# Deformation Rules for Surrounding Rock in Directional Weakening of End Roofs of Thin Bedrocks and Ultrathick Seams

Authors: Fei Liu; Zhanguo Ma; Yongsheng Han; Zhimin Huang
Journal: Advances in Civil Engineering
 (2020)

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## Abstract

With the deployment of China’s energy strategy in the western regions, complex geological mining conditions such as thin bedrock and ultrathick seams in western China have caused a series of problems such as serious deformation of the surrounding rock at the ends of the working face and the increase in the lead abutment pressure of the roadways; the research on end roof deformation in the resource exploitation in western China has become one of the great demands of the industry. Based on the failure characteristics of rock mass, relying on the actual mining geological conditions of a coal mine in Inner Mongolia, the failure characteristics of the overlying rock strata under the influence of mining were simulated and analyzed using similar material simulation experiment, which intuitively reproduced the failure and deformation processes of the immediate roof, main roof, and key strata and revealed the mechanical mechanism of the directional weakening of the end roof. It is of great significance for the stability control of the surrounding rock at the end of the fully mechanized caving face in the thin bedrocks and ultrathick seams, reducing the abutment pressure of gate roadway and controlling the spontaneous combustion of residual coal in the goaf.


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## Body

## 1. Introduction

The “13th Five-Year Plan” determines that China’s energy production layout will continue to move westward, and the western region is still the main position of China’s energy production [1]. The open roof area of the upper and lower ends of the fully mechanized caving face is large, which is located at the superposition of the strike support pressure and the inclined abutment pressure of the stope. The special geological conditions such as ultrathick seam and thin bedrock in the West further lead to a series of problems, such as serious deformation of surrounding rock at the end (as shown in Figure 1), increase of advance abutment pressure of roadway [2, 3], and low resource recovery rate [4, 5] of working face. The existing roof deformation control theory is difficult to ensure the safe and efficient production of western mines. In order to effectively control the deformation of surrounding rock at the ends, a lot of research work has been carried out on the mechanical mechanism of deformation of end roof at home and abroad in recent years, and a large number of theoretical and technical application results have been obtained. Xiao [6] studied the structural stability of the ends of the fully mechanized caving face and believed that the supports at the ends of top-caving mining face are the difficult points for stope support and the main reason lies in the formation and stability of the arc triangle plate at the ends; Liu [7] studied the support technology at the ends of longwall fully mechanized caving face in steep thick seams; Yang and Liu [8] analyzed the caving form of the overlying strata at the ends with the method of theoretical calculation; Fang et al. [9] established the structural mechanics module of the end triangle area and analyzed the mechanism of instability and failure of the arc triangle area; the scholars Sellers and Klerck [10] have found through study that the discontinuous surface generated inside the surrounding rock due to fissures and weak faces in the surrounding rock of the roadway as well as the discontinuity surface created by joint connection in the surrounding rock is one of the main reasons for the fracture spacing in the surrounding rock of the roadway. The presplitting pressure relief technology is [11] a technique to change the physical and mechanical properties of the rock mass through artificial intervention such as hydraulic fracturing or presplitting blasting, so as to weaken the structural strength of the coal rock mass and increase the fissure content, thereby achieving the purpose of permeability improvement or pressure relief. The presplitting pressure relief technology has been widely used in the prevention and control of low-permeability coal seam gas extraction, rock burst, and the control of surrounding rock in mining space [12, 13]. Dai [14] believes that presplitting blasting can eliminate the hinging effect between the fractured rocks of a hard roof, thereby promoting caving of the roof.Figure 1
Deformation diagram of surrounding rock of end roofs in test area.On-site exploration has the advantages of trustworthiness and reliability, but it features long cycle, heavy workload, high cost, and difficulty in grasping the main factors for mechanism analysis. The empirical formulas and theoretical analysis are simple and easy to operate, but there are larger calculation errors in related engineering due to the difficulty in generalization of complex mining geological conditions. A similar simulation [15–17] has the advantages of high efficiency, strong intuitiveness, good repeatability, good flexibility, and so on and can simulate the continuous dynamic deformation and failure process of the rock stratum. Therefore, in order to further investigate the deformation rules of surrounding rock in directional weakening of end roofs, in this paper, a similar material simulation experiment was used, based on the failure characteristics of rock mass and relying on the actual mining geological conditions of a coal mine in Inner Mongolia, to simulate and analyze the failure characteristics of the overlying rock strata under the influence of mining; it intuitively reproduced the failure and deformation processes of the immediate roof, main roof, and key strata and revealed the mechanical mechanism of the directional weakening of the end roof, which is of great significance for the stability control of the surrounding rock at the end of the fully mechanized caving face in the thin bedrocks and ultrathick seams, the improvement of the mining rate of coal resources, the reduction of the abutment pressure of gate roadway, and the control of the spontaneous combustion of residual coal in the goaf.


## 2. Engineering Geological Conditions

The surface of the well field in Ordos Loess Plateau of the western regions is overlaid by a large area of loess and aeolian sand, and the bedrock is exposed only in larger gullies. With complex terrain and criss-cross ravines and gullies, this region has well-developed dendritic gullies. The general trend of the terrain is high in the southwest and low in the northeast at an altitude of about 1127–1346 m, with an altitude difference of 219 m. Number 6 coal seam is mainly mined in the minefield. The minable thickness of the coal seam ranges from 6.05 to 35.50 m, with an average thickness of 16.0 m, belonging to stable to relatively stable coal seams. The structure of the coal seam has a complex structure, soft in the middle, hard at the top, relatively hard at the bottom, and being with developed fissures and a lot of dirt bands. The coal seam roof is mainly semihard and has a relatively high proportion of soft rock on the floor, most of which is mudstone, claystone, and carbonaceous mudstone. Detailed lithological descriptions of the rock strata are illustrated in Figure2.Figure 2
Lithological descriptions of the rock strata at number 6 coal seam.


## 3. Design of Similar Simulation Test

### 3.1. Model Bench and Related Instruments

A bench designed independently by China University of Mining and Technology was adopted to establish a similar simulation test model in which a high-speed static strain collection system was used to record the changes in the pressure cell data during the mining process, changes in rock formation displacement were observed with digital photographic measurement technology, and a hydraulic loading system was used to pressurize the overlying rock strata. PhotoInfor [18–20], a practical software system for digital photography measurement developed by China University of Mining and Technology, was used for digital image analysis. The test system is shown in Figure 3.Figure 3
Test equipment. (a) Digital photogrammetric system and (b) rock stress collection system.
(a)(b)


### 3.2. Similar Model Parameters

This test simulated the rock strata with a total thickness of 112.9 m from the coal seam floor-coal seam roof of the coal seam, with a coal seam thickness of 16 m. The cross section of the simulated roadway is rectangular, with a width of 5.5 m, a height of 3.7 m, and a cross-sectional area of 20.35 m2. The model geometric similarity ratio αl=ym/yp=zm/zp=1/100, bulk density similarity coefficient [15] αγ=γmi/γpi=0.65, elastic modulus similarity coefficient [15, 21] αE=1/154, and time coefficient of 1/10 were taken. Similar materials are shown in Figure 4.Figure 4
Similar materials. (a) River sand, (b) gypsum powder, and (c) calcium carbonate powder.
(a)(b)(c)


### 3.3. Similar Material Compounding Ratio

Based on the determination of the strength of the site rock strata, combined with the principle of similar simulation test, the strength of each layer in the model test was calculated. Ordinary fine-grained river sand (with a particle size of less than 3 mm) was selected as aggregate, and gypsum and calcium carbonate were used as cementing materials. For the strength of similar materials in [22–24], a test specimen with a reasonable compounding ratio was prepared for a strength verification test (as shown in Figure 5), and the parameters of each stratified material ratio in this model were finally determined as shown in Table 1.Figure 5
Strength test of similar materials [1]. (a) Sample of similar material and (b) strength test process.
(a)(b)Table 1
Ratio parameters of layered materials.
Rock layer nameDepth of stratum (m)Model thickness (cm)Sand (kg)Calcium carbonate (kg)Gypsum (kg)Total mass (kg)Glutenite14.314.332.842.532.5337.89Basalt5511.591.320.3313.25Fine sandstone2.62.65.970.640.286.89Medium sandstone202044.164.424.4252.99Sandy mudstone8.38.319.241.920.8221.99Fine sandstone6.36.311.131.114.4516.69Conglomerate151535.773.180.7939.74Siltstone5510.600.791.8513.25Medium sandstone1.11.12.550.110.262.91Siltstone6.76.715.021.910.8217.75Coal161637.092.123.1842.39Siltstone101022.421.222.8526.50Fine sandstone2.62.64.590.691.616.89


### 3.4. Test Method and Arrangement of Measuring Points

This test studied the effect of changes in topping angle on pressure release from excessive pressure of coal pillars in the section between F6203 and F6024 working faces and the roadway of the F6204 working face caused by overlength suspension roof at the ends of the goaf for F6203 working face. The 30°, 45°, and 60° fissures were prefabricated in the overlying rock strata on the side of F6203 working face from the angle of auxiliary transportation roadway on F6204. During the mining process, by caving of the overlying rock strata along the prefabricated fissures, the stress changes before and after the caving were analyzed. The pressure measuring points and displacement measuring lines were arranged as shown in Figure6. There were three rows of pressure cells placed from bottom to top. The pressure cells in bottom row were numbered from A1 to A6 from left to right, the ones in the middle row were numbered from B1 to B6, and the ones in the top row were numbered from C1 to C6.Figure 6
Layout of measuring points and lines of prefabricated roof fracture.During the test, the model was excavated from left to right, the width of three hydraulic supports was collected, and then the top coal was drawn once for sublevel caving. Since the roof deformation is relatively large and the model stability time is relatively long during the period of drawing top coal for mining, when the drawing has a significant effect on the stress and deformation of the surrounding rock at the ends and the coal pillars in sections, stability time of 0.5 to 1.0 h is required for each measurement within the model.


## 3.1. Model Bench and Related Instruments

A bench designed independently by China University of Mining and Technology was adopted to establish a similar simulation test model in which a high-speed static strain collection system was used to record the changes in the pressure cell data during the mining process, changes in rock formation displacement were observed with digital photographic measurement technology, and a hydraulic loading system was used to pressurize the overlying rock strata. PhotoInfor [18–20], a practical software system for digital photography measurement developed by China University of Mining and Technology, was used for digital image analysis. The test system is shown in Figure 3.Figure 3
Test equipment. (a) Digital photogrammetric system and (b) rock stress collection system.
(a)(b)


## 3.2. Similar Model Parameters

This test simulated the rock strata with a total thickness of 112.9 m from the coal seam floor-coal seam roof of the coal seam, with a coal seam thickness of 16 m. The cross section of the simulated roadway is rectangular, with a width of 5.5 m, a height of 3.7 m, and a cross-sectional area of 20.35 m2. The model geometric similarity ratio αl=ym/yp=zm/zp=1/100, bulk density similarity coefficient [15] αγ=γmi/γpi=0.65, elastic modulus similarity coefficient [15, 21] αE=1/154, and time coefficient of 1/10 were taken. Similar materials are shown in Figure 4.Figure 4
Similar materials. (a) River sand, (b) gypsum powder, and (c) calcium carbonate powder.
(a)(b)(c)


## 3.3. Similar Material Compounding Ratio

Based on the determination of the strength of the site rock strata, combined with the principle of similar simulation test, the strength of each layer in the model test was calculated. Ordinary fine-grained river sand (with a particle size of less than 3 mm) was selected as aggregate, and gypsum and calcium carbonate were used as cementing materials. For the strength of similar materials in [22–24], a test specimen with a reasonable compounding ratio was prepared for a strength verification test (as shown in Figure 5), and the parameters of each stratified material ratio in this model were finally determined as shown in Table 1.Figure 5
Strength test of similar materials [1]. (a) Sample of similar material and (b) strength test process.
(a)(b)Table 1
Ratio parameters of layered materials.
Rock layer nameDepth of stratum (m)Model thickness (cm)Sand (kg)Calcium carbonate (kg)Gypsum (kg)Total mass (kg)Glutenite14.314.332.842.532.5337.89Basalt5511.591.320.3313.25Fine sandstone2.62.65.970.640.286.89Medium sandstone202044.164.424.4252.99Sandy mudstone8.38.319.241.920.8221.99Fine sandstone6.36.311.131.114.4516.69Conglomerate151535.773.180.7939.74Siltstone5510.600.791.8513.25Medium sandstone1.11.12.550.110.262.91Siltstone6.76.715.021.910.8217.75Coal161637.092.123.1842.39Siltstone101022.421.222.8526.50Fine sandstone2.62.64.590.691.616.89


## 3.4. Test Method and Arrangement of Measuring Points

This test studied the effect of changes in topping angle on pressure release from excessive pressure of coal pillars in the section between F6203 and F6024 working faces and the roadway of the F6204 working face caused by overlength suspension roof at the ends of the goaf for F6203 working face. The 30°, 45°, and 60° fissures were prefabricated in the overlying rock strata on the side of F6203 working face from the angle of auxiliary transportation roadway on F6204. During the mining process, by caving of the overlying rock strata along the prefabricated fissures, the stress changes before and after the caving were analyzed. The pressure measuring points and displacement measuring lines were arranged as shown in Figure6. There were three rows of pressure cells placed from bottom to top. The pressure cells in bottom row were numbered from A1 to A6 from left to right, the ones in the middle row were numbered from B1 to B6, and the ones in the top row were numbered from C1 to C6.Figure 6
Layout of measuring points and lines of prefabricated roof fracture.During the test, the model was excavated from left to right, the width of three hydraulic supports was collected, and then the top coal was drawn once for sublevel caving. Since the roof deformation is relatively large and the model stability time is relatively long during the period of drawing top coal for mining, when the drawing has a significant effect on the stress and deformation of the surrounding rock at the ends and the coal pillars in sections, stability time of 0.5 to 1.0 h is required for each measurement within the model.


## 4. Deformation Rules for Overlying Strata in the Fully Mechanized Sublevel Caving Face with the Thin Bedrock and Ultrathick Seam

### 4.1. Analysis on Limit Breaking Distance of Immediate Roof

After the coal seam is mined, the immediate roof will partially overhang. As the working face advances forward, the overhanging area continues to increase. When the suspension part of the immediate roof reaches a certain length, fracture failure will occur. The fracture forms of immediate roof are shown in Figure7.Figure 7
Breaking law of immediate roof. (a) Before the first break, (b) after the first break, (c) before the second break, and (d) after the second break.
(a)(b)(c)(d)Figure7 is a diagram of two fracture processes of immediate roofs. Through measurement and analysis, it can be determined that the limit fracture distance of the immediate roof is about 13 m and the fracture angle is about 63° in the test area.


### 4.2. Deformation Analysis of Overlying Rock Strata Structure with Caving of the Main Roof

In this test, PhotoInfor image processing software was used to track and analyze the displacement of the rock strata, and the displacement was calculated according to the pixel coordinates in the image. The output results were converted from pixel coordinates to actual coordinates, and the measured width of the model image of 2500 pixels was equivalent to the actual model width of 138 cm for displacement treatment. Grid partitioning is shown in Figure8.Figure 8
Grid partitioning.


#### 4.2.1. Analysis on the Test Process and Model Displacement Vector Cloud Diagram

The fracture test process diagram and model displacement vector cloud diagram for the main roof are shown in Figures9 and 10.Figure 9
Model diagram and displacement vector cloud diagram of primary collapse of basic roof.Figure 10
Model diagram and displacement vector cloud diagram of the third appearance of fracture zone.As shown in Figures9 and 10, it can be found that with the advancement of the working face, the overlying rock strata on the working face have undergone three processes of “separation-caving-compacting.” The greater the cracking degree of the lower rock strata is, the smaller the cracking of the upper rock strata will be, mainly manifested by bending and subsidence. When caving of the main roof occurred for the first time, as shown in Figure 9, the displacement and deformation were mainly concentrated in the caving part. Although the displacement of the rock strata above the caving zone changed, the change was small; as excavation continued, as shown in Figure 10, the crack zone first appeared and developed to the surface, forming obvious “three zones,” namely, the caving zone, crack zone, and curved subsidence zone. Through the displacement vector flow field, with the vector direction obliquely to the lower left, it can be seen that the overlying rock strata on the working face are significantly curved and subsided, and the displacement of each rock stratum is increased compared with the initial caving; as shown in Figure 10, when the crack zone appeared for the second time, the previous crack was gradually closed, the existing goaf was compacted, and the maximum displacement became larger than when the fissure through the surface appeared for the first time; as working face advanced, as shown in Figure 10, the overlying rock strata developed through fissures for the third time. Through measurement, it was found that the angles of the three fractures in the strata were almost the same, about 69°.


#### 4.2.2. Subsidence Curve of the Fracture Measuring Line of the Main Roof

As shown in the displacement curve in Figure11, when caving of the main roof occurred for the first time, the three measuring lines hardly subsided, with the maximum subsidence value of 0.65 cm, and the overlying rock strata hardly had any displacement; when the crack zone first appeared, as shown in Figure 12, the “three zones” began to appear. The third measuring line subsidence was larger, with the maximum subsidence value of 13.7 cm, and the main roof of the overlying rock strata had a great displacement. When the crack zone appeared for the second time, as shown in Figure 13, the “three zones” appeared clearly. The overlying rock strata began to coordinate and subside synchronously. The first and second measuring lines had almost the same value of subsidence. The largest subsidence occurred on the third measuring line, with a maximum value of 16.1 cm, and the third measuring line showed sinusoidal bending, mainly due to the irregular caving of the lower rock strata. When the crack zone appeared for the third time, as shown in Figure 14, the three measuring lines had large subsidence, with the maximum subsidence of 16.1 cm, and the goaf at the back was gradually compacted and stabilized.Figure 11
Displacement curve line of primary caving of basic roof.Figure 12
Displacement curve line of the first appearance of the fracture zone.Figure 13
Displacement curve line of the second appearance of the fracture zone.Figure 14
Displacement curve line of the third appearance of the fracture zone.


### 4.3. Key Strata Structure Analysis

According to the key strata theory, the rock strata that control the activity of some rock strata in the overlying rock strata of the stope or all rock strata to the surface are called the key strata, the former is called the inferior key strata, and the latter is called the main key strata. The deformation characteristics of the main key strata overlying the stope indicate that when the key strata subside and deform, the value of subsidence of all the overlying rock strata is synchronously coordinated; the fracture characteristics show that the fracture of key strata will cause the synchronous fracture of all overlying rock strata, leading to displacement of rock strata on a larger scale; its bearing characteristics show that the key strata take the form of “plate” (or simply “beam”) as the main bearing body of all rock strata before fracture, become the masonry beam structure after fracture, and continue to become the bearing body. By observing the entire test process, it was found that the 7.8 m–22 m rock strata above the top coal were fractured, which had a greater impact on the overlying rock strata. After fracture, it directly caused the synchronous fracture of all the overlying rock strata, which was consistent with the characteristics of the key strata, so it was initially determined as the main key strata of the mine in the test area. The specific test process is shown in Figure15.Figure 15
Model overview before and after key stratum breaking. (a) Before key stratum breaking and (b) after key stratum breaking.
(a)(b)As shown in Figure15(a), it was the model before the key strata fracture with no significant fissure in the middle rock strata. As excavation continued, as shown in Figure 15(b), the key strata were fractured, and the crack penetrated to the surface, causing the synchronously coordinated subsidence of upper rock strata. After fracturing, a masonry beam structure was formed to continue to support the overlying rock strata. The subsidence angle of block B is 12°, the length is 16 cm, and the length of block C is 15.5 cm.


## 4.1. Analysis on Limit Breaking Distance of Immediate Roof

After the coal seam is mined, the immediate roof will partially overhang. As the working face advances forward, the overhanging area continues to increase. When the suspension part of the immediate roof reaches a certain length, fracture failure will occur. The fracture forms of immediate roof are shown in Figure7.Figure 7
Breaking law of immediate roof. (a) Before the first break, (b) after the first break, (c) before the second break, and (d) after the second break.
(a)(b)(c)(d)Figure7 is a diagram of two fracture processes of immediate roofs. Through measurement and analysis, it can be determined that the limit fracture distance of the immediate roof is about 13 m and the fracture angle is about 63° in the test area.


## 4.2. Deformation Analysis of Overlying Rock Strata Structure with Caving of the Main Roof

In this test, PhotoInfor image processing software was used to track and analyze the displacement of the rock strata, and the displacement was calculated according to the pixel coordinates in the image. The output results were converted from pixel coordinates to actual coordinates, and the measured width of the model image of 2500 pixels was equivalent to the actual model width of 138 cm for displacement treatment. Grid partitioning is shown in Figure8.Figure 8
Grid partitioning.


### 4.2.1. Analysis on the Test Process and Model Displacement Vector Cloud Diagram

The fracture test process diagram and model displacement vector cloud diagram for the main roof are shown in Figures9 and 10.Figure 9
Model diagram and displacement vector cloud diagram of primary collapse of basic roof.Figure 10
Model diagram and displacement vector cloud diagram of the third appearance of fracture zone.As shown in Figures9 and 10, it can be found that with the advancement of the working face, the overlying rock strata on the working face have undergone three processes of “separation-caving-compacting.” The greater the cracking degree of the lower rock strata is, the smaller the cracking of the upper rock strata will be, mainly manifested by bending and subsidence. When caving of the main roof occurred for the first time, as shown in Figure 9, the displacement and deformation were mainly concentrated in the caving part. Although the displacement of the rock strata above the caving zone changed, the change was small; as excavation continued, as shown in Figure 10, the crack zone first appeared and developed to the surface, forming obvious “three zones,” namely, the caving zone, crack zone, and curved subsidence zone. Through the displacement vector flow field, with the vector direction obliquely to the lower left, it can be seen that the overlying rock strata on the working face are significantly curved and subsided, and the displacement of each rock stratum is increased compared with the initial caving; as shown in Figure 10, when the crack zone appeared for the second time, the previous crack was gradually closed, the existing goaf was compacted, and the maximum displacement became larger than when the fissure through the surface appeared for the first time; as working face advanced, as shown in Figure 10, the overlying rock strata developed through fissures for the third time. Through measurement, it was found that the angles of the three fractures in the strata were almost the same, about 69°.


### 4.2.2. Subsidence Curve of the Fracture Measuring Line of the Main Roof

As shown in the displacement curve in Figure11, when caving of the main roof occurred for the first time, the three measuring lines hardly subsided, with the maximum subsidence value of 0.65 cm, and the overlying rock strata hardly had any displacement; when the crack zone first appeared, as shown in Figure 12, the “three zones” began to appear. The third measuring line subsidence was larger, with the maximum subsidence value of 13.7 cm, and the main roof of the overlying rock strata had a great displacement. When the crack zone appeared for the second time, as shown in Figure 13, the “three zones” appeared clearly. The overlying rock strata began to coordinate and subside synchronously. The first and second measuring lines had almost the same value of subsidence. The largest subsidence occurred on the third measuring line, with a maximum value of 16.1 cm, and the third measuring line showed sinusoidal bending, mainly due to the irregular caving of the lower rock strata. When the crack zone appeared for the third time, as shown in Figure 14, the three measuring lines had large subsidence, with the maximum subsidence of 16.1 cm, and the goaf at the back was gradually compacted and stabilized.Figure 11
Displacement curve line of primary caving of basic roof.Figure 12
Displacement curve line of the first appearance of the fracture zone.Figure 13
Displacement curve line of the second appearance of the fracture zone.Figure 14
Displacement curve line of the third appearance of the fracture zone.


## 4.2.1. Analysis on the Test Process and Model Displacement Vector Cloud Diagram

The fracture test process diagram and model displacement vector cloud diagram for the main roof are shown in Figures9 and 10.Figure 9
Model diagram and displacement vector cloud diagram of primary collapse of basic roof.Figure 10
Model diagram and displacement vector cloud diagram of the third appearance of fracture zone.As shown in Figures9 and 10, it can be found that with the advancement of the working face, the overlying rock strata on the working face have undergone three processes of “separation-caving-compacting.” The greater the cracking degree of the lower rock strata is, the smaller the cracking of the upper rock strata will be, mainly manifested by bending and subsidence. When caving of the main roof occurred for the first time, as shown in Figure 9, the displacement and deformation were mainly concentrated in the caving part. Although the displacement of the rock strata above the caving zone changed, the change was small; as excavation continued, as shown in Figure 10, the crack zone first appeared and developed to the surface, forming obvious “three zones,” namely, the caving zone, crack zone, and curved subsidence zone. Through the displacement vector flow field, with the vector direction obliquely to the lower left, it can be seen that the overlying rock strata on the working face are significantly curved and subsided, and the displacement of each rock stratum is increased compared with the initial caving; as shown in Figure 10, when the crack zone appeared for the second time, the previous crack was gradually closed, the existing goaf was compacted, and the maximum displacement became larger than when the fissure through the surface appeared for the first time; as working face advanced, as shown in Figure 10, the overlying rock strata developed through fissures for the third time. Through measurement, it was found that the angles of the three fractures in the strata were almost the same, about 69°.


## 4.2.2. Subsidence Curve of the Fracture Measuring Line of the Main Roof

As shown in the displacement curve in Figure11, when caving of the main roof occurred for the first time, the three measuring lines hardly subsided, with the maximum subsidence value of 0.65 cm, and the overlying rock strata hardly had any displacement; when the crack zone first appeared, as shown in Figure 12, the “three zones” began to appear. The third measuring line subsidence was larger, with the maximum subsidence value of 13.7 cm, and the main roof of the overlying rock strata had a great displacement. When the crack zone appeared for the second time, as shown in Figure 13, the “three zones” appeared clearly. The overlying rock strata began to coordinate and subside synchronously. The first and second measuring lines had almost the same value of subsidence. The largest subsidence occurred on the third measuring line, with a maximum value of 16.1 cm, and the third measuring line showed sinusoidal bending, mainly due to the irregular caving of the lower rock strata. When the crack zone appeared for the third time, as shown in Figure 14, the three measuring lines had large subsidence, with the maximum subsidence of 16.1 cm, and the goaf at the back was gradually compacted and stabilized.Figure 11
Displacement curve line of primary caving of basic roof.Figure 12
Displacement curve line of the first appearance of the fracture zone.Figure 13
Displacement curve line of the second appearance of the fracture zone.Figure 14
Displacement curve line of the third appearance of the fracture zone.


## 4.3. Key Strata Structure Analysis

According to the key strata theory, the rock strata that control the activity of some rock strata in the overlying rock strata of the stope or all rock strata to the surface are called the key strata, the former is called the inferior key strata, and the latter is called the main key strata. The deformation characteristics of the main key strata overlying the stope indicate that when the key strata subside and deform, the value of subsidence of all the overlying rock strata is synchronously coordinated; the fracture characteristics show that the fracture of key strata will cause the synchronous fracture of all overlying rock strata, leading to displacement of rock strata on a larger scale; its bearing characteristics show that the key strata take the form of “plate” (or simply “beam”) as the main bearing body of all rock strata before fracture, become the masonry beam structure after fracture, and continue to become the bearing body. By observing the entire test process, it was found that the 7.8 m–22 m rock strata above the top coal were fractured, which had a greater impact on the overlying rock strata. After fracture, it directly caused the synchronous fracture of all the overlying rock strata, which was consistent with the characteristics of the key strata, so it was initially determined as the main key strata of the mine in the test area. The specific test process is shown in Figure15.Figure 15
Model overview before and after key stratum breaking. (a) Before key stratum breaking and (b) after key stratum breaking.
(a)(b)As shown in Figure15(a), it was the model before the key strata fracture with no significant fissure in the middle rock strata. As excavation continued, as shown in Figure 15(b), the key strata were fractured, and the crack penetrated to the surface, causing the synchronously coordinated subsidence of upper rock strata. After fracturing, a masonry beam structure was formed to continue to support the overlying rock strata. The subsidence angle of block B is 12°, the length is 16 cm, and the length of block C is 15.5 cm.


## 5. Stress Analysis of Coal Pillars of the Lower Sections with Variable Angle of Topping

Affected by the F6203 working face, the auxiliary gate roadway of the F6204 working face had more significant strata pressure, the surrounding rock on the side of the coal pillar was severely fractured, and a large-scale “net bag” phenomenon occurred. It can be inferred from the analysis of the technical conditions of auxiliary transportation along the gate roadway of F6204 working face: the caving of the hard roof in the goaf on the F6203 working face will lead to the formation of a long suspension roof difficult to cave outside the goaf on the side of the auxiliary gate roadway of the F6204 working face. The rotation deformation of the suspension roof beam and the overlying pressure of overhanging rock strata will greatly increase the supporting load of the auxiliary gate roadway of the F6204 working face, thereby making the serious fracture of the top of the auxiliary gate roadway of the F6204 working face, accompanied by the sound of “coal cannon” and the large amount of displacement on both sides and at the top and bottom.The suspension roof in the goaf of F6203 working face has a great impact on the coal pillars between F6203 and F6024 working faces and the pressure of F6204 auxiliary roadway. In the test, three fissures at 30°, 45°, and 60° were prefabricated from the angle of auxiliary gate roadway of the F6204 working face to the side of F6203 goaf. During the mining process, caving of the overlying rock strata occurred along the prefabricated fissures. The overlying strata structure after caving is shown in Figure16.Figure 16
Structural form of overburden of topping fracturing. (a) Topping fracturing at 30°, (b) topping fracturing at 45°, and (c) topping fracturing at 60°.
(a)(b)(c)It can be seen from Figure16 that as the mining proceeded from left to right in the model, the overlying rock strata formed Zone A along the 30° prefabricated fissures, and the rock strata in Zone A were gradually separated for caving; the overlying rock strata formed Zone B along the 45° prefabricated fissures, and the rock strata in Zone B were gradually separated; the overlying rock strata formed Zone C along the 60° prefabricated fissures, and the rock strata in Zone C were gradually separated.


### 5.1. Analysis of Stress Changes before and after Topping Fracturing at 30°

When the model was excavated to 98 cm, the rock strata in Region A were almost completely separated, and Region A tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure17 that after the overlying rock strata were cut along the 30° prefabricated fissure, the stresses of the A3 and A4 pressure cells decreased by 98% and 74%, respectively, and the A3 and A4 pressure cells were located at the surrounding rock in auxiliary gate roadway of the F6204 working face; the stresses of the A5 and A6 pressure cells increased by 7% and 13%, respectively. The A5 and A6 pressure cells were located in the unmined coal part on the right side of the F6204 auxiliary gate roadway. Through analysis, it can be found that the 30° prefabricated fissure cutting greatly dissipated the stress concentration degree of the surrounding rock of the auxiliary gate roadway of the F6204 working face, so that the stress concentration was transferred to the depth of the unmined coal on the right side of the auxiliary gate roadway, which greatly improved surrounding rock stress environment of F6204 auxiliary gate roadway and fundamentally optimized the structural mechanical environment in the roadway.Figure 17
Before and after topping fracturing at 30°.


### 5.2. Analysis of Stress Changes before and after Topping Fracturing at 45°

When the model was excavated to 104.8 cm, the rock strata in Region B were almost completely separated, and Region B tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure18 that after the topping of the overlying rock strata along the prefabricated fissure at 45°, the stress of the A4 pressure cell decreased by 49%, the stress of the A5 pressure cell decreased by 87%, and the stress of the A6 pressure cell increased by 6%. It can be found through analysis that the 45° prefabricated fissure topping greatly reduced the stress at the end of the auxiliary gate roadway of the F6204 working face, so that the stress is transferred to the depth of the unmined coal body.Figure 18
Before and after topping fracturing at 45°.


### 5.3. Analysis of Stress Changes before and after Topping Fracturing at 60°

When the model was excavated to 121.8 cm, the rock strata in Region C were almost completely separated, and Region C tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure19 that after the topping of the overlying rock strata along the 60° prefabricated fissure, the stress in the A5 pressure cell decreased by 63%, and the stress in the A6 pressure cell decreased by 6%. It can be found through analysis that the topping along 60° prefabricated fissure reduced the stress at the end of the auxiliary gate roadway of the F6204 working face. The degree of reduction was small, and it may be affected by the right boundary of the model.Figure 19
Before and after topping fracturing at 60°.


## 5.1. Analysis of Stress Changes before and after Topping Fracturing at 30°

When the model was excavated to 98 cm, the rock strata in Region A were almost completely separated, and Region A tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure17 that after the overlying rock strata were cut along the 30° prefabricated fissure, the stresses of the A3 and A4 pressure cells decreased by 98% and 74%, respectively, and the A3 and A4 pressure cells were located at the surrounding rock in auxiliary gate roadway of the F6204 working face; the stresses of the A5 and A6 pressure cells increased by 7% and 13%, respectively. The A5 and A6 pressure cells were located in the unmined coal part on the right side of the F6204 auxiliary gate roadway. Through analysis, it can be found that the 30° prefabricated fissure cutting greatly dissipated the stress concentration degree of the surrounding rock of the auxiliary gate roadway of the F6204 working face, so that the stress concentration was transferred to the depth of the unmined coal on the right side of the auxiliary gate roadway, which greatly improved surrounding rock stress environment of F6204 auxiliary gate roadway and fundamentally optimized the structural mechanical environment in the roadway.Figure 17
Before and after topping fracturing at 30°.


## 5.2. Analysis of Stress Changes before and after Topping Fracturing at 45°

When the model was excavated to 104.8 cm, the rock strata in Region B were almost completely separated, and Region B tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure18 that after the topping of the overlying rock strata along the prefabricated fissure at 45°, the stress of the A4 pressure cell decreased by 49%, the stress of the A5 pressure cell decreased by 87%, and the stress of the A6 pressure cell increased by 6%. It can be found through analysis that the 45° prefabricated fissure topping greatly reduced the stress at the end of the auxiliary gate roadway of the F6204 working face, so that the stress is transferred to the depth of the unmined coal body.Figure 18
Before and after topping fracturing at 45°.


## 5.3. Analysis of Stress Changes before and after Topping Fracturing at 60°

When the model was excavated to 121.8 cm, the rock strata in Region C were almost completely separated, and Region C tended to stabilize. The overhanging rock strata were cut along the precracked surface, filling the caving space, eliminating the suspension roof phenomenon, and reducing the load and rotation deformation force of the cantilever beam.It can be seen from Figure19 that after the topping of the overlying rock strata along the 60° prefabricated fissure, the stress in the A5 pressure cell decreased by 63%, and the stress in the A6 pressure cell decreased by 6%. It can be found through analysis that the topping along 60° prefabricated fissure reduced the stress at the end of the auxiliary gate roadway of the F6204 working face. The degree of reduction was small, and it may be affected by the right boundary of the model.Figure 19
Before and after topping fracturing at 60°.


## 6. Conclusion

(1)
The breaking distance of the immediate roof limit was about 13 m, and the fracture angle was about 63°; upon the caving of main roof for the first time, the overlying rock strata hardly had any displacement; when the crack zone first appeared, the “three zones” began to appear, and the main roof of the overlying rock strata had great displacement; when the crack zone appeared for the second and third times, synchronously coordinated subsidence of overlying rock strata began to occur. The goaf at the back was gradually compacted and stabilized. The angles of the three cracks in the rock stratum were almost the same, about 69°.(2)
Before the key strata fractured, the “plate” structure was used as the main bearing body of all the rock strata. The key strata fractured, and the crack penetrated to the surface, causing synchronously coordinated subsidence of upper rock strata. After the fracture, the masonry beam structure formed and continued to support the overlying rock strata.(3)
The rock strata at 7.8 m–22 m above the top coal had a great impact on the overlying strata after fracturing, which directly led to the synchronous fracturing of all overlying rock strata. This is in line with the characteristics of the key strata, so it was preliminarily determined as main key strata of the mine in the test area.(4)
Compared with 45° and 60° prefabricated fissures, it can be found that the 30° prefabricated fissure topping greatly dissipated the stress concentration of the surrounding rock of the auxiliary gate roadway at the F6204 working face, so that the stress was transferred to the depth of the unmined coal on the right side of the auxiliary gate roadway, which greatly improved surrounding rock stress environment of F6204 auxiliary gate roadway and fundamentally optimized the structural mechanical environment in the roadway.



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*Source: 8882374-2020-09-09.xml*