V. Lobaskin, B. Dunweg, M. Medebach, T. Palberg, and C. Holm, Electrophoresis of Colloidal Dispersions in the Low-Salt Regime, Physical Review Letters, vol.98, issue.17, p.176105, 2007.
DOI : 10.1103/PhysRevLett.98.176105

D. J. Harrison, K. Fluri, K. Seiler, Z. Fan, C. S. Effenhauser et al., Micromachining a Miniaturized Capillary Electrophoresis-Based Chemical Analysis System on a Chip, Science, vol.261, issue.5123, p.895, 1993.
DOI : 10.1126/science.261.5123.895

S. Van-dorp, U. F. Keyser, N. H. Dekker, C. Dekker, and S. G. Lemay, Origin of the electrophoretic force on DNA in solid-state nanopores, Nature Physics, vol.5, issue.5, p.347, 2009.
DOI : 10.1038/nphys1230

R. Dimova, K. A. Riske, S. Aranda, N. Bezlyepkina, R. L. Knorr et al., Giant vesicles in electric fields, Soft Matter, vol.278, issue.7, p.817, 2007.
DOI : 10.1039/b703580b

D. Lacoste, G. Menon, M. Z. Bazant, and J. F. Joanny, Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane, The European Physical Journal E, vol.28, issue.3, p.243, 2009.
DOI : 10.1140/epje/i2008-10433-1

H. Mizutani, T. Ishido, T. Yokokura, and S. Ohnishi, Electrokinetic phenomena associated with earthquakes, Geophysical Research Letters, vol.13, issue.7, p.365, 1976.
DOI : 10.1029/GL003i007p00365

S. Pride, Governing equations for the coupled electromagnetics and acoustics of porous media, Physical Review B, vol.50, issue.21, p.15678, 1994.
DOI : 10.1103/PhysRevB.50.15678

A. Revil and P. Leroy, Constitutive equations for ionic transport in porous shales, Journal of Geophysical Research, vol.5, issue.2, p.3208, 2004.
DOI : 10.1029/2003JB002755

J. R. Looker and S. L. Carnie, Homogenization of the Ionic Transport Equations in Periodic Porous Media, Transport in Porous Media, vol.76, issue.11, p.107, 2006.
DOI : 10.1007/s11242-005-6080-9

C. Moyne, M. A. Murad, and T. , A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager???s Reciprocity Relations in Expansive Clays: I Homogenization Analysis, Transport in Porous Media, vol.43, issue.1, p.333, 2006.
DOI : 10.1007/s11242-005-1290-8

C. Moyne, M. A. Murad, and T. , A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager???s Reciprocity Relations in Expansive Clays: II Computational Validation, Transport in Porous Media, vol.43, issue.1, p.13, 2006.
DOI : 10.1007/s11242-005-1291-7

G. Allaire, A. Mikelic, and A. Piatnitski, Homogenization of the linearized ionic transport equations in rigid periodic porous media, Journal of Mathematical Physics, vol.51, issue.12, p.123103, 2010.
DOI : 10.1063/1.3521555

URL : https://hal.archives-ouvertes.fr/hal-00784050

P. Mazur and J. T. Overbeek, On electro-osmosis and streaming-potentials in diaphragms: II. General quantitative relationship between electro-kinetic effects, Recueil des Travaux Chimiques des Pays-Bas, vol.17, issue.1, p.83, 1951.
DOI : 10.1002/recl.19510700114

E. Brunet and A. Ajdari, Generalized Onsager relations for electrokinetic effects in anisotropic and heterogeneous geometries, Physical Review E, vol.69, issue.1, p.16306, 2004.
DOI : 10.1103/PhysRevE.69.016306

D. Coelho, M. Shapiro, J. F. Thovert, and P. M. Adler, Electroosmotic Phenomena in Porous Media, Journal of Colloid and Interface Science, vol.181, issue.1, p.169, 1996.
DOI : 10.1006/jcis.1996.0369

S. Marino, M. Shapiro, and P. Adler, Coupled Transports in Heterogeneous Media, Journal of Colloid and Interface Science, vol.243, issue.2, p.391, 2001.
DOI : 10.1006/jcis.2001.7826

A. K. Gupta, D. Coelho, and P. M. Adler, Electroosmosis in porous solids for high zeta potentials, Journal of Colloid and Interface Science, vol.303, issue.2, p.593, 2006.
DOI : 10.1016/j.jcis.2006.07.080

A. Gupta, D. Coelho, and P. Adler, Universal electro-osmosis formulae for porous media, Journal of Colloid and Interface Science, vol.319, issue.2, p.549, 2008.
DOI : 10.1016/j.jcis.2007.12.001

I. Pagonabarraga, B. Rotenberg, and D. Frenkel, Recent advances in the modelling and simulation of electrokinetic effects: bridging the gap between atomistic and macroscopic descriptions, Physical Chemistry Chemical Physics, vol.9, issue.33, p.9566, 2010.
DOI : 10.1039/c004012f

URL : https://hal.archives-ouvertes.fr/hal-00531720

J. F. Dufrêche, V. Marry, N. Malikova, and P. Turq, Molecular hydrodynamics for electro-osmosis in clays: from Kubo to Smoluchowski, Journal of Molecular Liquids, vol.118, issue.1-3, p.145, 2005.
DOI : 10.1016/j.molliq.2004.07.076

L. Joly, C. Ybert, E. Trizac, and L. Bocquet, Liquid friction on charged surfaces: From hydrodynamic slippage to electrokinetics, The Journal of Chemical Physics, vol.125, issue.20, p.204716, 2006.
DOI : 10.1063/1.2397677

URL : https://hal.archives-ouvertes.fr/hal-00118872

D. M. Huang, C. Cottin-bizonne, C. Ybert, and L. Bocquet, Ion-Specific Anomalous Electrokinetic Effects in Hydrophobic Nanochannels, Physical Review Letters, vol.98, issue.17, p.177801, 2007.
DOI : 10.1103/PhysRevLett.98.177801

URL : https://digital.library.adelaide.edu.au/dspace/bitstream/2440/64703/1/hdl_64703.pdf

L. Bocquet and E. Charlaix, Nanofluidics, from bulk to interfaces, Chem. Soc. Rev., vol.318, issue.3, p.1073, 2010.
DOI : 10.1039/B909366B

URL : http://arxiv.org/abs/0909.0628

A. Botan, B. Rotenberg, V. Marry, P. Turq, and B. Noetinger, Hydrodynamics in Clay Nanopores, The Journal of Physical Chemistry C, vol.115, issue.32, p.16109, 2011.
DOI : 10.1021/jp204772c

A. Botan, V. Marry, B. Rotenberg, P. Turq, and B. Noetinger, How Electrostatics Influences Hydrodynamic Boundary Conditions: Poiseuille and Electro-osmostic Flows in Clay Nanopores., The Journal of Physical Chemistry C, vol.117, issue.2, p.978, 2013.
DOI : 10.1021/jp3092336

URL : https://hal.archives-ouvertes.fr/hal-01484359

S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, 2001.

S. Chen and G. D. Doolen, LATTICE BOLTZMANN METHOD FOR FLUID FLOWS, Annual Review of Fluid Mechanics, vol.30, issue.1, p.329, 1998.
DOI : 10.1146/annurev.fluid.30.1.329

H. Chen, S. Kandasamy, S. Orszag, R. Shock, S. Succi et al., Extended Boltzmann Kinetic Equation for Turbulent Flows, Science, vol.301, issue.5633, p.633, 2003.
DOI : 10.1126/science.1085048

E. S. Boek and M. Venturoli, Lattice-Boltzmann studies of fluid flow in porous media with realistic rock geometries, Computers & Mathematics with Applications, vol.59, issue.7, p.2305, 2010.
DOI : 10.1016/j.camwa.2009.08.063

R. Ledesma-aguilar, R. Nistal, A. Hernandez-machado, and I. Pagonabarraga, Controlled drop emission by wetting properties in driven liquid filaments, Nature Materials, vol.42, issue.5, p.367, 2011.
DOI : 10.1063/1.3200935

F. Capuani, I. Pagonabarraga, and D. Frenkel, Discrete solution of the electrokinetic equations, The Journal of Chemical Physics, vol.121, issue.2, p.973, 2004.
DOI : 10.1063/1.1760739

I. Pagonabarraga, F. Capuani, and D. Frenkel, Mesoscopic lattice modeling of electrokinetic phenomena, Computer Physics Communications, vol.169, issue.1-3, p.192, 2005.
DOI : 10.1016/j.cpc.2005.03.043

B. Rotenberg, I. Pagonabarraga, and D. Frenkel, Dispersion of charged tracers in charged porous media, EPL (Europhysics Letters), vol.83, issue.3, p.34004, 2008.
DOI : 10.1209/0295-5075/83/34004

URL : https://hal.archives-ouvertes.fr/hal-00369645

B. Rotenberg, I. Pagonabarraga, and D. Frenkel, Coarse-grained simulations of charge, current and flow in heterogeneous media, Faraday Discuss., vol.76, p.223, 2009.
DOI : 10.1039/B901553A

URL : https://hal.archives-ouvertes.fr/hal-00531704

G. Giupponi and I. Pagonabarraga, Colloid Electrophoresis for Strong and Weak Ion Diffusivity, Physical Review Letters, vol.106, issue.24, p.248304, 2011.
DOI : 10.1103/PhysRevLett.106.248304

D. Bauer, S. Youssef, M. Han, S. Bekri, E. Rosenberg et al., From computed microtomography images to resistivity index calculations of heterogeneous carbonates using a dual-porosity pore-network approach: Influence of percolation on the electrical transport properties, Physical Review E, vol.84, issue.1, p.11133, 2011.
DOI : 10.1103/PhysRevE.84.011133

D. Bauer, S. Youssef, M. Fleury, S. Bekri, E. Rosenberg et al., Improving the Estimations of Petrophysical Transport Behavior of Carbonate Rocks Using a Dual Pore Network Approach Combined with Computed Microtomography, Transport in Porous Media, vol.32, issue.2, p.505, 2012.
DOI : 10.1007/s11242-012-9941-z

C. Varloteaux, M. T. Vu, S. Békri, and P. M. Adler, Reactive transport in porous media: Pore-network model approach compared to pore-scale model, Physical Review E, vol.87, issue.2, p.23010, 2013.
DOI : 10.1103/PhysRevE.87.023010

URL : https://hal.archives-ouvertes.fr/hal-01196671

C. L. Rice and R. Whitehead, Electrokinetic Flow in a Narrow Cylindrical Capillary, The Journal of Physical Chemistry, vol.69, issue.11, p.4017, 1965.
DOI : 10.1021/j100895a062

S. Levine, J. Marriott, G. Neale, and N. Epstein, Theory of electrokinetic flow in fine cylindrical capillaries at high zeta-potentials, Journal of Colloid and Interface Science, vol.52, issue.1, p.136, 1975.
DOI : 10.1016/0021-9797(75)90310-0

W. Olivares, T. L. Croxton, and D. A. Mcquarrie, Electrokinetic flow in a narrow cylindrical capillary, The Journal of Physical Chemistry, vol.84, issue.8, p.867, 1980.
DOI : 10.1021/j100445a015

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 1993.

J. Dufrêche, O. Bernard, S. Durand-vidal, and P. Turq, Analytical Theories of Transport in Concentrated Electrolyte Solutions from the MSA, The Journal of Physical Chemistry B, vol.109, issue.20, p.9873, 2005.
DOI : 10.1021/jp050387y

M. Jardat, J. Dufrêche, V. Marry, B. Rotenberg, and P. Turq, Salt exclusion in charged porous media: a coarse-graining strategy in the case of montmorillonite clays, Physical Chemistry Chemical Physics, vol.7, issue.12, p.2023, 2009.
DOI : 10.1039/b818055e

URL : https://hal.archives-ouvertes.fr/hal-00369647

D. Gillespie, W. Nonner, and R. S. Eisenberg, Coupling Poisson??Nernst??Planck and density functional theory to calculate ion flux, Journal of Physics: Condensed Matter, vol.14, issue.46, p.12129, 2002.
DOI : 10.1088/0953-8984/14/46/317

S. Melchionna, U. Marini-bettolo, and . Marconi, Electro-osmotic flows under nanoconfinement: A self-consistent approach, EPL (Europhysics Letters), vol.95, issue.4, p.44002, 2011.
DOI : 10.1209/0295-5075/95/44002

U. Marini-bettolo, S. Marconi, and . Melchionna, Charge Transport in Nanochannels: A Molecular Theory, Langmuir, vol.28, issue.38, p.13727, 2012.
DOI : 10.1021/la302815z