Mechanical-Chemical-Mineralogical Controls on Permeability Evolution of Shale Fractures

Table 5

Predicted Longmaxi shale and Green River shale aperture evolution (pH = 6.0 and 7.0).

Shale	Fluid pH	Confining stress	Fitting equation	Coefficient of determination
Longmaxi	7.0	3.0	= 31.91896 − 0.80179ln() − 0.0003757.7 ×	0.911
	7.0	5.0	= 31.44867 − 1.06542ln() − 0.001165378 ×	0.937
	7.0	10.0	= 22.18106 − 0.72442ln() − 0.002677789 ×	0.956
	6.0	3.0	= 31.54955 − 0.65021ln() + 0.00123713 ×	0.841
	6.0	5.0	= 26.56389 − 0.60462ln() + 0.000415405 ×	0.872
	6.0	10.0	= 21.84205 − 0.13463ln() − 0.001156053 ×	0.929
Green River	7.0	10.0	= 26.86063 − 0.50583ln() − 0.001156053 ×	0.784
	6.0	10.0	= 25.25844 − 0.20519ln() − 0.0017078 ×	0.877