Comprehensive Fractal Description of Porosity of Coal of Different Ranks

Table 6

Calculation results of fractal dimension of coal sample pore distribution obtained using mercury intrusion method.

Sample number	Aperture range (nm)	Linear fitting equations of different aperture segments	𝑅^2	𝐾	𝐷1
Number 1	1000<𝑟≦357057.1	𝑦1=−1.1308𝑥−0.0460	0.9696	−1.1308	2.8692
	100≦𝑟≦1000	𝑦2=−0.6854𝑥+0.3292	0.8441	−0.6854	3.3146
	10≦𝑟≦100	𝑦3=−0.4755𝑥−0.1078	0.9305	−0.4755	3.5245
	𝑟<10	𝑦4=−0.0798𝑥−0.9137	0.0688	/	/
Number 2	1000<𝑟≦357057.1	𝑦1=−1.0775𝑥+0.3388	0.9593	−1.0775	2.9225
	100≦𝑟≦1000	𝑦2=−1.4912𝑥+0.8244	0.9601	−1.4912	2.5088
	10≦𝑟≦100	𝑦3=−0.3893𝑥−0.3467	0.8342	−0.3893	3.6107
	𝑟<10	𝑦4=−0.1885𝑥−0.6979	0.1136	/	/
Number 3	1000<𝑟≦357057.1	𝑦1=−1.2252𝑥−0.0450	0.9694	−1.2252	2.7748
	100≦𝑟≦1000	𝑦2=−0.7697𝑥−0.0060	0.8903	−0.7697	3.2303
	10≦𝑟≦100	𝑦3=−0.2416𝑥−0.5272	0.8091	−0.2416	3.7584
	𝑟<10	𝑦4=−0.2049𝑥−0.6250	0.2344	/	/
Number 4	1000<𝑟≦357057.1	𝑦1=−1.6239𝑥−0.5805	0.9676	−1.6239	2.3761
	100≦𝑟≦1000	𝑦2=−0.6457𝑥−0.4407	0.7416	3.3543	3.3543
	10≦𝑟≦100	𝑦3=−0.0373𝑥−1.0238	0.0863	/	/
	𝑟<10	𝑦4=−0.1569𝑥−0.7716	0.3716	/	/

Note: the “𝑅²” is coefficient of correlation, the “𝐾” is slope, and the “𝐷₁” is fractal dimension of pore volume (mercury intrusion method).