Optimizing sampling frequency of surface and downhole measurements for efficient stick-slip vibration detection

Abstract

Drilling vibrations significantly impact drilling operations with high costs due to early downhole equipment failure and loss of productive time. Stick-slip vibrations, a severe form of torsional vibrations, is known to be present up to 50% of total drilling time, making it a topic of immense concern and research. An ongoing discussion in the industry is regarding the reliability of surface measurements for early detection of severe downhole bit sticking. Moreover, most surface measurements are sampled at lower frequency rates closer to 1 Hz. Recently, the implementation of advanced data acquisition modules in downhole subs has greatly improved our understanding of drilling vibrations through high resolution data, sampled up to 10 kHz. However, with a wide range of sampling frequency to choose from different available tools, a critical question remains unanswered. What is an optimal and adequate sampling frequency for early detection of downhole vibrations using both surface and downhole measurements? The paper addresses the question with a focus on stick-slip vibrations through an experimental investigation. Stick slip tests are repeated for different sampling frequencies of surface and downhole measurements and the stick slip index for each case is calculated. The stick-slip index varies for different sampling frequency even though the vibration tests remain completely identical. It was inferred that sampling frequency of measurements greatly impact the detection of downhole vibrations. Even though stick-slip vibrations are characteristically low frequency vibrations (≤2Hz), a minimum of 10Hz sampling frequency is recommended for detection of stick-slip vibrations. Moreover, all characteristics of stick-slip vibrations including bit sticking, bit RPM peaks and negative bit RPMs are clearly observed at a minimum of 100Hz sampling rate.

Declaration of competing interest

No conflict of interest exits in the submission of this manuscript, and the manuscript is approved by all authors for publication.

Acknowledgement

We thank Helmerich and Payne Inc. for supporting and funding the experimental study in the Drilling Vibration Laboratory at the University of Oklahoma.

References

[1] Guangjian Dong, Ping Chen, A review of the evaluation, control, and application technologies for drill string vibrations and shocks in oil and gas well, Shock Vib. (2016) 2016.

[2] A. Kyllingstad, G.W. Halsey,A study of slip-stick motion of the bit, in:SPE Annual Technical Conference and Exhibition, 1987, pp. 97-104.

[3] Ahmad Ghasemloonia D.Geoff Rideout, Stephen D. Butt, A review of drillstring vibration modeling and suppression methods, J. Petrol. Sci. Eng. 131 (2015) 150-164.

[4] Saket Srivastava, Catalin Teodoriu, An extensive review of laboratory scaled experimental setups for studying drill string vibrations and the way forward, J. Petrol. Sci. Eng. 182 (2019), 106272.

[5] Martha Belem Saldivar Márquez, Boussaada Islam, Hugues Mounier,Silviu- Iulian Niculescu, Analysis and control of oilwell drilling vibrations, in: A Time-Delay Systems Approach, Ser. Advances in Industrial Control, Springer, 2015.

[6] Parimal Arjun Patil,Oscar Nicolas Ochoa, Identification of optimal drilling parameters for reduction of high-frequency torsional oscillations by combined approach with modeling and real-time analysis of high-frequency measurements, in: IADC/SPE International Drilling Conference and Exhibition, One- Petro, 2020.

[7] Navarro-López, Eva María, Rodolfo Suárez, Practical approach to modelling and controlling stick-slip oscillations in oilwell drillstrings, in: Proceedings of the 2004 IEEE International Conference on Control Applications vol. 2, IEEE, 2004, pp. 1454-1460, 2004.

[8] Lixin Li, Jin Wang, Yingmei Yu, Yifei Xing, Fengyan Zhang, Yi Zhang, Yanyan Li, A review of the research and development of high-frequency measurement technologies used for nonlinear dynamics of drillstring, Shock Vib. (2021) 2021.

[9] M.P. Dufeyte, H. Henneuse, Detection and monitoring of the slip-stick motion: field experiments,in:SPE/IADC Drilling Conference, OnePetro, 1991.

[10] J.F. Brett, The genesis of torsional drillstring vibrations, SPE drilling engineering. " SPE drilling engineering (society of petroleum engineers);(United States), Journal 7 (3) (1992) 168-174.

[11] Ekaterina Millan, Maurice Ringer, Riadh Boualleg, Denis Li, Real-Time drillstring vibration characterization using machine learning, in: SPE/IADC International Drilling Conference and Exhibition, OnePetro, 2019.

[12] M.J. Fear, F. Abbassian, S.H.L. Parfitt, A. McClean, The destruction of PDC bits by severe slip-stick vibration, in: SPE/IADC Drilling Conference, OnePetro, 1997.

[13] S.L. Chen, K. Blackwood, E. Lamine, Field investigation of the effects of stickslip, lateral, and whirl vibrations on roller cone bit performance, in: SPE Annual Technical Conference and Exhibition, OnePetro, 1999.

[14] Soumya Gupta, Crispin Chatar, José R. Celaya, Machine learning lessons learnt in stick-slip prediction, in: Abu Dhabi International Petroleum Exhibition & Conference, OnePetro, 2019.

[15] R.A. Cunningham, Analysis of downhole measurements of drill string forces and motions, J. Eng. Ind. (1968) 208-216.

[16] A. Kyllingstad, G.W. Halsey, A study of slip/stick motion of the bit, SPE Drill. Eng. 3 (1988) 369-373, 04.

[17] Johan Dirk Jansen, Leon Van Den Steen, Active damping of self-excited torsional vibrations in oil well drillstrings, J. Sound Vib. 179 (4) (1995) 647-668.

[18] Canudas-de-Wit,Francisco R. Rubio Carlos, Miguel Angel Corchero, D-OSKIL: a new mechanism for controlling stick-slip oscillations in oil well drillstrings, IEEE Trans. Control Syst. Technol. 16 (6) (2008) 1177-1191.

[19] Parimal Arjun Patil, Catalin Teodoriu,Model development of torsional drillstring and investigating parametrically the stick-slips influencing factors, J. Energy Resour. Technol. 135 (1) (2013).

[20] Xianbo Liu, Xinhua Long, Xie Zheng, Guang Meng, Balakumar Balachandran, “Spatial-temporal dynamics of a drill string with complex timedelay effects: bit bounce and stick-slip oscillations, Int. J. Mech. Sci. 170 (2020).

[21] Xie Zheng, Vipin Agarwal, Xianbo Liu, Balakumar Balachandran, Nonlinear instabilities and control of drill-string stick-slip vibrations with consideration of state-dependent delay, J. Sound Vib. 473 (2020), 115235.

[22] Saket Srivastava, Rushit N. Shah, Catalin Teodoriu, Aditya Sharma, Impact of data quality on supervised machine learning: case study on drilling vibrations, J. Petrol. Sci. Eng. 219 (2022), 111058.

[23] D.R. Pavone, J.P. Desplans, Application of high sampling rate downhole measurements for analysis and cure of stick-slip in drilling, in: SPE Annual Technical Conference and Exhibition, OnePetro, 1994.

[24] J.T. Finger, A.J. Mansure, S.D. Knudsen, R.D. Jacobson, Development of a system for diagnostic-while-drilling (DWD),in:SPE/IADC Drilling Conference, One- Petro, 2003.

[25] Hatem Oueslati, Andreas Hohl, Navish Makkar, Thorsten Schwefe, Christian Herbig, The need for high-frequency vibration measurement along with dynamics modeling to understand the genesis of PDC bit damage, in: IADC/SPE Drilling Conference and Exhibition, OnePetro, 2014.

[26] Theresa Baumgartner, Eric van Oort, Pure and coupled drill string vibration pattern recognition in high frequency downhole data, in: SPE Annual Technical Conference and Exhibition, OnePetro, 2014.

[27] Adam Bowler, Richard Harmer, Lojini Logesparan, Junichi Sugiura, Ben Jeffryes, Maja Ignova, Continuous high-frequency measurements of the drilling process provide new insights into drilling-system response and transitions between vibration modes, SPE Drill. Complet. 31 (02) (2016) 106-118.

[28] Jie Zhao, Yuelin Shen, Wei Chen, Zhengxin Zhang, Sonny Johnston, Machine learningebased trigger detection of drilling events based on drilling data, in: SPE Eastern Regional Meeting, OnePetro, 2017.

[29] Junichi Sugiura, Steve Jones, Simulation and measurement of high-frequency torsional oscillation (HFTO)/High-Frequency axial oscillation (HFAO) and downhole HFTO mitigation: knowledge gains continue using embedded highfrequency drilling dynamics sensors, SPE Drill. Complet. 35 (no. 04) ( 2020) 553-575.

[30] Shilin Chen, John Wisinger, Brad Dunbar, Chris Propes, Identification and mitigation of friction-and cutting-action-induced stick/slip vibrations with PDC bits, SPE Drill. Complet. 35 (04) (2020) 576-587.

[31] Gilles Pelfrene, Cuilier Bruno, Dhaker Ezzeddine, Alfazazi Dourfaye, Dimo Dimov, Gilles Gallego, Christopher Roccas, Aurélien Mangeny, Sébastien Reboul, Setting a new standard: PDC bits equipped with compact vibration recorders monitor entire run and reveal stick-slip mitigation system dysfunction and downhole motor under performance,in:SPE/IADC International Drilling Conference and Exhibition, OnePetro, 2021.

[32] Eric Cayeux, Adrian Ambrus, Lars Øy, Arvid Helleland, S.T. Brundtland, Harald Nevøy, Marian Morys, Analysis of torsional stick-slip situations from recorded downhole rotational speed measurements, SPE Drill. Complet. 36 (03) (2021) 560-574.

[33] Richard G. Lyons,Understanding Digital Signal Processing, vol. 3, E. Pearson Education India, 1997.

[34] Emmanuel Allier, Gilles Sicard, Laurent Fesquet, Marc Renaudin, A new class of asynchronous A/D converters based on time quantization, in: Ninth International Symposium on Asynchronous Circuits and Systems, IEEE, 2003, pp. 196-205, 2003. Proceedings.

[35] Joern Ploennigs, Volodymyr Vasyutynskyy, Klaus Kabitzsch, Comparative study of energy-efficient sampling approaches for wireless control networks, IEEE Trans. Ind. Inf. 6 (3) (2010) 416-424.

[36] Claude Elwood Shannon, A mathematical theory of communication, Bell Syst. Techn. J. 27 (3) (1948) 379-423.

[37] Aditya Sharma, Saket Srivastava, Catalin Teodoriu, Experimental design, instrumentation, and testing of a laboratory-scale test rig for torsional vibrationsdthe next generation, Energies 13 (18) (2020) 4750.

[38] Saket Srivastava, An Experimental,Modeling and Machine Learning Based Investigation of Stick-Slip Vibrations”, PhD dissertation. University of Oklahoma, 2022.