Research Article
Experimental Study on Seepage Anisotropy of a Hexagonal Columnar Jointed Rock Mass
Table 1
The fitting results of the nonlinear Forchheimer equation and the calculated values of k and β
| | Sample number | Maximum principal stress σ1 (MPa) | Fitting coefficient a (Pa·s·m−4 × 1014) | Fitting coefficient b (Pa·s2·m−7 × 1022) | Coefficient of determination R2 | Intrinsic permeability k (m2) | Nonlinear coefficient β (m−1) |
| | SS0° | 1 | 8.078 E − 01 | −1.361 E − 02 | 0.9993 | 1.579 E − 15 | −6.765 E + 12 | | 2 | 8.821 E − 01 | −1.270 E − 02 | 0.9985 | 1.446 E − 15 | −6.312 E + 12 | | 3 | 9.157 E − 01 | −1.049 E − 02 | 0.9991 | 1.393 E − 15 | −5.214 E + 12 | | 4 | 9.852 E − 01 | −1.543 E − 02 | 0.9991 | 1.294 E − 15 | −7.669 E + 12 | | 5 | 9.792 E − 01 | −2.216 E − 02 | 0.9989 | 1.302 E − 15 | −1.101 E + 13 | | 6 | 8.043 E − 01 | −1.372 E − 02 | 0.9976 | 1.585 E − 15 | −6.819 E + 12 |
| | SS15° | 1 | 7.929 E − 01 | −1.533 E − 02 | 0.9883 | 1.608 E − 15 | −7.619 E + 12 | | 2 | 9.268 E − 01 | −2.202 E − 02 | 0.9877 | 1.376 E − 15 | −1.094 E + 13 | | 3 | 8.912 E − 01 | −2.152 E − 02 | 0.9933 | 1.431 E − 15 | −1.070 E + 13 | | 4 | 8.455 E − 01 | −1.856 E − 02 | 0.9940 | 1.508 E − 15 | −9.225 E + 12 | | 5 | 7.246 E − 01 | −1.476 E − 02 | 0.9946 | 1.760 E − 15 | −7.336 E + 12 | | 6 | 4.928 E − 01 | −6.380 E − 03 | 0.9935 | 2.588 E − 15 | −3.171 E + 12 |
| | SS30° | 1 | 8.718 E − 01 | −1.875 E − 02 | 0.9982 | 1.463 E − 15 | −9.319 E + 12 | | 2 | 1.024 E + 00 | −2.772 E − 02 | 0.9990 | 1.246 E − 15 | −1.378 E + 13 | | 3 | 1.113 E + 00 | −3.456 E − 02 | 0.9960 | 1.146 E − 15 | −1.718 E + 13 | | 4 | 1.027 E + 00 | −3.233 E − 02 | 0.9963 | 1.242 E − 15 | −1.607 E + 13 | | 5 | 8.599 E − 01 | −2.280 E − 02 | 0.9984 | 1.483 E − 15 | −1.133 E + 13 | | 6 | 6.127 E − 01 | −1.117 E − 02 | 0.9987 | 2.081 E − 15 | −5.552 E + 12 |
| | SS45° | 1 | 9.247 E − 01 | −2.320 E − 02 | 0.9933 | 1.379 E − 15 | −1.153 E + 13 | | 2 | 9.551 E − 01 | −2.243 E − 02 | 0.9952 | 1.335 E − 15 | −1.115 E + 13 | | 3 | 8.284 E − 01 | −1.956 E − 02 | 0.9973 | 1.539 E − 15 | −9.722 E + 12 | | 4 | 5.011 E − 01 | −5.140 E − 03 | 0.9990 | 2.545 E − 15 | −2.555 E + 12 | | 5 | 4.406 E − 01 | −3.710 E − 03 | 0.9996 | 2.894 E − 15 | −1.844 E + 12 | | 6 | 3.786 E − 01 | −2.860 E − 03 | 0.9983 | 3.368 E − 15 | −1.421 E + 12 |
| | SS60° | 1 | 8.4222 E − 01 | −1.8600 E − 02 | 0.9965 | 1.514 E − 15 | −9.245 E + 12 | | 2 | 1.0840 E + 00 | −2.3160 E − 02 | 0.9979 | 1.176 E − 15 | −1.151 E + 13 | | 3 | 1.1346 E + 00 | −1.9720 E − 02 | 0.9961 | 1.124 E − 15 | −9.801 E + 12 | | 4 | 1.0895 E + 00 | −2.1190 E − 02 | 0.9963 | 1.170 E − 15 | −1.053 E + 13 | | 5 | 9.9456 E − 01 | −2.4650 E − 02 | 0.9991 | 1.282 E − 15 | −1.225 E + 13 | | 6 | 7.7904 E − 01 | −1.3570 E − 02 | 0.9992 | 1.637 E − 15 | −6.745 E + 12 |
| | SS75° | 1 | 5.3832 E − 01 | 1.9100 E − 03 | 0.9867 | 2.369 E − 15 | 9.493 E + 11 | | 2 | 6.5698 E − 01 | 2.1100 E − 03 | 0.9946 | 1.941 E − 15 | 1.049 E + 12 | | 3 | 7.7073 E − 01 | −1.0400 E − 03 | 0.9950 | 1.655 E − 15 | −5.169 E + 11 | | 4 | 8.9612 E − 01 | −6.2300 E − 03 | 0.9916 | 1.423 E − 15 | −3.096 E + 12 | | 5 | 1.0872 E + 00 | −9.0500 E − 03 | 0.9963 | 1.173 E − 15 | −4.498 E + 12 | | 6 | 1.4753 E + 00 | −2.6690 E − 02 | 0.9935 | 8.643 E − 16 | −1.327 E + 13 |
| | SS90° | 1 | 5.4456 E − 01 | 1.6000 E − 03 | 0.9907 | 2.342 E − 15 | 7.952 E + 11 | | 2 | 7.4407 E − 01 | −6.7000 E − 03 | 0.9962 | 1.714 E − 15 | −3.330 E + 12 | | 3 | 8.9512 E − 01 | −8.2300 E − 03 | 0.9975 | 1.425 E − 15 | −4.091 E + 12 | | 4 | 9.2963 E − 01 | −1.6400 E − 03 | 0.9975 | 1.372 E − 15 | −8.151 E + 11 | | 5 | 1.1876 E + 00 | −2.8810 E − 02 | 0.9779 | 1.074 E − 15 | −1.432 E + 13 | | 6 | 1.3268 E + 00 | −3.7120 E − 02 | 0.9802 | 9.611 E − 16 | −1.845 E + 13 |
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