Characterizing microstructures with representative tortuosities | Science and Technology for Energy Transition (STET)

Synthesis and characterisation of porous materials for clean energy applications

Open Access

Table 6

Tortuosity contrast and discriminative power (M-tortuosity). M-tortuosity contrasts as a function of (α₁, α₂), computed on each pair of neighboring models and multiplied by 1000. Models contrasts (2)–(1) and (3)–(2) focus on volume fraction. Models contrasts (4)–(1) and (5)–(4) focus on heterogeneity. Models contrasts (2’)–(1’) and (3’)–(2’), and (1’)–(1), (2’)–(2) and (3’)–(3) focus on anisotropy.

	(α₁, α₂)
Models	(−10, −10)	(0, −10)	(10, −10)	(−10, 0)	(0, 0)	(10, 0)
(2)–(1)	11.6585	12.4112	9.0540	16.8155	11.4334	10.1831
(3)–(2)	67.5180	48.8562	43.4857	60.5600	46.5211	45.0741
(4)–(1)	−1.8375	0.8327	0.8099	0.6516	0.7427	0.6364
(5)–(4)	4.5627	1.4065	0.7480	1.6446	0.9999	0.7313
(2’)–(1’)	21.2390	12.1347	2.9192	25.5741	11.6728	5.6274
(3’)–(2’)	68.8360	53.9952	30.7437	77.2097	51.1185	37.6858
(1’)–(1)	5.9563	0.2122	−1.7625	13.9149	0.7468	−1.6181
(2’)–(2)	15.5383	−0.0644	−7.8974	22.6745	0.9862	−6.1740
(3’)–(3)	16.8621	5.0881	−20.6544	39.3874	5.5946	−13.5743
	(α₁, α₂)
Models	(−10, −10)	(0, −10)	(10, −10)

(2)–(1)	14.5242	11.1650	12.0952
(3)–(2)	62.1177	45.6178	45.1820
(4)–(1)	−0.8518	0.6512	0.6547
(5)–(4)	3.8986	0.9231	0.7583
(2’)–(1’)	29.3014	10.3329	6.4218
(3’)–(2’)	87.8860	47.7690	37.6804
(1’)–(1)	19.6453	0.0638	−2.2011
(2’)–(2)	34.4187	−0.7685	−7.8748
(3’)–(3)	60.2747	1.3874	−15.3884

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