Abstract
Practice of rock drilling with tricone roller bits, which are extensively used in surface mines, needs proper modes of descriptive statistics for predicting the failure rates of its different sub-assembled components. The statistical models for drilling with tricone roller bits are investigated in this article and probability of the non-failure operation is calculated. The interdependency of different component failures is examined by 3D contour plot. The failure rate of the components observed is found not significantly different at 95% contour. In such condition, the reliability is best modelled by Mixed Weibull technique.
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References
Beste Ulrik, On the Nature of Cemented Carbide Wear in Rock Drilling, Dissertation, Acta Universitatis Upsaliensis, 2004.
Gokhale Bhalchandra, V., Rotary Drilling and Blasting in Large Surface Mines, CRC Press, 2010.
Jimeno, E.L., Jimino, C.L., and Carcedo, A., Drilling and Blasting of Rocks, CRC Press, 1995.
Ren, X., Miao, H., and Peng, Z., A Review of Cemented Carbides for Rock Drilling: An Old but Still Tough Challenge in Geo-Engineering, Int. J. of Refractory Metals and Hard Materials, 2013, vol. 39, pp. 61–77.
Voinov, O.V. and Reutov, V.A., Drill Bit Operation in an Anisotropic Rock, J. Min. Sci., 1991, vol. 27, no. 2, pp. 138–146.
Oparin, V.N., Timonin, V.V., and Karpov, V.N., Quantitative Estimate of Rotary-Percussion Drilling Efficiency in Rocks, J. Min. Sci., 2016, vol. 52, no. 6, pp. 1100–1111.
Larsen-Basse, J., Perrott, C.M., and Robinson, P.M., Abrasive Wear of Tungsten Carbide—Cobalt Composites. I. Rotary Drilling Tests, Materials Science and Engineering, 1974, vol. 13, no. 2, pp. 83–91.
Stjernberg, K.G., Fischer, U., and Hugoson, N.I., Wear Mechanisms Due to Different Rock Drilling Conditions, Powder Metallurgy, 1975, vol. 18, no. 35, pp. 89–106.
Beste, U. and Jacobson, S., A New View of the Deterioration and Wear of WC/Co Cemented Carbide Rock Drill Buttons, Wear, 2008, vol. 264, no. 11–12, pp. 1129–1141.
Larsen-Basse, J., Effect of Composition, Microstructure, and Service Conditions on the Wear of Cemented Carbides, JOM, 1983, vol. 35, no. 11, pp. 35–42.
McGehee, D.Y., et al., The IADC Roller Bit Classification System, SPE/IADC Drilling Conference, Society of Petroleum Engineers, 1992.
Pulido, J., Life Data Analysis Using the Competing Failure Modes Technique, Reliability and Maintainability Symposium (RAMS), 2015, Annual, IEEE, 2015.
Elmahdy, E.E., A New Approach for Weibull Modeling for Reliability Life Data Analysis, Applied Mathematics and Computation, 2018, vol. 250, pp. 708–720.
Garakavi, A.L., Manevich, I.Z., and Merkin, V.E., Technological Reliability and Its Safeguards in Mining Operations, Soviet Mining, 1984, vol. 20, no. 6, pp. 456–462.
Nelson Wayne, B., Applied Life Data Analysis, John Wiley & Sons, 2005.
Julio, P., Klinge, J., and Hill, W., Life Data Analysis with Applications to Aircraft Modeling, Reliability and Maintainability Symposium (RAMS), Annual, IEEE, 2017.
Kogan, B.I., Production Methods for Improving the Life of Mining Equipment and Tools, J. Min. Sci., 1993, vol. 29, no. 5, pp. 425–433.
Kulishenko, I.I., Kovalev, V.I., Vasil’chenko, V.F., and Sologub, S.Y., The Optimum Bit Geometry for Rotary Drilling of Boreholes in Hard Rocks, Soviet Mining, 1976, vol. 12, no. 6, pp. 612–614.
Katanov, B.A. and Markov, G.F., Influence of Cutter Arrangement on Drill Bit Efficiency, Soviet Mining, 1976, vol. 12, no. 3, pp. 314–318.
Ulusay Resat, The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring, 2007–2014, Springer, 2014.
James, G., Witten, D., Hastie, T., and Tibshirani, R., An Introduction to Statistical Learning, NY: Springer, 2013.
Kahraman, S., Evaluation of Simple Methods for Assessing the Uniaxial Compressive Strength of Rock, Int. J. Rock Mech. Min. Sci., 2001, vol. 38, no. 7, pp. 981–994.
Kececioglu, D., Reliability and Life Testing Handbook, 1993, vol. I.
Hirose, H., Maximum Likelihood Estimation in the 3-Parameter Weibull Distribution. A Look Through the Generalized Extreme-Value Distribution, IEEE Transactions on Dielectrics and Electrical Insulation, 1996, vol. 3, no. 1, pp. 43–55.
Yang, G., Life Cycle Reliability Engineering, John Wiley & Sons, 2007.
Leemis, L.M., Reliability: Probabilistic Models and Statistical Methods, Prentice-Hall, Inc., 1995.
Kececioglu, D., Reliability and Life Testing Handbook, DEStech Publications, Inc., 2002, vol. 2.
ReliaSoft Corporation, Life Data Analysis Reference, Tools to Empower Reliab. Prof., 2015.
Butorin, Y.M. and Gavrilenko, V.A., Some Aspects of the Reliability of Drilling Equipment, Soviet Mining, 1976, vol. 72, no. 1, pp. 62–65.
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The authors are thankful for the Department of Mining Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, India, for their help in performing the rock test.
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Published in Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2018, No. 5, pp. 68–77.
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Prakash, S., Mukhopadhyay, A.K. A Mixed Weibull Method for Reliability Analysis of Tricone Roller Bits in Blasthole Drilling. J Min Sci 54, 763–772 (2018). https://doi.org/10.1134/S1062739118054868
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DOI: https://doi.org/10.1134/S1062739118054868