1. bookVolume 20 (2020): Issue 5 (October 2020)
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
access type Open Access

Thermophysical Parameters of Carbonate Rock estimated by Slab Model Developed for Pulse Transient Technique

Published Online: 29 Oct 2020
Page range: 218 - 223
Received: 10 Aug 2019
Accepted: 14 Sep 2020
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
Abstract

The slab model has been used for parameter estimation from the measurement performed by the Pulse Transient Technique. The estimation of thermophysical parameters was done on carbonate rock sample. In addition to basic thermal parameter for example thermal diffusivity, thermal conductivity and specific heat capacity, the slab model takes into account the heat capacity of the heat source, as well as the heat transfer coefficient between the heat source and the sample. The thermophysical parameters were estimated for the case when thermal conductive paste as a heat contact agent was not used for the measurements. The paste contains silicone oil that penetrates into the porous stone material and thus causes irreversible changes of properties during the measurement so we decided not to use it. The experiment was done with dry contacts at the interfaces that causes the disturbances in the measurement that have been introduced and resolved using the slab model. Uncertainty analysis of the estimation of the parameters by the slab model was done for real measurements conducted on the carbonate rock. In this paper we analyzed the quality of the temperature response fit in dependency on the originally free fitted parameters of the heat transfer coefficient and the heat capacity of the heat source that was replaced by constant values in two steps. The heat capacity of the heat source was calculated from the material properties, e.g., the nickel and Kapton. The fit results obtained by the slab model were compared with the data obtained by the ideal and cuboid model. The analysis of the sensitivity coefficients and calculated uncertainties of estimated parameters with the slab model help to improve the accuracy of parameter estimation.

Keywords

[1] Vasseur, G., Brigaud, F., Demongodin, L. (1995). Thermal conductivity estimation in sedimentary basins. Ectonophysics, 244 (1-3), 167-174.10.1016/0040-1951(94)00225-XSearch in Google Scholar

[2] Woodside, W., Messmer, H.J. (1961). Thermal conductivity of porous media. II. Consolidated rocks. Journal of Applied Physics, 32 (9), 1699.Search in Google Scholar

[3] Gegenhuber, N., Schoen, J. (2012). New approaches for the relationship between compressional wave velocity and thermal conductivity. Journal of Applied Geophysics, 76, 50-55.10.1016/j.jappgeo.2011.10.005Search in Google Scholar

[4] Yüksel, N. (2016). The review of some commonly used methods and techniques to measure the thermal conductivity of insulation materials. In Insulation Materials in Context of Sustainability. IntechOpen. http://dx.doi.org/10.5772/64157.10.5772/64157Search in Google Scholar

[5] Gustafsson, S.E. (1991). Transient plane source techniques for thermal conductivity and thermal diffusivity measurements of solid materials. Review of Scientific Instruments, 62, 797.10.1063/1.1142087Search in Google Scholar

[6] Vacquier, V. (1985). The measurement of thermal conductivity of solids with a transient linear heat source on the plane surface of a poorly conducting body. Earth and Planetary Science Letters, 74 (2-3), 275-279.10.1016/0012-821X(85)90027-5Search in Google Scholar

[7] Akabori, M., Nogawa, H., Nagasaka, Y., Nagashima, A. (1990). In 11th Japan Symposium on Thermophysical Properties. Japan Society of Thermophysical Properties, 17. (in Japanese)Search in Google Scholar

[8] Baba, T., Kobayashi, M., Ono, A., Hong, J.H., Suliyanti, M.M. (1993). Experimental investigation of the non-uniform heating effect in laser flash thermal diffusivity measurements. Thermochimica Acta, 218 (3), 329-339.10.1016/0040-6031(93)80433-BSearch in Google Scholar

[9] Sarkar, B.K., Verma, A.S., Gupta, R.C., Singh, K. (2010). Thermal and optical properties of Zn1-xMnxTe diluted magnetic semiconductor studied by photoacoustic spectroscopic method. International Journal of Thermophysics, 31, 620-629.10.1007/s10765-010-0759-zSearch in Google Scholar

[10] Mandelis, A. (ed.) (1987). Photoacoustic and Thermal Wave Phenomena in Semiconductors. Elsevier.Search in Google Scholar

[11] International Organization for Standardization. (2008). Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in measurement (GUM:1995). ISO/IEC Guide 98-3:2008.Search in Google Scholar

[12] Joint Committee for Guides in Metrology. (2008). Evaluation of measurement data — Guide to the expression of uncertainty in measurement. JCGM 100:2008.Search in Google Scholar

[13] International Organization for Standardization. (2006). Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability. ISO 3534-1:2006.Search in Google Scholar

[14] Beck, J.V., Arnold, K.J. (1977). Parameter Estimation in Engineering and Science. John Wiley and Sons, ISBN 0-471-06118-2Search in Google Scholar

[15] Boháč, V., Dieška, P., Vretenár, V., Greif, V. (2011). Model for cuboid shape samples and its analysis used for measurements of thermophysical properties of sandstone. Measurement Science Review, 11 (6), 192-197.10.2478/v10048-011-0032-zSearch in Google Scholar

[16] Boháč, V., Gustavsson, M., Kubičár, Ľ., Vretenár, V. (2003). Measurements of building materials by transient methods. In Proceedings of the Meeting of the Thermophysical Society - Working Group of the Slovak Physical Society, 53-66.Search in Google Scholar

[17] Boháč, V., Dieška, P., Tiwari, R. (2019). Measurement of thermophysical properties of mortar filled by polymer filaments by pulse transient technique. In Measurement 2019: 12th International Conference on Measurement. IEEE, 154-157.10.23919/MEASUREMENT47340.2019.8779852Search in Google Scholar

[18] Tiwari, R., Boháč, V., Dieška, P., Götzl, G. (2020). Thermal properties of limestone rock by pulse transient technique using slab model accounting heat transfer coefficient and heat capacity of heat source. In Thermophysics 2020: 25th Meeting of the Thermophysical Society and Working Group of the Slovak Physical Society.Search in Google Scholar

[19] Boháč, V., Pavlendová, G., Tiwari, R., Šín, P. (2020). Thermophysical properties of concrete composites mixed with waste materials measured by the pulse transient method using slab and cuboid models. Thermophysics 2020: 25th Meeting of the Thermophysical Society and Working Group of the Slovak Physical Society.Search in Google Scholar

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