Slope failure is a natural hazard occurring around the world and can lead to severe damage of properties and loss of lives. Even in stabilized slopes, changes in external loads, such as those from earthquakes, may cause slope failure and collapse, generating social impacts and, eventually causing loss of lives. In this research, the slope stability changes caused by the Gyeongju earthquake, which occurred on 12 September 2016, are numerically analyzed in a slope located in the Gyeongju area, South Korea. Slope property data, collected through an on-site survey, was used in the analysis. Additionally, slope stability changes with and without the earthquake were analyzed and compared. The analysis was performed within a peak ground acceleration (PGA) range of 0.0 (g)–2.0 (g) to identify the correlation between the slope safety factor and peak ground acceleration. The correlation between the slope safety factor and peak ground acceleration could be used as a reference for performing on-site slope stability evaluations. It also provides a reference for design and earthquake stability improvements in the slopes of road and tunnel construction projects, thus supporting the attainment of slope stability in South Korea.

When diagnosing damage to high-rise buildings during earthquakes, it is necessary to measure the displacement of each story. However, with respect to accuracy and cost, it is most reasonable to convert acceleration into displacement. In this study, shake table testing was carried out to verify the conversion methods, converting the acceleration data measured in a high-rise building into velocity and displacement. In the shaking table test, the displacement of a 10-story model building under strong motion was measured using high-speed imaging devices. High-speed images were taken at 1000 frames per second, reflecting the dynamic behavior of the model building. Then, this displacement was compared with the displacement obtained by processing the acceleration data. This study applied three methods for correcting and converting acceleration into velocity and displacement. Method 1 used the transfer function, $H_2\left(\omega \right)$ , which reflects the dynamic characteristics of the system. The displacements converted by this method showed the lowest accuracy, because the transfer function depends on the dynamic characteristics of the structure. Method 2 used the cosine Fourier transform for baseline correction, and the discrete input data are calculated as the sum of the cosine functions. Method 3 used the least-squares fitting in the first step to remove the linear drift in the acceleration and applied the high-pass Butterworth filter. The displacements converted by Method 2 were the most reliable, and were close to the displacements measured in the shaking table test. However, the response of high-rise buildings is affected by low- and high-frequency noise. It is necessary to further investigate the limitations and applicability of the conversion methods for providing reliable displacement of the building.

Most geotechnical engineers focus on ground strength and stability. However, when determining stability by analyzing the exact strength of the ground, the failure surface is essential. Nevertheless, limited studies have been conducted on the methods to determine the exact failure surface of the ground. This study shows that the failure surface and plastic area can be analyzed using the slip line method based on the slip line and lower bound analysis. To improve existing studies limited to single ground, we analyzed the failure area of heterogeneous ground conditions. The results of the slip line method were compared and verified through FELM, a finite element analysis method to which a lower limit analysis was applied. As a result, the failure area and maximum internal stress according to the ground properties and the slope angle are presented. In addition, the points of the slip line method and the finite element limit analysis are summarized. Finally, we propose limitations and solutions when applying the slip line method to the slope.

The rapid growth of tourism on Jeju Island has led to an increase in traffic volume, causing accelerated ground subsidence at the intersections between natural caves and roads. Natural phenomena are not caused by a single specific factor, but rather occur through interactions among multiple factors. Therefore, to analyze natural phenomena, it is necessary to consider not only the main effects, but also the interactions among various factors. In this study, the design of experiments was utilized to analyze the vibration-generating mechanism according to the geometrical characteristics of lava tubes, a kind of natural cave. Analysis of variance was used as the main analysis method, and multiple linear regression analysis and decision trees were additionally used. To detect all the interaction effects, multi-way factorial design, which can estimate the effect of any combination of levels, was utilized. The joint orientation, aspect ratio, and cover depth were selected as factors representing the geometrical characteristic of the lava tubes, and vehicle speed was selected as an external influence factor. As a result of the analysis, all the main effects were found to be significant, and the results of the additional two analysis methods were consistent. The two-factor interactions that showed significant results were aspect ratio $\times$ cover depth, joint orientation$\times$ vehicle speed, and joint orientation$\times$ shape ratio. However, it was difficult to analyze the interaction effect using multiple regression analysis and decision tree analysis. Among the two-factor interactions, aspect ratio $\times$ cover depth was found to be the most significant, while the main effect of the two interacting factors was the least significant. The most significant effect at a specific level of aspect ratio and cover depth could be analyzed through an interaction plot. These findings will be useful for evaluating the stability of lava tubes using only geometrical characteristics.