Abstract
The fractal analysis is described as method of studying images of surface of fossil coal, one of the natural sorbent, with the aim of determining its structural surface heterogeneity. The deformation effect as a reduction in the dimensions of heterogeneity boundaries is considered. It is shown that the theory of nonequilibrium dynamic systems permits to assess a formation level of heterogeneities involved into a sorbent composition by means of the Hurst factor.
Similar content being viewed by others
References
A. B. Mosolov and O. Yu. Dinarev, “Fractals, scales, and geometry of porous materials,” Zh. Tekh. Fiz., 58, No. 2 (1987).
A.F. Bulat and V. I. Dyrda, Fractals in Geomechanics [in Russian], Naukova Dumka, Kiev (2005).
A. P. Rodlinsky, et al., “Application of SAXS and SANS in evaluation of porosity, pore size distribution and surface area of coal,” Int. J. Coal Geology, 59, Nos. 3, 4 (2004).
.A. V. Neimark, “Evaluation of fractal surface dimension from the adsorption test data,” Zh. Fiz. Khim., 64,Issue 10 (1990).
H. Gan, Nandi, and P. L. Walker. “Nature of the porosity in American coal,” Fuel, 51, No. 4 (1972).
O. Zmeškal, M. Veselý, M. Nežádal, and M. Buchníček. “Fractal analysis of image structures, HarFA,” Harmonic and Fractal Image Analysis (2001).
E. Feder, Fractals [in Russian], Mir, Moscow (1991).
A. M. Zeleny and A. V. Milovanov, “Fractal topology and strange kinetics: from percolation theory to challenges of space electrodynamics,” UFN, 174, No. 8 (2004).
A. Yu. Loskutov. “Reproducibility of the structure and properties of parts and their description within the framework of nonlinear dynamics,” Glass and Ceramics, 57, Nos. 7, 8 (2000).
J. Theiler. “Some comments on the correlation dimension of 1/fα noise,” Physics letters A, 155, Nos. 8, 9 (1991).
V. V. Mandelbrot. Fractals: Form, Chance and Dimension, Sun Francisco: Freeman Comp. (1977).
V. M. Kasatochkin and N. K. Larina, Structure and Properties of Natural Coals [in Russian], Nauka, Moscow (1975).
A. Le Mêhutê. Fractal Geometries, Theory and Applications, Boca Ration: CRS Press Comp. (1991).
Ya. E. Belgeizimer, A. V. Zavdoveev, V. N. Varyukhin, and B. M. Efros, “Effect of deformation on fractal dimension of metal structures,” in: Proceedings of the International Conference “Mesascopic Phenomena in Solid Bodies” [in Russian], Donetsk (2007).
V. L. Popov, J. Starcevic, and A. E. Filippov, “Reconstruction of potential from dynamic experiments,” Physical Review, E, 75 (2007).
V. L. Popov and Ya. Starchevich, “Triboscopic studies of steel-steel pair,” Zh. Tekh. Fiz., 31,Issue 7 (2005).
T. A. Vasilenko, P. I. Polyakov, and V. V. Slyusarev, “Investigation into physical-mechanical properties of coals under hydrostatic compression and quasihydrostatic failure,” Fiz. Tekh. Vysok. Davl., 10, No. 3 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 3, pp. 14–24, May–June, 2008.
Rights and permissions
About this article
Cite this article
Alekseev, A.D., Vasilenko, T.A. & Kirillov, A.K. Fractal analysis of the hierarchic structure of fossil coal surface. J Min Sci 44, 235–244 (2008). https://doi.org/10.1007/s10913-008-0013-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10913-008-0013-2