RT journal article
T1 Characterization of synthetic porous media images by using fractal and multifractal analysis
A1 Pavón Domínguez, Pablo
A1 Díaz Jiménez, Marina
A2 Ingeniería Informática
A2 Ingeniería Mecánica y Diseño Industrial
K1 Binary Image
K1 Fractal
K1 Lacunarity
K1 Multifractal
K1 Porosity
AB Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been numerous works that have used these analysis techniques for the description of a great variety of real porous media. However, these studies are usually comparative, being difficult to discern the role played by the pore size and pore distribution in the results of fractal and multifractal analysis. This works develops an in-depth study of different synthetic porous media from a fractal and multifractal approach, in which both the pore size and its distribution in the medium are parameterized. Thus, a set of synthetic binary images have been generated obtaining deterministic and random structures with different fixed pore sizes and also with different rates of pore sizes. Lacunarity is also calculated in order to complete the aforementioned analysis. Results evinces that fractal dimension increases with pore size and that it is higher when the pore distribution obeys a random distribution versus a deterministic one. However, when the pore size is very large, fractal dimension is similar regardless of the pore distribution. From a multifractal approach, pore size is negatively correlated with the degree of multifractality. In fact, in images with mixtures of different pore sizes it is also found that the greater the ratio of small pores, the greater degree of multifractality. By contrast, when the ratio of large pores is relevant, the degree of multifractality also increases due to the merging of macro-pores.
PB Springer
SN 1869-2672
YR 2023
FD 2023-09-13
LK http://hdl.handle.net/10498/31378
UL http://hdl.handle.net/10498/31378
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 07-nov-2026