Unsteady Approximate Model of Grouting in Fractured Channels Based on Bingham Fluid

Table 3

Applicability of the first three models.

Aperture, (mm)	Pressure, (MPa)	Time, (s)	Relative error
			Model 1	Model 2	Model 3
0.1	0.1	0.01	√	√	√
0.1	0.1	1	√	√	√
0.1	0.1	100	×	×	√
0.1	1	0.01	√	√	√
0.1	1	1	√	√	√
0.1	1	100	×	×	√
0.1	10	0.01	√	√	√
0.1	10	1	√	√	√
0.1	10	100	√	√	√
1	0.1	0.01	×	√	×
1	0.1	1	√	√	√
1	0.1	100	×	×	√
1	1	0.01	×	√	×
1	1	1	√	√	√
1	1	100	×	×	√
1	10	0.01	×	√	×
1	10	1	√	√	√
1	10	100	√	√	√
10	0.1	0.01	×	√	×
10	0.1	1	×	√	×
10	0.1	100	×	×	√
10	1	0.01	×	√	×
10	1	1	×	√	×
10	1	100	×	×	√
10	10	0.01	×	√	×
10	10	1	×	√	×
10	10	100	√	√	√

Note: if the relative error is less than 5%, it is √, otherwise it is .