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

Table 9

Distribution of the pressure and average flow velocity over the radius at t = 50 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	97.9463	99.3736	1.46	3.6935	3.769	2.04
0.10	67.2244	67.8087	0.87	1.8468	1.8865	2.15
0.15	49.2533	49.5546	0.61	1.2312	1.2504	1.56
0.20	36.5025	36.6361	0.37	0.9234	0.9355	1.31
0.25	26.6123	26.6317	0.07	0.7387	0.747	1.12
0.30	18.5314	18.4711	0.33	0.6156	0.6213	0.93
0.35	11.699	11.5866	0.96	0.5276	0.531	0.64
0.40	5.7806	5.6527	2.21	0.4617	0.4596	0.45
0.45	0.5602	0.5306	5.28	0.4104	0.4202	2.39
Average relative errors (%)			1.35			1.40