Analysis of actual excavation situation
The rationality of the model parameters is checked through comparing simulation results and actual slope form, so as to correctly predict and evaluate the deformation phenomenon and regulations later.
(1) Stage 0. Original state of slope.
According to the analysis, the slope is in equilibrium in its original state. In the original state, the stress field of the slope is evenly distributed, which accords with that the stress field changing with depth. The stress gradually increases from the slope surface to the deep part, and the maximum compressive stress value is 11.8 MPa, which accords with that the stress is mainly caused by the self-weight stress of the rock masses in the original state, and the tensile stress appears at the terrain with abrupt change, the maximum value is about 0.27MPa, as shown in Fig.7. Therefore, in the original state, the slope is in equilibrium and there is no abnormal response, the following analysis can be carried out.
- Maximum principal stress nephogram
- Minimum principal stress nephogram
Fig.7 Stress nephogram of the slope under the original condition
(2) Stage 1. The slope is mined from the elevation of 2226m to 2035m.
From the beginning of production to 2007, the Jianshan phosphate rock slope was excavated from the top to an elevation of 2035m, which resulted in the development of a crack along the strike and floor heave at the toe of the slope.
It can be seen from Fig.8 (a) that after the excavation, the stress field of the original rock is redistributed. The rock masses in most areas are under compression, and the maximum compressive stress is 14MPa. Tensile stress concentration zones appear on the top of slope, and the maximum tensile stress is 0.35MPa. The direction of both the maximum principal stress (compressive stress) and the minimum principal stress (tensile stress) extends along the surface to the toe of the slope, and the tensile stress concentration zones appear at the toe of the slope. At the same time, the minimum principal stress nephogram also shows that after excavating, a large range of tensile stress zones appear on the top of the slope, and the rock masses are in tension, which causes it to undergo tensile failure to form tensile cracks. Under the effect of self-weight stress, the rock masses within a certain range of the free face have a tendency to slide along the rock layer, causing the lower unexposed rock to be bent and sheared by the upper rock. The analysis above explains the development of cracks on the top of the slope and floor heave at the toe of the slope under the action of actual excavation.
Fig.8 (b) reflects the change in slope displacement caused by the excavation at this stage: the rock masses in the X (strike) and Z (height) directions move significantly towards the excavation face. At the top of the slope, the displacement in the X and Z directions will cause the rock masses in the upper part of the slope to sink, and it is easy to form cracks along the strike. The maximum displacement in the X direction is 2.5cm, and the direction is backward the excavation face; the maximum displacement in the Z direction is 1.03cm, and the direction is vertically downward. On the slope surface, the displacement caused by excavation is relatively large, 0-7.1cm in X direction and 3-14.3cm in Z direction. It is mainly due to the rebound deformation towards the excavation face. But in the local area, the displacement direction is backward the excavation face, which is about 0-3cm. Analysis of the rock displacement changes in the X and Z directions caused by excavation at this step reveals that cracks due to tension and uneven subsidence will appear at the top of the slope, the whole slope is in the process of compressive yielding, and due to the impact of intense excavation and unloading, the middle and lower rock masses will undergo lateral deformation, and the slope will show a failure characteristic of "slip-bend-shear".
Fig.8 (c) is the nephogram of the slope plastic area caused by the excavation at this stage. The results show that there are obvious plastic failure zones in the western area of the slope, which especially concentrated in the area near the excavation face, and the plastic zones on slope top and slope toe are connected, but the eastern area only has scattered plastic zones on the excavation face. This is mainly because the actual excavation has a relatively small impact on the disturbance of the slope, which is consistent with the actual excavation.
- Minimum principal stress nephogram
- Maximum principal stress nephogram
(a) Stress nephogram
- Displacement nephogram in X (strike) direction
- Displacement nephogram in Z (height) direction
(b) Displacement nephogram
(c) Nephogram of the slope plastic area
Fig.8 Simulated results of stage 1
(3) Stage 2. Firstly, the benches at the elevation of 2190, 2160, 2130, 2100 and 2070m shall be unloaded by steps. Then, the slope shall be excavated to the elevation of 1935m.
Comparing Fig.9 (a) with Fig.8 (a), it can be seen that the excavation at this stage significantly reduces the tensile stress zones at the top of the slope to 0.22 MPa. In the excavation area, the maximum principal stress is compressive stress, and the stress in deep rock masses does not change much. Tensile stress concentrated zones appear at the toe of slope, benches and shoulder of slope. Although part of the tensile stress is unloaded in this stage, the slope continued to extend downward for 100 meters. Therefore, the rock masses are still under tension, and tensile cracks are easily formed on the surface、toe of slope and benches, which is consistent with the actual excavation.
Fig.9 (b) shows that after excavating by steps, the overall displacement of the slope increases greatly. X-direction displacement in the top and the east of the slope is into the slope, and the variation range is 0-37.1cm. X-direction displacement in the east of the slope is toward the excavation face, and the variation range in the upper part is 20-80cm, in the lower part is 100-120cm. Z-direction displacement in the east of the slope is due to the rebound deformation towards the excavation face, and the variation range is 0-12.3cm. Z-direction displacement in the west of the slope is vertically downward, and the variation range is 20-107cm.
Compared with Fig.8 (b), although the overall displacement of the slope has increased, the trend of the deformation and failure induced by the stage 1 is effectively suppressed, so that the mine can be safely excavated to the elevation of 1935m.
Fig.9 (c) is the nephogram of the plastic zones caused by the excavation at this stage. It shows that: the plastic zones at the pit bottom of the eastern area of the slope is concentrated, but there is no large range of plastic zones on slope surface, it only scattered on individual benches. However, the slope of the western part has a large range of plastic zones, which extend from the top to the toe of the slope. The rock masses became in plastic state, which is more likely to undergo failure. In other words, the cracks, landslides and collapse are easy to generate in local areas, which is consistent with the actual situation.
- Minimum principal stress nephogram
- Maximum principal stress nephogram
(a) Stress nephogram
- Displacement nephogram in X (strike) direction
(2) Displacement nephogram in Z (height) direction
(b) Displacement nephogram
(c) Nephogram of the slope plastic area
Fig.9 Simulated results of stage 2
Analysis of planned excavation
(1) Stage 3. The slope is mined from the elevation of 1935m to 1910m.
Fig.10 (a) shows that during this stage, the maximum principal stress of the slope is significantly smaller than the current slope, and its value ranges from 0 to 2MPa, which still appears as compressive stress. But the maximum principal stress on the top of slope is tensile stress of which variation range is 0-0.98MPa, and there is a clear tensile stress concentration zone. The minimum principal stress of the excavation face is significantly larger than the current slope, and the maximum value increases from 0.22(in stage 2) to 0.36 MPa and appears as tensile stress. In the eastern part of the slope, the tensile stress concentration zones appear. In the western part, the tensile stress concentration zones are further expanded on the basis of stage 2. Therefore, the large-scale tensile stress concentration zones on the excavation face makes the rock masses in tension state. At the same time, because the tensile strength of the rock masses is far less than the compressive strength, the rock masses of the slope will undergo "slip-pull" failure. When the slide surfaces are connected in the internal part of the slope, the whole slope will be in a state of instability.
Fig.10 (b) reflects the variation of slope displacement in this stage. As the excavation continues downward, the displacements in the X direction and the Z direction increase sharply. Compared with the current slope displacement nephogram Fig.9 (b), the maximum horizontal displacement increases from 126cm to 200cm, and the displacement direction near the excavation face is towards the free face. The displacements in the Z direction of the excavation area are all vertically downward. The maximum displacement of the slope top varies in the range of 140-182cm, and the overall slope subsidence is obvious.
- Minimum principal stress nephogram
- Maximum principal stress nephogram
(a) Stress nephogram
- Displacement nephogram in X (strike) direction
(2) Displacement nephogram in Z (height) direction
(b) Displacement nephogram
Fig.10 Simulated results of stage 3
(2) Stage 4, The slope is mined from the elevation of 1910m to 1840m.
Fig.11 (a) is the maximum principal stress and minimum principal stress nephogram when excavating to the elevation of 1840m. It shows that as the slope continues to be excavated downward, a tensile stress zone appears at the top of the slope, and the tensile stress ranges from 0 to 0.98 MPa. The maximum principal stress in the excavation face is still compressive stress, and its value ranges from 0 to 2 MPa. The minimum principal stress of the excavation face in this stage is larger than when mining to the elevation of 1910m (stage 3; Fig.10 (a)), and it increases from 0.36MPa to 0.41MPa, which appears as tensile stress, and the tensile stress concentration zones remained on the benches of the eastern slope and the shoulders of the western slope. This indicates that the rock masses of the slope have been under tension during this stage, which causes the tensile failure to be more intense. Therefore, the overall stability of the slope is even worse.
Fig.11 (b) shows that the displacements in the X direction and the Z direction caused by the excavation at this stage are significantly larger than the last. Compared with Fig.10 (b), the displacement of the rock masses in the X direction of local area in eastern slope at the elevation of 1940-1950m increase significantly, and the maximum value is sharply increased from 200cm in stage 3 to 700cm. In other words, the deformation of the eastern slope area at this stage are intensified, but the overall displacement and deformation of the western slope area increased relatively slow. The displacement in Z direction of the excavation face is still vertically downward, which is also significantly larger than the last stage, and the maximum displacement increment is 717cm. Therefore, it can be seen that the displacement of X and Z direction in this stage increased significantly, which causes much intenser deformation of the whole slope.
- Minimum principal stress nephogram
- Maximum principal stress nephogram
- Stress nephogram
- Displacement nephogram in X (strike) direction
(2) Displacement nephogram in Z (height) direction
(b) Displacement nephogram
Fig.11 Simulated results of stage 4
Table 1 Physical and mechanical parameters of rock mass for Jianshan phosphorite mine
Lithology
|
Unit weight / (g/cm3)
|
Tensile strength /MPa
|
Deformation modulus /GPa
|
Cohesion /MPa
|
Friction angle /°
|
Poisson ratio
|
Black shale
|
2.60
|
0.09656
|
2.6269
|
0.1019
|
33.8
|
0.27
|
Ore body
|
2.72
|
0.06389
|
2.7646
|
0.0610
|
27.8
|
0.23
|
Sandy dolomite
|
2.76
|
0.1307
|
3.5947
|
0.1191
|
29.9
|
0.23
|
Fine-grained dolomite
|
2.81
|
0.2589
|
4.8193
|
0.3186
|
43.4
|
0.22
|