# Analysis of the Dynamic Behavior of Multi-Layered Soil Grounds
## 3 Results and Discussion
### Acceleration-Time History  
Due to the very small time intervals of the acceleration data, a random selection of portions of the acceleration data was compared in order to clearly identify differences between the experimental and numerical analysis data. Figures 7-11 present partial acceleration-time history graphs of the artificial seismic waves from the 1 g shaking-table experiments and numerical analysis. Figure 8: Partial acceleration–time history graphs for Case 1. (**a**) DEEPSOIL results; (**b**) experimental results; (**c**) ABAQUS results; (**d**) DEEPSOIL, experimental, and ABAQUS results (ACC 3). Figure 9: Partial acceleration–time history graphs for Case 2. (**a**) DEEPSOIL results; (**b**) experimental results; (**c**) ABAQUS results; (**d**) DEEPSOIL, experimental, and ABAQUS results (ACC 3). Figure 11: Partial acceleration–time history graphs for Case 4. (**a**) DEEPSOIL results; (**b**) experimental results; (**c**) ABAQUS results; (**d**) DEEPSOIL, experimental, and ABAQUS results (ACC 6). Figure 10: Partial acceleration–time history graphs for Case 3. (**a**) DEEPSOIL results; (**b**) experimental results; (**c**) ABAQUS results; (**d**) DEEPSOIL, experimental, and ABAQUS results (ACC 4). Firstly, Figure 7 presents the experimental results from the \(1\) g shaking-table tests conducted across the four cases. The results indicate minimal differences among several points at the top of the experimental cases, with overlapping acceleration-time history graphs. This strongly indicates that the laminar shear box can effectively neglect boundary effects. Similar results are also demonstrated in the numerical analysis. However, for the sake of brevity, only the experimental data are presented here. Figure 8 shows the partial acceleration-time history graphs for Case 1 (silica sand). The ABAQUS results exhibit the highest acceleration amplification, followed by the experimental results, and DEEPSOIL shows the smallest amplification. Overall, the results from the numerical analysis closely match those from the experiments. Figure 9 shows the partial acceleration-time history graphs for Case 2 (weathered soil A). The ABAQUS results exhibit the highest acceleration amplification, followed by DEEPSOIL, and the experimental results show the smallest amplification. Moreover, the amplification in weathered soil is greater than that in silica sand. Figure 10 shows the partial acceleration-time history graphs for Case 3 (silica sand and weathered soil A). It is observed that the acceleration amplification in weathered soil is greater, with the distance between ACC 3 and ACC 4 being smaller than that between ACC 1 and ACC 2. According to Figure 10d, ABAQUS and DEEPSOIL show similar levels of acceleration amplification, with the experimental results exhibiting the smallest amplification. The DEEPSOIL and ABAQUS results are closer to the experimental results. Figure 11 shows the partial acceleration-time history graphs for Case 4 (silica sand and weathered soil A, B). The ABAQUS results are closer to the experimental results. Additionally, it is observed that the acceleration amplification in silica sand is smaller, with the distance between ACC 1, 2, 3, and 4 being smaller than that between ACC 5 and ACC 6. Overall, combining the results from the four cases, the laminar shear box demonstrates the ability to neglect boundary effects, providing strong support for its practical application. According to the results from our numerical analysis and experiments, there is an amplification effect in acceleration from the bottom to the top of the seismic wave. Both the numerical analysis and experimental data from Figures 8, 9, 10 and 11a-c demonstrate amplification effects in acceleration from the bottom to the surface. It can be observed that seismic waves typically amplify acceleration more rapidly in denser weathered soil compared to less dense silica sand. This is because denser weathered soil usually possesses higher compaction and strength, allowing for more efficient propagation of seismic waves.