# Research on the Mechanism of the Influence of Earthquake-Induced Landslides on the Stress and Deformation Characteristics of Tunnel

Authors: Yufang Zhang; Hongyu Liu; Jian Li; Qidi Huang; Xianjie Ma; Wei Li
Journal: Advances in Materials Science and Engineering
 (2021)

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## Abstract

The landslide at the entrance of a railway tunnel in the southwestern region is relatively large, especially due to earthquakes and other factors, which are prone to severe disasters and threaten the safety of the tunnel. Through the long-term monitoring test and numerical calculation analysis on-site, the mechanism of the influence of the earthquake-induced landslide on the characteristics of the tunnel’s force and deformation is studied. The research results show that the earthquake caused the landslide thrust to increase. Because of the existence of the supporting structure, the landslide thrust was consumed, and the remaining part resulted in the compression failure of the tunnel. During the seismic monitoring period, the stress loss of the antislide pile anchor cable was 3.73% and the stress of the second lining of the tunnel increased by 25%. Under the condition of extreme seismic, shear failure occurred at the vault, bottom, and waist of the right-line tunnel, and the tensile strength of the right-line tunnel reached 93.8% of the limit value. For the weak links of the tunnel structure, dense reinforcement planting and strengthening of concrete strength should be adopted to enhance the safety of the tunnel structure. While designing the supporting structure, the rock-socketing depth of the antislide piles and the number of antislide piles should be considered a priority. The impact of the antislide pile spacing is relatively small.


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## Body

## 1. Introduction

With the development of the Chinese railway into mountainous areas, linear projects such as tunnels inevitably pass through poorly geological bodies due to the limited route selection. Especially, under the impact of the earthquake and other factors, geological disasters such as landslides and collapse are easy to be induced and seriously influence the safety of tunnels and roads [1–9].So far, many scholars have researched this topic and obtained a big achievement. Generally, the effect of the earthquake on the stability of the landslide is believed to be caused by the broken original stress balance inside the landslide, which leads to the loose of the rock body and the increase of overall landslide thrust. Because of the complexity of rock lithology and the mass structure, the dynamic response and failure mechanism of rock landslide are also complicated [10–15]. Furthermore, when the tunnel is constructed at the foot of the landslide, its failure mechanism will be more complicated under the effect of earthquake.The entrance is the only exposed part of the entire tunnel, where the geological condition is poor with shallow buried depth. Therefore, the tunnel entrance is a weak part under the effect of the earthquake [16–21]. Given this characteristic, most scholars mainly use numerical shaking table test to study the seismic performance of the tunnel entrance in the intense earthquake area, the deformation characteristics, and the failure mechanism of the corresponding surrounding rock [22–30].However, the current research on the effect of earthquake-induced landslides on the stress and deformation characteristics of the tunnel is mainly carried out through experiment and limits to the qualitative analysis, and there is nearly no quantitative research based on long-term on-site monitorization. In this paper, with the combined method of long-term monitorization and numerical calculation, the southwest of a railway tunnel is taken as the research subject to study the mechanism of the influence of the earthquake-induced landslide on the characteristics of the tunnel’s stress and deformation.


## 2. The Introduction of the Engineering Site

### 2.1. The Relative Spatial Position of the Landslide and the Tunnel

The tunnel is located in the Longmenshan structural belt in China; it is a giant nappe structural belt with a complex structure. The overall direction is NE45° NE. The tunnel crosses the mountain at an angle of about 60°; the terrain of the crossing section is steep and can be divided into Zhongshan landform and alpine landform, as shown in Figures1 and 2.Figure 1
The engineering geological plan of the landslide.Figure 2
Engineering geological section of the landslide.


### 2.2. Analysis of Characteristics of Landslide Disaster

The scale of the entrance of a railway tunnel is large, with a front edge of about 300 m wide, a slope length of 150–200 m, and the deepest part of the sliding surface is 23 m. The volume of the landslide is about 120 × 104 m3, and the principal axis direction is SE46°; the longitudinal slope is steep with the slope of 40°∼55°.According to the on-site survey, there are two main potential disasters.The material on the slope surface is relatively loose, and disturbances such as earthquakes may cause disasters such as shallow slips and collapses, as shown in Figure3.Figure 3
The photo of the landslide.There exist arc-shaped tensile cracks at the rear edge of the landslide body with a maximum width of more than 1m, which is judged to be the deformation caused by the previous earthquake. Although the landslide body is in a stable state during the survey, it may be deformed under the effect of the earthquake, as shown in Figure4.Figure 4
Arc-shaped tensile cracks.


### 2.3. The Design of the Tunnel Engineering

The left line of the tunnel has a total length of 19974.3 m; the right line has a total length of 20044.0 m. The tunnel crosses the mountain range at an angle of about 60°, and the direction of the mountain range is about NE40°. The entrance is opening designed, and the anchor cable antislide piles and anchor rod (cable) frame beam are applied to protect the landslide body.


### 2.4. Analysis and Evaluation of Landslide’s Influence on Tunnel Engineering

Based on the on-site investigation and analysis, the landslide is thought to have a significant effect on the tunnel project. Under the condition of the earthquake, the possibility of instability of the landslide body increases, and it will threaten the stability of the slope toe in the tunnel project. Therefore, it is urgent to carry out quantitative research on the influence of landslides on tunnel engineering deformation.


## 2.1. The Relative Spatial Position of the Landslide and the Tunnel

The tunnel is located in the Longmenshan structural belt in China; it is a giant nappe structural belt with a complex structure. The overall direction is NE45° NE. The tunnel crosses the mountain at an angle of about 60°; the terrain of the crossing section is steep and can be divided into Zhongshan landform and alpine landform, as shown in Figures1 and 2.Figure 1
The engineering geological plan of the landslide.Figure 2
Engineering geological section of the landslide.


## 2.2. Analysis of Characteristics of Landslide Disaster

The scale of the entrance of a railway tunnel is large, with a front edge of about 300 m wide, a slope length of 150–200 m, and the deepest part of the sliding surface is 23 m. The volume of the landslide is about 120 × 104 m3, and the principal axis direction is SE46°; the longitudinal slope is steep with the slope of 40°∼55°.According to the on-site survey, there are two main potential disasters.The material on the slope surface is relatively loose, and disturbances such as earthquakes may cause disasters such as shallow slips and collapses, as shown in Figure3.Figure 3
The photo of the landslide.There exist arc-shaped tensile cracks at the rear edge of the landslide body with a maximum width of more than 1m, which is judged to be the deformation caused by the previous earthquake. Although the landslide body is in a stable state during the survey, it may be deformed under the effect of the earthquake, as shown in Figure4.Figure 4
Arc-shaped tensile cracks.


## 2.3. The Design of the Tunnel Engineering

The left line of the tunnel has a total length of 19974.3 m; the right line has a total length of 20044.0 m. The tunnel crosses the mountain range at an angle of about 60°, and the direction of the mountain range is about NE40°. The entrance is opening designed, and the anchor cable antislide piles and anchor rod (cable) frame beam are applied to protect the landslide body.


## 2.4. Analysis and Evaluation of Landslide’s Influence on Tunnel Engineering

Based on the on-site investigation and analysis, the landslide is thought to have a significant effect on the tunnel project. Under the condition of the earthquake, the possibility of instability of the landslide body increases, and it will threaten the stability of the slope toe in the tunnel project. Therefore, it is urgent to carry out quantitative research on the influence of landslides on tunnel engineering deformation.


## 3. Long-Term Monitorization and Analysis of Landslide’s Influence on Tunnel Engineering

### 3.1. The Overall Scheme of the Experiment

#### 3.1.1. The Monitorization Scheme

The field monitored items include the displacement of the surface and deep part of the slope, stress of the anchor cable antislide pile, internal force of the initial support, and secondary lining of the tunnel.


#### 3.1.2. The Condition of the Earthquake

In recent years, there have been 5 earthquakes below M7.0 and 2 earthquakes above M7.0 that happened in the area where the tunnel is located. They were the Wenchuan M8.8 earthquake in Wenchuan County, Aba Prefecture, Sichuan Province, on May 12, 2008, and M7.0 earthquake in Jiuzhaigou County, Aba Prefecture, Sichuan Province on August 8, 2017. The earthquake intensity of the area where the tunnel is located is 6.0.


### 3.2. The Analysis of the Actual Earthquake Condition

As shown in Figure5, during the earthquake, the different points on the landslide surface show the same displacement trend and maintain the original deformation characteristics. The surface displacements are both significantly reduced near the 14# antislide pile and the 27# antislide pile, indicating that the slope can still remain relatively stable even under the effect of the 6.0 earthquake.Figure 5
The displacement curve of landslide surface during the earthquake.As shown in Figure6, because the slope was disturbed by the earthquake, the antislide pile produced a maximum displacement of 3.7 mm; this relatively small displacement indicates that the antislide pile has a good supporting effect and can guarantee the landslide body in a stable state under the condition of 6.0 earthquake.Figure 6
14# monitoring curve of the deep displacement of antislide pile.As shown in Figure7, affected by the earthquake, the stress on the antislide pile generally shows a gradually increasing trend, but the value is relatively small, and the force on the antislide pile has not changed significantly, indicating that it has a good retaining effect and is in a stable state.Figure 7
The curve of the body stress of 14# antislide pile.As shown in Figure8, due to the earthquake, the stress of the anchor cable of each antislide pile was reduced by about 11 kN from August 6 to August 23, 2017, with an average value of 3.73%; this indicates that the earthquake leads the rock mass to loos and reduces the stress of the anchor cable, but the stress loss of the anchor cable is relatively small, and the slope maintains stable.Figure 8
Time-stress monitoring curve of anchor cable dynamometer.As shown in Figure9, before the earthquake, the stress of the secondary lining of the tunnel decreased and gradually stabilized. However, due to the impact of the earthquake, as the tunnel stress continues to rise, the stress of the secondary lining of the tunnel eventually increased by more than 25% and finally stabilized. It shows that the safety of the tunnel is affected by the earthquake.Figure 9
Time-stress monitoring curve of the second lining of the tunnel.


## 3.1. The Overall Scheme of the Experiment

### 3.1.1. The Monitorization Scheme

The field monitored items include the displacement of the surface and deep part of the slope, stress of the anchor cable antislide pile, internal force of the initial support, and secondary lining of the tunnel.


### 3.1.2. The Condition of the Earthquake

In recent years, there have been 5 earthquakes below M7.0 and 2 earthquakes above M7.0 that happened in the area where the tunnel is located. They were the Wenchuan M8.8 earthquake in Wenchuan County, Aba Prefecture, Sichuan Province, on May 12, 2008, and M7.0 earthquake in Jiuzhaigou County, Aba Prefecture, Sichuan Province on August 8, 2017. The earthquake intensity of the area where the tunnel is located is 6.0.


## 3.1.1. The Monitorization Scheme

The field monitored items include the displacement of the surface and deep part of the slope, stress of the anchor cable antislide pile, internal force of the initial support, and secondary lining of the tunnel.


## 3.1.2. The Condition of the Earthquake

In recent years, there have been 5 earthquakes below M7.0 and 2 earthquakes above M7.0 that happened in the area where the tunnel is located. They were the Wenchuan M8.8 earthquake in Wenchuan County, Aba Prefecture, Sichuan Province, on May 12, 2008, and M7.0 earthquake in Jiuzhaigou County, Aba Prefecture, Sichuan Province on August 8, 2017. The earthquake intensity of the area where the tunnel is located is 6.0.


## 3.2. The Analysis of the Actual Earthquake Condition

As shown in Figure5, during the earthquake, the different points on the landslide surface show the same displacement trend and maintain the original deformation characteristics. The surface displacements are both significantly reduced near the 14# antislide pile and the 27# antislide pile, indicating that the slope can still remain relatively stable even under the effect of the 6.0 earthquake.Figure 5
The displacement curve of landslide surface during the earthquake.As shown in Figure6, because the slope was disturbed by the earthquake, the antislide pile produced a maximum displacement of 3.7 mm; this relatively small displacement indicates that the antislide pile has a good supporting effect and can guarantee the landslide body in a stable state under the condition of 6.0 earthquake.Figure 6
14# monitoring curve of the deep displacement of antislide pile.As shown in Figure7, affected by the earthquake, the stress on the antislide pile generally shows a gradually increasing trend, but the value is relatively small, and the force on the antislide pile has not changed significantly, indicating that it has a good retaining effect and is in a stable state.Figure 7
The curve of the body stress of 14# antislide pile.As shown in Figure8, due to the earthquake, the stress of the anchor cable of each antislide pile was reduced by about 11 kN from August 6 to August 23, 2017, with an average value of 3.73%; this indicates that the earthquake leads the rock mass to loos and reduces the stress of the anchor cable, but the stress loss of the anchor cable is relatively small, and the slope maintains stable.Figure 8
Time-stress monitoring curve of anchor cable dynamometer.As shown in Figure9, before the earthquake, the stress of the secondary lining of the tunnel decreased and gradually stabilized. However, due to the impact of the earthquake, as the tunnel stress continues to rise, the stress of the secondary lining of the tunnel eventually increased by more than 25% and finally stabilized. It shows that the safety of the tunnel is affected by the earthquake.Figure 9
Time-stress monitoring curve of the second lining of the tunnel.


## 4. Numerical Analysis of the Influence of Landslide on Tunnel Engineering

### 4.1. The Design of the Numerical Calculation

#### 4.1.1. Numerical Model

FLAC3D software is adopted for numerical calculation and analysis. The Moore–Coulomb constitutive is applied to the soil, the antislide pile is simulated using the solid element, the anchor rod adopts the pile element, and the anchor cable adopts the cable element; besides, the normal displacement of the model is constrained and the bottom is fixed, while the slope surface is free, as shown in Figure10.Figure 10
Numerical calculation model.


#### 4.1.2. Numerical Calculation Inversion Analysis

According to the geological conditions of the tunnel site, the initial stratum physical and mechanical parameters were determined, and after the earthquake, the 14# antislide pile deformed by 3.7 mm, and the stratum physical and mechanical parameters were inverted using this as a standard. The difference between the inversion result of the numerical calculation and the field measured data is 1 mm. Therefore, it is considered that the value of the formation parameter is reasonable.The inversion result of numerical calculation is shown in Figure11. The physical and mechanical parameters of the formation are shown in Table 1.Figure 11
Numerical calculation inversion results.Table 1
Physical and mechanical parameters of landslide.
MaterialsGravity (kN/m³)Elastic modulus (MPa)Poisson’s ratioCohesive force (kPa)Friction angle (°)Silty clay19400.22520Gravilly soil 1202000.23028Gravilly soil 2202500.23030Limestone27250000.25100055


#### 4.1.3. The Earthquake Condition

The quasi-static method is used to conduct seismic analysis of the slope, and the peak acceleration of the site vibration in the area, where the worksite is located (Gao-chuan Township), is 0.2 g. The basic accelerationα of the horizontal earthquake is taken as a rare earthquake with a fortification intensity of 8, and the comprehensive horizontal earthquake coefficient αw is taken as 0.05.


### 4.2. Numerical Analysis of Extreme Earthquake Condition

As shown in Figures12–14, under the condition of 8-degree intensity seismic, the slope deformation characteristics are similar to those under extreme rainfall condition. There are 3 obvious deformation areas, the maximum deformation of the soil between the two rows of antislide piles is 229.75 mm, the maximum deformation of the antislide pile is 53.37 mm, the deformation of the right-line tunnel is large, with a maximum value of 14.53 mm, and the tunnel on the left does not deform.Figure 12
Cloud diagram of horizontal displacement of the slope.Figure 13
The cloud map of horizontal displacement of the tunnel.Figure 14
The displacement curve of the landslide body at different depths.As shown in Figure15, the stress characteristics of the tunnel are also similar to those under extreme rainfall conditions. Affected by tensile stress at the vault, the maximum tensile stress of the left-line tunnel is 0.70 MPa, which reaches 29.2% of the ultimate tensile strength of concrete and does not cause significant damage to the left-line tunnel structure. The vault, arch bottom, and arch waist of the right-line tunnel are obviously affected by tensile stress; the maximum tensile stress is 2.25 MPa, which reaches 93.8% of the ultimate tensile strength of concrete and seriously affects the structural safety of the right-line tunnel.Figure 15
Cloud diagram of the maximum principal stress of the tunnel.As shown in Figure16, the failure characteristics of the plastic zone are also similar to those under extreme rainfall condition. There is no plastic failure in the left tunnel, while, in the right tunnel, there appears obvious plastic failure mainly manifested by the shear failure at the arch top, arch bottom, and arch waist.Figure 16
The distribution cloud map of the tunnel plastic area.


### 4.3. Sensitivity Analysis of Antislide Piles

#### 4.3.1. Sensitivity Analysis of the Length of the Antislide Pile

With the numerical analysis, the pile length of antislide pile is set as 56 m (cantilever end/rock-socketed end = 1 : 1), 51 m (cantilever end/rock-socketed end = 1.2 : 1), and 42 m (cantilever end/rock-socketed end = 2 : 1), respectively, to carry out calculation.As shown in Figure17, with the increase of the length of the antislide pile, the plastic zone of the right-line tunnel gradually decreases. When the pile length is 42 m, the arch waist and upper arch of the right line tunnel are more severely affected by the shear stress, and the arch bottom is subjected to the shear stress and tensile stress simultaneously. When the pile length is 47 m and 56 m, there is no significant change in the plastic zone of the tunnel, and the right-line tunnel is mainly affected by the shear stress on the right waist and bottom of the arch; however, compared to the pile with the length of 42 m, the plastic zone is significantly reduced.Figure 17
Cloud map of the plastic zone of the right-line tunnel with different lengths of the pile.As shown in Figures18–20, when the pile length is 42 m, the maximum displacement of the slope is 390 mm, and the maximum displacement of the tunnel top of the right line is 20.99 mm. When the pile length is 51 m and 56 m, the maximum displacement of the slope is 229 mm and 228 mm, and the tunnel top has an obvious displacement of 14.53 mm and 14.57 mm. Compared with the 42 m pile length, the slope displacement is reduced by 41%, and the tunnel displacement is reduced by 31%. As the length of the antislide pile increases, the displacement of the slope and tunnel also decreases; however, when the antislide pile is inserted deep enough, the displacement no longer changes significantly.Figure 18
Displacement cloud map of 42 m long pile slope and tunnel.Figure 19
Displacement cloud diagram of 51 m pile long slope and tunnel.Figure 20
The cloud map of 56 m long pile slope and tunnel displacement.


#### 4.3.2. Sensitivity Analysis of the Number of Antislide Piles

One row of antislide piles and two rows of antislide piles are set up to calculate and carry out the numerical analysis.As shown in Figure21, after installing one row of antislide piles, the right-line tunnel is seriously damaged; the arch top is mainly affected by shear stress, and both the arch waist and the arch bottom are affected by shear stress and tensile stress. When two rows of antislide piles are installed, the right-line tunnel is mainly affected by shear stress and tensile stress on the left-side arch waist and arch bottom. The installation of two rows of antislide piles can effectively reduce the remaining landslide thrust and reduce the damage caused by the landslide thrust.Figure 21
Cloud map of the plastic zone of the right-line tunnel under different numbers of antislide piles.As shown in Figures22 and 23, for the situation of one row of antislide piles, the maximum slope displacement is 1895 mm, and the tunnel top displacement reaches 25.94 mm. When two rows of antislide piles are installed, the slope displacement is up to 229 mm, and the tunnel top displacement reaches 14.53 mm, the slope displacement decreases by 88%, and the tunnel displacement is reduced by 44%. It is shown that two rows of antislide piles can effectively reduce the influence of landslide thrust on the tunnel.Figure 22
Displacement cloud map of one rows of the slope and the tunnel.Figure 23
Displacement cloud map of two rows of the slope and the tunnel.


#### 4.3.3. Sensitivity Analysis of Antislide Pile Spacing

The centre spacing of antislide piles is set as 4 m and 8 m, respectively, to carry out the numerical analysis.As shown in Figure24, when the pile spacing is 4 m, the tunnel is mainly subjected to shear stress on the arch waist and arch bottom, and the vault is affected by shear stress and tensile stress; when the pile spacing is 8 m, the tunnel plastic zone is mainly subjected to shear stress on the right side of the arch waist and arch bottom and the vault is affected by the small range of shear stress and tensile stress.Figure 24
Cloud map of the plastic zone of the right-line tunnel with different pile spacing.As shown in Figures25 and 26, when the pile spacing is 8 m, the maximum displacement of the slope is 341 mm, and the maximum displacement of the tunnel roof is 18 mm. When the pile spacing is 4 m, the maximum displacement of the slope is 229 mm, and the maximum displacement of the tunnel roof is 14.53 mm, the slope displacement decreased by 32%, and the tunnel displacement decreased by 19%. Reducing the pile spacing can indeed reduce the slope and tunnel displacement, but the impact is quite small.Figure 25
Displacement cloud diagram of the slope and the tunnel with 4 m pile spacing.Figure 26
Displacement cloud diagram of the slope and the tunnel with 8 m pile spacing.


## 4.1. The Design of the Numerical Calculation

### 4.1.1. Numerical Model

FLAC3D software is adopted for numerical calculation and analysis. The Moore–Coulomb constitutive is applied to the soil, the antislide pile is simulated using the solid element, the anchor rod adopts the pile element, and the anchor cable adopts the cable element; besides, the normal displacement of the model is constrained and the bottom is fixed, while the slope surface is free, as shown in Figure10.Figure 10
Numerical calculation model.


### 4.1.2. Numerical Calculation Inversion Analysis

According to the geological conditions of the tunnel site, the initial stratum physical and mechanical parameters were determined, and after the earthquake, the 14# antislide pile deformed by 3.7 mm, and the stratum physical and mechanical parameters were inverted using this as a standard. The difference between the inversion result of the numerical calculation and the field measured data is 1 mm. Therefore, it is considered that the value of the formation parameter is reasonable.The inversion result of numerical calculation is shown in Figure11. The physical and mechanical parameters of the formation are shown in Table 1.Figure 11
Numerical calculation inversion results.Table 1
Physical and mechanical parameters of landslide.
MaterialsGravity (kN/m³)Elastic modulus (MPa)Poisson’s ratioCohesive force (kPa)Friction angle (°)Silty clay19400.22520Gravilly soil 1202000.23028Gravilly soil 2202500.23030Limestone27250000.25100055


### 4.1.3. The Earthquake Condition

The quasi-static method is used to conduct seismic analysis of the slope, and the peak acceleration of the site vibration in the area, where the worksite is located (Gao-chuan Township), is 0.2 g. The basic accelerationα of the horizontal earthquake is taken as a rare earthquake with a fortification intensity of 8, and the comprehensive horizontal earthquake coefficient αw is taken as 0.05.


## 4.1.1. Numerical Model

FLAC3D software is adopted for numerical calculation and analysis. The Moore–Coulomb constitutive is applied to the soil, the antislide pile is simulated using the solid element, the anchor rod adopts the pile element, and the anchor cable adopts the cable element; besides, the normal displacement of the model is constrained and the bottom is fixed, while the slope surface is free, as shown in Figure10.Figure 10
Numerical calculation model.


## 4.1.2. Numerical Calculation Inversion Analysis

According to the geological conditions of the tunnel site, the initial stratum physical and mechanical parameters were determined, and after the earthquake, the 14# antislide pile deformed by 3.7 mm, and the stratum physical and mechanical parameters were inverted using this as a standard. The difference between the inversion result of the numerical calculation and the field measured data is 1 mm. Therefore, it is considered that the value of the formation parameter is reasonable.The inversion result of numerical calculation is shown in Figure11. The physical and mechanical parameters of the formation are shown in Table 1.Figure 11
Numerical calculation inversion results.Table 1
Physical and mechanical parameters of landslide.
MaterialsGravity (kN/m³)Elastic modulus (MPa)Poisson’s ratioCohesive force (kPa)Friction angle (°)Silty clay19400.22520Gravilly soil 1202000.23028Gravilly soil 2202500.23030Limestone27250000.25100055


## 4.1.3. The Earthquake Condition

The quasi-static method is used to conduct seismic analysis of the slope, and the peak acceleration of the site vibration in the area, where the worksite is located (Gao-chuan Township), is 0.2 g. The basic accelerationα of the horizontal earthquake is taken as a rare earthquake with a fortification intensity of 8, and the comprehensive horizontal earthquake coefficient αw is taken as 0.05.


## 4.2. Numerical Analysis of Extreme Earthquake Condition

As shown in Figures12–14, under the condition of 8-degree intensity seismic, the slope deformation characteristics are similar to those under extreme rainfall condition. There are 3 obvious deformation areas, the maximum deformation of the soil between the two rows of antislide piles is 229.75 mm, the maximum deformation of the antislide pile is 53.37 mm, the deformation of the right-line tunnel is large, with a maximum value of 14.53 mm, and the tunnel on the left does not deform.Figure 12
Cloud diagram of horizontal displacement of the slope.Figure 13
The cloud map of horizontal displacement of the tunnel.Figure 14
The displacement curve of the landslide body at different depths.As shown in Figure15, the stress characteristics of the tunnel are also similar to those under extreme rainfall conditions. Affected by tensile stress at the vault, the maximum tensile stress of the left-line tunnel is 0.70 MPa, which reaches 29.2% of the ultimate tensile strength of concrete and does not cause significant damage to the left-line tunnel structure. The vault, arch bottom, and arch waist of the right-line tunnel are obviously affected by tensile stress; the maximum tensile stress is 2.25 MPa, which reaches 93.8% of the ultimate tensile strength of concrete and seriously affects the structural safety of the right-line tunnel.Figure 15
Cloud diagram of the maximum principal stress of the tunnel.As shown in Figure16, the failure characteristics of the plastic zone are also similar to those under extreme rainfall condition. There is no plastic failure in the left tunnel, while, in the right tunnel, there appears obvious plastic failure mainly manifested by the shear failure at the arch top, arch bottom, and arch waist.Figure 16
The distribution cloud map of the tunnel plastic area.


## 4.3. Sensitivity Analysis of Antislide Piles

### 4.3.1. Sensitivity Analysis of the Length of the Antislide Pile

With the numerical analysis, the pile length of antislide pile is set as 56 m (cantilever end/rock-socketed end = 1 : 1), 51 m (cantilever end/rock-socketed end = 1.2 : 1), and 42 m (cantilever end/rock-socketed end = 2 : 1), respectively, to carry out calculation.As shown in Figure17, with the increase of the length of the antislide pile, the plastic zone of the right-line tunnel gradually decreases. When the pile length is 42 m, the arch waist and upper arch of the right line tunnel are more severely affected by the shear stress, and the arch bottom is subjected to the shear stress and tensile stress simultaneously. When the pile length is 47 m and 56 m, there is no significant change in the plastic zone of the tunnel, and the right-line tunnel is mainly affected by the shear stress on the right waist and bottom of the arch; however, compared to the pile with the length of 42 m, the plastic zone is significantly reduced.Figure 17
Cloud map of the plastic zone of the right-line tunnel with different lengths of the pile.As shown in Figures18–20, when the pile length is 42 m, the maximum displacement of the slope is 390 mm, and the maximum displacement of the tunnel top of the right line is 20.99 mm. When the pile length is 51 m and 56 m, the maximum displacement of the slope is 229 mm and 228 mm, and the tunnel top has an obvious displacement of 14.53 mm and 14.57 mm. Compared with the 42 m pile length, the slope displacement is reduced by 41%, and the tunnel displacement is reduced by 31%. As the length of the antislide pile increases, the displacement of the slope and tunnel also decreases; however, when the antislide pile is inserted deep enough, the displacement no longer changes significantly.Figure 18
Displacement cloud map of 42 m long pile slope and tunnel.Figure 19
Displacement cloud diagram of 51 m pile long slope and tunnel.Figure 20
The cloud map of 56 m long pile slope and tunnel displacement.


### 4.3.2. Sensitivity Analysis of the Number of Antislide Piles

One row of antislide piles and two rows of antislide piles are set up to calculate and carry out the numerical analysis.As shown in Figure21, after installing one row of antislide piles, the right-line tunnel is seriously damaged; the arch top is mainly affected by shear stress, and both the arch waist and the arch bottom are affected by shear stress and tensile stress. When two rows of antislide piles are installed, the right-line tunnel is mainly affected by shear stress and tensile stress on the left-side arch waist and arch bottom. The installation of two rows of antislide piles can effectively reduce the remaining landslide thrust and reduce the damage caused by the landslide thrust.Figure 21
Cloud map of the plastic zone of the right-line tunnel under different numbers of antislide piles.As shown in Figures22 and 23, for the situation of one row of antislide piles, the maximum slope displacement is 1895 mm, and the tunnel top displacement reaches 25.94 mm. When two rows of antislide piles are installed, the slope displacement is up to 229 mm, and the tunnel top displacement reaches 14.53 mm, the slope displacement decreases by 88%, and the tunnel displacement is reduced by 44%. It is shown that two rows of antislide piles can effectively reduce the influence of landslide thrust on the tunnel.Figure 22
Displacement cloud map of one rows of the slope and the tunnel.Figure 23
Displacement cloud map of two rows of the slope and the tunnel.


### 4.3.3. Sensitivity Analysis of Antislide Pile Spacing

The centre spacing of antislide piles is set as 4 m and 8 m, respectively, to carry out the numerical analysis.As shown in Figure24, when the pile spacing is 4 m, the tunnel is mainly subjected to shear stress on the arch waist and arch bottom, and the vault is affected by shear stress and tensile stress; when the pile spacing is 8 m, the tunnel plastic zone is mainly subjected to shear stress on the right side of the arch waist and arch bottom and the vault is affected by the small range of shear stress and tensile stress.Figure 24
Cloud map of the plastic zone of the right-line tunnel with different pile spacing.As shown in Figures25 and 26, when the pile spacing is 8 m, the maximum displacement of the slope is 341 mm, and the maximum displacement of the tunnel roof is 18 mm. When the pile spacing is 4 m, the maximum displacement of the slope is 229 mm, and the maximum displacement of the tunnel roof is 14.53 mm, the slope displacement decreased by 32%, and the tunnel displacement decreased by 19%. Reducing the pile spacing can indeed reduce the slope and tunnel displacement, but the impact is quite small.Figure 25
Displacement cloud diagram of the slope and the tunnel with 4 m pile spacing.Figure 26
Displacement cloud diagram of the slope and the tunnel with 8 m pile spacing.


## 4.3.1. Sensitivity Analysis of the Length of the Antislide Pile

With the numerical analysis, the pile length of antislide pile is set as 56 m (cantilever end/rock-socketed end = 1 : 1), 51 m (cantilever end/rock-socketed end = 1.2 : 1), and 42 m (cantilever end/rock-socketed end = 2 : 1), respectively, to carry out calculation.As shown in Figure17, with the increase of the length of the antislide pile, the plastic zone of the right-line tunnel gradually decreases. When the pile length is 42 m, the arch waist and upper arch of the right line tunnel are more severely affected by the shear stress, and the arch bottom is subjected to the shear stress and tensile stress simultaneously. When the pile length is 47 m and 56 m, there is no significant change in the plastic zone of the tunnel, and the right-line tunnel is mainly affected by the shear stress on the right waist and bottom of the arch; however, compared to the pile with the length of 42 m, the plastic zone is significantly reduced.Figure 17
Cloud map of the plastic zone of the right-line tunnel with different lengths of the pile.As shown in Figures18–20, when the pile length is 42 m, the maximum displacement of the slope is 390 mm, and the maximum displacement of the tunnel top of the right line is 20.99 mm. When the pile length is 51 m and 56 m, the maximum displacement of the slope is 229 mm and 228 mm, and the tunnel top has an obvious displacement of 14.53 mm and 14.57 mm. Compared with the 42 m pile length, the slope displacement is reduced by 41%, and the tunnel displacement is reduced by 31%. As the length of the antislide pile increases, the displacement of the slope and tunnel also decreases; however, when the antislide pile is inserted deep enough, the displacement no longer changes significantly.Figure 18
Displacement cloud map of 42 m long pile slope and tunnel.Figure 19
Displacement cloud diagram of 51 m pile long slope and tunnel.Figure 20
The cloud map of 56 m long pile slope and tunnel displacement.


## 4.3.2. Sensitivity Analysis of the Number of Antislide Piles

One row of antislide piles and two rows of antislide piles are set up to calculate and carry out the numerical analysis.As shown in Figure21, after installing one row of antislide piles, the right-line tunnel is seriously damaged; the arch top is mainly affected by shear stress, and both the arch waist and the arch bottom are affected by shear stress and tensile stress. When two rows of antislide piles are installed, the right-line tunnel is mainly affected by shear stress and tensile stress on the left-side arch waist and arch bottom. The installation of two rows of antislide piles can effectively reduce the remaining landslide thrust and reduce the damage caused by the landslide thrust.Figure 21
Cloud map of the plastic zone of the right-line tunnel under different numbers of antislide piles.As shown in Figures22 and 23, for the situation of one row of antislide piles, the maximum slope displacement is 1895 mm, and the tunnel top displacement reaches 25.94 mm. When two rows of antislide piles are installed, the slope displacement is up to 229 mm, and the tunnel top displacement reaches 14.53 mm, the slope displacement decreases by 88%, and the tunnel displacement is reduced by 44%. It is shown that two rows of antislide piles can effectively reduce the influence of landslide thrust on the tunnel.Figure 22
Displacement cloud map of one rows of the slope and the tunnel.Figure 23
Displacement cloud map of two rows of the slope and the tunnel.


## 4.3.3. Sensitivity Analysis of Antislide Pile Spacing

The centre spacing of antislide piles is set as 4 m and 8 m, respectively, to carry out the numerical analysis.As shown in Figure24, when the pile spacing is 4 m, the tunnel is mainly subjected to shear stress on the arch waist and arch bottom, and the vault is affected by shear stress and tensile stress; when the pile spacing is 8 m, the tunnel plastic zone is mainly subjected to shear stress on the right side of the arch waist and arch bottom and the vault is affected by the small range of shear stress and tensile stress.Figure 24
Cloud map of the plastic zone of the right-line tunnel with different pile spacing.As shown in Figures25 and 26, when the pile spacing is 8 m, the maximum displacement of the slope is 341 mm, and the maximum displacement of the tunnel roof is 18 mm. When the pile spacing is 4 m, the maximum displacement of the slope is 229 mm, and the maximum displacement of the tunnel roof is 14.53 mm, the slope displacement decreased by 32%, and the tunnel displacement decreased by 19%. Reducing the pile spacing can indeed reduce the slope and tunnel displacement, but the impact is quite small.Figure 25
Displacement cloud diagram of the slope and the tunnel with 4 m pile spacing.Figure 26
Displacement cloud diagram of the slope and the tunnel with 8 m pile spacing.


## 5. Conclusions

In this paper, the southwest of a railway tunnel project is set as the research subject and is carried out field monitorization and numerical to analyze the mechanism of the influence of the earthquake-induced landslide on the deformation characteristics of the tunnel.(1)
The earthquake can cause the rock and soil inside the landslide body to loos and break the original mechanical balance inside the slope body; then, the stress is redistributed, and the landslide thrust is increased. Under the function of the supporting structure, the remaining landslide thrust is applied to the tunnel, which eventually leads the tunnel failure.(2)
During the on-site monitorization, under the action of a magnitude 6.0 earthquake, the stress of the anchor cable of the antislide pile and the second lining of the tunnel both change. The stress of the anchor cable decreases by 3.73%, and the stress of the second lining of the tunnel increases by 25%.(3)
Under the condition of extreme seismic, shear failure occurs at the vault, bottom, and waist of the right-line tunnel located at the junction of soil and rock, and the tensile strength reaches 93.8% of the limit value. Given the weak links of the tunnel structure in the shear and tension failure, the safety of the structure is reinforced by increasing the thickness of the concrete, enhancing the strength of the concrete and increasing the density of the planting bars.(4)
For tunnels constructed under high and steep slopes, the design of antislide piles should consider the forces and deformations of the slope toe tunnel. Antislide piles must be inserted to a certain depth of rock socket; increasing the number of antislide piles can effectively control landslide and tunnel deformation. Changing the spacing of antislide piles can indeed enhance the stability of the landslide and the tunnel, but compared with changing the length and number of rows of antislide piles, the effect of pile spacing is relatively small.



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*Source: 3643100-2021-11-15.xml*