Corrélation entre la vitesse d’onde P et la conductivité thermique des matériaux hétérogènes et poreux

Abstract

Abstract. In the present study, the petrophysical properties of five different rocks have been measured and analyzed. This is the thermal conductivity, P-wave velocity and porosity. The methodology to estimate the thermal conductivity is to impose heat flux unidirectional on a sample and measure the temperature difference across the sample. The ultrasonic testing is based on the measurement of propagation time of a P-wave in the longitudinal direction. The porosity is measured by the mercury porosimetry technique, based on the measurement of the volume of mercury intruded into the rock under different pressures (mercury intrusion). The results have been shown a direct effect of porosity on thermal conductivity and P-wave velocity. We have found good relationship between the petrophysical properties such as P-wave velocities versus porosity and P-wave velocities versus thermal conductivity coefficient .The experimental results have been then compared with theoretical models available in the literature. These results, consistent with theory, show the possibility of estimating the thermal conductivity from the P-wave velocity and the use of non-destructive methods.Résumé. Dans ce travail, des propriétés pétrophysiques de cinq roches différentes ont été mesurées et analysées. Il s'agit de la conductivité thermique, la vitesse de propagation d'onde P et la porosité. En ce qui concerne la conductivité thermique, on impose à un échantillon un flux de chaleur unidirectionnel et on mesure la différence de température aux bornes de l'échantillon. Le test ultrasonique est basé sur la mesure du temps de propagation d'une onde P dans le sens longitudinal. La porosité est mesurée par la technique de porosimétrie au mercure, basée sur la mesure de la quantité de mercure insérée dans les pores d'une roche sous différentes pressions (intrusion de mercure). Les résultats obtenus montrent un effet direct de la porosité sur La

Determination of Thermal Conductivity and Porosity of Building Stone from Ultrasonic Velocity Measurements

“…These results are consistent with literature results [7,16]. In general, we observe that the high value of the P-wave velocity is obtained for the samples saturated and the low value is obtained for dry samples.…”

“…In general, we observe that the high value of the P-wave velocity is obtained for the samples saturated and the low value is obtained for dry samples. The authors Boulanouar et al [7], Guéguen et al [17] and Rahmouni et al [18] compared the velocities P-wave in dry and saturated with water. They generally observed that V P (dry) < V P (saturated).…”

“…Most researchers [4][5][6][7] have studied the relations between rock properties and P-wave velocity and found that the P-wave velocity is closely related to rock properties. Many studies have shown that the thermal conductivity of a porous rock depends mainly on the mineralogical composition, porosity of the rock, presence of fluids filling the pores, and ambient temperature and pressure [8].…”

Prediction of Porosity and Density of Calcarenite Rocks from P-Wave Velocity Measurements

“…The results obtained for the measurement of P-wave velocities of dry samples range from 3.56 to 3.8 km/s and [21,23]. In general, we observe that the high value of the P-wave velocity is obtained for the samples saturated and the low value is obtained for dry samples.…”

“…In general, we observe that the high value of the P-wave velocity is obtained for the samples saturated and the low value is obtained for dry samples. The authors Boulanouar et al [22,23], Kahraman [24], Gué-guen et al [25] and Oghenero [26] compared the velocities P-wave in dry and water saturated states. They observed generally that V P (dry) < V P (saturated).…”