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Imbibition in disordered media

“…[268,309]). Other NMR studies have been recently performed in situations that are of relevance for construction engineering (water imbibition into cement pastes [50,195]) and the oil industry [2,274,349]. In the latter case, the displacement of oil by water is an important practical question, as is the achieved level of saturation.…”

“…Printing processes Ink penetration in paper [285]; Coating of paper [266,280]; Absorbing materials [301] Food industry Cooking [265]; Wine filtering [333] Biological sciences Fluid transport in plants or imbibition of water into seeds (see Section IV C); Water penetration into soils [33]; Medical applications [204] Surface chemistry Contact angle measurements [58,59,171,215]; Droplets on surfaces [62] Composite materials Invasion of voids by a resin or a metal in filer or metal-metal composites. [8,9,80,92,230,231,232] Textiles Behaviour of garments in the presence of liquids [57,133,134,152,272] Construction Water penetration into concrete or cement pastes [50,195] Although empirical relations for the flow of liquids through a porous medium existed for a long time, an effort, in part inspired by statistical mechanics, to quantitatively understand and predict the flow led to the study of pattern formation or the geometry of the regions occupied by the invading/receding fluids. At this level, the physics is dependent on the combination of viscous and capillary forces at the boundary between invaded and "dry" regions.…”

Dissolution of a surfactant-containing active porous material

“…To establish this law, the porous material is considered as composed of parallel capillaries of average radius R W , which stands to reason as a very crude approximation. Remarkably, however, earlier studies [1,4,5,7,8] showed that this simple equation can provide a sufficient description for the imbibition of a wide variety of materials. However, it comes as no surprise that in certain situations, e.g., when the size distribution of pores is bimodal [6] or the contact angles show some dynamic variations during the imbibition process [26], deviations from this simple law are observed.…”

“…Porous materials are encountered in a wide variety of applications in which they are either plunged into or invaded by a liquid phase, such as during oil extraction [1], imbibition of water in granular materials like sand [2,3] or concrete [4,5], wetting of fabrics [6], and filtration processes [7]. The invasion of the material by the liquid is a capillary problem that can be complicated when the medium simultaneously dissolves into the liquid phase [8].…”

Fractal imbibition in Koch's curve-like capillar tubes

“…Spontaneous capillary imbibition is a transport phenomenon present in a variety of technological applications such as oil recovery, building materials, soil science, textile and hydrology [1]. Due to this diversity of applications, an infinity of theoretical [2][3][4][5][6] and experimental [7][8][9][10][11][12][13][14] studies have been carried out based on the pioneering works of Lucas [15] and Washburn [16] in order to understand the imbibition mechanism and the related phenomena (for review, see [1,17,18], and references therein).…”