ESTIMATION OF THE FRACTAL DIMENSION OF A POROUS STRUCTURE DURING THE PERCOLATION OF A LAYER OF FINITE THICKNESS
Abstract
Permeability is an important property of porous materials. In some ways of creating porous materials, this property is controlled by the choice of a pore former whose properties and concentration determine the permeability and morphology of the porous structure. An approach based on the estimation of the fractal dimension of the porous structure, in which the percolation of the finite material layer occurs, is described. The percolation condition is considered to be the equality of the cluster diameter to the layer thickness. On its basis, equations were obtained that relate the fractal dimension to the layer thickness, the sizes of percolation clusters, and the fraction of closed pores. According to the above estimates, the fractal dimension decreases, and the morphology of the porous structure becomes more complicated, with a decrease in the layer thickness, a decrease in the size of percolation clusters, and with an increase in the proportion of closed pores.
About the Author
Victor Borisovich Fedoseev
G.A. Razuvaev Institute of Organometallic Chemistry, Russian Academy of Sciences
Russian Federation
Russian Federation
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Review
For citations:
Fedoseev V.B. ESTIMATION OF THE FRACTAL DIMENSION OF A POROUS STRUCTURE DURING THE PERCOLATION OF A LAYER OF FINITE THICKNESS. Proceedings of the Kabardino-Balkarian State University. 2022;12(5):79-83. (In Russ.)
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