Impact of spatially correlated pore‐scale heterogeneity on drying porous media

Borgman, Oshri; Fantinel, Paolo; Lühder, Wieland; Goehring, Lucas; Holtzman, Ran

doi:10.1002/2016wr020260

Cited by 30 publications

(37 citation statements)

References 39 publications

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“…These events being sequential and stochastic at the lattice scale and driven by iterative rules at the pore scale, we rationalize our results with a cellular automaton generating mazes. This model, which accounts for pore-scale heterogeneities of wettability known to impact drying in porous media [14,15], well describes the structure and formation dynamics of the observed mazes. For fixed wetting conditions, we show that the structural order of a maze is governed by only two geometric dimensionless quantities built with four key geometric parameters, the post radius, the lattice height and inter-post spacings.…”

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confidence: 89%

Order-Disorder Structural Transitions in Mazes Built by Evaporating Drops

et al. 2018

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We show that the evaporation of surfactant solutions confined in quasi-two-dimensional porous media creates micron-sized labyrinthine patterns composing the walls of a centimeter-sized maze. These walls are made of solid deposits formed during drying via a sequence of individual Haines jumps occurring at the pore scale. We rationalize this process driven by simple iterative rules with a cellular automaton that acts as a maze generator. This model well describes the formation dynamics and final structure of an experimental maze as functions of the wettability heterogeneities of a porous medium and its geometry. Also, our findings unveil the crucial role of two geometric dimensionless quantities that control the structural order of a maze.

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confidence: 89%

Order-Disorder Structural Transitions in Mazes Built by Evaporating Drops

et al. 2018

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“…Generally, with increasing I v , the medium becomes more disordered and the variations in throat sizes becomes larger. It is necessary to elaborate on reasons to introduce I v instead of directly using λ as the disorder parameter [10,23,25,47]. First, although a monotonic relation has been observed between λ and I v , from the definitions, λ is a parameter for generating the geometry controlling the minimum distance between obstacles, while I v is the parameter for geometry characterization.…”

Section: A Media Generation and Characterizationmentioning

confidence: 99%

Disorder characterization of porous media and its effect on fluid displacement

et al. 2019

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We investigate the effects of topological disorder and wettability on fluid displacement in porous media. A modified disorder index I v is proposed to characterize the disorder of porous media. By changing I v , different displacement patterns (stable displacement and fingering) under the same flow condition and fluid property are obtained. We analytically demonstrate how increase in disorder promotes fingering due to uneven distribution of local capillary pressure. It is shown that the displacement efficiency for different wettability conditions and disorder well correlates with the distribution of local capillary pressure. A power-law relation between fluid-fluid interfacial length and saturation of invading fluid is proposed by taking geometry into account, where the parameters in power-law relation can be predicted by the capillary index, I c , unifying the effects of topological disorder and wettability.

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“…Experiments were conducted in micro-fluidic chips containing a mechanical micro-model of a porous medium; detailed methods of their design and fabrication are given in Refs. [22,21]. Briefly, we used soft lithography techniques to create a pattern of 100 × 100 solid pillars on a regular grid, of spacing 130 µm, defining a pore space between them.…”

Section: Microfluidic Experimentsmentioning

confidence: 99%

Drying and percolation in correlated porous media

et al. 2018

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We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in micro-fluidic micro-models of porous media. Here, the fluid pressures develop more intermittent dynamics as local correlations are added to the structure of the pore spaces. We also consider this problem numerically, using a model of invasion percolation with trapping, and find that there is a crossover in invasion behaviour associated with the length-scale of the disorder in the system. The critical exponents associated with large enough events are similar to the classic invasion percolation problem, whereas the addition of a finite correlation length significantly affects the exponent values of avalanches and bursts, up to some characteristic size. This implies that the even a weak local structure can interfere with the universality of invasion percolation phenomena. arXiv:1809.03564v1 [cond-mat.soft]

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Impact of spatially correlated pore‐scale heterogeneity on drying porous media

Cited by 30 publications

References 39 publications

Order-Disorder Structural Transitions in Mazes Built by Evaporating Drops

Order-Disorder Structural Transitions in Mazes Built by Evaporating Drops

Disorder characterization of porous media and its effect on fluid displacement

Drying and percolation in correlated porous media

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