## 3 Results and Discussion  
### The Impact of the Number of Exposed Muddy Interlayers on the Slope Surface  
The horizontal displacement clouds (Figure 2) of the focal area of the bedding cataclastic rock slope containing multi-muddy interlayers showed the following five features: (1) The horizontal displacement of the slope was mainly negative, and only the local area was positive; (2) The absolute value of horizontal displacement near the foot of the slope was larger than that of the shoulder of the slope; (3) The absolute value of horizontal displacement of each cataclastic rock layer between the interlayer decreased gradually from the slope face to the top of the slope; (4) There were abrupt changes in the horizontal displacement clouds of the rock bodies on the upper and lower sides of the muddy interlayer, and abrupt changes from the slope face to the top of the slope became weaker and weaker, indicating that the rock bodies on both sides produced relative slip along the interlayer, and the relative slip from the proslope end of the interlayer to the top of the slope, and from the toe of the slope to the shoulder of the slope, became smaller and smaller; and (5) The maximum value of the absolute value of the horizontal displacement of the slope did not necessarily appear at the toe of the slope. When \(n\) was one or two layers, it appeared at the toe of the slope, and when \(n\) was more than two layers, it appeared at the position of the intersection of the second layer of the interlayer layer and the slope surface. The above analysis showed that the bedding cataclastic rock slope containing multi-muddy interlayers underwent multi-layered relative slip along the interlayer, and the relative slip gradually decreased from the toe to the top of the slope. The grid deformation map (Figure 3) showed that the muddy interlayers of each computational model showed relative slip, and the relative slip was greater for the muddy interlayers near the toe of the slope. As the number of layers of muddy interlayers increased, the thickness of the cataclastic rock layer became thinner and the slope was damaged by \"sliding-bending-shearing\". A similar computational model by [PERSON] et al. [12] did not show \"sliding-bending-shearing\" damage. This was because, in their calculation model, the elastic modulus of the surrounding rock of the weak interlayer was large (999 MPa) and the rock layer of the surrounding rock was thick, so its flexural stiffness was large and it was not easy to bend and deform under the action of extrusion. However, the surrounding rock in this study was fractured rock, whose elastic modulus was small, and the thickness of the cataclastic rock layer became thinner as the number of interlayer layers increased, and its flexural stiffness was small, and it was easy to bend and deform. On the whole, the destabilization mode of the upper part of the slope was \"traction-sliding\", the destabilization mode of the rock near the toe of the slope was \"sliding-bending-shearing\", and the destabilization mode of the bedding cataclastic rock slope containing multi-muddy interlayers was \"traction-sliding-bending-shearing\". Figure 4 shows the relationship among the safety factor of the slope, the maximum horizontal displacement, and the number of layers of muddy interlayers exposed on the slope. When there was no interlayer, the maximum horizontal displacement of the slope was \(-4.886\times 10^{-5}\) mm; when there was only one layer of interlayer at the toe of the slope, the maximum horizontal displacement increased to \(-5.276\) mm; when there was  
Figure 3: Grid deformation diagram of the focal area of bedding cataclastic rock slope containing multi-muddy interlayers. Figure 2: Horizontal displacement clouds of key areas of bedding cataclastic rock slope containing multi-muddy interlayers with different layers. two layers of interlayer, the maximum horizontal displacement increased to \(-7.776\) mm; and when there was four layers of interlayer, the maximum horizontal displacement decreased to \(-5.137\) mm.