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A New Approach of Rock Cutting Efficiency Evaluation by using Plastic Energy Dissipation Ratio

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KSCE Journal of Civil Engineering Aims and scope

Abstract

Polycrystalline Diamond Compact (PDC) bit is extensively used in oil & gas drilling, the rock cutting efficiency of PDC cutter directly determines the drilling efficiency and costs. Hence, it is crucial to evaluate the rock cutting efficiency of PDC cutters. The Mechanical Specific Energy (MSE) is used as an index for long periods of time to evaluate the rock cutting efficiency, however, the energy dissipation in rock breaking cannot be further calculated in details, leading to inaccuracy. To address this problem, the new concept of Plastic Energy Dissipation Ratio (PEDR) and its model are presented, a new approach for rock cutting efficiency evaluation by using PEDR is also put forward. Compared with MSE, the PEDR can determine the Optimum Depth of Cut (DOC) under various conditions. The theoretical analysis shows that the critical DOC, governing the transition of ductile to brittle failure mode, is the optimal cutting depth, having the smallest PEDR and highest rock cutting efficiency. The test and simulation of rock cutting are carried out to verify the PEDR model, and the PEDR under different DOC, cutting velocities and rake angles are depicted and discussed. The results can provide a theoretical basis for the design of PDC cutter and optimization of drilling parameters.

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References

  • Akbari, B. (2011). Polycrystalline diamond compact bit-rock interaction, Memorial University of Newfoundland.

    Google Scholar 

  • Akbari, B., Miska, S., Yu, M., and Ozbayoglu, E. (2014a). Relation between the mechanical specific energy, cuttings morphology, and PDC cutter geometry, ASME Paper No. OMAE2014-24708, pp. V005T11A038, DOI: 10.1115/OMAE2014-24708.

    Book  Google Scholar 

  • Akbari, B., Miska, S. Z., Yu, M., and Rahmani, R. (2014b). “The effects of size, chamfer geometry, and back rake angle on frictional response of PDC cutters.” 48 th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, ARMA 14–7458, Minneapolis, MN, USA.

    Google Scholar 

  • Altindag, R. (2003). “Correlation of specific energy with rock brittleness concepts on rock cutting.” Journal of the South African Institute of Mining and Metallurgy, Vol. 103, No. 3, pp.163–171.

    Google Scholar 

  • Arcona, C. and Dow, T. A. (1998). “An empirical tool force model for precision machining.” Journal of Manufacturing Science and Engineering, Vol. 120, No. 4, pp. 700–707, DOI: 10.1115/1.2830209.

    Article  Google Scholar 

  • Atici, U. and Ersoy, A. (2009). “Correlation of specific energy of cutting saws and drilling bits with rock brittleness and destruction energy.” Journal of Materials Processing Technology, Vol. 209, No. 5, pp. 2602–2612, DOI: 10.1016/j.jmatprotec.2008.06.004.

    Article  Google Scholar 

  • Bifano, T. G., Dow, T. A., and Scattergood, R. O. (1991). “Ductileregime grinding: a new technology for machining brittle materials.” Journal of Manufacturing Science and Engineering, Vol. 113, No. 2, pp. 184–189, DOI: 10.1115/1.2899676.

    Google Scholar 

  • Bilgesu, I., Sunal, O., Tulu, I. B., Heasley, K. A. (2008). “Modeling rock and drill cutter behavior.” 42nd US Rock Mechanics Symposium & 2nd US-Canada Rock Mechanics Symposium, San Francisco, CA, USA.

    Google Scholar 

  • Carrapatoso, C., Fontoura, S. A. B., Martinez, I. M. R., Inoue, N., Lourenço, A., and Curry, D. (2013). “Simulation of single cutter experiments in evaporite through discrete element method.” In ISRM Internation Symposium - EUROCK 2013, International Society for Rook Mechanics and Rook Engineering, Wroclaw, Poland.

    Google Scholar 

  • Chen, S., Grosz, G., Anderle, S., Arfele, R., and Xun, K. (2015). “The role of rock-chip removals and cutting-area shapes in polycrystallinediamond-compact-bit design optimization.” SPE Drilling & Completion, SPE 171833, DOI: 10.2118/17183 3-PA.

    Google Scholar 

  • Detournay, E. and Tan, C. P. (2002). “Dependence of drilling specific energy on bottom-hole pressure in shales.” SPE/ISRM Rock Mechanics Conference, Society of Petroleum Engineers, SPE/ISRM 78221, DOI: 10.2118/78221-MS.

    Google Scholar 

  • Itasca, C.G. (2002). Users’ manual for particle flow code in 2 dimensions (PFC2D), Minneapolis, Minnesota, USA.

    Google Scholar 

  • Karekal, S. (2012). “Modeling Rock chipping process in linear drag cutting mode.” ISRM International Symposium - EUROCK 2012, International Society for Rock Mechanics, Stockholm, Sweden.

    Google Scholar 

  • Liu, W., Zhu, X., and Jing, J. (2018). “The analysis of ductile-brittle failure mode transition in rock cutting.” Journal of Petroleum Science and Engineering, Vol. 163, pp. 311–319, DOI: 10.1016/j.petrol.2017.12.067.

    Article  Google Scholar 

  • Marshail, D. B. (1983). “Geometrical effects in elastic/plastic indentation.” Journal of the American Ceramic Society, Vol. 67, No. 1, pp. 57–60, DOI: 10.1111/j.1151-2916.1984.tb19148.x.

    Article  Google Scholar 

  • Mendoza, R. J. A. (2010). Modeling rock cutting using DEM with crushable particles, PhD Thesis, University of Pittsburgh, Pittsburgh, PA, USA.

    Google Scholar 

  • Mendoza, R. J. A. (2013). Considerations for discrete element modeling of rock cutting, PhD Thesis, University of Pittsburgh, Pittsburgh, PA, USA.

    Google Scholar 

  • Mendoza, J. A., Gamwo, I. K., Zhang, W., and Lin, J. S. (2013b). “Considerations for discrete modeling of rock cutting.” 45th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, ARMA-11-210, San Francisco, CA, USA.

    Google Scholar 

  • Menezes, P. L., Lovell, M. R., Avdeev, I. V., and Higgs, C. F. (2014a). “Studies on the formation of discontinuous rock fragments during cutting operation.” International Journal of Rock Mechanics and Mining Sciences, Vol. 71, pp. 131–142, DOI: 10.1016/j.ijrmms.2014.03.019.

    Article  Google Scholar 

  • Menezes, P. L., Lovell, M. R., Avdeev, I. V., and Higgs, C. F. (2014b). “Studies on the formation of discontinuous chips during rock cutting using an explicit finite element model.” The International Journal of Advanced Manufacturing Technology, Vol. 70, Nos. 1–4, pp. 635–648, DOI: 10.1007/s00170-013-5309-y.

    Article  Google Scholar 

  • Menezes, P. L., Lovell, M. R., Lin, J. S., and III, C. F. H. (2009). “Finite Element modeling of discontinuous chip formation during rock cutting.” ASME/STLE 2009 International Joint Tribology Conference, American Society of Mechanical Engineers, pp. 463–465, DOI: 10.1115/IJTC2009-15197.

    Chapter  Google Scholar 

  • Munoz, H., Taheri, A., and Chanda, E. K. (2016). “Rock drilling performance evaluation by an energy dissipation based rock brittleness index.” Rock Mechanics and Rock Engineering, Vol. 49, No. 8, pp. 3343–3355, DOI: 10.1007/s00603-016-0986-0.

    Article  Google Scholar 

  • Pei, J. Y. (2012). “Interpretation of single cutter tests for rock mechanical properties.” 46th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, ARMA 12–142, Chicago, IL, USA.

    Google Scholar 

  • Rajabov, V., Miska, S. Z., Mortimer, L., Yu, M., and Ozbayoglu, M. E. (2012). “The effects of back rake and side rake angles on mechanical specific energy of single PDC cutters with selected rocks at varying depth of cuts and confining pressures.” IADC/SPE Drilling Conference and Exhibition, Society of Petroleum Engineers, DOI: 10.2118/151406-MS

    Google Scholar 

  • Reyes, M. I., Fontoura, S., Inoue, N., Carrapatoso, C., Lourenco, A., and Curry, D. (2013). “Simulation of single cutter experiments in evaporites through finite element method.” SPE/IADC Drilling Conference, Society of Petroleum Engineers, SPE/IADC 163504.

    Google Scholar 

  • Sunal, O. (2009). Parametric study of a single PDC cutter with a numerical model, MSc Thesis, West Virginia University, Morgantown, WV, USA.

    Google Scholar 

  • Teale, R. (1965). “The concept of specific energy in rock drilling.” International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 2, No. 1, pp. 57–73, DOI: 10.1016/0148-9062(65)90016-1.

    Article  Google Scholar 

  • Tulu, I. B. (2009a). Modeling PDC cutter rock interaction, MSc Thesis, West Virginia University, Morgantown, WV, USA.

    Google Scholar 

  • Tulu, I. B. and Heasley, K. A. (2009b). “Calibration of 3D cutter-rock model with single cutter tests.” 43rd US Rock Mechanics Symposium & 4th US-Canada Rock Mechanics Symposium, American Rock Mechanics Association, ARMA 09–160, Asheville, NC, USA.

    Google Scholar 

  • Zhang, Q. Q., Han, Z. N., Zhang, M. Q., and Zhang, J. G. (2015). “Prediction of tool forces in rock cutting using discrete element method.” Electronic Journal of Geotechnical Engineering, Vol. 20, No. 5, pp. 1607–1625.

    Google Scholar 

  • Zhao, D., Liu, J. Q., and Guo, W. (2012). “The simulation of cutter-rock interaction in PFC.” Applied Mechanics and Materials, Vols. 170–173, pp. 3385–3389, DOI: 10.4028/www.scientific.net/AMM.170-173.3385.

    Article  Google Scholar 

  • Zhou, Y. (2013b). Numerical modeling of rock drilling with finite elements, PhD Thesis, University of Pittsburgh, Pittsburgh, PA, USA.

    Google Scholar 

  • Zhou, Y. and Lin, J. S. (2013a). “On the critical failure mode transition depth for rock cutting.” International Journal of Rock Mechanics and Mining Sciences, Vol. 62, pp. 131–137, DOI: 10.1016/j.ijrmms.2013.05.004.

    Article  Google Scholar 

  • Zhou, Y. and Lin, J. S. (2014). “Modeling the ductile–brittle failure mode transition in rock cutting.” Engineering Fracture Mechanics, Vol. 127, pp. 135–147, DOI: 10.1016/j.engfracmech.2014.05.020.

    Article  Google Scholar 

  • Zhou, Y., Jaime, M. C., Gamwo, I. K., Zhang, W., and Lin, J. S. (2011). “Modeling groove cutting in rocks using finite elements.” 45th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, ARMA 11–209, San Francisco, CA, USA.

    Google Scholar 

  • Zhou, Y., Zhang, W., Gamwo, I. K., Lin, J. S., Eastman, H., Whipple, G., and Gill, M. (2012). “Mechanical specific energy versus depth of cut.” 46 th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, ARMA 12–622, Chicago, IL, USA.

    Google Scholar 

  • Zhu, X., Liu, W., and He, X. (2017). “The investigation of rock indentation simulation based on discrete element method.” KSCE Journal of Civil Engineering, Vol. 21, No. 4, pp. 1201–1212, DOI: 10.1007/s12205-016-0033-4.

    Article  Google Scholar 

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Correspondence to Xiaohua Zhu.

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Liu, W., Zhu, X. A New Approach of Rock Cutting Efficiency Evaluation by using Plastic Energy Dissipation Ratio. KSCE J Civ Eng 23, 879–888 (2019). https://doi.org/10.1007/s12205-018-0100-0

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  • DOI: https://doi.org/10.1007/s12205-018-0100-0

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