首次将条分法引入到充填型岩溶蓄水构造突水、突泥研究当中，基于边坡稳定性分析的条分法原理，对隧道-岩溶充填物-岩溶管道系统进行了抽象概化，建立了充填型岩溶蓄水构造充填物条分解析计算模型。假设充填物在滑动面上各处均达到极限平衡状态，且在滑动面上的破坏服从Mohr-Coulomb破坏准则，通过力的平衡条件推导了充填型岩溶蓄水构造突水突泥的最小安全厚度计算公式，形成了一种求解充填型岩溶蓄水构造突水、突泥最小安全厚度的工程实用解析方法。该方法为岩溶隧道突水、突泥计算提供了一种新思路，计算结果与数值计算吻合性较好且符合实际工程情况，具有一定的理论研究与工程应用价值。

In this paper, we propose a simplified analytical method for computing the minimum safety thickness of water and mud inrush induced by filled-type karst water bearing structures. The theory of slice method widely used to analyze the slope stability is applied to investigate the stability of the karst filling material. A simplified computational model is established for the complex system which consists of tunnel, karst filling material and karst conduit. In this model, it assumes that the stress of filling material along the surface to reach the state of limit equilibrium and the failure of filling material along the sliding surface to obey Mohr-Coulomb failure criterion. An equation is derived by using the equilibrium of forces to calculate the minimum safety thickness of water and mud inrush induced by filled-type karst water bearing structures, in which it is used for the application of the practical engineering problems. The results calculated by the proposed method are in good agreement with numerical simulations. It indicates that this method is applicable for the determination of the minimum safe thickness of water and mud inrush, which also provides an efficient way to explore the mechanism of water and mud inrush in karst tunnels.