Materials and Structures

, 51:163 | Cite as

A modified model considering the influence of porosity on thermal conductivity of iron sand cement mortar based on cubic three-phase model

  • Kai LiuEmail author
  • Yao Li
  • Lin Lu
  • Fang Wang
  • Heng Ding
Original Article


To improve calculation accuracy of cubic three-phase (CTP) model and figure out the influence of porosity on thermal conductivity, a thermal conductivity modified model for iron sand cement mortar (ICM) was proposed. Under the different water-cement (W/C) ratio, river sand-iron ore sand (R/I) ratio and sand-cement (S/C) ratio conditions, the experimental thermal conductivities of cement paste and ICM were measured by the laser flash method, and their theoretical thermal conductivities were calculated by CTP model. Moreover, the first functional relationship between ICM’s porosity and its experimental values of thermal conductivity, and the second functional relationship between ICM’s porosity and its theoretical values were both established using regression analysis. Afterwards, the difference between the first functional relationship and the second functional relationship was defined as the modified function in different conditions. Finally, the thermal conductivity modified model considering the porosity was proposed based on CTP model and modified function. The thermal conductivity modified model was compared with other theoretical models, and the results show that the modified values have a good agreement with experimental values, and it can enhance the calculation accuracy greatly. In this paper, a modified method between the experimental value and the theoretical value was proposed, which provides a practical basis and theoretical method for optimizing experimental value.


Thermal conductivity Porosity Cubic three-phase model Modified model Iron ore sand cement mortar 



The authors are very thankful to the National Natural Science Foundation of China (Grant Nos. 51108150, 51408005 and 51508147). Authors would like to thank the reviewers and editor for their valuable suggestions and comments to improve the quality of the paper. The authors gratefully appreciate Dr. Shuqin Li for her help and concern in the response of the paper.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest related to the publication of this article.


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Copyright information

© RILEM 2018

Authors and Affiliations

  1. 1.School of Automobile and Traffic EngineeringHefei University of TechnologyHefeiChina
  2. 2.School of Civil EngineeringAnhui Jianzhu UniversityHefeiChina

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