Simultaneous measurement of thermal conductivity, thermal diffusivity and prediction of effective thermal conductivity of porous consolidated igneous rocks at room temperature

Abstract

Thermal conductivity, thermal diffusivity and heat capacity per unit volume of porous consolidated igneous rocks have been measured, simultaneously by Gustafsson's probe at room temperature and normal pressure using air as saturant. Data are presented for eleven samples of dunite, ranging in porosity from 0.130 to 0.665% by volume, taken from Chillas near Gilgit, Pakistan. The porosity and density parameters have been measured using American Society of Testing and Materials (ASTM) standards at ambient conditions. The mineral composition of samples has been analysed from their thin sections (petrography). An empirical model to predict the thermal conductivity of porous consolidated igneous rocks is also proposed. The thermal conductivities are predicted by some of the existing models along with the proposed one. It is observed that the values of effective thermal conductivity predicted by the proposed model are in agreement with the experimental thermal conductivity data within 6%.

Modeling of Effective Thermal Conductivity of Dunite Rocks as a Function of Temperature

“…From Eq. 8, it is obvious that when T = T o , this formula resembles our proposed equation at room temperature [21]. The thermal conductivities of all the samples are also predicted by the proposed model (Eq.…”

“…where T o (reference or room temperature) and T are measured in K, λ s is the thermal conductivity of the solid phase at room temperature and is set equal to 4.695 W · m −1 · K −1 [21], λ f = 0.026 W · m −1 · K −1 for air in pore spaces [22], is the fractional porosity, and m is an empirical coefficient. The value of m can be determined using experimental data of the thermal conductivity and corresponding values of and λ s as versus T is plotted in Fig.…”

Modeling of the Effective Thermal Conductivity of Consolidated Porous Media with Different Saturants: A Test Case of Gabbro Rocks

“…A recently proposed empirical model [25] for the prediction of thermal conductivity of consolidated porous media in terms of easily measurable parameters is…”

“…For the case of water as the saturant, all the models give nearly similar results and the errors are within 2% (Table V). (1961) [6] (1980) [12] (1984) [14] (2006) [25] ( (1961) [6] (1980) [12] (1984) [14] (2006) [25] ( …”

Photothermal Radiometry Characterization of Limestone Rocks from the Península of Yucatán

“…Several techniques have been used to determine the thermal properties of diverse types of rocks, such as calcareous, quartz, gneiss, etc., using the hot-plate method [3], probe needle method [6], TPS technique [7,8], divided bar method [2,6], pulsed methods [9], cut-core method [10], among others [2,11]. Photothermal techniques have also been shown as highly reliable noninvasive and noncontact methods in identifying the original ancient pedestal limestone of archeological sites in Cyprus [12].…”