Title of article :
Effective thermal conductivity of partially saturated porous rocks
Author/Authors :
C. Gruescu، نويسنده , , A. Giraud، نويسنده , , F. Hom، نويسنده , , D. Kondo، نويسنده , , D.P. Do، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
The present work is concerned with the determination of the effective thermal conductivity of porous rocks or rock-like
composites composed by multiple solid constituents, in partially saturated conditions. Based on microstructure observations,
a two-step homogenization scheme is developed: the first step for the solid constituents only, and the second step for
the (already homogenized) solid matrix and pores. Several homogenization schemes (dilute, Mori–Tanaka, the effective
field method and Ponte Castan˜eda–Willis technique) are presented and compared in this context. Such methods are allowing:
(i) to incorporate in the modellization the physical parameters (mineralogy, morphology) influencing the effective
properties of the considered material, and the saturation degree of the porous phase; (ii) to account for interaction effects
between matrix and inhomogeneities; (iii) to consider different spatial distributions of inclusions (spherical, ellipsoı¨dal). An
orientation distribution function (ODF) permits simultaneously to incorporate in the modelling the transverse isotropy of
pore systems. Appearing as homogeneous at the macroscopic scale, it is showed that the effective conductivity depends on
the physical properties of all subsidiary phases (microscopic inhomogeneities). By considering the solution of a single ellipsoı
¨dal inhomogeneity in the homogenization problem it is possible to observe the significant influence of the geometry,
shape and spatial distribution of inhomogeneities on the effective thermal conductivity and its dependence with the saturation
degree of liquid phase. The predictive capacities of the two-step homogenization method are evaluated by comparison
with experimental results obtained for an argillite.
Keywords :
Effective thermal conductivity , homogenization , porous media , Ellipso?¨dal inhomogeneity
Journal title :
International Journal of Solids and Structures
Journal title :
International Journal of Solids and Structures