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Determination of the harmonic distortion value of vibroacoustic signals in the process of drilling operations

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Category: Content №2 2025

Last Updated on 26 April 2025

Published on 30 November -0001

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Authors:

V.S.Morkun, orcid.org/0000-0003-1506-9759, University of Bayreuth, Bayreuth, the Federal Republic of Germany, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

N.V.Morkun, orcid.org/0000-0002-1261-1170, University of Bayreuth, Bayreuth, the Federal Republic of Germany, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S.М.Hryshchenko*, orcid.org/0000-0003-4957-0904, State Tax University, Irpin, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

E.Y.Bobrov, orcid.org/0000-0002-9275-3768, Kryvyi Rih National University, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

І.A.Haponenko, orcid.org/0000-0002-0339-4581, Kryvyi Rih National University, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

повний текст / full article

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2025, (2): 088 - 095

https://doi.org/10.33271/nvngu/2025-2/088

Abstract:

Purpose. To model and quantitatively evaluate the harmonic distortion of vibroacoustic signals during drilling operations.

Methodology. The following methods are used in the work: analysis of scientific and practical solutions; statistical methods for processing the results of experimental studies; methods of analytical synthesis; computer modelling methods for synthesis and analysis of mathematical models.

Findings. When the drill bit interacts with the rock, it undergoes a non-linear coupled axial-torsional-side vibration and generates an accompanying vibroacoustic signal. Three phases of drilling efficiency can be observed in different types of drill bits. Phase I is typical of the initial stage of drilling due to insufficient load on the bit. In this phase of drilling, the scraping mechanism dominates, low bit load combined with high friction results in wasted energy and low ROP. As WOB increases, the drilling mode moves from Phase I to Phase II, the efficient drilling mode, where there is a linear relationship between WOB and ROP. It is critical to identify the mode of operation that corresponds to Phase III, as a combination of factors will cause the rig to enter this inefficient drilling mode. As an example of the use of non-linear measurements of vibroacoustic signals, a method is considered to quantify the non-linearity of the process of interaction between a drill bit and the rock, which allows the transition of a rig to the inefficient drilling mode to be demonstrated. To solve this problem, the distortion of the harmonic components of the vibroacoustic signal is studied during the evolution of the sticking-sliding effect of the drill bit in its interaction with the rock.

Originality. Method is proposed for detecting the operating modes of a drilling rig during the drilling of a well, in particular for determining the quantitative assessment of the evolution of the bit-stick-slip effect, which differs from the known methods in that the ratio of the power of the harmonic components to the fundamental frequency signal of the accompanying vibroacoustic signal is calculated.

Practical value. This approach makes it possible to demonstrate the transition of the well drilling process to an inefficient mode of operation, preventing a decrease in the penetration rate and an increase in the specific energy consumption.

Keywords: vibroacoustic signal, drilling, nonlinear transformation, evaluating, modelling

References.

1. Gan, W. S. (2021). Nonlinear Acoustic Wave Equations for Sound Propagation in Fluids and in Solids. Nonlinear Acoustical Imaging. Springer, Singapore. https://doi.org/10.1007/978-981-16-7015-2_2

2. Bucci, F., & Lasiecka, I. (2018). Feedback control of the acoustic pressure in ultrasonic wave propagation. Optimization, 68(10), 1811-1854. https://doi.org/10.1080/02331934.2018.1504051

3. Morkun, V., Morkun, N., & Pikilnyak, A. (2014). Simulation of high-energy ultrasound propagation in heterogeneous medium using k-space method. Metallurgical and Mining Industry, 6(3), 23-27.

4. Morkun, V., & Morkun, N. (2018). Estimation of the crushed ore particles density in the pulp flow based on the dynamic effects of high-energy ultrasound. Archives of Acoustics, 43(1), 61-67. https://doi.org/10.24425/118080

5. Garrett, S. L. (2020). Nonlinear Acoustics. In: Understanding Acoustics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-44787-8_15

6. Dushaishi, M. A., Nygaard, R., & Stutts, D. (2016). Effect of drilling fluid hydraulics on drill stem vibrations. Journal of Natural Gas Science and Engineering. https://doi.org/10.1016/J.JNGSE.2016.09.041

7. Cui, M., Wang, H. G., Zhao, J. Y., Cui, L., & Chen, Z. X. (2015). Optimizating drilling operating parameters with real-time surveillance and mitigation system of downhole vibration in deep wells. Advances in Petroleum Exploration and Development, 10, 22-26. https://doi.org/10.3968/7386

8. Gan, C., Cao, W.-H., Wang, L.-Z., Liu, K.-Z., & Wu, M. (2023). An Improved Dynamic Optimization Control System for the Drilling Rate of Penetration (ROP) and Its Industrial Application. IEEE Transactions on Industrial Electronics, 70(6), 6201-6208. https://doi.org/10.1109/TIE.2022.3199916

9. Li, C., & Samuel, R. (2017). Buckling of concentric string pipe-in-pipe. SPE Annual Technical Conference and Exhibition, SPE-187455-MS. https://doi.org/10.2118/187455-MS

10.      Boukredera, F. S., Hadjadj, A., & Youcef, M. R. (2021). Drilling vibrations diagnostic through drilling data analyses and visualization in real time application. Earth Science Informatics, 14, 1919-1936. https://doi.org/10.1007/s12145-021-00649-8

11.      Sloun, R. V., Demi, L., Shan, C., & Mischi, M. (2015). Ultrasound coefficient of nonlinearity imaging. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 62, 1331-1341. https://doi.org/10.1109/TUFFC.2015.007009

12.      Choi, H., Woo, P.C., Yeom, J.-Y., & Yoon, С. (2017). Power MOSFET linearizer of a high-voltage power amplifier for high-frequency pulse-echo instrumentation. Sensors, 17, 764. https://doi.org/10.3390/s17040764

13.      Saha Ray, S. (2020). New Exact Solutions of Fractional-Order Partial Differential Equations. Nonlinear Differential Equations in Physics. Springer, Singapore. https://doi.org/10.1007/978-981-15-1656-6_5

14.      Chen, W., Wang, P., Zhang, Z., Deng, X., Zhang, C., & Ju, S. (2019). Nonlinear ultrasonic imaging in pulse-echo mode using Westervelt equation: a preliminary research. Computer Assisted Surgery, 24(sup2), 54-61. https://doi.org/10.1080/24699322.2019.1649065

15.      Cliff J. Lissenden. Nonlinear ultrasonic guided waves. (2021). Principles for nondestructive evaluation. Journal of Applied Physics, 129, 021101. https://doi.org/10.1063/5.0038340

16.      Yu, T., Li, X., Zhang, H., Duan, C., Zeng, H., & Agila, W. (2022). Nonlinear analysis of axial-torsional vibration of drill string based on a 3 DOF model. Advances in Mechanical Engineering, 14(6). https://doi.org/10.1177/16878132221107778

17.      Real, F. F., Batou, A., Ritto, T. G., Desceliers, C., & Aguiar, R. R. (2018). Hysteretic bit/rock interaction model to analyze the torsional dynamics of a drill string. Mechanical Systems and Signal Processing, 111, 222-233. https://doi.org/10.1016/j.ymssp.2018.04.014

18.      Wang, W., Li, S., & Yuan, X. (2023). Effect of Power-V on the Stick–Slip Vibration of a Drill String. Chemistry and Technology of Fuels and Oils, 59, 202-212 https://doi.org/10.1007/s10553-023-01517-5

19.      De Moraes, L. P. P., & Savi, M. A. (2019). Drill-string vibration analysis considering an axial-torsional-lateral nonsmooth model. Journal of Sound and Vibration, 438, 220-237. https://doi.org/10.1016/j.jsv.2018.08.054

20.      Liu, X., Vlajic, N., Long, X., Meng, G., & Balachandran, B. (2013). Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects. Nonlinear Dynamics, 72, 61-77. https://doi.org/10.1007/s11071-012-0690-x

21.      Hosseinzadeh, A., & Bakhtiari-Nejad, F. (2017). A new dynamic model of coupled axial–torsional vibration of a drill string for investigation on the length increment effect on stick–slip instability. Journal of Vibration and Acoustics, 139, e061016. https://doi.org/10.1115/1.4037299

22.      Cui, M., Sun, M. C., Zhang, J. W., Kang, K., & Luo, Y. C. (2014). Maximizing drilling performance with real-time surveillance system based on parameters optimization algorithm. Advances in Petroleum Exploration and Development, 8(1), 15-24.  https://doi.org/10.3968/5537

23.      Li, S., Albertin, M., Bergeron, J., & Ansari, R. (2021). Constraining Minimum Stress and Fracture Gradient Using Time Based APWD Data and Mud Loss Events. Paper presented at the 55 ^th U.S. Rock Mechanics/Geomechanics Symposium, Virtual. Retrieved from http://onepetro.org/ARMAUSRMS/proceedings-pdf/ARMA21/All-ARMA21/2480289/arma-2021-2083.pdf

24.      Akhtarmanesh, S., Atashnezhad, A., Hareland, G., & Al Dushaishi, M. (2021). ROP model for PDC bits in geothermal drilling. In 55 ^th U.S. Rock Mechanics/Geomechanics Symposium. Retrieved from https://onepetro.org/ARMAUSRMS/proceedings-abstract/ARMA21/All-ARMA21/ARMA-2021-1214/467911

25.      Sharma, A., Al Dushaishi, M., & Nygaard, R. (2021). Fixed bit rotary drilling failure criteria effect on drilling vibration. American Rock Mechanics Association. Retrieved from http://onepetro.org/ARMAUSRMS/proceedings-pdf/ARMA21/All-ARMA21/2480289/arma-2021-2083

26.      Ong U. Routh (2016). Matrix Algorithms in MATLAB (1 ^st ed.). ISBN-10: 0128038047.

27.      Hongwei Wang (2020). Measurement of Total Harmonic Distortion (THD) and Its Related Parameters using Multi-Instrument. Virtins Technology. Retrieved from https://www.researchgate.net/publication/343107118_Measurement_of_Total_Harmonic_Distortion_THD_and_Its_Related_Parameters_using_Multi-Instrument

28.      Roderick, A. (2021). Total Harmonic Distortion (THD) and Power Factor Calculation. EE Power. Retrieved from https://eepower.com/technical-articles/total-harmonic-distortion-thd-and-power-factor-calculation/#

29.      Mechanical Rotational System with Stick-Slip Motion.Retrieved from https://www.mathworks.com/help/simscape/ug/mechanical-rotational-system-with-stick-slip-motion.html

30.      Rotational Friction. Retrieved from https://www.mathworks.com/help/simscape/ref/rotationalfriction.html

31.      Mechanical Rotational System with Stick-Slip Motion. Retrieved from https://www.mathworks.com/help/simscape/ug/mechanical-rotational-system-with-stick-slip-motion.html

32.      Nayak, J., Rekha, H. S., & Naik, B. (2023). Fuzzy C-Means Clustering: Advances and Challenges (Part II). In Rokach, L., Maimon, O., Shmueli, E. (Eds.) Machine Learning for Data Science Handbook. Springer, Cham. https://doi.org/10.1007/978-3-031-24628-9_12

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