Study of filtration from the fractal structure in porous media

Хасанов, М. К.; Abyzbaev, I.I.

doi:10.1007/bf00872007

Cited by 3 publications

(3 citation statements)

References 2 publications

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“…For example, coral fractal-like structure helps them to catch plankton effectively [42]. Adsorption on fractal collectors might also be applied in environmental protection in designing effective water or air filters [43]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Random sequential adsorption on Euclidean, fractal, and random lattices

et al. 2019

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Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal and random lattices is studied. The adsorption process is modeled by using random sequential adsorption (RSA) algorithm. Objects are adsorbed on one-, two-, and three-dimensional Euclidean lattices, on Sierpinski carpets having dimension d between 1 and 2, and on Erdos-Renyi random graphs. The number of sites is M = L d for Euclidean and fractal lattices, where L is a characteristic length of the system. In the case of random graphs it does not exist such characteristic length, and the substrate can be characterized by a fixed set of M vertices (sites) and an average connectivity (or degree) g. The paper concentrates on measuring (1) the probability W L(M ) (θ) that a lattice composed of L d (M ) elements reaches a coverage θ, and (2) the exponent νj characterizing the so-called "jamming transition". The results obtained for Euclidean, fractal and random lattices indicate that the main quantities derived from the jamming probability W L(M ) (θ) behave asymptotically as M 1/2 . In the case of Euclidean and fractal lattices, where L and d can be defined, the asymptotic behavior can be written as M 1/2 = L d/2 = L 1/ν j , and νj = 2/d. arXiv:1907.02572v2 [cond-mat.stat-mech]

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Section: Introductionmentioning

confidence: 99%

Random sequential adsorption on Euclidean, fractal, and random lattices

et al. 2019

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“…For example, fractal-like structure of corals helps them to catch plankton effectively [18]. Adsorption on fractal collectors might also be applied in environmental protection in designing effective filters [19]. Other studies on fractal collectors investigate diffusion properties [20,21] or adsorption on rough surfaces [22,23].…”

Section: Introductionmentioning

confidence: 99%

Random packing of spheres in Menger sponge

Cieśla

Barbasz

2013

The Journal of Chemical Physics

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Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit. Additionally, scaling properties of density autocorrelations in the obtained packing are analyzed. The RSA kinetics coefficients are also measured. Obtained results allow to test phenomenological relation between random packing saturation density and collector dimension. Additionally, performed simulations together with previously obtained results confirm that, in general, the known dimensional relations are obeyed by systems having non-integer dimension, at least for d < 3.

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“…For example, coral fractal-like structure helps them to catch plankton effectively [4]. Adsorption on fractal collectors might also be applied in environmental protection in designing effective water or air filters [5].…”

Section: Introductionmentioning

confidence: 99%

Random sequential adsorption on fractals

Cieśla

Barbasz

2012

The Journal of Chemical Physics

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Irreversible adsorption of spheres on flat collectors having dimension d < 2 is studied. Molecules are adsorbed on Sierpinski's triangle and carpet-like fractals (1 < d < 2), and on general Cantor set (d < 1). Adsorption process is modeled numerically using random sequential adsorption (RSA) algorithm. The paper concentrates on measurement of fundamental properties of coverages, i.e., maximal random coverage ratio and density autocorrelation function, as well as RSA kinetics. Obtained results allow to improve phenomenological relation between maximal random coverage ratio and collector dimension. Moreover, simulations show that, in general, most of known dimensional properties of adsorbed monolayers are valid for non-integer dimensions.

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Study of filtration from the fractal structure in porous media

Cited by 3 publications

References 2 publications

Random sequential adsorption on Euclidean, fractal, and random lattices

Random sequential adsorption on Euclidean, fractal, and random lattices

Random packing of spheres in Menger sponge

Random sequential adsorption on fractals

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