A Review of Gas Flow and Its Mathematical Models in Shale Gas Reservoirs

Table 2

Various apparent permeability models proposed for gas flow in the shale matrix.

No.	Apparent permeability formula	Authors
1		Ertekin et al. [28]
2		Ertekin et al. [28]
3		Ertekin et al. [28]
4		Beskok-Karniadakis [41]
5		Javadpour et al. [29]
6		Wu et al. [42, 43]
7	, ,	Darabi et al. [30]
8	,	Xiong et al. [44]
9		Swami and Settari [45]; Zhao et al. [46]
10	, ,; ,	Li et al. [25]
11		Mi et al. [32]
12		Deng et al. [47]
13		Wang and Marongiu-Porcu [48]
14	,	Wu et al. [26, 42, 43]
15	, , ,	Sheng et al. [33]
16	,	Ye et al. [49]
17		Wang et al. [50]
18		Zhang et al. [35]
19		Song et al. [51]
20		Ren et al. [52]
21		Wang et al. [34]
22	, ,	He et al. [53]
23	,, ,	Li et al. [36]
24		Zhang et al. [54]
25	(for inorganic pores); (for organic pores)	Wang et al. [38]
26	,	Cai et al. [55]
27		Chai et al. [40]
28		Zhang et al. [56]
29		Zhang et al. [57]