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

Table 1

Variations of the diffusion radius with time calculated by three models in Case 1.

Time; t (s)	Diffusion radius r
	Analytical; (m)	Quasi-3D model; (m)	Fluent_21; (m)	Fluent_6l; (m)	Relative errors (%)
					Quasi-3D model	Fluent_2l	Fluent_6l
5	0.1732	0.1718	0.1760	0.1740	0.81	1.62	0.46
10	0.2449	0.2431	0.2450	0.2460	0.73	0.04	0.45
15	0.3000	0.2981	0.3010	0.3020	0.63	0.33	0.67
20	0.3464	0.3444	0.3460	0.3480	0.58	0.12	0.46
25	0.3873	0.3862	0.3880	0.3890	0.28	0.18	0.44
30	0.4242	0.4236	0.4260	0.4250	0.16	0.40	0.16
35	0.4582	0.4579	0.4580	0.4590	0.09	0.07	0.15
40	0.4899	0.4899	0.4910	0.4910	0.00	0.22	0.22
Average relative errors (%)					0.41	0.37	0.38