# Field Study on the Law of Surface Subsidence in the High-Intensity Fully Mechanized Caving Mining Working Face with Shallow Thick Bedrock and Thin Epipedon in Hilly Areas

Authors: Yi Tan; Hao Cheng; Shuang Gong; Erhu Bai; Minchao Shao; Bingyuan Hao; Xiaoshuang Li; Han Xu
Journal: Advances in Materials Science and Engineering
 (2021)

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## Abstract

Shallow and thick coal seams occur extensively in hilly areas in Shanxi Province and Shaanxi Province, China. The surface damage and landslides caused by shallow fully mechanized caving mining have a very serious impact on the environment. To provide a theoretical and reference foundation for mine environmental protection in hilly settings, a research on surface movement of the high-intensity fully mechanized caving mining working face with shallow thick bedrock and thin epipedon (HIFMCMWFSTBTE) is urgently needed. In this study, using the P2 working face of a mine as the research object, three surface subsidence observation lines were arranged in this working face to analyze the dynamic change characteristics of surface subsidence. Besides, the law of surface movement, mining sufficiency, fracture development and distribution characteristics, subsidence speed, and surface movement duration of HIFMCMWFSTBTE in hilly areas were comparatively studied. The research results reveal that the upper part of the slope slides towards the downhill direction under the action of tensile stress or push stress. As a result, the range of the horizontal movement towards the downhill direction of the slope and the range of surface movement both increase, and the movement angle and boundary angle both decrease compared with the plain. HIFMCMWFSTBTE is prone to serious sudden discontinuous damage. Fractures on the gully region surface develop along the contour, forming a crisscross fracture network, and the fractures are not easy to close after being generated. HIFMCMWFSTBTE in hilly areas can achieve full mining more easily than those of other geological conditions. According to the field measurement, critical full mining can be achieved in P2 working face when the ratio of mining width to mining depth is 1.07. The surface movement duration of HIFMCMWFSTBTE in hilly areas is relatively short. Considerable subsidence will occur in the active stage, and the surface subsidence is sudden and violent. The measured surface stabilization time of the P2 working face is only 20% of the calculated value in the Specification for Coal Pillar Reservation and Coal Mining under Buildings, Water Bodies, Railways, and Main Shafts (hereinafter referred to as theSpecification), indicating that the specification's empirical formula is inapplicable to the calculation of surface stabilization time of the P2 working face.


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## Body

## 1. Introduction

Before an underground coal seam is mined, the rock remains in a relatively balanced state under the action of in situ stress field. When the coal seam is partially mined, a gob area is formed inside the rock, and the stress equilibrium state of the surrounding rock gets destroyed, causing stress redistribution [1–3]. Thereafter, the rock undergoes movement, deformation and failure until a new balance is reached. Finally, surface subsidence occurs, which causes damage to surface buildings and structures [4, 5]. Many researchers have carried out a large number of laboratory experiments on the mechanical properties and deformation characteristics of coal and rock. For example, Song et al. [6, 7] investigate the evolution of deformation and damage related parameters as well as the hysteresis behavior on Tibet marble. The test results show that an increase of FT cycles and fatigue load level both accelerate the damage rate of marble. Based on two different cyclic loading strategies, it is concluded that the maximum load level has a more pronounced effect on energy dissipation than the minimum load level [8]. Scholars [9–14] found that the laws of surface subsidence caused by different mining geological conditions differ significantly. Useful conclusions were drawn through a series of studies on the mining-induced surface subsidence from the aspects of bedrock thickness, buried depth, mining sufficiency, and so on. Meanwhile, it is also found in relevant researches [15–17] that due to the influence of surface topography, the surface topography damage, subsidence law, and construction protection of hilly areas are quite different from those of plain areas. Gao [18] studied the surface subsidence law under conditions of thick bedrock and large mining depth and found that the boundary angle value is small and the surface subsidence influence range is large due to the influence of multiple groups of thick and hard sandstone layers. Peng and Song et al. [19, 20] analyzed and summarized the surface movement and deformation characteristics of loess gully landform and the key technologies of ecological restoration. Therefore, the study on the law of surface subsidence in HIFMCMWFSTBTE in hilly areas is of great significance for improving the basic theory of mining subsidence and guiding on-site production [21–27].Shallow and thick coal seams occur extensively in hilly areas in Shanxi Province and Shaanxi Province, China. In view of this fact, with the fully mechanized caving mining P2 working face with shallow thick bedrock and thin epipedon in a mine taken as the engineering research object, the temporal and spatial evolution laws of surface movement in HIFMCMWFSTBTE in hilly areas under the same mining and geological conditions were summarized by combining the methods of field measurement and theoretical analysis. Important research results were obtained.


## 2. Geological Mining Conditions and Layout of Observation Station

### 2.1. Geological Mining Conditions

The designed production capacity of the mine is 4.0 Mt/a, and its terrain is mainly low mountains and hills, of which the surface topography of P2 working face belongs to low mountains. The working face is covered by thin epipedon and partially exposed bedrock (Figure1). In P2 working face, no. 3 coal seam, whose average thickness, dip angle, and buried depth are 4.8 m, 5.0°, and about 200 m, respectively, is mined. The working face is 220 m wide, has a mining length of 1138 m, and advances at the speed of 4 m/d. The method of fully mechanized caving towards long wall on strike is adopted for coal mining, and the method of total caving is used for roof management.Figure 1
Surface conditions of P2 working face. (a) Loess-covering surface; (b) bedrock-covering surface.
(a)(b)


### 2.2. Layout of Observation Stations

Considering the distribution of thin epipedon and bedrock-exposing surface in P2 working face, one observation line on strike (line A) and two observation lines on inclination (lines B and C) are arranged in P2 working face for obtaining the law of surface movement of HIFMCMWFSTBTE in hilly areas. Since the arrangement of observation stations and the first observation, a total of 12 observations have been conducted within about 16 months.Observation Line A on Strike. With an epipedon thickness of 8 m, Line A is 208 m in average buried depth and 830 m long. There are 37 observation points, among which points A1–A6, A17–A19, and A28–A32 are in the vicinity of bedrock-exposing surface, while the rest of the points are near loess-covering surface.Observation Line B on Inclination. Line B is set 940 m away from the open-off cut and arranged along no. 2 gully. With an epipedon thickness of 0 m, line B is 200 m in average buried depth and 660 m long. There are 30 measuring points, all of which belong to bedrock-exposing surface measuring points. Line B is entirely located in a basin.Observation Line C on Inclination. Line C is laid 530 m away from the open-off cut. With an epipedon thickness of 6 m, line C is 206 m in average buried depth and 680 m long. There are 36 measuring points, among which points C7–C17 are near bedrock-exposing , while the rest of the points are near loess-covering surface. Line C is entirely located in a basin. The layout of observation points in P2 working face is exhibited in Figure 2.Figure 2
Layout of measuring points and comparison between the time of mining subsidence observation and the mining progress.


## 2.1. Geological Mining Conditions

The designed production capacity of the mine is 4.0 Mt/a, and its terrain is mainly low mountains and hills, of which the surface topography of P2 working face belongs to low mountains. The working face is covered by thin epipedon and partially exposed bedrock (Figure1). In P2 working face, no. 3 coal seam, whose average thickness, dip angle, and buried depth are 4.8 m, 5.0°, and about 200 m, respectively, is mined. The working face is 220 m wide, has a mining length of 1138 m, and advances at the speed of 4 m/d. The method of fully mechanized caving towards long wall on strike is adopted for coal mining, and the method of total caving is used for roof management.Figure 1
Surface conditions of P2 working face. (a) Loess-covering surface; (b) bedrock-covering surface.
(a)(b)


## 2.2. Layout of Observation Stations

Considering the distribution of thin epipedon and bedrock-exposing surface in P2 working face, one observation line on strike (line A) and two observation lines on inclination (lines B and C) are arranged in P2 working face for obtaining the law of surface movement of HIFMCMWFSTBTE in hilly areas. Since the arrangement of observation stations and the first observation, a total of 12 observations have been conducted within about 16 months.Observation Line A on Strike. With an epipedon thickness of 8 m, Line A is 208 m in average buried depth and 830 m long. There are 37 observation points, among which points A1–A6, A17–A19, and A28–A32 are in the vicinity of bedrock-exposing surface, while the rest of the points are near loess-covering surface.Observation Line B on Inclination. Line B is set 940 m away from the open-off cut and arranged along no. 2 gully. With an epipedon thickness of 0 m, line B is 200 m in average buried depth and 660 m long. There are 30 measuring points, all of which belong to bedrock-exposing surface measuring points. Line B is entirely located in a basin.Observation Line C on Inclination. Line C is laid 530 m away from the open-off cut. With an epipedon thickness of 6 m, line C is 206 m in average buried depth and 680 m long. There are 36 measuring points, among which points C7–C17 are near bedrock-exposing , while the rest of the points are near loess-covering surface. Line C is entirely located in a basin. The layout of observation points in P2 working face is exhibited in Figure 2.Figure 2
Layout of measuring points and comparison between the time of mining subsidence observation and the mining progress.


## 3. Surface Subsidence Observation and Data Analysis

### 3.1. Dynamic Distribution Characteristics of Subsidence Curve of Line A on Strike (Loess-Covering Surface)

The observation line A on strike is arranged on the side of the stopping line of the working face. The analysis of the strike dynamic subsidence curve in Figure3 demonstrates that, first, the ground observation starts from A1 towards A41 gradually (in Figure 3, the horizontal axis distance is the distance from each observation point to point A41) and ends after 8–13 observations are completed. After subsidence starts at each monitoring point on line A, the subsidence value gradually increases with the advancement of the working face. Afterwards, as the working face moves away from each point, the subsidence value gradually reaches the maximum under the geological mining conditions. Then, this value no longer grows. The point that reaches the maximum subsidence value moves forward from A1 to A41 with the advancement of the working face. According to the results of the last four observations, the minimum and maximum subsidence values of points A18–A21 are 3335 mm and 3362 mm, respectively. Besides, the subsidence value is 27 mm within six months. The results indicate that the surface subsidence tends to stabilize, and the flat bottom of the moving basin appears from A1 to A21. As the working face advances, the flat bottom of the moving basin stretches forward, and the subsidence value no longer rises. Point A32 is located in the ravine whose surface is uplifted.Figure 3
Dynamic change curve of subsidence of line A on strike.


### 3.2. Dynamic Distribution Characteristics of Subsidence Curve of Line B on Inclination (Bedrock-Exposing Surface)

Line B, a curved observation line, is arranged along the ravine (Figure4). Point B17 is the first to be affected by mining and to experience surface subsidence (during the 7th observation) because it is the closest to the open-off cut. The maximum subsidence (the maximum subsidence value 2115 mm and the average subsidence speed 45 mm/d) is observed at point B15 on line B during the 8th and 9th observations, which last 47 d. The results of the last four observations which last 153 d suggest that the maximum subsidence difference is 12 mm, and the surface subsidence basically tends to stabilize, with the final maximum subsidence value being 3167 mm.Figure 4
Dynamic change curve of subsidence of line B on inclination.


### 3.3. Dynamic Distribution Characteristics of Subsidence Curve of Line C on Inclination

The maximum subsidence (the maximum subsidence value 2363 mm and the average subsidence speed 118.2 mm/d) is observed at point C16 on line C during the fifth and sixth observations, which last 20 d (Figure5). During the eighth and ninth observations which last 47 d, the maximum subsidence value is consistent, and the surface subsidence basically tends to stabilize, with the final maximum subsidence value being 3419 mm.Figure 5
Dynamic change curve of subsidence of line C on inclination.The dynamic distribution characteristics of tilt curve are shown in Figures6–8. It can be seen from the curve that the surface inclination value changes from small to large with the advancement of the working face. During the 21st observation, the maximum value of inclination is −41.7 mm/m (point A29). From the 19th observation to the 21st observation, it can be seen that the moving deformation curve shows the antisymmetric characteristics of the inclined curve from the overall trend. The final distribution is different from that of flat land, which is mainly related to topographic factors. The maximum dynamic tilt deformation value in the strike direction is −41.7 mm/m.Figure 6
Inclined dynamic deformation curve of strike observation.Figure 7
Dynamic deformation curve of inclination observation line B.Figure 8
Dynamic deformation curve of inclination observation line C.From the 13th observation to the 19th observation, the inclination change of inclination B observation line was small, and the regularity of observation results was not strong. Several observations after the 21st observation showed that the inclination reached the maximum value, and the maximum dynamic inclination deformation value of inclination direction was 55.6 mm/m obtained from the 17th observation.The tilt of observation line C changed little from the 13th observation to the 17th observation, and the regularity of observation results was not strong. Several observation results after the 21st observation showed that the surface movement deformation tended to be stable and reached the maximum tilt value. The maximum dynamic tilt deformation value in the trend direction was 48.6 mm/m obtained from the 25th observation.The dynamic distribution characteristics of curvature curve are shown in Figure9. With the advancement of the working face, the surface curvature value gradually increases, and the negative curvature has double peak and multipeak phenomena. The distribution law of each observation is basically the same and only increases in value, but the positive and negative changes of the curvature value in the center of the basin have a large jump. It can be seen from the later observation curves that the curve shape is consistent and the value is basically stable. The maximum dynamic positive curvature deformation value in the strike direction is +1.23 mm/m2 and the maximum dynamic negative curvature deformation is −2.70 mm/m2.Figure 9
Curvature dynamic deformation curve of strike observation line A.Figures10 and 11 show two trends of observation line curvature curves, B and C. The graphic depicts the change rule of different times. The maximum value and scope of the surface curvature steadily grow as the working face advances. The greatest curvature point remains almost constant. The prior observation curve's regularity is weak. The last few observations show obvious regularity, and the curve conforms to the general distribution law of curvature on flat land.Figure 10
Dynamic deformation curve of B-line curvature of tendency observation.Figure 11
Dynamic deformation curve of c-line curvature in tendency observation.The maximum dynamic positive curvature deformation value of inclination B observation line is +1.34 mm/m2, and the maximum dynamic negative curvature deformation value is −1.13 mm/m2.The maximum dynamic positive curvature deformation value of inclination C observation line is +1.15 mm/m2, and the maximum dynamic negative curvature deformation value is −1.30 mm/m2.


## 3.1. Dynamic Distribution Characteristics of Subsidence Curve of Line A on Strike (Loess-Covering Surface)

The observation line A on strike is arranged on the side of the stopping line of the working face. The analysis of the strike dynamic subsidence curve in Figure3 demonstrates that, first, the ground observation starts from A1 towards A41 gradually (in Figure 3, the horizontal axis distance is the distance from each observation point to point A41) and ends after 8–13 observations are completed. After subsidence starts at each monitoring point on line A, the subsidence value gradually increases with the advancement of the working face. Afterwards, as the working face moves away from each point, the subsidence value gradually reaches the maximum under the geological mining conditions. Then, this value no longer grows. The point that reaches the maximum subsidence value moves forward from A1 to A41 with the advancement of the working face. According to the results of the last four observations, the minimum and maximum subsidence values of points A18–A21 are 3335 mm and 3362 mm, respectively. Besides, the subsidence value is 27 mm within six months. The results indicate that the surface subsidence tends to stabilize, and the flat bottom of the moving basin appears from A1 to A21. As the working face advances, the flat bottom of the moving basin stretches forward, and the subsidence value no longer rises. Point A32 is located in the ravine whose surface is uplifted.Figure 3
Dynamic change curve of subsidence of line A on strike.


## 3.2. Dynamic Distribution Characteristics of Subsidence Curve of Line B on Inclination (Bedrock-Exposing Surface)

Line B, a curved observation line, is arranged along the ravine (Figure4). Point B17 is the first to be affected by mining and to experience surface subsidence (during the 7th observation) because it is the closest to the open-off cut. The maximum subsidence (the maximum subsidence value 2115 mm and the average subsidence speed 45 mm/d) is observed at point B15 on line B during the 8th and 9th observations, which last 47 d. The results of the last four observations which last 153 d suggest that the maximum subsidence difference is 12 mm, and the surface subsidence basically tends to stabilize, with the final maximum subsidence value being 3167 mm.Figure 4
Dynamic change curve of subsidence of line B on inclination.


## 3.3. Dynamic Distribution Characteristics of Subsidence Curve of Line C on Inclination

The maximum subsidence (the maximum subsidence value 2363 mm and the average subsidence speed 118.2 mm/d) is observed at point C16 on line C during the fifth and sixth observations, which last 20 d (Figure5). During the eighth and ninth observations which last 47 d, the maximum subsidence value is consistent, and the surface subsidence basically tends to stabilize, with the final maximum subsidence value being 3419 mm.Figure 5
Dynamic change curve of subsidence of line C on inclination.The dynamic distribution characteristics of tilt curve are shown in Figures6–8. It can be seen from the curve that the surface inclination value changes from small to large with the advancement of the working face. During the 21st observation, the maximum value of inclination is −41.7 mm/m (point A29). From the 19th observation to the 21st observation, it can be seen that the moving deformation curve shows the antisymmetric characteristics of the inclined curve from the overall trend. The final distribution is different from that of flat land, which is mainly related to topographic factors. The maximum dynamic tilt deformation value in the strike direction is −41.7 mm/m.Figure 6
Inclined dynamic deformation curve of strike observation.Figure 7
Dynamic deformation curve of inclination observation line B.Figure 8
Dynamic deformation curve of inclination observation line C.From the 13th observation to the 19th observation, the inclination change of inclination B observation line was small, and the regularity of observation results was not strong. Several observations after the 21st observation showed that the inclination reached the maximum value, and the maximum dynamic inclination deformation value of inclination direction was 55.6 mm/m obtained from the 17th observation.The tilt of observation line C changed little from the 13th observation to the 17th observation, and the regularity of observation results was not strong. Several observation results after the 21st observation showed that the surface movement deformation tended to be stable and reached the maximum tilt value. The maximum dynamic tilt deformation value in the trend direction was 48.6 mm/m obtained from the 25th observation.The dynamic distribution characteristics of curvature curve are shown in Figure9. With the advancement of the working face, the surface curvature value gradually increases, and the negative curvature has double peak and multipeak phenomena. The distribution law of each observation is basically the same and only increases in value, but the positive and negative changes of the curvature value in the center of the basin have a large jump. It can be seen from the later observation curves that the curve shape is consistent and the value is basically stable. The maximum dynamic positive curvature deformation value in the strike direction is +1.23 mm/m2 and the maximum dynamic negative curvature deformation is −2.70 mm/m2.Figure 9
Curvature dynamic deformation curve of strike observation line A.Figures10 and 11 show two trends of observation line curvature curves, B and C. The graphic depicts the change rule of different times. The maximum value and scope of the surface curvature steadily grow as the working face advances. The greatest curvature point remains almost constant. The prior observation curve's regularity is weak. The last few observations show obvious regularity, and the curve conforms to the general distribution law of curvature on flat land.Figure 10
Dynamic deformation curve of B-line curvature of tendency observation.Figure 11
Dynamic deformation curve of c-line curvature in tendency observation.The maximum dynamic positive curvature deformation value of inclination B observation line is +1.34 mm/m2, and the maximum dynamic negative curvature deformation value is −1.13 mm/m2.The maximum dynamic positive curvature deformation value of inclination C observation line is +1.15 mm/m2, and the maximum dynamic negative curvature deformation value is −1.30 mm/m2.


## 4. Surface Subsidence Topography and Characteristics

### 4.1. Particularity of Law of Surface Movement in Hilly Areas

The mining-induced surface movement in hilly areas can be classified into two forms. One is continuous movement deformation, that is, mining-induced slides in hilly areas, and the other is discontinuous movement deformation, that is, mining-induced fractures, landslides, and collapses in hilly areas. Compared with mining in the plain, mining in hilly areas exhibits different regularities which are displayed in the following aspects.


#### 4.1.1. Characteristics of Surface Movement and Deformation in Hilly Areas

Because of the slopes in hilly areas, the rock slide or landslide caused by underground mining will result in an increase in horizontal movement towards the downhill direction. Meanwhile, due to the occurrence of mining-induced slide, the upper part of the slope slides downhill under the action of tensile stress or push stress, thus promoting horizontal movement and subsidence towards the downhill direction. Affected by mountain sliding, deformation and extrusion occur, leading to the surface uplift at the ravine. Damaged fractures caused by tensile stress in the upper part of the slope are depicted in Figure12, from which it can be seen that the whole slope moves downhill. Extrusion-induced surface uplift at the ravine is shown in Figure 13.Figure 12
Point 1: soil collapse and landslide at the edge of gully.Figure 13
Point 2: fractures and uplift at the ravine.


#### 4.1.2. Range of Surface Movement in Hilly Areas

Due to the influence of mountain topography, the horizontal movement, the horizontal deformation, and the surface uplift, occurring when the movement boundary is close to the plain or ravine, expand the range of movements in the uphill and downhill directions, thus reducing the boundary angle and movement angle of movement deformation. As can be known from the comprehensive histogram of the coal seam in the mine, the overlying stratum belongs to medium-hard rock. According to Table 1 in the literature [1] and the actual condition (dip angle 5.0°) of P2 working face, the boundary angle on strike, dip boundary angle, rise boundary angle, movement angle on strike, dip movement angle, and rise movement angle of P2 working face can be acquired (Tables 1 and 2). Compared with those of the plain, the measured boundary angle and movement angle of P2 working face are reduced to varying degrees. Specifically, compared with the theoretical values, the boundary angle on strike is reduced by 5°–10°, and the rise boundary angle is reduced by 2°–7°; the movement angle on strike is reduced by 8°–13°, the rise movement angle is reduced by 0°–10°, and the dip movement angle is reduced by 2°–16°, as listed in Tables 1 and 2.Table 1
Boundary angles of observation lines on strike and inclination.
Observation lineBoundary angle on strikeδ0Rise boundary angleγ0Dip boundary angleβ0Measured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike50°55°–60°————Observation line B on inclination——60°55°–60°50°52°–57°Observation line C on inclination——58°50°Table 2
Movement angles of observation lines on strike and inclination.
Measuring lineMovement angle on strikeδRise movement angleγDip movement angleβMeasured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike62°70°–75°———Observation line B on inclination——70°70°–75°65°67°–72°Observation line C on inclination——65°56°


### 4.2. Analysis of Mining Sufficiency

In the final subsidence curves of lines B and C on inclination on P2 working face, no flat bottom occurs in the moving basin, and the maximum subsidence value appears only at one point in its central part. The maximum subsidence value (3167 mm) of line B appears at point B15, while that (3419 mm) of line C appears at point C16. The maximum subsidence value of line C is greater than the average subsidence value (3362 mm) in the flat bottom in the moving basin of line A. It can be inferred that only one observation point (point C16) of line C has reached the maximum subsidence value under the geological mining conditions, so critical full mining has been achieved on line C. In view of the similar buried depths of lines B and C, it can be summarized that only one observation point of lines B and C on inclination has reached the maximum subsidence value under the mining geological conditions, so critical full mining has been achieved on the two lines.In light of the literature [28], the surface is fully mined when the length or width of the gob area reaches or exceeds H0, namely, the average mining depth (ratio 1.2–1.4). P2 working face is 1138 m long and 220 m wide, and the average depths of lines A, B, and C are 208 m, 200 m, and 206 m, respectively. That is, the ratios of mining length to mining height at line A in P2 working face is 5.47, and the ratios of mining width to mining height at lines B and C in P2 working face are 1.1 and 1.07, respectively. In other words, P2 working face with thick bedrock can achieve full mining more easily than those of general geological conditions. It can achieve critical full mining at the ratio of mining width to mining depth of 1.07.


### 4.3. Development and Morphology of Fractures

According to the field fracture investigation in the whole mining process of P2 working face, many large crisscross fractures appear on the surface, and these fractures exhibit obvious regularity in the strike direction. On the whole, they can be divided into two types. The first type is network fractures generated in bedrock-exposing areas (mainly occurring in the vicinity of A1–A6, A17–A19, and A28–A32 of line A, the whole line B, and C7–C17 of line C), and the other type is large fractures in loess-covering areas (mainly occurring near A7–A11 of line A and C1–C6 and C8–C36 of line C).As shown in Figure14, the widths of bedrock surface fractures mostly lie in the range of 20–200 mm, with the maximum width being up to 300 mm. Depths of the fractures differ, with the maximum measured depth being about 10–20 m. Generally, the directions of the fractures are related to the mountain topography; most of the fractures are perpendicular to the downhill direction of the slope and develop approximately along the contour, forming a crisscross fracture network.Figure 14
Point 3: surface rock fractures above the working face.As shown in Figure15, widths of fractures on the loess-covering surface are relatively large, with the maximum width reaching 0.5 m. Besides, these fractures possess a fall of about 0.2 m generally and over 1 m partially. At the edge of the slope, there also occurs an overall slump towards the downhill direction. For example, an overall slump occurs at point A11 of line A, where the root system of vegetation is exposed (Figure 12). Loess-covering surface fractures at nonslope positions often collapse to fill in the fractures (Figure 15).Figure 15
Point 4: surface soil fractures above the working face.


## 4.1. Particularity of Law of Surface Movement in Hilly Areas

The mining-induced surface movement in hilly areas can be classified into two forms. One is continuous movement deformation, that is, mining-induced slides in hilly areas, and the other is discontinuous movement deformation, that is, mining-induced fractures, landslides, and collapses in hilly areas. Compared with mining in the plain, mining in hilly areas exhibits different regularities which are displayed in the following aspects.


### 4.1.1. Characteristics of Surface Movement and Deformation in Hilly Areas

Because of the slopes in hilly areas, the rock slide or landslide caused by underground mining will result in an increase in horizontal movement towards the downhill direction. Meanwhile, due to the occurrence of mining-induced slide, the upper part of the slope slides downhill under the action of tensile stress or push stress, thus promoting horizontal movement and subsidence towards the downhill direction. Affected by mountain sliding, deformation and extrusion occur, leading to the surface uplift at the ravine. Damaged fractures caused by tensile stress in the upper part of the slope are depicted in Figure12, from which it can be seen that the whole slope moves downhill. Extrusion-induced surface uplift at the ravine is shown in Figure 13.Figure 12
Point 1: soil collapse and landslide at the edge of gully.Figure 13
Point 2: fractures and uplift at the ravine.


### 4.1.2. Range of Surface Movement in Hilly Areas

Due to the influence of mountain topography, the horizontal movement, the horizontal deformation, and the surface uplift, occurring when the movement boundary is close to the plain or ravine, expand the range of movements in the uphill and downhill directions, thus reducing the boundary angle and movement angle of movement deformation. As can be known from the comprehensive histogram of the coal seam in the mine, the overlying stratum belongs to medium-hard rock. According to Table 1 in the literature [1] and the actual condition (dip angle 5.0°) of P2 working face, the boundary angle on strike, dip boundary angle, rise boundary angle, movement angle on strike, dip movement angle, and rise movement angle of P2 working face can be acquired (Tables 1 and 2). Compared with those of the plain, the measured boundary angle and movement angle of P2 working face are reduced to varying degrees. Specifically, compared with the theoretical values, the boundary angle on strike is reduced by 5°–10°, and the rise boundary angle is reduced by 2°–7°; the movement angle on strike is reduced by 8°–13°, the rise movement angle is reduced by 0°–10°, and the dip movement angle is reduced by 2°–16°, as listed in Tables 1 and 2.Table 1
Boundary angles of observation lines on strike and inclination.
Observation lineBoundary angle on strikeδ0Rise boundary angleγ0Dip boundary angleβ0Measured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike50°55°–60°————Observation line B on inclination——60°55°–60°50°52°–57°Observation line C on inclination——58°50°Table 2
Movement angles of observation lines on strike and inclination.
Measuring lineMovement angle on strikeδRise movement angleγDip movement angleβMeasured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike62°70°–75°———Observation line B on inclination——70°70°–75°65°67°–72°Observation line C on inclination——65°56°


## 4.1.1. Characteristics of Surface Movement and Deformation in Hilly Areas

Because of the slopes in hilly areas, the rock slide or landslide caused by underground mining will result in an increase in horizontal movement towards the downhill direction. Meanwhile, due to the occurrence of mining-induced slide, the upper part of the slope slides downhill under the action of tensile stress or push stress, thus promoting horizontal movement and subsidence towards the downhill direction. Affected by mountain sliding, deformation and extrusion occur, leading to the surface uplift at the ravine. Damaged fractures caused by tensile stress in the upper part of the slope are depicted in Figure12, from which it can be seen that the whole slope moves downhill. Extrusion-induced surface uplift at the ravine is shown in Figure 13.Figure 12
Point 1: soil collapse and landslide at the edge of gully.Figure 13
Point 2: fractures and uplift at the ravine.


## 4.1.2. Range of Surface Movement in Hilly Areas

Due to the influence of mountain topography, the horizontal movement, the horizontal deformation, and the surface uplift, occurring when the movement boundary is close to the plain or ravine, expand the range of movements in the uphill and downhill directions, thus reducing the boundary angle and movement angle of movement deformation. As can be known from the comprehensive histogram of the coal seam in the mine, the overlying stratum belongs to medium-hard rock. According to Table 1 in the literature [1] and the actual condition (dip angle 5.0°) of P2 working face, the boundary angle on strike, dip boundary angle, rise boundary angle, movement angle on strike, dip movement angle, and rise movement angle of P2 working face can be acquired (Tables 1 and 2). Compared with those of the plain, the measured boundary angle and movement angle of P2 working face are reduced to varying degrees. Specifically, compared with the theoretical values, the boundary angle on strike is reduced by 5°–10°, and the rise boundary angle is reduced by 2°–7°; the movement angle on strike is reduced by 8°–13°, the rise movement angle is reduced by 0°–10°, and the dip movement angle is reduced by 2°–16°, as listed in Tables 1 and 2.Table 1
Boundary angles of observation lines on strike and inclination.
Observation lineBoundary angle on strikeδ0Rise boundary angleγ0Dip boundary angleβ0Measured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike50°55°–60°————Observation line B on inclination——60°55°–60°50°52°–57°Observation line C on inclination——58°50°Table 2
Movement angles of observation lines on strike and inclination.
Measuring lineMovement angle on strikeδRise movement angleγDip movement angleβMeasured valueTheoretical valueMeasured valueTheoretical valueMeasured valueTheoretical valueObservation line A on strike62°70°–75°———Observation line B on inclination——70°70°–75°65°67°–72°Observation line C on inclination——65°56°


## 4.2. Analysis of Mining Sufficiency

In the final subsidence curves of lines B and C on inclination on P2 working face, no flat bottom occurs in the moving basin, and the maximum subsidence value appears only at one point in its central part. The maximum subsidence value (3167 mm) of line B appears at point B15, while that (3419 mm) of line C appears at point C16. The maximum subsidence value of line C is greater than the average subsidence value (3362 mm) in the flat bottom in the moving basin of line A. It can be inferred that only one observation point (point C16) of line C has reached the maximum subsidence value under the geological mining conditions, so critical full mining has been achieved on line C. In view of the similar buried depths of lines B and C, it can be summarized that only one observation point of lines B and C on inclination has reached the maximum subsidence value under the mining geological conditions, so critical full mining has been achieved on the two lines.In light of the literature [28], the surface is fully mined when the length or width of the gob area reaches or exceeds H0, namely, the average mining depth (ratio 1.2–1.4). P2 working face is 1138 m long and 220 m wide, and the average depths of lines A, B, and C are 208 m, 200 m, and 206 m, respectively. That is, the ratios of mining length to mining height at line A in P2 working face is 5.47, and the ratios of mining width to mining height at lines B and C in P2 working face are 1.1 and 1.07, respectively. In other words, P2 working face with thick bedrock can achieve full mining more easily than those of general geological conditions. It can achieve critical full mining at the ratio of mining width to mining depth of 1.07.


## 4.3. Development and Morphology of Fractures

According to the field fracture investigation in the whole mining process of P2 working face, many large crisscross fractures appear on the surface, and these fractures exhibit obvious regularity in the strike direction. On the whole, they can be divided into two types. The first type is network fractures generated in bedrock-exposing areas (mainly occurring in the vicinity of A1–A6, A17–A19, and A28–A32 of line A, the whole line B, and C7–C17 of line C), and the other type is large fractures in loess-covering areas (mainly occurring near A7–A11 of line A and C1–C6 and C8–C36 of line C).As shown in Figure14, the widths of bedrock surface fractures mostly lie in the range of 20–200 mm, with the maximum width being up to 300 mm. Depths of the fractures differ, with the maximum measured depth being about 10–20 m. Generally, the directions of the fractures are related to the mountain topography; most of the fractures are perpendicular to the downhill direction of the slope and develop approximately along the contour, forming a crisscross fracture network.Figure 14
Point 3: surface rock fractures above the working face.As shown in Figure15, widths of fractures on the loess-covering surface are relatively large, with the maximum width reaching 0.5 m. Besides, these fractures possess a fall of about 0.2 m generally and over 1 m partially. At the edge of the slope, there also occurs an overall slump towards the downhill direction. For example, an overall slump occurs at point A11 of line A, where the root system of vegetation is exposed (Figure 12). Loess-covering surface fractures at nonslope positions often collapse to fill in the fractures (Figure 15).Figure 15
Point 4: surface soil fractures above the working face.


## 5. Surface Movement Duration and Subsidence Speed

### 5.1. Duration of Surface Movement

As shown in Figure3, subsidence at point A25 in line A begins at the eighth observation and stabilizes at the tenth observation. The observation at point A25 lasts 77 d. Point A23, one of the maximum subsidence points in line A, starts to subside at the eighth observation. According to the observation records, the working face advances to a position 860.3 m away from the open-off cut during the seventh observation and to a position 971.7 m away from the open-off cut during the eighth observation. That is, the working face advances for 111.4 m within 46 d, and the advancement speed is 2.42 m/d during the observation. It can be inversely calculated that point A23 (about 63 m away from point A25) started to subside 26 d ago, which means the total surface stabilization time at point A23 is 77 + 26 = 103 d. As shown in Figure 4, point B15 is the observation point with the maximum subsidence value in line B. It does not subside at the sixth observation, reaches the maximum value at the ninth observation, and tends to stabilize later. The stage lasts 133 d. Hence, maximum surface stabilization time is deduced to be 133 d. As shown in Figure 5, point C16 in line C does not begin to subside at the second observation and basically stabilizes at the sixth observation. The stage lasts 108 d. Therefore, the maximum surface stabilization time is inferred to be 108 d.With reference to literature [66], the duration of surface movement can be determined based on the measured data in this mining area. When there is no measured data, the duration (T) of surface movement can be calculated according to the following formula:(1)T=2.5H0H0≤400m.It is worked out that 208∗2.5 = 520 d, 200∗2.5 = 500 d, and 206∗2.5 = 515 d are required for lines A, B, and C. As revealed by the previous analysis, the surface subsidence stabilization times of lines A and C are closer to the actual values than that of line B. Their average subsidence stabilization time and theoretically calculated subsidence stabilization time are (108 + 103) ÷ 2 = 105.5 d and (520 + 515) ÷ 2 = 517.5 d, respectively. Obviously, the actual subsidence stabilization time is much shorter than and only 105.5 ÷ 517.5 = 20% of the theoretically calculated value. This result manifests that the fully mechanized caving mining working face with thick bedrock can achieve surface stabilization more easily. In addition, the time required for subsidence stabilization of bedrock-exposing surface is short, with the required time ratio being 108/103 = 1.05. The subsidence stabilization times of thick bedrock-exposing surface and thick bedrock surface with thin epipedon are basically the same.


### 5.2. Maximum Surface Subsidence Speed

Surface subsidence speed refers to the subsidence amount per unit time caused by underground mining. Each point (A1–A21) on the observation line on strike of the surface movement observation station has reached the maximum subsidence, so the calculation of the surface subsidence speed can be figured out by using multiperiod observation results at any point. The observation values and calculation results of each period are disclosed in Table3.Table 3
Calculation of subsidence speed of the maximum subsidence point.
Serial numberObservation dateW (mm)Days intervalSubsidence interval difference (mm)V (mm/day)Distance to working face (m)11st observation2nd observation112729911.1−198.023rd observation310−129.94th observation352938.435th observation603−67.76th observation2336716.047th observation97035.88th observation202363118.259th observation3333153.310th observation37401.1611th observation3373333.312th observation48450.9713th observation3418—14th observation4610.02As given in Table3, the subsidence difference from the fifth observation to the sixth observation is ∆W = 2363 mm, and the observation interval is t = 20 d. The maximum surface subsidence speed can be calculated according to the following formula:(2)VMax=ΔWt=236320=118.20mmd.In fact, except for the maximum subsidence speed 118.20 mm/d, the subsidence speeds at other times are relatively low. This indicates that considerable surface subsidence occurs in a short period of time, and overburden subsidence is sudden and violent. Given the characteristics in hilly areas, when serious discontinuous damage appears on the surface, the possibility of sudden discontinuous movement and deformation such as large fractures, landslides, and collapses will increase (Figure12).


## 5.1. Duration of Surface Movement

As shown in Figure3, subsidence at point A25 in line A begins at the eighth observation and stabilizes at the tenth observation. The observation at point A25 lasts 77 d. Point A23, one of the maximum subsidence points in line A, starts to subside at the eighth observation. According to the observation records, the working face advances to a position 860.3 m away from the open-off cut during the seventh observation and to a position 971.7 m away from the open-off cut during the eighth observation. That is, the working face advances for 111.4 m within 46 d, and the advancement speed is 2.42 m/d during the observation. It can be inversely calculated that point A23 (about 63 m away from point A25) started to subside 26 d ago, which means the total surface stabilization time at point A23 is 77 + 26 = 103 d. As shown in Figure 4, point B15 is the observation point with the maximum subsidence value in line B. It does not subside at the sixth observation, reaches the maximum value at the ninth observation, and tends to stabilize later. The stage lasts 133 d. Hence, maximum surface stabilization time is deduced to be 133 d. As shown in Figure 5, point C16 in line C does not begin to subside at the second observation and basically stabilizes at the sixth observation. The stage lasts 108 d. Therefore, the maximum surface stabilization time is inferred to be 108 d.With reference to literature [66], the duration of surface movement can be determined based on the measured data in this mining area. When there is no measured data, the duration (T) of surface movement can be calculated according to the following formula:(1)T=2.5H0H0≤400m.It is worked out that 208∗2.5 = 520 d, 200∗2.5 = 500 d, and 206∗2.5 = 515 d are required for lines A, B, and C. As revealed by the previous analysis, the surface subsidence stabilization times of lines A and C are closer to the actual values than that of line B. Their average subsidence stabilization time and theoretically calculated subsidence stabilization time are (108 + 103) ÷ 2 = 105.5 d and (520 + 515) ÷ 2 = 517.5 d, respectively. Obviously, the actual subsidence stabilization time is much shorter than and only 105.5 ÷ 517.5 = 20% of the theoretically calculated value. This result manifests that the fully mechanized caving mining working face with thick bedrock can achieve surface stabilization more easily. In addition, the time required for subsidence stabilization of bedrock-exposing surface is short, with the required time ratio being 108/103 = 1.05. The subsidence stabilization times of thick bedrock-exposing surface and thick bedrock surface with thin epipedon are basically the same.


## 5.2. Maximum Surface Subsidence Speed

Surface subsidence speed refers to the subsidence amount per unit time caused by underground mining. Each point (A1–A21) on the observation line on strike of the surface movement observation station has reached the maximum subsidence, so the calculation of the surface subsidence speed can be figured out by using multiperiod observation results at any point. The observation values and calculation results of each period are disclosed in Table3.Table 3
Calculation of subsidence speed of the maximum subsidence point.
Serial numberObservation dateW (mm)Days intervalSubsidence interval difference (mm)V (mm/day)Distance to working face (m)11st observation2nd observation112729911.1−198.023rd observation310−129.94th observation352938.435th observation603−67.76th observation2336716.047th observation97035.88th observation202363118.259th observation3333153.310th observation37401.1611th observation3373333.312th observation48450.9713th observation3418—14th observation4610.02As given in Table3, the subsidence difference from the fifth observation to the sixth observation is ∆W = 2363 mm, and the observation interval is t = 20 d. The maximum surface subsidence speed can be calculated according to the following formula:(2)VMax=ΔWt=236320=118.20mmd.In fact, except for the maximum subsidence speed 118.20 mm/d, the subsidence speeds at other times are relatively low. This indicates that considerable surface subsidence occurs in a short period of time, and overburden subsidence is sudden and violent. Given the characteristics in hilly areas, when serious discontinuous damage appears on the surface, the possibility of sudden discontinuous movement and deformation such as large fractures, landslides, and collapses will increase (Figure12).


## 6. Conclusions

(1)
The upper part of the slope in hilly areas slides towards the downhill direction under the action of tensile stress or push stress. As a result, the ranges of horizontal movement and subsidence towards the downhill direction both increase. Affected by the sliding in the ravine of the mountain, the ground may be extruded and deformed, leading to the surface uplift at the ravine, an increase in the range of ground surface movement, and decreases in the movement angle and the boundary angle. In addition, the surface movement duration of HIFMCMWFSTBTE in hilly areas is relatively short. Considerable subsidence will occur in the active stage, and the surface subsidence is sudden and violent. The measured surface stabilization time of P2 working face is only 20% of the calculated value in theSpecification.(2)
HIFMCMWFSTBTE can achieve full mining more easily than those of other geological conditions. Its critical value of full mining is smaller than the ratio (1.2–1.4) of mining width to mining depth in traditional experience. According to the field measurement, critical full mining can be achieved in P2 working face when the ratio of mining width to mining depth is 1.07.(3)
HIFMCMWFSTBTE is prone to serious sudden discontinuous and strongly regular damage. Fractures on the gully region surface develop along the contour, forming a crisscross fracture network. Fractures on the horizontal surface are approximately parallel to the working face. Fractures on the loess-covering surface open with the mining of the working face first and then close or decrease in width, and fractures on the bedrock-exposing surface are not easy to close after being generated.



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*Source: 6515245-2021-12-11.xml*