Determination of Influencing Factors for Slope Stability Using Grey Relational Analysis (GRA) Technique

Abstract

This study aims to analyze and investigate the influencing factors for factor of safety (FOS) in slope stability analysis. The study proposes the grey relational analysis (GRA) method to analyze the influencing factors to the slope stability based on previous case studies reported in the literature. The six influencing factors including unit weight (γ), cohesion, (c), internal friction angle (φ), slope angle (β), slope height (H), and pore water pressure ratio (ru) with FOS were analyzed based on grey relational grade (GRG) value to determine the relationships between these factors. From the study, it was found that slope height (H) is the most influencing factor to the slope stability by giving the mean GRG value of 0. 704, while slope angle (β), and pore water pressure (ru) are the less influencing factors by giving the lowestmean GRG with 0.628 and 0.629, respectively. The analysis results play an important role in slope stability analysis as well as slope design and reinforcement.