Abstract: The rapid evaluation of seismic stability of rock slopes is a hot and difficult topic of concern for scholars. Traditionally, most studies have used the chart method to obtain safety factors and quickly evaluate the seismic stability of rock slopes. Currently, there is a lack of methods for quickly evaluating the critical acceleration of rock slopes. How to construct a critical acceleration model is a prerequisite for calculating the permanent displacement of slopes. Therefore, this article proposes a new method for quickly calculating the critical acceleration of rock slopes using the finite element limit analysis method (mean bound solution) and the generalized Hawke Brownian strength criterion. Numerical modeling was conducted on a generalized rock slope. Based on the results of 1960 case calculations, a critical acceleration map of the rock slope was drawn. Through two fitting statistical analyses, a functional expression between the critical acceleration of the rock slope and the geometric conditions and strength parameters of the slope was constructed. The method proposed in this paper was compared with the Newmark model and numerical solutions. The results indicate that the computational accuracy of the proposed method is closer to the numerical solution than that of the Newmark model. The developed permanent displacement evaluation method for rock slopes is efficient and convenient, which can not only be used for rapid evaluation of seismic stability of individual slopes, but also provide technical support for calculating the permanent displacement of thousands of slopes on a regional scale.

Key words: Rock slope, stability charts, Finite element limit analysis, Permanent displacement, Rapid evaluation