气液两相多组分非等温渗流的数学模型  

Mathematical Model of Non-Isothermal Liquid-Gas Two-Phase Multi-Component Seepage Flow in Porous Media

作　　者：何增[1] 田宙[1] 王铁良[1] HE Zeng;TIAN Zhou;WANG Tie-liang(Northwest Institute of Nuclear Technology, X i’an 710024,China)

机构地区：[1]西北核技术研究所,西安710024

出　　处：《现代应用物理》2016年第2期77-85,共9页Modern Applied Physics

摘　　要：通过分析气液两相在多孔介质中的相互作用过程,建立了一套描述两相多组分非等温渗流的数学模型。所建立的控制方程中,既包括对流、弥散和源汇作用,也包括非达西流动、水气转变以及辐射传热等高温高压环境下的特殊物理过程。提供了一套完整的使控制方程封闭的本构关系,并推导了比能和比焓的计算公式。利用本文模型对地下爆炸气体的迁移过程进行了数值模拟。结果表明:与气相渗流模型相比,该模型可以更合理地描述气体在地质介质中的输运行为。A set of mathematical model is developed for non-isothermal two-phase multi-com-ponent seepage flow by analyzing the interactions of gas and liquid in porous media.Special processes are considered in high temperature and high pressure environment,such as non-Darcy flow,water transition and heat radiation,the convection,dispersion,source,and sink terms.Moreover,a complete set of constitutive relations is proposed to close the governing equations,among which the formulas for calculating the specific internal energy and the spe-cific enthalpy are derived.Finally,this model is used to simulate the migration of explosive gas after underground detonation.The result suggests that,compared with the gas phase seepage model,this model can provide a more reasonable description for the gas transport in geological medium.

关 键 词：两相渗流 非等温流动 数学模型 本构关系 气体输运 

分 类 号：O35[理学—流体力学]