中国安全科学学报 ›› 2020, Vol. 30 ›› Issue (2): 73-78.doi: 10.16265/j.cnki.issn1003-3033.2020.02.012

• 安全工程技术 • 上一篇    下一篇

巴雷尔法计算煤瓦斯扩散系数的局限性分析

贾宏福1, 安丰华1,2 讲师, 彭信山3 讲师   

  1. 1.河南理工大学 安全科学与工程学院,河南 焦作 454000;
    2.煤炭安全生产河南省协同创新中心,河南 焦作 454000;
    3.河南理工大学 继续教育学院、安全技术培训中心,河南 焦作 454000
  • 收稿日期:2019-11-20 修回日期:2020-01-10 出版日期:2020-02-28 发布日期:2021-01-25
  • 作者简介:贾宏福(1995—),男,山西朔州人,硕士研究生,研究方向为煤矿瓦斯治理。E-mail:1125896303@qq.com。
  • 基金资助:
    国家自然科学基金青年科学基金资助(51504084);河南省瓦斯地质与瓦斯治理重点实验室开放基金资助(WS2017B12);河南省科技攻关计划项目(172102310676); 河南理工大学博士基金资助(B2016-04)。

Limitation of Barrell formula in calculating gas diffusion coefficient of coal

JIA Hongfu1, AN Fenghua1,2, PENG Xinshan3   

  1. 1. School of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo Henan 454000, China;
    2. Henan Collaborative Innovation Center for Coal Safety Production, Jiaozuo Henan 454000, China;
    3. School of Continuing Education, Safety Technology Training Center, Henan Polytechnic University, Jiaozuo Henan 454000, China
  • Received:2019-11-20 Revised:2020-01-10 Online:2020-02-28 Published:2021-01-25

摘要: 为研究扩散模型近似解中巴雷尔法计算煤瓦斯扩散系数的局限性,采用数值计算与扩散系数理论近似求解方法,对比用平均浓度模型和瓦斯赋存特征模型计算扩散系数的数值解与理论解,分析巴雷尔法仅考虑瓦斯含量梯度,不考虑瓦斯赋存状态对计算扩散系数准确性的影响。研究表明:采用平均浓度模型巴雷尔法和时变系数法的扩散系数数值解与理论解基本一致;采用瓦斯赋存特征模型巴雷尔法和时变系数法计算结果呈先下降后稳定趋势;理论模型中瓦斯含量梯度是扩散动力的前提假设,造成扩散系数计算值小于实际扩散系数。

关键词: 巴雷尔法, 扩散系数, 物理模型, 含量梯度, Comsol

Abstract: In order to study limitation of Barrel method in calculating gas diffusion coefficient of coal as an approximate solution of diffusion model, numerical calculation and theoretical approximation method for diffusion coefficient were adopted, and numerical and theoretical solutions of diffusion coefficient calculated through average concentration model and gas-bearing feature model were compared. Then, Barrel method was analyzed only considering gas content gradient but not influence of gas-bearing state on calculation accuracy of diffusion coefficient. The research shows that numerical solutions of Barrel method and time-varying coefficient method are basically consistent with theoretical solutions when average concentration model is applied while their calculation results will decline first and maintain a stable trend in case of gas-bearing characteristic model. Gas content gradient is a premise assumption of diffusion dynamics in a theoretical model, which causes calculated value of diffusion coefficient to be smaller than actual one.

Key words: Barrel method, diffusion coefficient, physical model, content gradient, Comsol

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