, Bounds on the effective thermal conductivity of a dispersion of fully penetrable spheres, International Journal of Engineering Science, vol.23, issue.3, pp.375-383, 1985.
DOI : 10.1016/0020-7225(85)90057-6

H. Wang and L. Pilon, Physical interpretation of cyclic voltammetry for measuring electric double layer capacitances, Electrochimica Acta, vol.64, pp.130-139, 2012.
DOI : 10.1016/j.electacta.2011.12.118

F. Willot, B. Abdallah, and Y. Pellegrini, Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields, International Journal for Numerical Methods in Engineering, vol.94, issue.6, pp.518-533, 2014.
DOI : 10.1016/j.commatsci.2013.04.046

URL : https://hal.archives-ouvertes.fr/hal-00840986