基于图论的矿井突水水流漫延模型与最佳逃生路径的研究

Research on the Water Inrush Flow Spreading Model and Optimal Escape Path in Mines Based on Graph Theory

摘要: 矿井突水严重威胁矿山开采与井下人员安全，精准预测突水范围、优化逃生路径对矿山安全生产至关重要。本文针对不同突水场景与应急需求，以图论框架和路径优化算法为核心，采用分叉速度衰减规则和曼宁公式简化水流传播，得到双突水点突水时的全矿井巷道水流漫延模型和工人逃生最优路径方案。研究结果可为矿井水灾演进研究与应急逃生规划提供解决方案。

Abstract: Mine water inrush poses a serious threat to mining operations and the safety of personnel underground. Accurate prediction of the water inrush range and optimization of escape routes are crucial for safe production in mines. This paper focuses on different water inrush scenarios and emergency response needs, using graph theory frameworks and path optimization algorithms as the core. By adopting bifurcation velocity attenuation rules and Manning’s formula to simplify water flow propagation, it derives a model of water flow spread in the entire mine tunnel during water inrush at multiple inrush points, as well as an optimal escape route plan for workers. The research results can provide solutions for the study of mine flood evolution and emergency escape planning.