Measurement and Analysis of Drillstring Dynamics

Part of the Information Fusion and Data Science book series (IFDS)


We shown that drilling dynamics is a crucial problem must be attached great importance to. Our innovation lies in combining actual measurement with theoretical modeling. Two evaluation methods are compared systematically, such as theoretical and measurement methods. In this chapter, our investigations concern the dynamics of drilling, unveiling a chaotic regime and suggesting practical ways of improving current drilling techniques. The reveal of chaos provides a new way to detect early fatigue cracks as weak signals in a noisy environment to reduce engineering cost and the possibility of disaster. Data from all nine fields in China are used in our studies. Proposes a theoretical model for drilling dynamics, and a real drilling system is developed to validate the theoretical dynamical behaviour. The existence of chaos in drilling may open a new concept of drilling chaos in the solid flow mechanics that will benefit to both the physicists and the drilling engineers.


Drilling dynamics Chaotic Drillstring vibration Fatigue cracks Detection 


  1. 1.
    Ritto TG, Escalante MR, Sampaio R, Rosales MB. Drillstring horizontal dynamics with uncertainty on the frictional force. J Sound Vib. 2013;332(1):145–53.CrossRefGoogle Scholar
  2. 2.
    Qilong X, Leung H, Ruihe W, Baolin L, Leilei H, Shenglai G. The chaotic dynamics of drilling. Nonlinear Dyn. 2016;83(3):2003–18.Google Scholar
  3. 3.
    Belokobyl’skii SV, Prokopov VK. Friction induced self-excited vibration of drill rig with exponential drag law [J]. Sov Appl Mech. 1982;18(12):1134–8.CrossRefGoogle Scholar
  4. 4.
    Zamudio CA, Tlusty JL, Dareing DW. Self-excited vibrations in drillstrings [C]. SPE 16661, 1987. SPE annual technical conference and exhibition, 27–30 September, Dallas, Texas.Google Scholar
  5. 5.
    Brett JF. The genesis of bit-induced torsional Drillstring vibrations [J]. SPE Drill Eng. 1991;7(3):168–74.CrossRefGoogle Scholar
  6. 6.
    Dowson R, Lin YQ, Spanos PD. Drill string stick-slip oscillations [C]. Spring conference of the society for experimental mechanics, Houston, Texas, June 14–19, 1987.Google Scholar
  7. 7.
    Lin YQ, Wang YH. Stick-slip vibration of drill strings [J]. Trans ASME J Eng Ind. 1991;113(1):38–43.Google Scholar
  8. 8.
    Bailey JJ. An analytical study of drill-string vibration[J]. ASME J Eng Ind [J]. 1960;82(2):122–8.CrossRefGoogle Scholar
  9. 9.
    Elsayed MA, Phung CC. Modeling of drillstrings [C]. Proceedings of the 24th ASME international conference on offshore mechanics and arctic engineering. Halkidiki, 2005.Google Scholar
  10. 10.
    Lubinski A. Dynamic loading of Drillpipe during tripping[J]. J Pet Technol. 1988;40(8):975–83.CrossRefGoogle Scholar
  11. 11.
    Aadnoy BS, Fazaelizadeh M, Hareland G. A 3D analytical model for wellbore friction [J]. J Can Pet Technol. 2010;49(10):25–36.zbMATHCrossRefGoogle Scholar
  12. 12.
    Yigit AS, Christoforou AP. Coupled axial and transverse vibrations of oil well drillstrings [J]. J Sound Vib. 1996;195(4):617–27.CrossRefGoogle Scholar
  13. 13.
    Yigit AS, Christoforou AP. Coupled torsional and bending vibrations of drillstrings subject to impact with friction [J]. J Sound Vib. 1998;215(1):167–81.CrossRefGoogle Scholar
  14. 14.
    Khulief YA, Al-Naser H. Finite element dynamic analysis of drillstrings [J]. Finite Elem Anal Des. 2005;41(13):1270–88.CrossRefGoogle Scholar
  15. 15.
    Sampaio R, Piovan MT, VeneroLozano G. Coupled axial/torsional vibrations of drill-strings by means of non-linear model [J]. Mech Res Commun. 2007;34(5):497–502.zbMATHCrossRefGoogle Scholar
  16. 16.
    Kapitaniak M, Hamaneh VV, Chávez JP, et al. Unveiling complexity of drill-string vibrations: experiments and modelling[J]. Int J Mech Sci, 2015, s101–102:324–337.Google Scholar
  17. 17.
    Gupta SK, Wahi P. Global axial-torsional dynamics during rotary drilling [J]. J Sound Vib. 2016;375(4):332–52.CrossRefGoogle Scholar
  18. 18.
    Huang W, Gao D, Wei S, Li X. A generalized quasi-static model of drill string system [J]. J Nat Gas Sci Eng. 2015;23(3):208–20.CrossRefGoogle Scholar
  19. 19.
    Lian Z, Zhang Q, Lin T, Wang F. Experimental and numerical study of drill string dynamics in gas drilling of horizontal wells [J]. J Nat Gas Sci Eng. 2015;27(3):1412–20.CrossRefGoogle Scholar
  20. 20.
    Jones S, Feddema C, Castro J. Fully mechanical vertical drilling system delivers RSS performance in vertical drilling applications while providing an economical alternative conventional rotary steerable systems set-Up for vertical hold mode [C]. SPE-178788, 2016, IADC/SPE Drilling Conference and Exhibition, 1–3 March, Fort Worth, Texas.Google Scholar
  21. 21.
    Warren T. Rotary steerable technology conclusion: implementation issues concern operators [J]. Oil Gas J. 1998;96(12):23–4.Google Scholar
  22. 22.
    Wang R, Xue Q, et al. Torsional vibration analysis of push-the-bit rotary steerable drilling system [J]. Meccanica. 2014;49(7):1601–15.zbMATHCrossRefGoogle Scholar
  23. 23.
    Hoffmann OJ, Jain JR, Spencer RW, Makkar N. Drilling dynamics measurements at the drill bit to address Today’s challenges. IEEE international instrumentation and measurement technology conference: smart measurements for a sustainable environment, Graz, p. 1772–1777, 13–16, May 2012.Google Scholar
  24. 24.
    Nayfeh AH, Balakumar B. Applied nonlinear dynamics: analytical, computational, and experimental methods. Weinheim: Wiley-VCH; 1995.zbMATHCrossRefGoogle Scholar
  25. 25.
    Ertas D, Bailey JR, Wang L, et al. Drill string mechanics model for surveillance, root cause analysis, and mitigation of torsional and axial vibrations. Louisiana: Society of Petroleum Engineers; 2013.Google Scholar
  26. 26.
    Jansen JD. Nonlinear rotor dynamics as applied to oil well drillstring vibrations. J Sound Vib. 1991;147(1):115–35.CrossRefGoogle Scholar
  27. 27.
    Navarro-Lopez EM, Cortes D. Avoiding harmful oscillations in a drillstring through dynamical analysis. J Sound Vib. 2007;307:152–71.CrossRefGoogle Scholar
  28. 28.
    Millheim K, Jordan S, Ritter CJ. Bottom-hole assembly analysis using the finite-element method. SPE J. 1978;30(2):265–74.Google Scholar
  29. 29.
    Costa FS, Rebeiro PR. Finite element modeling of the mechanical behavior of unbalanced drill collars. Rio de Janeiro: Society of Petroleum Engineers; 1997.Google Scholar
  30. 30.
    Ledgerwood LW, Jain JR, OJ H®m, et al. Downhole measurement and monitoring lead to an enhanced understanding of drilling vibrations and polycrystalline diamond compact bit damage. Louisiana: Society of Petroleum Engineers; 2013.CrossRefGoogle Scholar
  31. 31.
    Raap C, Craig AD, Graham RB. Drill pipe dynamic measurements provide valuable insight into drill string dysfunctions. Ohio: Society of Petroleum Engineers; 2011.CrossRefGoogle Scholar
  32. 32.
    Oueslati H, Jain JR, Reckmann H, et al. New insights into drilling dynamics through high- frequency vibration measurement and modeling. Louisiana: Society of Petroleum Engineers; 2013.CrossRefGoogle Scholar
  33. 33.
    Chien ML, Nicholas V, Hamad K, et al. Parametric studies on drill-string motions. Int J Mech Sci. 2012;54(1):260–8.CrossRefGoogle Scholar
  34. 34.
    Besaisow AA, Payne ML. A study of excitation mechanisms and resonances inducing BHA vibrations. New Orleans: Society of Petroleum Engineers; 1986.Google Scholar
  35. 35.
    Schen AE, Snell AD, Stanes BH. Optimization of bit drilling performance using a new small vibration logging tool. Amsterdam: Society of Petroleum Engineers; 2005.CrossRefGoogle Scholar
  36. 36.
    Field DJ, Swarbrick AJ, Haduch GA. Techniques for successful application of dynamic analysis in the prevention of field-induced vibration damage in MWD tools. Amsterdam: Society of Petroleum Engineers; 1993.CrossRefGoogle Scholar
  37. 37.
    Wolf SF, Zacksenhouse M, Arian A. Field measurements of downhole drillstring vibrations. Las Vegas: Society of Petroleum Engineers; 1985.CrossRefGoogle Scholar
  38. 38.
    Lutz J, Raynaud H, Gstalder S, et al. Dynamics theory of drilling and instantaneous logging. Los Angeles: Society of Petroleum Engineers; 1971.Google Scholar
  39. 39.
    Stephen WL, Mitch W, Aaron E, et al. Stick-slip detection and friction factor testing using surface-based torque and tension measurements. Netherlands: Society of Petroleum Engineers; 2014.Google Scholar
  40. 40.
    Xue Q, Leung H, Huang L, Zhang R, Liu B, Wang J, Li L. Modeling of torsional oscillation of drillstring dynamics. Nonlinear Dyn. 2019;96(1):267–83.CrossRefGoogle Scholar
  41. 41.
    Jansen JD. Nonlinear dynamics of oil well Drillstrings. PhD thesis, Delft University, Netherlands, 1993. p. 38–55.Google Scholar
  42. 42.
    Spanos PD, Sengupta AK, Cunningham RA, Paslay PR. Modeling of roller cone bit lift-off dynamics in rotary drilling. J Energy Resour Technol. 1995;117(3):197–207.CrossRefGoogle Scholar
  43. 43.
    Lanczos C. The variational principles of mechanics. Dovers Publications, Inc. 1970, p. 90–106.Google Scholar
  44. 44.
    Zhao G, Gong W. Fundamentals of drilling mechanics. China: Petroleum Industry Press; 1988.Google Scholar
  45. 45.
    Qilong X, Ruihe W, Feng S. Study on lateral vibration of rotary steerable drilling system. J Vibroeng. 2014;16(6):2702–11.Google Scholar
  46. 46.
    Kennel MB, Brown R, Abarbanel HDI. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A. 1992;45(6):3403–11.CrossRefGoogle Scholar
  47. 47.
    Cao L. Practical method for determining the minimum embedding dimension of a scalar time series [J]. Physica D. 1997;110(1–2):43–50.zbMATHCrossRefGoogle Scholar
  48. 48.
    Russel MK, Russel AW. Surveying of boreholes. United States Patent US4163324. 1979.Google Scholar
  49. 49.
    Yezid IA, Yonnellybeth M, Andre N. Vibration risk index offers tool for preventing drillstring failure. World Trends and Technology for Offshore Oil and Gas Operations, 2011.Google Scholar
  50. 50.
    Macpherson JD, Mason JS, Kingman JEE. Surface measurement and analysis of drillstring vibrations while drilling. Amsterdam: Society of Petroleum Engineers; 1993.CrossRefGoogle Scholar
  51. 51.
    Dubinsky VSH, Henneuse HP, Kirkman MA. Surface monitoring of downhole vibrations: Russian, European, and American approaches. Cannes: Society of Petroleum Engineers; 1992.Google Scholar
  52. 52.
    Ledgerwood LW, Ho®mann OJ, Jain JR, et al. Downhole vibration measurement, monitoring, and modeling reveal stick/slip as a primary cause of PDC-bit damage in today. Florence: Society of Petroleum Engineers; 2010.CrossRefGoogle Scholar
  53. 53.
    Zannoni SA, Cheatham CA, Chen CKD, et al. Development and field testing of a new downhole MWD drillstring dynamics sensor. Houston: Society of Petroleum Engineers; 1993.CrossRefGoogle Scholar
  54. 54.
    Chen DCK, Smith M, LaPierre S. Integrated drilling dynamics system closes the model measure optimize loop in real time. Amsterdam: Society of Petroleum Engineers; 2003.CrossRefGoogle Scholar
  55. 55.
    Akinniranye G, Megat A, Elsweisy H, et al. Implementation of a shock and vibration mitigation process: achieving real-time solutions and savings. SPE J. 2009;24(2):1–10.Google Scholar
  56. 56.
    Ashley DK, McNary XM, Tomlinson JC. Extending BHA life with multi-axis vibration measurements. Society of Petroleum Engineers, Amsterdam, 2001.Google Scholar
  57. 57.
    Adam B, Lojini L, Junichi S, et al. Continuous high-frequency measurements of the drilling process provide new insights into drilling system response and transitions between vibration modes. Amsterdam: Society of Petroleum Engineers; 2014.Google Scholar
  58. 58.
    Cooley JW, Tukey JW. An algorithm for the machine calculation of complex Fourier series. Math Comput. 1965;19:297–301.MathSciNetzbMATHCrossRefGoogle Scholar
  59. 59.
    Morlet J. Continuous wavelet transform and continuous multiscale analysis. J Math Anal Appl. 2003;169(1):179–96.MathSciNetGoogle Scholar
  60. 60.
    Craig AD, Hanley C, McFarland B, et al. A proven approach to mitigating drilling vibration problems in offshore Western Australia. Doha: International Petroleum Technology Conference; 2009.CrossRefGoogle Scholar
  61. 61.
    Welch PD. The use of fast Fourier transforms for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust. 1967;15(62):70–3.CrossRefGoogle Scholar
  62. 62.
    Kennel MB, Brown R, Abarbanel HDI. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A. 1992;45(6):3403–11.CrossRefGoogle Scholar
  63. 63.
    Fraser AM, Swinney HL. Independent coordinates for strange attractors from mutual information. Phys Rev A. 1986;33(2):34–40.MathSciNetzbMATHCrossRefGoogle Scholar
  64. 64.
    Cao L. Practical method for determining the minimum embedding dimension of a scalar time series. Physica D. 1997;110(1–2):43–50.zbMATHCrossRefGoogle Scholar
  65. 65.
    Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica D. 1983;9(1–2):189–208.MathSciNetzbMATHCrossRefGoogle Scholar
  66. 66.
    Wolf A, Swift JB, Swinney HL, Vastano JA. Determining Lyapunov exponents from a time series. Physica D. 1985;16(3):285–317.MathSciNetzbMATHCrossRefGoogle Scholar
  67. 67.
    Rosenstein MT, Collins JJ, De Luca CJ. Apractical method for calculating largest Lyapunov exponents from small data sets. Physica D. 1993;65(1–2):117–34.MathSciNetzbMATHCrossRefGoogle Scholar
  68. 68.
    Rainer H, Kantz H, Schreiber T. Practical implementation of nonlinear time series methods: the TISEAN package. Chaos. 1999;9(2):413–35.zbMATHCrossRefGoogle Scholar
  69. 69.
    Schreiber T. Detecting and analyzing nonstationarity in a time series with nonlinear cross-predictions. Phys Rev Lett. 1997;78(5):843–6.CrossRefGoogle Scholar
  70. 70.
    Perc M. Nonlinear time series analysis of the human electrocardiogram. Eur J Phys. 2005;26(5):757–68.CrossRefGoogle Scholar
  71. 71.
    Kodba S, Perc M, Marhl M. Detecting chaos from a time series. Eur J Phys. 2005;26(1):205–15.CrossRefGoogle Scholar
  72. 72.
    Kostić S, et al. Stochastic nature of earthquake ground motion. Physica A. 2013;392:4134–45.CrossRefGoogle Scholar
  73. 73.
    Kaplan DT, Glass L. Direct test for determinism in a time series. Phys Rev Lett. 1992;68(4):427–30.CrossRefGoogle Scholar
  74. 74.
    Chen SL, Blackwood K, Lamine E. Field investigation of the effects of stick–slip, lateral and whirl vibrations on roller-cone bit performance. SPE Drill Complet. 2002;17(1):15–20.CrossRefGoogle Scholar
  75. 75.
    Christoforou AP, Yigit AS. Fully coupled vibrations of actively controlled drillstrings. J Sound Vib. 2003;267(5):1029–45.CrossRefGoogle Scholar
  76. 76.
    L.W. Ledgerwood III, et al. Downhole vibration measurement, monitoring and Modeling reveal stick-slip as a primary cause of PDC bit damage in Today’s applications. SPE annual technical conference and exhibition, Florence. SPE-134488-MS, 19–22 2010.Google Scholar
  77. 77.
    Yezid A, Ashley F. Quantification of Drillstring integrity failure risk using real-time vibration measurements. SPE J. 2012;27(2):216–22.Google Scholar
  78. 78.
    Altmann J, Mathew J. Multiple band-pass autoregressive demodulation for rolling element bearing fault diagnosis. Mech Syst Signal Process. 2001;15(5):963–77.CrossRefGoogle Scholar
  79. 79.
    Junsheng C, Dejie Y, Yu Y. The application of energy operator demodulation approach based on EMD in machinery fault diagnosis. Mech Syst Signal Process. 2007;21(2):668–77.CrossRefGoogle Scholar
  80. 80.
    Ocak H, Loparo KA, Discenzo FM. Online tracking of bearing wear using wavelet packet decomposition and probabilistic modeling: a method for bearing prognostics. J Sound Vib. 2007;302(4–5):951–61.CrossRefGoogle Scholar
  81. 81.
    Müller PC, Bajkowski J, Söffker D. Chaotic motions and fault detection in a cracked rotor. Nonlinear Dyn. 1994;5(2):233–54.Google Scholar
  82. 82.
    Zhao Z, Wang F-L, Jia M-X, Wang S. Intermittent-chaos-and-cepstrum-analysis-based early fault detection on shuttle valve of hydraulic tube tester. IEEE Trans Ind Electron. 2009;56(7):2764–70.CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.China University of GeosciencesBeijingChina

Personalised recommendations