Abstract
The characteristics of the particle size distribution (PSD) are an important reflection of energy consumption during rock drilling and drilling efficiency. A new approach incorporating both fine and coarse fractions of the PSD to supplement the typical approach of merely utilizing D50 (50% passing diameter) to index drilling resistance and efficiency is reported in this paper. A series of drilling experiments are conducted on limestone with variable rotation rate and with measured response of both penetration rate and PSD. The PSD organizes into a bimodal distribution with two distinct peaks corresponding to fine (Peak I) and coarse (Peak II) fractions. The mean size of Peak I is mainly conditioned by the rock property and the contact angle of the drilling tool. Peak II results from the effects of grinding and comminution and is conditioned by operational drilling parameters of rotation speed and the penetration rate of the bit. With an increase in bit penetration rate, the mean particle size of Peak II increases and its volume percentage decreases. With an increase in rotation rate, the mean particle size of Peak II initially decreases before slightly increasing at higher rates, while sympathetically, its volume percentage initially increases before decreasing. Such mechanistic analyses applied to define the resulting form of the PSD suggest operational changes that may be used to control the resulting PSD and optimize drilling.
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References
Abrams A (1977) Mud design to minimize rock impairment due to particle invasion. J Pet Technol 29:586–592. https://doi.org/10.2118/5713-pa
Beste U, Hartzell T, Engqvist H, Axén N (2001) Surface damage on cemented carbide rock-drill buttons. Wear 249:324–329. https://doi.org/10.1016/S0043-1648(01)00553-1
Beste U, Coronel E, Jacobson S (2006) Wear induced material modifications of cemented carbide rock drill buttons. Int J Refract Metal Hard Mater 24:168–176. https://doi.org/10.1016/j.ijrmhm.2005.05.003
Bondarenko P, Andreyev V, Savchuk V, Matviichuk O, Ievdokymova V, Galkov V (2013) Recent researches on the metal–ceramic composites based on the decamicron-grained WC. Int J Refract Metal Hard Mater 39:18–31. https://doi.org/10.1016/j.ijrmhm.2013.01.018
Che D, Han P, Guo P, Ehmann K (2012a) Issues in polycrystalline diamond compact cutter–rock Interaction from a metal machining point of view—part I: temperature, stresses, and forces. J Manuf Sci Eng. https://doi.org/10.1115/1.4007468
Che D, Han P, Guo P, Ehmann K (2012b) Issues in polycrystalline diamond compact cutter–rock Interaction from a metal machining point of view—part II: bit performance and rock cutting mechanics. J Manuf Sci Eng. https://doi.org/10.1115/1.4007623
Che D, Zhu W, Ehmann F (2016) Chipping and crushing mechanisms in orthogonal rock cutting. Int J Mech Sci 119:224–236. https://doi.org/10.1016/j.ijmecsci.2016.10.020
Chen L, Labuz F (2006) Indentation of rock by wedge-shaped tools. Int J Rock Mech Min Sci 4:1023–1033. https://doi.org/10.1016/j.ijrmms.2006.03.005
Ciccu R, Grosso B (2013) Improvement of disc cutter performance by water jet assistance. Rock Mech Rock Eng 47:733–744. https://doi.org/10.1007/s00603-013-0433-4
Ersoy A, Waller D (1997) Drilling detritus and the operating parameters of thermally stable PDC core bits. Int J Rock Mech Min Sci 34:1109–1123. https://doi.org/10.1016/s1365-1609(97)90203-3
Gamwo K, Kabir A (2015) Impact of drilling fluid rheology and wellbore pressure on rock cuttings removal performance: numerical investigation. Asia-Pac J Chem Eng 10:809–822. https://doi.org/10.1002/apj.1917
Hood M, Alehossein H (2000) A development in rock cutting technology. Int J Rock Mech Min Sci 37:297–305. https://doi.org/10.1016/S1365-1609(99)00107-0
Huang H (1999) Discrete element modeling of rock-tool interaction. PhD thesis, University of Minnesota
Jimeno E, Jimeno C, Carcedo F (1995) Drilling and blasting of rocks. CRC Press, Boca Raton
Kwon K, Song C, Park J, Oh J, Lee J, Cho J (2014) Evaluation of drilling efficiency by percussion testing of a drill bit with new button arrangement. Int J Precis Eng Manuf 15:1063–1068. https://doi.org/10.1007/s12541-014-0437-3
Li Z, Itakura K (2012) An analytical drilling model of drag bits for evaluation of rock strength. Soils Found 52:216–227. https://doi.org/10.1016/j.sandf.2012.02.002
Lou L, Wu W, Liang X (2016) Analysis of the cutting features of the damaged rock by shock disturbance. Open Pet Eng J 9:159–168. https://doi.org/10.2174/1874834101609160159
Ma T, Chen P, Zhao J (2016) Overview on vertical and directional drilling technologies for the exploration and exploitation of deep petroleum resources. Geomech Geophys Geo-Energy Geo-Resour 2:365–395. https://doi.org/10.1007/s40948-016-0038-y
Martins S (2016) Size-energy relationship in comminution, incorporating scaling laws and heat. Int J Miner Process 153:29–43. https://doi.org/10.1016/j.minpro.2016.05.020
Miller D (1986) Rock drilling with impregnated diamond bits. PhD thesis, University of Cape Town, Cape Town, South Africa
Peysson Y (2004) Solid/liquid dispersions in drilling and production. Oil Gas Sci Technol-Revue D Ifp Energies Nouvelles 59:11–22. https://doi.org/10.2516/ogst:2004002
Pfleider E, Blake R (1953) Research on the cutting action of the diamond drill bit. Min Eng 5:187–195
Rahimi R, Nygaard R (2018) Effect of rock strength variation on the estimated borehole breakout using shear failure criteria. Geomech Geophys Geo-Energy Geo-Resour 4:369–382. https://doi.org/10.1007/s40948-018-0093-7
Ren X, Miao H, Peng Z (2013) A review of cemented carbides for rock drilling: an old but still tough challenge in geo-engineering. Int J Refract Metal Hard Mater 39:61–77. https://doi.org/10.1016/j.ijrmhm.2013.01.003
Thomas A, Filippov O (1999) Fractures, fractals and breakage energy of mineral particles. Int J Miner Process 57:285–301. https://doi.org/10.1016/S0301-7516(99)00029-0
Tuomas K, Pekka S, Päivi K, Jari L (2006) Impact wear in mineral crushing. Proc Est Acad Sci 12:408–418
Vogt D (2016) A review of rock cutting for underground mining: past, present, and future. J South Afr Inst Min Metall 116:1011–1026. https://doi.org/10.17159/2411-9717/2016/v116n11a3
Weichert R (1991) Theoretical prediction of energy-consumption and particle-size distribution in grinding and drilling of brittle materials. Part Part Syst Charact 8:55–62. https://doi.org/10.1002/ppsc.19910080111
Wu J, Han D (2009) A new approach to predicting the maximum temperature in dry drilling based on a finite element model. J Manuf Process 11:19–30. https://doi.org/10.1016/j.jmapro.2009.07.001
Yang X, Wu S, Kang Y, Wang X, Xia R (2014) Pitting mechanism of cemented carbide tool in the early stage of rock drilling. Int J Refract Metal Hard Mater 42:103–107. https://doi.org/10.1016/j.ijrmhm.2013.08.009
Zhang Y, Zhao G (2020) A global review of deep geothermal energy exploration: from a view of rock mechanics and engineering. Geomech Geophys Geo-Energy Geo-Resour 6:4. https://doi.org/10.1007/s40948-019-00126-z
Zhao X, Yao X, Gong Q, Ma H, Li X (2015) Comparison study on rock crack pattern under a single normal and inclined disc cutter by linear cutting experiments. Tunn Undergr Space Technol 50:479–489. https://doi.org/10.1016/j.tust.2015.09.002
Acknowledgements
This work is supported by National Natural Science Foundation of China (Nos. 51674122 and 51874310).
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Yang, X., Elsworth, D., Zhou, J. et al. A new approach to evaluate the particle size distribution from rock drilling: double peak characteristic analysis. Geomech. Geophys. Geo-energ. Geo-resour. 6, 38 (2020). https://doi.org/10.1007/s40948-020-00161-1
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DOI: https://doi.org/10.1007/s40948-020-00161-1