270 10 Water inrush and mining above confined aquifers
the mining area, and may cause a disastrous consequence.
10.2.3 Theoretical and numerical analyses of strata failure and
hydraulic conductivity change around a mining panel
Many efforts have been made to predict the mining-induced failure area.
These include theoretical analysis as well as numerical simulation. Accord-
ing to the plastic sliding theory, Zhang and Liu (1990) proposed the fol-
lowing equation to calculate the maximum depth of failure zone induced
by mining in the seam floor:
]tan)
24
exp[(
)
24
cos(2
cos
0
0
0
0
1
M
M
S
M
S
M
a
x
h
(10.2)
where x
a
is the length of failure zone of the coal seam around the mining
face, which can be calculated from Zhang et al. (1997);
M
0
is the angle of
the internal friction of the strata. Using the above equation combined with
empirical formula in Eq. 10.1, some good results have been achieved for
predicting the water-conducting failure zone (Zhang et al. 1997).
For mining near aquifers, the finite element method (FEM) can ana-
lyze not only the strata failure, but also hydraulic conductivity changes as-
sociated with mining. The latter is more important for predicting water in-
flow into the mining panel. For this purpose, the stress-dependent
hydraulic conductivity was incorporated into the FEM model (refer to Sect.
9.3.3 of Chap. 9). Therefore, hydraulic conductivity variations and strata
failures resulting from seam extraction can be calculated from the pro-
posed FEM. In the following finite element analysis, a typical mining
panel is selected from Yanzhou Coal Mines, Shandong Province (see Sec.
8.5 for this case study).
Figure 10.10 displays the vertical hydraulic conductivity contour
around the mining panel for a mining width of 100 m. In the figure, the
contours of the ratios of post- to pre-mining hydraulic conductivities are
plotted for a half of the panel, which is geometrically symmetric. The area
having the ratio of hydraulic conductivity greater than 1 is defined as the
enhancement of hydraulic conductivity; while the area with hydraulic con-
ductivity ratio less than 1 is called the decrease of conductivity. Figure
10.10 shows that the enhancement of conductivity concentrates mainly on
the mined area both in the roof and floor. Compared to the pre-mining state,
hydraulic conductivity of the floor strata increases in the mined area and
decreases in the abutment area (Fig. 10.10). These results are coincident