Replacement relations for thermal conductivity of a porous rock

We focus on derivation and experimental verification of the replacement relations that link the overall thermal conductivities of heterogeneous materials with the same matrix and microstructure but having inhomogeneities with different properties. First, we derive replacement inequalities based on Hashin-Shtrikman bounds that relate overall thermal conductivity of a composite to thermal conductivity of a.porous material. Hashin-Shtrikman bounds...