摘要
为了确定中深层非饱和岩土多孔介质的有效导热系数,本文基于分形几何理论构建了求解中深层非饱和岩土多孔介质有效导热系数的数学模型,模型考虑了液相分形维数D_(fl)、弯曲度分形维数D_(T)、孔隙率φ以及液体饱和度S_(w)等因素对有效导热系数的影响规律,模拟所得数据利用已有的公开实验数据进行验证.仿真结果可以看出非饱和岩土多孔介质的有效导热系数随孔隙率φ的增大而降低,随液体饱和度S_(w)的增大而增大.可以得出结论:非饱和岩土介质的有效导热系数随D_(fl)的增大而逐渐减小,随D_(T)的增大而逐渐减小,随固气和液气导热系数比的增大而增大;且在固气和液气导热系数比一定时,非饱和岩土介质有效导热系数随φ的增加而降低.该预测模型可为计算中深层非饱和岩土多孔介质导热系数提供参考.
In order to determine the Effective Thermal Conductivity(ETC)for porous media in middle-deep unsaturated rock-soil,a mathematical model was established for solving ETC of unsaturated rock-soil based on the fractal geometry theory.The influence of geometrical parameters for rock-soil porous media on the ETC were considered by the established model,such as fluid phase fractal dimension,tortuosity fractal dimension,porosity and liquid saturation.Compared the previous models,the simulated data are verified by using the pulished experimental data.The simulation results showed that the ETC for porous media in unsaturated rock-soil decreases with the increase of porosity,and increases with the increase of liquid saturation.The prediction model can be used to calculate the ETC for porous media in middle-deep unsaturated rock-soil.It can be concluded that:the ETC of unsaturated rock-soil decreases with the increase of D_(fl)and D_(T),The ETC of unsaturated rock-soil increases with the increase of the ratio of solid-gas and liquid-gas.While the thermal conductivity ratio of solid-gas and liquid-gas is constant,the ETC of unsaturated rock-soil decreases with the increase ofφ.This established model could be used a reference for the ETC for porous media in middele-deep unsaturated rock-soil.
作者
鲍玲玲
李俊岩
郭海明
BAO LingLing;LI JunYan;GUO HaiMing(School of Energy and Environmental Engineering,Hebei University of Engineering,Handan 056038,China;Handan Shengda Energy Technology Co.,Ltd.,Handan 056002,China)
出处
《地球物理学进展》
CSCD
北大核心
2021年第6期2281-2290,共10页
Progress in Geophysics
基金
河北省教育厅科学研究计划项目(ZD2018088)
河北省自然科学基金项目(E2020402052)共同资助。
关键词
中深层非饱和岩土介质
分形几何理论
孔隙率
液体饱和度
有效导热系数
Porous media in middle-deep unsaturated rock-soil
Fractal geometry theory
Porosity
Liquid saturation
Effective Thermal Conductivity(ETC)
作者简介
第一作者:鲍玲玲,女,1982年生,副教授,主要从事传热传质理论及应用研究、煤矿低位余热能回收、中深层地热资源利用等工作.E-mail:lingling5934@163.com。
