F. A. Dullien, Porous Media: Fluid Transport and Pore Structure, 1991.

M. Sahimi, Flow and Transport in Porous Media and Fractured Rock: From Classical Methods to Modern Approaches, 2011.

W. Anderson, Wettability literature survey part 4: Effects of wettability on capillary pressure, J. Pet. Technol, vol.39, p.1283, 1987.

A. J. Kota, G. Kwon, W. Choi, J. M. Mabry, and A. Tueja, Hygro-respondive membranes for efficient oil-water separation, Nat. Commun, vol.3, p.1025, 2012.

M. A. Shannon, P. W. Bohn, M. Elimelech, J. G. Georgiadis, and B. J. Marinas, Science and technology for water purification in the coming decades, Nature, vol.452, p.301, 2008.

W. He, J. Yi, and T. Van-nguyen, Two-phase flow model of the cathode of PEM fuel cells using interdigitated flow fields, vol.46, p.2053, 2000.

P. K. Sinha, P. P. Mukherjee, and C. Wang, Impact of GDL structure and wettability on water management in polymer electrolyte fuel cells, J. Mater. Chem, vol.17, p.3089, 2007.

T. M. Squires and S. R. Quake, Microfluidics: Fluid physics at the nanoliter scale, vol.77, p.977, 2005.

N. Champagne, R. Vasseur, A. Montourcy, and D. Bartolo, Traffic jams and intermittent flows in microfluidic networks, Phys. Rev. Lett, vol.105, p.44502, 2010.

C. Cottin, H. Bodiguel, and A. Colin, Influence of wetting conditions on drainage in porous media: A microfluidic study, Phys. Rev. E, vol.84, p.26311, 2011.

B. Kozlov, M. H. Schneider, B. Montaron, M. Lagues, and P. Tabeling, Archie's law in microsystems, Transp. Porous Media, vol.95, p.1, 2012.
DOI : 10.1007/s11242-012-0029-6

E. Nordgard, G. Sorland, and J. Sjoblom, Behavior of asphaltene model compounds at W/O interfaces, Langmuir, vol.26, p.2352, 2010.

T. Hassenkam, L. L. Skovbjerg, and S. L. Stipp, Probing the intrinsically oil-wet surfaces of pores in North Sea chalk at subpore resolution, Proc. Natl. Acad. Sci. U.S.A, vol.106, p.6071, 2009.

M. J. Bickle, Geolomedia carbon storage, Nat. Geosci, vol.2, p.815, 2009.

M. T. Balhoff, S. G. Thomas, and M. F. Wheeler, Mortar coupling and upscaling of pore-scale models, Comput. Geosci, vol.12, p.15, 2008.
DOI : 10.1007/s10596-007-9058-6

I. Battiato, D. M. Tartakovsky, A. M. Tartakovsky, and T. Scheibe, Hybrid models of reactive transport in porous and fractured media, Adv. Water Resour, vol.34, p.1140, 2011.

M. Kumar, A. Fogden, T. Senden, and M. Knackstedt, Investigation of pore-scale mixed wettability, SPE J, vol.17, p.20, 2012.
DOI : 10.2118/129974-pa

P. Ustohal, F. Stauffer, and T. Dracos, Measurement and modeling of hydraulic characteristics of unsaturated porous media with mixed wettability, J. Contam. Hydrol, vol.33, p.5, 1998.

D. M. O'carroll, L. M. Abriola, C. A. Polityka, S. A. Bradford, and A. H. Demond, Prediction of two-phase capillary pressure-saturation relationships in fractional wettability systems, J. Contam. Hydrol, vol.77, p.247, 2005.

A. Dixit, J. S. Buckley, S. Mcdougall, and K. Sorbie, Empirical measures of wettability in porous media and the relationship between them derived from pore-scale modelling, Transp. Porous Media, vol.40, p.27, 2000.

I. Fatt and W. Klikoff, Effect of fractional wettability on multiphase flow through porous media, Trans. Am. Inst. Min., Metall. Pet. Eng, vol.216, p.426, 1959.

R. D. Hazlett, S. Chen, and W. Soll, Wettability and rate effects on immiscible displacement: Lattice Boltzmann simulation in microtomographic images of reservoir rocks, J. Pet. Sci. Eng, vol.20, p.167, 1998.

C. Miller, G. Christakos, P. Imhoff, J. Mcbride, and J. Pedit, Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches, Adv. Water Resour, vol.21, p.77, 1998.

S. Berg, H. Ott, S. A. Klapp, A. Schwing, R. Neiteler et al., Real-time 3D imaging of Haines jumps in porous media flow, Proc. Natl. Acad. Sci. U.S.A, vol.110, p.3755, 2013.

A. Georgiadis, S. Berg, A. Makurat, G. Maitland, and H. Ott, Pore-scale micro-computer-tomography imaging: Nonwetting-phase cluster-size distribution during drainage and imbibition, Phys. Rev. E, vol.88, p.33002, 2013.
DOI : 10.1103/physreve.88.033002
URL : http://link.aps.org/pdf/10.1103/PhysRevE.88.033002

S. S. Datta, H. Chiang, T. S. Ramakrishnan, and D. A. Weitz, Spatial fluctuations of fluid velocities in flow through a three-dimensional porous medium, Phys. Rev. Lett, vol.111, p.64501, 2013.

S. Iglauer, S. Favretto, G. Spinelli, G. Schena, and M. J. Blunt, X-ray tomography measurements of power-law cluster size distributions for the nonwetting phase in sandstones, Phys. Rev. E, vol.82, p.56315, 2010.

S. Iglauer, M. Ferno, P. Shearing, and M. Blunt, Comparison of residual oil cluster size distribution, morphology and saturation in oil-wet and water-wet sandstone, J. Colloid Interface Sci, vol.375, p.187, 2012.

M. E. Ahmed and P. J. Van-geel, Potential concerns related to using octadecyltrichlorosilane (OTS) in rendering soils and porous ceramics hydrophobic, J. Contam. Hydrol, vol.110, p.22, 2009.

M. Scheel, , 2009.

M. Prodanovic, W. Lindquist, and R. Seright, Porous structure and fluid partitioning in polyethylene cores from 3D x-ray microtomographic imaging, J. Colloid Interface Sci, vol.298, p.282, 2006.

M. Prodanovic, W. Lindquist, and R. Seright, 3D imagebased characterization of fluid displacement in a Berea core, Adv. Water Resour, vol.30, p.214, 2007.

S. S. Datta, T. Ramakrishnan, and D. A. Weitz, Mobilization of a trapped non-wetting fluid from a threedimensional porous medium, Phys. Fluids, vol.26, p.22002, 2014.

C. Priest, R. Sedev, and J. Ralston, Asymmetric wetting hysteresis on chemical defects, Phys. Rev. Lett, vol.99, p.26103, 2007.

K. A. Culligan, D. Wildenschilde, B. S. Christensen, W. G. Gray, M. L. Rivers et al., Interfacial area measurement for unsaturation flow through a porous medium, Water Resour. Res, vol.40, p.12413, 2004.

D. Legland, K. Kieu, and M. Devaux, Computation of Minkowski measures on 2D and 3D binary images, Image Anal. Stereol, vol.26, p.83, 2007.

K. Huang, M. Brinkmann, and S. Herminghaus, Wet granular rafts: Aggregation in two dimensions under shear flow, Soft Matter, vol.8, p.11939, 2012.

M. Newman, Power laws, Pareto distribution and Zipf's law, Contemp. Phys, vol.46, p.323, 2005.