A Quasi-3D Numerical Model for Grout Injection in a Parallel Fracture Based on Finite Volume Method

Table 8

Distribution of the pressure and average flow velocity over the radius at t = 20 s in Case 2.

Radius; r (m)	Pressure (p-p0)			Average flow velocity u
	Analytical; (kPa)	Quasi-3D model; (kPa)	Relative errors; (%)	Analytical; (cm/s)	Quasi-3D model; (cm/s)	Relative errors; (%)
0.05	87.8813	89.1206	1.41	4.0575	4.1630	2.60
0.10	54.1318	54.3447	0.39	2.0288	2.0781	2.43
0.15	34.3895	34.2431	0.43	1.3525	1.3763	1.76
0.20	20.3822	20.0348	1.70	1.0144	1.0277	1.31
0.25	9.5172	9.2332	2.98	0.8115	0.8184	0.85
0.30	0.6399	0.6108	4.55	0.6763	0.6950	2.77
Average relative errors (%)			1.91			1.95