Engineering Rock Mechanics

(Jacob Rumans) #1
Questions 9.1-9.10: permeability 433

of flow in each fracture segment.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0.00 0.00 0.00 2.10 2.74 5.16 6.61 8.06 5.16 6.13 3.06 5.81 6.61 7.42 8.71 10.00 10.00 10.00
6.94 4.19 1.29 5.16 4.52 2.42 1.13 0.00 5.32 2.58 10.00 6.61 5.65 4.84 3.23 1.45 6.94 5.00

Q9.6 Determine the nodal heads and hence the direction and magnitude
of flow in each rock mass fracture segment for the same case as Q9.5, but
with different fracture apertures, as given in the matrix below.

Note that this matrix is symmetric, and we have suppressed the values
in the lower left of the matrix. The units are millimetres.

49.7 The following rock mass hydraulic conductivity data were obtained
from four sets of tests on fractured rock samples with volumes 1 m3, 5 m3,
10 m3, and 15 m3. In each case it was assumed that the hydraulic conduct-
ivity was a scalar quantity. The data values are in units of 1 x m/s.
As the test volume increased, so did the difficulty and the cost of the tests,
so there are fewer data for the tests at larger volumes.
Data for test size of 1 m3
2.122 1.156 3.696 1.165 1.649 2.886 1.652 2.876 1.197 2.593
2.114 2.771 16.214 2.529 1.700 7.658 10.928 0.627 9.854 0.847
0.670 1.623 2.274 5.163 2.209
Data for test size of 5 m3
1.630 1.981 2.436 3.700 1.215 1.767 0.909 0.450 3.512 1.314
Dafa for test size of 10 m3
1.369 1.188 2.037 1.688
Data for test size of 15 m3
1.487 1.343 1.473 1.738
Using the data above, estimate the REV value for the hydraulic conduct-
ivity of the fractured rock mass tested.

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