The use of fractal analysis in the textural characterization of coals

Fractal characteristics of shales from a shale gas reservoir in the Sichuan Basin, China

“…Fractal geometries can account for gas adsorption on heterogeneous materials, and are used to describe the porous structure and surface irregularities of a given solid [15][16][17]. Several methods have been proposed to calculate fractal dimension on the basis of gas adsorption isotherms.…”

“…Fractal methods have been widely used in material estimations. The textural properties of coals and activate carbons were investigated from a fractal perspective [15][16][17]. The composition of coals including carbon content, ash content, and coal rank has also been shown to be related to the fractal dimension [16,17].…”

Morphology and Fractal Characterization of Multiscale Pore Structures for Organic-Rich Lacustrine Shale Reservoirs

“…28,[42][43][44] Different methods, such as fractal Langmuir, fractal BET, fractal Frenkel-Halsey-Hill (FHH) and the thermodynamic method, have been proposed to calculate fractal dimension based on gas adsorption isotherm. 28,45,46 Among these, the FHH model has been proved to be an effective and reliable method for several porous materials [47][48][49][50] :…”

Evaluation of the possibilities of applying fractal analysis for the characterization of molecular arrangement of carbon deposits in comparison to conventional instrumental methods

“…It is well known from the literature (Mahamud et al, 2003;Mahamud and Novo, 2008;Marsh, 1989;Patrick et al, 1983;Pis et al, 2002;Pusz and Buszko, 2012;Pusz et al, 2009;Singh et al, 2007) that the reactivity of different carbon materials depends on their degree of structural order. To confirm the validity of this thesis for the studied carbon deposits, all the calculated parameters were compared with the reactivity coefficient, K, determined according to the Genovese standard.…”

“…The most popular fractal dimensions are: (1) fractal dimension measured for a 3-dimensional object that characterizes its structure e.g. pore structure and reaches values between 2 and 3 (Longjum et al, 1997;Mahamud et al, 2003;Mahamud and Novo, 2008;Medek and Weishauptová, 2000;Mianowski and Owczarek, 2000;Yongli et al, 2011) and (2) a fractal dimension measured for a 2-dimensional image that characterizes its texture reaching the values between 1 and 2 (Dannenberg, 2004). In both cases the more self-similar the structure, the higher the fractal dimension is obtained.…”