摘要
污染物在饱和可变形多孔介质中的输运问题属于多场耦合的范畴.为模拟含N种组分的液相污染物在可压缩固相多孔介质中的输运过程,在复合混合物理论的基础上将体积分数作为内变量引入,提出并建立了可压缩多孔介质中多组分污染物热-水力-力学耦合输运问题的热力学框架.将体积分数看作独立变量用于描述介质的微观结构,并形成动力相容条件来描述由多组分流体饱和的可压缩多孔介质界面处应力突变的微观力学机制.根据近平衡态理论以及线性化方法得到基于上述理论框架的线性化热-水力-力学耦合污染物输运模型.所提出的模型是在公理系统基础上建立的,输运过程中的渗流和扩散过程最终可表示为与相的密度梯度、组分浓度梯度、体积分数梯度及温度梯度有关的形式,实现了多种因素的耦合.
Contaminant transport in saturated deforming porous media is a multi-field coupling problem. In this paper a contaminant transport system is modeled as a superposition of one compressible porous solid and fluid phase which contains N components. The thermodynamic framework of thermohydro-mechanical contaminant transport model is developed based on hybrid mixture theory. Volume fraction as an independent state variable represents the microstructure of porous media and the dynamic compatibility condition is introduced in the model to describe the microscopic mechanical constrain on the pressure jump across interface of the compressible porous media. According to the near equilibrium theory and a formal linearization of above framework, a linear thermo-hydro-mechanical model of multi-component contaminant transport is obtained. The model established in this paper is developed from an axiomic system and couples multiple influencing factors. Seepage and diffusion process are relevant to gradient of phase density, component concentration, volume fraction and temperature eventually.
出处
《北京交通大学学报》
CAS
CSCD
北大核心
2009年第3期93-98,共6页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金
国家自然科学基金资助项目(50778013)
关键词
污染物输运
复合混合物理论
多组分流体
多孔弹性
热力学框架
contaminant transport
hybrid mixture theory
multicomponent
poroelasticity
thermodynamic framework
作者简介
黄璐（1982-），女，四川宜宾人，博士生．email：05115258@bjtu．edu．cn．
赵成刚（1955-），男，黑龙江哈尔滨人，教授，博士，博士生导师．
