基于量纲分析和达西定律的地下化学爆炸气体泄漏规律

doi:10.19596/j.cnki.1001-246x.7886

计算物理 ›› 2019, Vol. 36 ›› Issue (4): 449-456.DOI: 10.19596/j.cnki.1001-246x.7886

基于量纲分析和达西定律的地下化学爆炸气体泄漏规律

钟巍^1,2, 田宙¹, 王铁良¹

1. 西北核技术研究所, 陕西西安 710024;
2. 北京大学数学科学学院, 北京 100871

收稿日期:2018-04-23 修回日期:2018-05-26 出版日期:2019-07-25 发布日期:2019-07-25
作者简介:钟巍(1986-),男,博士研究生,助理研究员,E-mail:zhongwei2016@pku.edu.cn
基金资助:
国家自然科学基金项目重大研究计划（91330205）资助

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

ZHONG Wei^1,2, TIAN Zhou¹, WANG Tieliang¹

1. Northwest Institute of Nuclear Technology, Xi'an 710024, Shaanxi Province, China;
2. School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2018-04-23 Revised:2018-05-26 Online:2019-07-25 Published:2019-07-25

摘要/Abstract

摘要： 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.

关键词: 地下化学爆炸, 量纲分析, 达西定律, 气体泄漏, 解析公式

Abstract: 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.

Key words: underground chemical explosion, dimensional analysis, Darcy's law, gas leakage, analytic formula

中图分类号:

O389

钟巍, 田宙, 王铁良. 基于量纲分析和达西定律的地下化学爆炸气体泄漏规律[J]. 计算物理, 2019, 36(4): 449-456.

ZHONG Wei, TIAN Zhou, WANG Tieliang. Regularity of Gas Leakage from Underground Chemical Explosions Based on Dimensional Analysis and Darcy's Law[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(4): 449-456.

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基于量纲分析和达西定律的地下化学爆炸气体泄漏规律

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

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