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

Table 7

Variations of the diffusion radius and the pumping rate with time in Case 2.

Time; t (s)	Pumping rate q			Diffusion radius r
	Analytical; (mL/s)	Quasi-3D model; (mL/s)	Relative errors; (%)	Analytical; (mL/s)	Quasi-3D model; (mL/s)	Relative errors; (%)
10	1.3761	1.3981	1.60	0.2246	0.2218	1.25
20	1.2747	1.2855	0.85	0.3040	0.3051	0.36
30	1.2216	1.2181	0.29	0.3634	0.3654	0.55
40	1.1864	1.1800	0.54	0.4127	0.4155	0.68
50	1.1604	1.1581	0.20	0.4557	0.4576	0.42
Average relative errors (%)			0.70			0.65