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

Table 2

Calculation results of four models for slurry flow distance under different conditions.

Aperture, (mm)	Pressure, (MPa)	Time, (s)	Diffusion distance, (m)
			Model 1	Model 2	Model 3	Model 4
0.1	0.1	0.01	0.0094	0.0093	0.0093	0.0093
0.1	0.1	1	0.0937	0.0937	0.0908	0.0908
0.1	0.1	100	0.9366	0.9366	0.6990	0.6990
0.1	1	0.01	0.0296	0.0295	0.0296	0.0295
0.1	1	1	0.2962	0.2962	0.2933	0.2933
0.1	1	100	2.9617	2.9617	2.6899	2.6899
0.1	10	0.01	0.0937	0.0933	0.0936	0.0932
0.1	10	1	0.9366	0.9365	0.9337	0.9337
0.1	10	100	9.3659	9.3658	9.0836	9.0835
1	0.1	0.01	0.0937	0.0606	0.0934	0.0605
1	0.1	1	0.9366	0.9326	0.9084	0.9046
1	0.1	100	9.3659	9.3655	6.990	6.9898
1	1	0.01	0.2962	0.1916	0.2959	0.1914
1	1	1	2.9617	2.9492	2.9332	2.9209
1	1	100	29.6174	29.6162	26.8995	26.8984
1	10	0.01	0.9366	0.6058	0.9363	0.6057
1	10	1	9.3659	9.3263	9.3372	9.2979
1	10	100	93.6586	93.6546	90.8355	90.8318
10	0.1	0.01	0.9366	0.0774	0.9337	0.0774
10	0.1	1	9.3659	6.0578	9.0836	5.9391
10	0.1	100	93.6586	93.2633	69.9001	69.6849
10	1	0.01	2.9617	0.2447	2.9589	0.2447
10	1	1	29.6174	19.1566	29.3320	19.0370
10	1	100	296.1744	294.9246	268.9949	267.9673
10	10	0.01	9.3659	0.7739	9.3630	0.7739
10	10	1	93.6586	60.5785	93.3722	60.4586
10	10	100	936.5858	932.6333	908.3553	904.6386