Rock-Cutting Mechanics Model and Its Application Based on Slip-Line Theory
Publication: International Journal of Geomechanics
Volume 18, Issue 5
Abstract
Rock mechanics parameters for underground engineering cannot be rapidly or comprehensively tested on site; thus, this article presents a method for determining rock mechanics parameters using drilling parameters obtained during a field drilling experiment. Based on the rock fracture characteristics, a rock-cutting mechanical model was developed that does not assume a damaged rock surface. In this model, the ultimate load of the rock under an oblique cutting force is derived based on slip-line theory. The relationship between the cutting torque and the rock mechanics parameters (hereafter referred to as the CT-R relationship) is then obtained. The results of laboratory tests were compared with theoretical analysis, and the mean deviation ξ was 16.8%, verifying the rationality of the rock-cutting mechanical model and the CT-RP relationship. The CT-RP relationship established in this article can provide a theoretical basis for the inversion of the rock mechanics parameters by the drilling parameters.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the Natural Science Foundation of China (Grants 51674154 and 51704125), the China Postdoctoral Science Foundation (Grants 2016M590150, 2016M602144, and 2017T100491), and the Natural Science Foundation of Shandong Province, China (Grants 2017GGC30101, and ZR2017QEE013). The authors of this article are so grateful to the anonymous reviewers for their valuable comments and modification suggestions for the improvement of this paper.
References
Aalizad, S. A., and Rashidinejad, F. (2012). “Prediction of penetration rate of rotary-percussive drilling using artificial neural networks—A case study.” Arch. Min. Sci., 57(3), 715–728.
Akin, S., and Karpuz, C. (2008). “Estimating drilling parameters for diamond bit drilling operations using artificial neural networks.” Int. J. Geomech., 68–73.
Berry, P. M. (1966). “Rock penetration at oblique incidence by a yawed bit tooth.” Proc., 1st Congress of the International Society for Rock Mechanics, Vol. 2, Laboratório Nacional de Engenharia Civil, Lisbon, Portugal, 115–118.
Cascone, E., and Casablanca, O. (2016). “Static and seismic bearing capacity of shallow strip footings.” Soil Dyn. Earthquake Eng., 84, 204–223.
Chen, J., and Yue, Z. Q. (2015). “Ground characterization using breaking-action-based zoning analysis of rotary-percussive instrumented drilling.” Int. J. Rock Mech. Min. Sci., 75, 33–43.
Cheng, Y. M. (2003). “Seismic lateral earth pressure coefficients by slip line method.” Comput. Geotech., 30(8), 661–670.
Cheng, Y. M., and Au, S. K. (2005). “Solution of the bearing capacity problem by the slip line method.” Can. Geotech. J., 42, 1232–1241.
Dong, Q., and Liu, D. Y. (2007). “Discussion on the upper-bound solution of homogeneous soil slope stability.” J. Highway Transp. Res. Dev., 24(6), 8–11 (in Chinese).
Gerbaud, L., Menand, S., and Sellami, H. (2006). “PDC bits: All comes from the cutter/rock interaction.” Proc. IADC/SPE Drilling Conf., Society of Petroleum Engineers, Richardson, TX.
Gnirk, P., and Cheatham, J., Jr. (1969). “A theoretical description of rotary drilling for idealized downhole bit/rock conditions.” Soc. Pet. Eng. J., 9(4), 443–450.
Gui, M. W., Soga, K., Bolton, M. D., and Hamelin, J. P. (2002). “Instrumented borehole drilling for subsurface investigation.” J. Geotech. Geoenviron. Eng., 283–291.
Huang, H., Lecampion, B., and Detournay, E. (2013). “Discrete element modeling of tool-rock interaction I: Rock cutting.” Int. J. Numer. Anal. Methods Geomech., 37(13), 1913–1929.
Jaime, M. C., Zhou, Y., Lin, J.-S., and Gamwo, I. K. (2015). “Finite element modeling of rock cutting and its fragmentation process.” Int. J. Rock Mech. Min. Sci., 80, 137–146.
Jeldes, I. A., Vence, N. E., and Drumm, E. C. (2015). “Approximate solution to the Sokolovskiĭ concave slope at limiting equilibrium.” Int. J. Geomech., 04014049.
Kahraman, S., Bilgin, N., and Feridunoglu, C. (2003). “Dominant rock properties affecting the penetration rate of percussive drills.” Int. J. Rock Mech. Min. Sci., 40(5), 711–723.
Karasawa, H., Ohno, T., Kosugi, M., and Rowley, J. C. (2002). “Methods to estimate the rock strength and tooth wear while drilling with roller-bits—Part 1: Milled-tooth bits.” J. Energy Resour. Technol, 124(3), 125–132.
Li, P., et al. (2017). “Design and testing of coring bits on drilling lunar rock simulant.” Adv. Space Res., 59(4), 1057–1076.
Ma, Q. M., and Wang, R. H. (2006). “Experimental study on force of PDC cutter breaking rock.” J. Chin. Univ. Pet., 30(2), 45–58 (in Chinese).
Meyerhof, G. G. (1951). “The ultimate bearing capacity of foundations.” Géotechnique, 2(4), 301–332.
Mostofi, M., Rasouli, V., and Mawuli, E. (2011). “An estimation of rock strength using a drilling performance model: A case study in Blacktip Field, Australia.” Rock Mech. Rock Eng., 44(3), 305–316.
Nishimatsu, Y. (1972). “The mechanics of rock cutting.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 9(2), 261–270.
Peng, M. X. (2011). “Slip-line solution to passive earth pressure on retaining walls.” Chin. J. Geotech. Eng., 33(3), 460–469 (in Chinese).
Peng, M. X., and Chen, J. (2013). “Slip-line solution to active earth pressure on retaining walls.” Géotechnique, 63(12), 1008–1019.
Pryhorovska, T. O., Chaplinskiy, S. S., and Kudriavtsev, I. O. (2015). “Finite element modelling of rock mass cutting by cutters for PDC drill bits.” Pet. Explor. Dev., 42(6), 888–892.
Richard, T. (1999). “Determination of rock strength from cutting tests.” M.S. thesis, Univ. of Minnesota, Minneapolis.
Sokolovskiĭ, V. V. (1965). Statics of granular media, Pergamon, Oxford, U.K.
Somerton, W. H. (1959). “A laboratory study of rock breakage by rotary drilling.” Pet. Trans. AIME, 216, 92–97.
Teale, R. (1965). “The concept of specific energy in rock drilling.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr, 2(1), 57–73.
Warren, T. M., and Sinor, A. (1989). “Drag-bit performance modeling.” SPE Drill. Eng., 4(2), 119–127.
Yang, M. C., and Zheng, Y. R. (2001). “The analytical expression of non-characteristic line stress boundary condition in the slip line field theory for geotechnical materials.” Rock Soil Mech., 22(4), 395–398 (in Chinese).
Yaşar, E., Ranjith, P. G., and Viete, D. R. (2011). “An experimental investigation into the drilling and physico-mechanical properties of a rock-like brittle material.” J. Pet. Sci. Eng., 76(3–4), 185–193.
Zhou, Y., and Lin, J. (2013). “On the critical failure mode transition depth for rock cutting.” Int. J. Rock Mech. Min. Sci., 62, 131–137.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 18 • Issue 5 • May 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Mar 2, 2017
Accepted: Nov 13, 2017
Published online: Mar 9, 2018
Published in print: May 1, 2018
Discussion open until: Aug 9, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.