Thermal Conductivity of Cuddapah and Kurnool Limestone Rocks: Prediction and Analysis Using MVR, Sensitivity Analysis, and K-Fold Cross Validation
- Department of Mining Engineering, National Institute of Technology Karnataka Surathkal, 575025, India
- CSIR- National Geophysical Research Institute, Hyderabad,500007, Telangana, India
- Department of Mining Engineering, Indian Institute of Technology Kharagpur, 721302, West Bengal, India
Received: 2024-07-08
Revised: 2024-08-17
Accepted: 2024-10-18
Published in Issue 2026-03-31
Published Online: 2025-05-09
Copyright (c) 2025 Gurram Dileep, Anup Kumar Tripathi, Chivukula Suryanarayana Murthy, Labani Ray, Samir Kumar Pal (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
Thermal Conductivity (TC) is a critical physical property of rocks, essential for applications such as geothermal modelling, radioactive waste disposal, building insulation, underground construction, and various civil and mining operations. This paper presents an experimental study of the measurements of thermal conductivity and other physical properties of limestone rock samples of the Cuddapah and Kurnool regions. The physical properties, including TC, density, porosity, and P-wave velocity, were measured for each sample. A significant correlation was identified between TC and the intrinsic rock properties of porosity, density, and P-wave velocity. This paper focuses on developing and validating predictive models for TC using Multivariate Regression (MVR) analysis and K-fold cross-validation. The determination coefficient (R²) for the MVR model was 0.95, while the K-fold cross-validation model showed a performance R² of 0.92, indicating the high accuracy of the MVR model in predicting TC. The thermal conductivity data obtained from this research establishes an initial database for rocks from the Cuddapah and Kurnool regions, serving as a valuable resource for designing thermal management systems and engineering projects in these areas.
Keywords
- Thermal Conductivity,
- Limestone,
- Heat transfer,
- Porosity,
- Density,
- P-wave velocity
References
- Anjum, F., Rasool, F., Mohyudin, F., Ameen, A., Naz, M. Y., Ghaffar, A., Shukrullah, S. (2020) Study of effect of moisture and temperature on thermal and physical properties of limestone using a transient plane source technique. In IOP Conference Series: Materials Science and Engineering, IOP Publishing 863(1):1-5. https://doi.org/10.1088/1757-899X/863/1/012014
- ASTM, D. 2845-05. (2005) Standard Method for Laboratory Determination of Pulse Velocities and Ultrasonic Elastic Constants of Rock. Pennsylvania: ASTM International Standards Worldwide 1-7.
- Balkan, E., Erkan, K. Şalk, M. (2017) Thermal conductivity of major rock types in western and central Anatolia regions, Turkey. Journal of Geophysics and Engineering 14(4):909-919. https://doi.org/10.1088/1742-2140/aa5831
- Beck, A. E., Beck, J. M. (1958) On the measurement of the thermal conductivities of rocks by observations on a divided bar apparatus. EOS Transactions American Geophysical Union 39(6):1111-1123. https://doi.org/10.1029/TR039i006p01111
- Boulanouar, A., Rahmouni, A., Boukalouch, M., Samaouali, A., Géraud, Y., Harnafi, M., Sebbani, J. (2013) Determination of thermal conductivity and porosity of building stone from ultrasonic velocity measurements. Geomaterials 3(4) :138-144. http://dx.doi.org/10.4236/gm.2013.34018
- Budaiwi, I., Abdou, A., Al-Homoud, M. (2002) Variations of thermal conductivity of insulation materials under different operating temperatures: Impact on envelope-induced cooling load. Journal of Architectural Engineering 8(4):125-132. https://doi.org/10.1061/(ASCE)1076-0431(2002)8:4(125)
- Çanakci, H., Demirboğa, R., Karakoç, M. B., Şirin, O. (2007) Thermal conductivity of limestone from Gaziantep (Turkey). Building and environment 42(4):1777-1782. http://dx.doi.org/10.1016/j.buildenv.2006.01.011
- Ceryan, N., Okkan, U., Kesimal, A. (2013) Prediction of unconfined compressive strength of carbonate rocks using artificial neural networks. Environmental earth sciences 68:807-819. http://dx.doi.org/10.1007/s12665-012-1783-z
- Cha, J., Seo, J., Kim, S. (2012) Building materials thermal conductivity measurement and correlation with heat flow meter, laser flash analysis and TCi. Journal of Thermal Analysis and Calorimetry 109(1):295–300. http://dx.doi.org/10.1007/s10973-011-1760-x
- Chakraborty, P. P., Dey, S., Mohanty, S. P. (2010) Proterozoic platform sequences of Peninsular India: Implications towards basin evolution and supercontinent assembly. Journal of Asian Earth Sciences 39(6):589-607. http://dx.doi.org/10.1016/j.jseaes.2010.04.030
- Chopra, N., Ray, L., Satyanarayanan, M., Elangovan, R. (2018) Evaluate best-mixing model for estimating thermal conductivity for granitoids from mineralogy: a case study for the granitoids of the Bundelkhand craton, central India. Geothermics, Elsevier Ltd 75:1–14. https://ui.adsabs.harvard.edu/link_gateway/2018Geoth..75....1C/doi:10.1016/j.geothermics.2018.03.011
- Clauser, C., Huenges, E. (1995) Thermal conductivity of rocks and minerals. Rock physics and phase relations: a handbook of physical constants. American Geophysical Union, Washington 3:105-126. https://doi.org/10.1029/RF003p0105
- Crawford, A. R., Compston, W. (1973) The age of the Cuddapah and Kurnool systems, southern India. Journal of the Geological Society of Australia 19(4):453-464. https://doi.org/10.1080/00167617308728813
- Dileep, G., Tripathi, A. K., Murthy, C. S., Pal, S. K. (2023) A review study of thermal conductivity and influencing physico-mechanical properties of rocks. International Journal of Mining and Mineral Engineering 14(3):247-273. https://doi.org/10.1504/IJMME.2023.137299
- Hajihassani, M., Marto, A., Khezri, N., Kalatehjari, R. (2015) Indirect measure of thermal conductivity of rocks through adaptive neuro-fuzzy inference system and multivariate regression analysis. Measurement 67:71-77. https://doi.org/10.1016/j.measurement.2015.02.009
- ISRM, (1978) Suggested method for determining sound velocity. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts 15(2):53–58. https://doi.org/10.1016/0148-9062(78)91678-9
- ISRM, (1979b) Suggested methods for determining water content, porosity, density, absorption and related properties and swelling and slake-durability index properties: Part 2: Suggested methods for determining swelling and slake-durability index properties. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 16 (2):143-151.
- Kukkonen, I. T., Peltoniemi, S. (1998) Relationships between thermal and other petrophysical properties of rocks in Finland. Physics and Chemistry of the Earth 23(3):341-349. https://doi.org/10.1016/S0079-1946(98)00035-4
- Latha, P. K., Darshana, Y., Venugopal, V. (2015) Role of building material in thermal comfort in tropical climates-A review. Journal of Building Engineering 3:104-113. https://doi.org/10.1016/j.jobe.2015.06.003
- Liu, S., Feng, C., Wang, L., Li, C. (2011) Measurement and analysis of thermal conductivity of rocks in the Tarim Basin, Northwest China. Acta Geologica Sinica‐English Edition 85(3): 598-609. https://doi.org/10.1111/j.1755-6724.2011.00454.x
- Luo, J., Qiao, Y., Xiang, W., Rohn, J. (2020) Measurements and analysis of the thermal properties of a sedimentary succession in Yangtze plate in China. Renewable Energy 147: 2708-2723. https://doi.org/10.1016/j.renene.2018.09.088
- Martínez-Molina, A., Tort-Ausina, I., Cho, S., Vivancos, J. L. (2016) Energy efficiency and thermal comfort in historic buildings: A review. Renewable and Sustainable Energy Reviews 61:70- 85. http://dx.doi.org/10.1016/j.rser.2016.03.018
- Nelson, R. S., Corbett, R. G. (2000) Rock-density exercises for introductory-level college courses. Journal of Geoscience Education 48:400-442. http://dx.doi.org/10.5408/1089-9995-48.4.440
- Nuszkowski, J. P., Hudyma, N. W., Polito, M. (2018) Thermal Conductivity Measurements of Weathered Limestone. In IFCEE 389-398. http://dx.doi.org/10.1061/9780784481585.038
- Özkahraman, H. T., Selver, R., Işık, E. C. (2004) Determination of the thermal conductivity of rock from P-wave velocity. International Journal of Rock Mechanics and Mining Sciences 41(4):703-708. http://dx.doi.org/10.1016/j.ijrmms.2004.01.002
- Popov, E., Popov, Y., Chekhonin, E., Safonov, S., Savelev, E., Gurbatova, I., Ursegov, S. Shakirov, A. (2020) Thermal core profiling as a novel and accurate method for efficient characterization of oil reservoirs. Journal of Petroleum Science and Engineering 193:1-14. https://doi.org/10.1016/j.petrol.2020.107384
- Rao, S. E., Ray, L., Khan, T., Ravi, G. (2022) Thermal conductivity, density and porosity of sedimentary and metamorphic rocks from the Lower and Higher Himalaya, Western Himalaya, India. Geophysical Journal International 231(1): 459-473.
- Robertson, E. C. (1988) Thermal properties of rocks (No. 88-441). US Geological Survey 10-30. https://doi.org/10.3133/ofr88441
- Roy, A., Chakrabarti, G., Shome, D. (2018) Geochemistry of the Neoproterozoic Narji limestone, Cuddapah Basin, Andhra Pradesh, India: implication on palaeoenvironment. Arabian Journal of Geosciences 11:1-13. https://doi.org/10.1007/s12517-018-4135-9
- Saadat, S., Ghoorchi, M., Dabiri, R. (2023) Extracting clay minerals with emphasis on Bentonite in Eastern Iran, using Landsat 8 and ASTER images. Iranian Journal of Earth Sciences 15(3):188-194. DOI: https://doi.org/10.30495/ijes.2023.1973739.1815
- Sharo, A. A., Rabab’ah, S. R., Taamneh, M. O., Aldeeky, H., Al Akhrass, H. (2022) Mathematical modelling for predicting thermal properties of selected limestone. Buildings 12(12):1-17. https://doi.org/10.3390/buildings12122063
- Tang, B., Zhu, C., Xu, M., Chen, T., Hu, S. (2019) Thermal conductivity of sedimentary rocks in the Sichuan basin, Southwest China. Energy Exploration & Exploitation 37(2):691-720. https://doi.org/10.1177/0144598718804902
- Xiong, J., Lin, H., Ding, H., Pei, H., Rong, C., Liao, W. (2020) Investigation on thermal property parameters characteristics of rocks and its influence factors. Natural Gas Industry B 7(3):298-308. https://doi.org/10.1016/j.ngib.2020.04.001
- Yaşar, E., Erdoğan, Y., Güneyli, H. (2008) Determination of the thermal conductivity from physico-mechanical properties. Bulletin of Engineering Geology and the Environment 67:219-225. http://dx.doi.org/10.1007/s10064-008-0126-5
- Yüksel, N. (2016) The review of some commonly used methods and techniques to measure the thermal conductivity of insulation materials. Insulation Materials in Context of Sustainability, InTech 113-140. http://dx.doi.org/10.5772/64157
- Zachariah, J. K., Rao, Y. B., Srinivasan, R., Gopalan, K. (1999) Pb, Sr and Nd isotope systematics of uranium mineralised stromatolitic dolomites from the Proterozoic Cuddapah Supergroup, south India: constraints on age and provenance. Chemical Geology 162(1):49-64. http://doi.org/10.1016/S0009-2541(99)00100-X
- Zhang, D., Li, Z., Zhou, J., Wu, K. (2004) Development of thermal energy storage concrete. Cement and concrete research 34(6):927-934. http://dx.doi.org/10.1016/j.cemconres.2003.10.022
10.57647/j.ijes.2025.16787