岩土工程学报2024,Vol.46Issue(12):2580-2590,11.DOI:10.11779/CJGE20230900
岩土热导率预测正三棱柱-准内切球单元结构模型
Regular triangular prism-quasi-inscribed sphere unit cell model for predicting thermal conductivity of geomaterials
摘要
Abstract
Inspired by the homogenization theory in the field of micromechanics,a regular triangular prism-quasi-inscribed sphere unit cell model at the meso-scale for predicting the thermal conductivity of two-phase(dry or water-saturated)geomaterials is proposed by using the lumped parameter thermo-electric analogy method.The performance of the established model is evaluated with 34 sets of thermal conductivity experimental data and 238 sets of thermal conductivity predictions.The results indicated that:(1)The regular triangular prism-quasi-inscribed sphere unit cell is a real representative elementary volume that can characterize the macroscopic continuum geomaterials and overcome the inherent spatial correction defects of the sphere and cylinder unit cell structures.Besides,this model can be used for soil-rocks with the porosity of 0~0.6,covering most porosity range of the natural geomaterials.(2)The MATLAB data visualization illustrate that the proposed model gives thermal conductivities concavely decreasing with porosity,and the model performance is better at relative high porosity(0.3~0.6)than those at low void ratio(<0.25).(3)Taking the typical geomaterials under two-phase condition as an example,this model has better predictive performance than other unit cell theoretical models,especially under dry condition(the RMSE and NRMSE are,respectively,0.89W/(m.K)and 31%).(4)Finally,the unit cell model proposed herein can be extended to three-phase unsaturated state(general solid-liquid-gas),and a promising initiative,i.e.,to study the effects of component and structure on the effective thermal conductivity of porous-granular geomaterials from an evolutionary perspective,is conjectured based on pore/particle structure and pore water morphology,aiming to provide a new way for further investigating the macroscopic thermo-mechanical behavior of tanglesome geomaterials.关键词
岩土介质/表观热导率/孔隙率/关联式/演化Key words
geomaterial/effective thermal conductivity/porosity/correlation/evolution分类
建筑与水利引用本文复制引用
褚召祥,王一鸣,李晓昭,董凯军,顾晓滨,贾国圣..岩土热导率预测正三棱柱-准内切球单元结构模型[J].岩土工程学报,2024,46(12):2580-2590,11.基金项目
国家自然科学基金项目(42107156,42230704) (42107156,42230704)
111创新引智计划(B23003) (B23003)
江苏省自然科学基金项目(BK20231501) (BK20231501)
徐州市科技计划(KC23383) (KC23383)
广东省新能源和可再生能源研究开发与应用重点实验室开放基金项目(E039kf0501) (E039kf0501)