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Journal of Porous Media

Impact factor: 1.061

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i7.20
pages 625-635

Mathematical Investigation of Effective Thermal Conductivity in Fractured Porous Media

Shahab Ayatollahi
Department of Chemical and Petroleum Engineering, Sharif University of Technology, Tehran, Iran
Nima Saber
School of Chemical and Petroleum Engineering, Shiraz University, P.O. Box 71345-1719, Shiraz, Iran
Mohammad Javad Amani
School of Chemical and Petroleum Engineering, Shiraz University, P.O. Box 71345-1719, Shiraz, Iran
Ali Bitaab
School of Chemical and Petroleum Engineering, Shiraz University, P.O. Box 71345-1719, Shiraz, Iran

ABSTRACT

Calculating the thermal conductivity of the porous material is a challenging task due to the heterogeneity of medium and presence of numerous adjustable parameters. Meanwhile, the prominent role of conductivity in heat transfer through porous media highlights the necessity of a better understanding of effective thermal conductivity. In this study, the unit cell model is used to predict the effective thermal conductivity of the saturated two-phase porous media. The calculated data were proved to be in agreement with those from well-known correlations.
Finally, a unit cell model is further extended to study the heat transfer in fractured porous media and a correlation is developed to predict the effective thermal conductivity of the fractured media based on the size and orientation of the fractures.