基于量纲分析和达西定律的地下化学爆炸气体泄漏规律

针对周围是均匀岩石介质的地下化学爆炸，研究爆炸后爆室内气体的泄漏规律.利用量纲分析，得到影响气体泄漏时间的主要物理量，包括气体动力学粘度、爆室内超压、围岩孔隙率及围岩厚度的平方与渗透率的比值等，并初步给出它们之间的函数关系.然后基于达西定律，推导计算气体泄漏时间的解析公式.得到的气体泄漏时间计算公式与通过量纲分析得到的定性函数关系式完全相符，二者从不同的角度对同一问题给出了相容的结果.可为地下化学爆炸气体泄漏的理论分析和规律性研究提供研究思路和工具，为地下爆炸有关的工程估算提供参考依据.

Regularity of Gas Leakage from Underground Chemical Explosions Based on Dimensional Analysis and Darcy's Law

For underground chemical explosions in a cavity surrounded by uniform rock media, regularity of gas leakage was studied. Firstly, with method of dimensional analysis, influence physical quantities of gas leakage time, such as gas dynamic viscosity, overpressure of cavity, porosity of surrounding rock and ratio of the square of surrounding rock's thickness to permeability, were obtained. Qualitative functional relation of these quantities was proposed. Then, on the basis of Darcy's law, analytical formula for gas leakage time was derived. It agrees well with the qualitative functional relation derived with dimensional analysis method. Namely, two functions derived from totally different ways are highly compatible with each other. The method proposed is an enlightening idea and an efficient technique for theoretical analysis and regularity research of underground explosions gas leakage. It provides references for engineering estimation.