Compressibility and Fractal Dimension Analysis in the Bituminous Coal Specimens
International Journal of Oil, Gas and Coal Engineering
Volume 6, Issue 1, January 2018, Pages: 25-39
Received: Mar. 6, 2018; Accepted: Mar. 20, 2018; Published: Apr. 14, 2018
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Bo Zhang, School of Mechanics & Civil Engineering, China University of Mining and Technology (Beijing), Beijing, China
Jie Zhu, School of Mechanics & Civil Engineering, China University of Mining and Technology (Beijing), Beijing, China; State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, China
Fa He, School of Mechanics & Civil Engineering, China University of Mining and Technology (Beijing), Beijing, China
Yaodong Jiang, School of Mechanics & Civil Engineering, China University of Mining and Technology (Beijing), Beijing, China
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The fractal characteristics of pore structures in six coal samples with the same rank were investigated. Insights into the relationship between fractal dimension and pore structure parameter were provided. Compressibility effect on the mercury intrusion porosimetry (MIP) data was evaluated. N2 adsorption (NA) and mercury intrusion porosimetry were applied to analyze the pore structure of coal. The mercury intrusion process was divided into three stages including interpore filling, large intrapore filling and small intrapore filling with compression. Three pore fractal dimensions corresponding to the three stages, D1C, D2C, and D3C were calculated with the Brooks–Corey capillary pressure model. Df calculated with Farin model is used to estimate an overall fractal dimension. The correlation between the pore fractal dimension and the pore size distribution (PSD) characteristics was further discussed.
Pore Size Distribution, Fractal Dimension, Compressibility, Mercury Intrusion Porosimetry (MIP), Nitrogen Adsorption (NA)
To cite this article
Bo Zhang, Jie Zhu, Fa He, Yaodong Jiang, Compressibility and Fractal Dimension Analysis in the Bituminous Coal Specimens, International Journal of Oil, Gas and Coal Engineering. Vol. 6, No. 1, 2018, pp. 25-39. doi: 10.11648/j.ogce.20180601.14
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
W. I. Friesen, and R. J. Mikula, “Fractal dimensions of coal particles,” J Colloid Interface Sci. Vol. 120, 1987, pp. 263–271.
B. Sahouli, S. Blacher, and F. Brouers, “Fractal surface analysis by using nitrogen adsorption data: the case of the capillary condensation regime,” Langmuir. Vol. 12, 1996, pp. 2872–2874.
C. R. Clarkson, N. Solano, R. M. Bustin, A. M. M Bustin, G. R. L. Chalmers, L. He, Y. B. Melnichenko, A. P. Radliński, and T. P. Blach, “Pore structure characterization of North American shale gas reservoirs using USANS/SANS, gas adsorption, and mercury intrusion,” Fuel. Vol.103, 2013, pp. 606−616.
J. N. Pan, K. Wang, Q. L. Hou, Q. H. Niu, H. C. Wang, and Z. M. Ji, “Micro-pores and fractures of coals analysed by field emission scanning electron microscopy and fractal theory,” Fuel. Vol. 164, 2016, 277-285.
J. Lai, and G. W. Wang, “Fractal analysis of tight gas sandstones using high-pressure mercury intrusion techniques,” Journal of Natural Gas Science and Engineering. Vol. 24, 2015, pp. 185-196
P. Pfeifer, and D. Avnir, “Chemistry in noninteger dimensions between two and three. I: Fractal theory of heterogeneous surfaces,” Journal of Chemical Physics. Vol. 79, 1983, pp. 3558-3565.
M. Zhang, and H. Li, “Pore structure and chloride permeability of concrete containing nano-particles for pavement,” Construction and Building Materials, Vol. 25, 2011, pp. 608-616.
C. Laxminarayana, and P. J. Crosdale, “Role of coal type and rank on methane sorption characteristics of Bowen Basin, Australia coals,” Int J Coal Geol. Vol. 40, 1999, pp. 309–325.
J. Pan, Q. H. Niu, K. Wang, X. H. Shi, and L. Meng, “The closed pores of tectonically deformed coal studied by small-angle X-ray scattering and liquid nitrogen adsorption,” Microporous and Mesoporous Materials. Vol. 224, 2016, pp. 245-252.
Y. H. Li,G. Q. Lu,V. Rudolph, “Compressibility and fractal dimension of fine coal particles in relation to pore structure characterisation using mercury porosimetry,” Particle & Particle Systems Characterization. Vol. 16, 1999, pp. 25-31.
G. N. Okolo, R. C. Everson,H. W. J. P. Neomagus,M. J. Roberts,and R. Sakurovs, “Comparing the porosity and surface areas of coal as measured by gas adsorption, mercury intrusion and SAXS techniques,” Fuel. Vol. 141, 2015, pp. 293-304.
Q, Zeng,K. Li,T, Fen-Chong,and P. Dangla, “Surface fractal analysis of pore structure of high-volume fly-ash cement pastes,” Applied Surface Science. Vol. 257, 2010, pp. 762-768.
J. X. Liu, X. M. Jiang, X. Y. Huang, and S. H. Wu, “Morphological characterization of super fine pulverized coal particle. Part 4. Nitrogen adsorption and small angle x-ray scattering study,” Energy and Fuels. Vol. 24, 2010, pp. 3072-3085.
A. Y. Fadeev, O. R. Borisova, and G. V. Lisichkin, “Fractality of porous silicas: a comparison of adsorption and porosimetry data,” J Colloid Interf Sci. Vol. 183, 1996, pp. 1–5.
K. Li, “Analytical derivation of BrookseCorey type capillary pressure models using fractal geometry and evaluation of rock heterogeneity,” J. Pet. Sci. Eng. Vol. 73, 2010, pp. 20–26.
X. Q. Guo, Y. B. Yao, and D. M. Liu, “Characteristics of coal matrix compressibility: an investigation by mercury intrusion porosimetry,” Energy Fuel. Vol. 28, 2014, pp. 3673–3678.
E. W. Washburn, “The dynamics of capillary flow,” Phys Rev. Vol. 3, 1921, pp. 273–283.
E. D. Pittman, “Relationship of porosity and permeability to various parameters derived from mercury injection capillary pressure curves for sandstones,” AAPG Bull. Vol. 76, 1992, pp. 191–198.
J. Zhou, G. Ye, and V. B. Klaas, “Characterization of pore structure in cement-based materials using pressurization–depressurization cycling mercury intrusion porosimetry (PDC-MIP),” Cement and Concrete Research. Vol. 40, 2010, pp.1120–1128.
F. Yang, Z. Ning, and H. Liu, “Fractal characteristics of shales from a shale gas reservoir in the Sichuan Basin, China,” Fuel. Vol. 115, 2014. pp. 378-384.
C. J. Liu, G. X. Wang, S. X. Sang, W. Gilani, and V. Rudolph, “Fractal analysis in pore structure of coal under condition of CO2 sequestration process,” Fuel. Vol. 139, 2014, pp. 125-132.
X. D. Chen, J. K. Zhou, and N. Ding, “Fractal Characterization of Pore System Evolution in Cementitious Materials,” Journal of Civil Engineering. Vol. 19, 2015, pp. 719-724.
M. Mahamud, Óscar López, J. J. Pis, and J. A. Pajares, “Textural characterization of coals using fractal analysis,” Fuel Processing Technology. Vol. 81, 2003, pp. 127–142.
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