Use of the energy of parametric oscillations to improve drilling indices
V. Svitlytskyi1, P. Ohorodnikov2, Yu. Kovalchuk3
1Odessa National Academy of Food Technologies, Оdessa, Ukraine
2International Scientific-Technical University named after Academician Yuri Bugay, Kyiv, Ukraine
3Kyiv National University of Construction and Architecture, Kyiv, Ukraine
Min. miner. depos. 2018, 12(3):56-62
https://doi.org/10.15407/mining12.03.056 -->
Full text (PDF)
      ABSTRACT
      Purpose. Increase of the efficiency of using energy of parametric oscillations within the assembly of drilling string bottom by means of solving nonlinear-parametric equations of a “bit – drive motor – drilled-out rock” system to improve drilling indices.
      Methods. The paper applies the method of mathematical modeling of a mechanical system as well as impedance method to study oscillations. While modeling the system, a bit is considered to be an absolutely solid body; elastic elements are non-inertial, drive motor is ideal, and resistance in elastic relations is viscous. While modeling dynamic parameters of a drill string and its interaction with a near-bit system and bottom hole, mechanical system is represented in the form of blocks interacting with each other. Drill string in models is a sequential system of uniform rods.
      Findings. In the course of analytical studies, it has been proved that use of energy of parametric oscillations within the assembly of drilling string bottom makes it possible to increase axial load on a bit as well as rise mechanical velocity especially while drilling horizontal areas of inclined boreholes. Dynamic parameters of mechanical system of a drill string and its interaction with near-bit system and bottom hole have been substantiated. It has been determined that limitation of the amplitude of resonant vertical oscillations for a bit is possible at the expense of toothed surface of cone rollers in terms of periodical positioning from one tooth to two teeth, physical and mechanical pro-perties of the drilled-out rocks, and features of correcting elements mounted above the bit.
      Originality. Innovative mathematical model describing dynamics of the operation of a “bit – drive motor – drilled-out rock” mechanical system has been developed taking into consideration the effect of parametric oscillations.
      Practical implications. Limited amplitude of resonant vertical oscillations of a bit is the condition of efficient assembly operation and long service life of its components in the context of parametric excitations. The obtained results may be useful while designing drill rigs.
      Keywords: drill string, bit, borehole, bottom hole motor, screw motor, load, turbobit
      REFERENCES
Bakenov, A.S., Gabler, T., Detournay, E., & Germay, C. (2003). Enhanced drilling performance through controlled drillstring vibrations. In AADE 2003 National Technology Conference “Practical Solutions for Drilling Challenges” (pp. 1-8). Houston, Texas, United States: Houston Chapter of the American Association of Drilling Engineers.
Chernin, L., Vilnay, M., & Shufrin, I. (2016). Blast dynamics of beam-columns via analytical approach. International Journal of Mechanical Sciences, (106), 331-345.
https://doi.org/10.1016/j.ijmecsci.2015.12.018Chernin
Depouhon, A., & Detournay, E. (2014). Instability regimes and self-excited vibrations in deep drilling systems. Journal of Sound and Vibration, 333(7), 2019-2039.
https://doi.org/10.1016/j.jsv.2013.10.005
Eren, T., & Kok, M.V. (2018). A new drilling performance benchmarking: ROP indexing methodology. Journal of Petroleum Science and Engineering, (163), 387-398.
https://doi.org/10.1016/j.petrol.2018.01.002
Ghasemloonia, A., Geoff Rideout, D., & Butt, S.D. (2014). Analysis of multi-mode nonlinear coupled axial-transverse drillstring vibration in vibration assisted rotary drilling. Journal of Petroleum Science and Engineering, (116), 36-49.
https://doi.org/10.1016/j.petrol.2014.02.014
Ghasemloonia, A., Geoff Rideout, D., & Butt, S.D. (2015). A review of drillstring vibration modeling and suppression methods. Journal of Petroleum Science and Engineering, (131), 150-164.
https://doi.org/10.1016/j.petrol.2015.04.030
Gibbs, S.G. (1975). Computing gearbox torque and motor loading for beam pumping units with consideration of inertia effects. Journal of Petroleum Technology, 27(09), 1153-1159.
https://doi.org/10.2118/5149-pa
Heisig, G., Sancho, J., & Macpherson, J.D. (1998). Downhole diagnosis of drilling dynamics data provides new level drilling process control to driller. SPE Annual Technical Conference and Exhibition, 1-10.
https://doi.org/10.2118/49206-ms
Khajiyeva, L., Kudaibergenov, A., & Kudaibergenov, A. (2018). The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings. Communications in Nonlinear Science and Numerical Simulation, (59), 565-579.
https://doi.org/10.1016/j.cnsns.2017.12.008
Ogorodnikov, P.I. (1991). Upravlenie uglubleniem skvazhiny na baze izucheniya dinamicheskikh protsessov v buril’noy kolonne. Dissertatsiya doktora tekhn. nauk. Moskva, Rossiya: MINKh i GP im. ak. I.M. Gubkina.
Parsian, A., Magnevall, M., Beno, T., & Eynian, M. (2014). A mechanistic approach to model cutting forces in drilling with indexable inserts. Procedia CIRP, (24), 74-79.
https://doi.org/10.1016/j.procir.2014.07.138
Patil, P.A., & Teodoriu, C. (2013). A comparative review of modelling and controlling torsional vibrations and experimentation using laboratory setups. Journal of Petroleum Science and Engineering, (112), 227-238.
https://doi.org/10.1016/j.petrol.2013.11.008
Saldivar, B., Mondié, S., Niculescu, S.-I., Mounier, H., & Boussaada, I. (2016). A control oriented guided tour in oilwell drilling vibration modeling. Annual Reviews in Control, (42), 100-113.
https://doi.org/10.1016/j.arcontrol.2016.09.002
Saroyan, A.E. (1979). Buril’nye kolonny v glubokom burenii. Moskva, Rossiya: Nedra.
Skuchik, E. (1971). Prostye i slozhnye kolebatel’nye sistemy. Moskva, Rossiya: Mir.
Tsifanskiy, S.A., Bersnevich, V.I., & Oke, A.B. (1991). Neli-neynye i parametricheskie kolebaniya vibratsionnykh mashin tekhnologicheskogo naznacheniya. Riga, Latviya: Zinatne.
Vul’fson, I.I., & Kolovskiy, M.Z. (1969). Nelineynye zadachi dinamiki mashin. Leningrad, Rossiya: Mashinostroenie. Yunin, E.K., & Khegay, E.K. (2004). Dinamika glubokogo bureniya. Moskva, Rossiya: Nedra.