关键词: 边坡稳定性, Ubiquitous-Joint, 模型, 强度折减法, 赤平投影

Abstract: The existing numerical calculation methods for slope stability only consider the overall re ⁃ duction strength of rock layers，lacking the analysis of the influence of joint orientation and strength.Tak⁃ ing a high-angle rock slope of an open-pit mine as the research object，a comprehensive evaluation of slope stability based on rock joints was carried out to improve the accuracy of slope stability analysis. Based on engineering investigation，indoor experiments，and theoretical analysis，the rock mechanical pa⁃ rameters were obtained，and the finite difference numerical simulation method was combined.The calcula⁃ tion results of the Ubiquitous-Joint model and the traditional Mohr-Coulomb model under three working conditions (natural，blasting，and earthquake)were compared.The strength reduction method was adopt⁃ ed，and the "binary search"iterative strategy was written in FISH language to calculate the safety factor. The displacement field and the distribution characteristics of the plastic zone were analyzed.Under the three working conditions，the safety factors calculated by the two models both met the specification require ⁃ ments，but the Ubiquitous-Joint model results were more conservative.The Ubiquitous-Joint model shows that there is shear failure along the joint surface in the slope interior，the displacement concentration range is larger，and the distribution of the plastic zone is more in line with the actual situation of the rock mass with joints.The overall slope did not form a continuous potential sliding surface and was in a stable state. The study shows that the Ubiquitous-Joint model has higher accuracy and applicability in analyzing the sta ⁃ bility of jointed rock slopes，and can effectively reflect the influence of joints on the stability of the slope. The research results verify the rationality of the current slope design in the mine，and the proposed "joint control -strength reduction"coupling analysis technical route provides a scientific basis for the stability evaluation of similar open-pit mine slopes，and is of great significance for achieving safe mining and pre ⁃ cise slope management in the mine.

Key words: slope stability, Ubiquitous-Joint model, strength reduction method, stereographic projec? tion