煤矿安全2024，Vol.55Issue(10)：1-8,8.DOI:10.13347/j.cnki.mkaq.20231096
含瓦斯煤经典扩散模型数学关系研究
Study on mathematical relationship of classical diffusion models of coal containing methane
摘要
Abstract
The diffusion models of coal containing methane have various forms,but the mathematical relationship between the mod-els remains to be clarified.Twenty classical diffusion models of coal containing methane are studied,which are divided into conven-tional diffusion model,dynamic diffusion model and empirical diffusion model according to their characteristics.Through equival-ent and approximate mathematical transformation,it is found that there is a mathematical relationship between similar diffusion mod-els.In order to explore the relationship between the three types of diffusion models,a dynamic diffusion coefficient model was estab-lished based on the conventional diffusion model and the fractal pore structure characteristics of coal.The dynamic diffusion coeffi-cient model was derived by observing the relationship between the diffusion coefficient and time,and the mathematical relationship between the dynamic diffusion model and the conventional diffusion model was established.Based on the cubic geometry model of coal matrix,Fick's law and dynamic diffusion model,the empirical diffusion model is derived,and the relationship between the em-pirical diffusion model and dynamic diffusion model is established.关键词
含瓦斯煤/瓦斯扩散/扩散模型/经典模型/数学关系Key words
coal containing methane/gas diffusion/diffusion model/common model/mathematical relationship分类
矿业与冶金引用本文复制引用
薛洪来,闵政,温哲..含瓦斯煤经典扩散模型数学关系研究[J].煤矿安全,2024,55(10):1-8,8.基金项目
江苏省高等学校基础科学(自然科学)研究面上资助项目(22KJB620002,23KJD530001) （自然科学）
安徽理工大学煤矿安全高效开采省部共建教育部重点实验室开放基金资助项目(JYBSYS2020210) （JYBSYS2020210）
