Some features of the temperature-pressure dependence of the effective thermal conductivity of rocks

Abstract

We have studied the behavior of the effective thermal conductivity of rocks (as natural heterogeneous materials) for the pressure range 0.1-400 MPa (initial region) and the temperature range 273-523 K. We propose a low-parametric empirical equation with great accuracy describing the effective thermal conductivity dependence, and discuss the physical meaning of its parameters.

Temperature-baric behavior of the effective thermal conductivity of sandstones

“…is often close to linear, but for complex multicomponent structures, which include sedimentary rocks, this dependence is highly nonlinear especially in the initial section. At the same time, in the range of pressure from atmospheric to several hundred MPa (the most interesting in geological applications), it can be fairly well estimated by empirical and semiempirical two-component dependences ( [7,8] and references therein), in particular:…”

“…It causes a weakening of phonon scattering of heat waves, which, together with the influence of block boundaries and crystal lattice defects, has a rather complex IOP Publishing doi:10.1088/1755-1315/1021/1/012079 2 nature of the temperature dependence of effective thermal conductivity [6]. Nevertheless, the analysis of many experimental and theoretical works ( [7,8] and references therein) shows that the temperature dependence of the effective thermal conductivity of a large class of compounds and, first of all, rocks is well described by the power law:…”