复杂坑道内爆炸冲击波传播快速算法研究

通过对爆炸初始段、入口传入段、直线传播、拐点、分叉、断面等典型工况条件下爆炸冲击波衰减影响因素分析,提出统一考虑多种传播衰减因素的综合衰减系数模型,基于网络流理论将复杂坑道中冲击波传播过程抽象为网络图进行建模,给出复杂坑道内爆炸冲击波最不利传播路径模型。提出传播累计距离、传播累计节点度、传播累计体积3个最不利传播路径评价指标,并基于3个指标设计了复杂坑道内爆炸冲击波传播快速算法,并对算法中用于计算网络最短路、任意网络拐点夹角、任意网络分叉夹角和内部任意点效应值的关键算子进行详细说明。最后通过一个应用案例与数值仿真计算结果进行对比,表明了该方法在计算效率上具有明显优势。

Study on Fast Algorithm of Blast Wave Propagation in Complex Tunnel

Based on the analysis of the influence factors of explosion shock wave attenuation under typical working conditions, such as the initial stage of explosion, entry pass section, the straight-line propagation, the inflection point, the bifurcation and the cross-section, a comprehensive attenuation coefficient model considering various propagation and attenuation factors is proposed. The complex underground space was abstracted as a network diagram for modeling, and the most unfavorable propagation path model of explosion shock wave in the network tunnel was given. Then, based on three most unfavorable indexes, including cumulative propagation distance, propagation cumulative node degree and propagation cumulative air volume, a multi-index comprehensive worst-case propagation path algorithm was proposed, and the key operators used to calculate the shortest path, the included angle of any network bifurcation and the effect value of internal point in the algorithm was given. Finally, an application case was compared with the numerical simulation results, indicating that the method has obvious advantages in computational efficiency.