Rock slope stability is a key research issue in geotechnical engineering. Weak layer is a distinct feature distinguishing the rock slopes from soil types, and its existence considerably controls the slope stability. Taking in to account the differences in mineral composition, sedimentary conditions, stress history and other geological processes, the physical and mechanical parameters of rock mass generally show certain spatial variability. On the other hand, for slope failures such as landslides, rockfall and debris flows, earthquake is one of the main triggering factors. In this paper, an efficient framework is presented to evaluate the stability of the rock slope with weak layers considering spatial variability of rock mass strength properties under seismic loading. A rock slope model with weak layer is established, followed by modeling of both the spatial variability of cohesion ($c$) as well as friction angle ($\varphi$) of rock material and weak layer characterized by random field method. Random seismic loading is applied via the pseudo-static method. The Latin Hypercube Sampling (LHS) is adopted to calculate the failure probability of rock slope. The results indicate that the spatial variability of weak layer has more influence on the slope stability than that of rock material, and the influence of seismic randomness cannot be neglected. In addition, under different seismic loadings, the spatial variability of weak layers and seismic randomness have different effects on slope failure probability.

岩质边坡的稳定性是岩土工程中的关键研究问题。弱层是区分岩质边坡和土壤类型的独特特征，并且其存在极大地控制了边坡的稳定性。考虑到矿物成分，沉积条件，应力历史和其他地质过程的差异，岩体的物理和力学参数通常表现出一定的空间变异性。另一方面，对于诸如滑坡，崩塌和泥石流之类的边坡破坏，地震是主要的触发因素之一。本文提出了一种有效的框架，考虑了地震荷载作用下岩体强度特性的空间变异性，可以对弱层岩质边坡的稳定性进行评估。建立了薄弱层岩质边坡模型，$C$）以及摩擦角（$\varphi$岩石材料和薄弱层的特征是随机场法。通过伪静态方法施加随机地震荷载。采用拉丁超立方体抽样法（LHS）来计算岩质边坡的破坏概率。结果表明，薄弱层的空间变异性对边坡稳定性的影响大于岩石材料，对地震随机性的影响不容忽视。此外，在不同地震荷载下，薄弱层的空间变异性和地震随机性对边坡破坏概率的影响也不同。