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Application of an expert system to predict thermal conductivity of rocks

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Abstract

In this paper, an attempt has been made to predict the thermal conductivity (TC) of rocks by incorporating uniaxial compressive strength, density, porosity, and P-wave velocity using support vector machine (SVM). Training of the SVM network was carried out using 102 experimental data sets of various rocks, whereas 25 new data sets were used for the testing of the TC by SVM model. Multivariate regression analysis (MVRA) has also been carried out with same data sets that were used for the training of SVM model. SVM and MVRA results were compared based on coefficient of determination (CoD) and mean absolute error (MAE) between experimental and predicted values of TC. It was found that CoD between measured and predicted values of TC by SVM and MVRA was 0.994 and 0.918, respectively, whereas MAE was 0.0453 and 0.2085 for SVM and MVRA, respectively.

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References

  1. Aurangzeb, Maqsood A (2007) Modeling of the effective thermal conductivity of consolidated porous media with different saturants: a test case of gabbro rocks. Int J Thermophys 28(4):1371–1386

    Article  Google Scholar 

  2. Canakcı H, Demirboga R, Karakoc BM, Sirin O (2007) Thermal conductivity of limestone from Gaziantep (Turkey). Build Environ 42:1777–1782

    Article  Google Scholar 

  3. Clauser C, Huenges E (1995) Thermal conductivity of rocks and minerals. In: Ahrens TJ (Ed) Rock physics and phase relations: a handbook of physical constants. American Geophysical Union, Washington, DC, pp 105–126

  4. Cristianini N, Shawe-Taylor NJ (2000) An introduction to support vector machines. Cambridge University Press, Cambridge

    Google Scholar 

  5. Demirci A, Gorgulu K, Duruturk YS (2004) Thermal conductivity of rocks and its variation with uniaxial and triaxial stress. Int J Rock Mech Min Sci 41:1133–1138

    Article  Google Scholar 

  6. Gorgulu K (2004) Determination of relationships between thermal conductivity and material properties of rocks. J Univ Sci Technol Beijing 11:297

    Google Scholar 

  7. Harmathy TZ (1970) Thermal properties of concrete at elevated temperatures. J Mater 5:47–74

    Google Scholar 

  8. Hasan A (1999) Optimising insulation thickness for buildings using life cycle cost. Appl Energy 63:115–124

    Article  Google Scholar 

  9. Incropera FP, Dewitt DP (1990) Fundamentals of heat and mass transfer. Wiley, New York

    Google Scholar 

  10. John CP (1998) Sequential minimal optimization: a fast algorithm for training support vector machines, Technical report, MSR-TR-98-14

  11. Khandelwal M (2010a) Prediction of thermal conductivity of rocks by soft computing, Int J Earth Sci (online published), doi:10.1007/s00531-010-0550-1

  12. Khandelwal M (2010b) Evaluation and prediction of blast induced ground vibration using support vector machine. Int J Rock Mech Min Sci 47(3):509–516

    Article  Google Scholar 

  13. Khandelwal M (2010c) Blast-induced ground vibration prediction using support vector machine, Engineering with Computers (online published). doi:10.1007/s00366-010-0190-x

  14. Khandelwal M, Kankar PK (2009) Prediction of blast-induced air overpressure using support vector machine. Arab J Geosci (online published). doi:10.1007/s12517-009-0092-7

  15. Muller KR, Smola JA, Scholkopf B (1997) Prediction time series with support vector machines. In: Proceedings of international conference artificial neural networks, Lausanne, Switzerland, pp 999–1004

  16. Ozkahraman HT, Selver R, Isik EC (2004) Determination of the thermal conductivity of rock from P-wave velocity. Int J Rock Mech Min Sci 41:703–708

    Article  Google Scholar 

  17. Schmidt M (1996) Identifying speaker with support vector networks. In: Interface, ‘96 Proceedings, Sydney

  18. Scholkopf B, Burges C, Vapnik V (1995) Extracting support data for a given task. In: Proceedings of first international conference knowledge discovery and data mining. AAAI Press, Menlo Park

  19. Singh TN, Sinha S, Singh VK (2007) Prediction of thermal conductivity of rock through physico-mechanical properties. Build Environ 42:146–155

    Article  Google Scholar 

  20. Troschke B, Burkhardt H (1998) Thermal conductivity models for two-phase systems. Phys Chem Earth 23(3):351–355

    Article  Google Scholar 

  21. Vapnik VN (1998) Statistical learning theory. Wiley, New York

    MATH  Google Scholar 

  22. Verma BP (2000) Rock mechanics for engineers. Khanna Publishers, New Delhi, p 108

    Google Scholar 

  23. Witten IH, Frank E (2005) Data mining: practical machine learning tools and techniques, 2nd edn. Morgan Kaufmann, San Francisco

    MATH  Google Scholar 

  24. Yasar E, Erdogan Y (2008) Strength and thermal conductivity in lightweight building materials. Bull Eng Geol Environ 67:513–519

    Article  Google Scholar 

  25. Yasar E, Erdogan Y, Guneyli H (2008) Determination of thermal conductivity from physico-mechanical properties. Bull Eng Geol Environ 67:219–225

    Article  Google Scholar 

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Correspondence to Manoj Khandelwal.

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Khandelwal, M. Application of an expert system to predict thermal conductivity of rocks. Neural Comput & Applic 21, 1341–1347 (2012). https://doi.org/10.1007/s00521-011-0573-y

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  • DOI: https://doi.org/10.1007/s00521-011-0573-y

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