Destruction of Nonholonomic Constraints a Sticking Drill String by the Method of Transverse Vibrations

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Published: квіт. 9, 2018
Keywords:
wave equation, elimination of stuck, vibrator, sticking forces, transverse oscillations, well oscillator

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K. G. Levchuk
Івано-Франківський НТУ нафти і газу

Abstract

The proposed discrete-continuum mathematical model for releasing the trapped drill string takes into account the dynamic excitation, the elastic deformation of the free part drilling pipe assembly, and the formation of loads on the grabbed zone, as well as the dynamics of the adhered arrangement drill pipes. The model is designed for the case of the location of the vibration mechanism near the drill rig's grappling area for transverse vibration excitation. The task of releasing the drill string is solved with account of the external force generated by the vibrator and the resistance forces of the captured pipe caused by the pressure on them of the rock. The basis of the proposed method is the equations of longitudinal and bending oscillations of an elastic rod — the differential equations of hyperbolic type in partial derivatives with two independent variables, as well as the molecular-mechanical theory of friction. In the process of solving the system of differential equations was reduced to the Sturm-Lowville problem with boundary conditions of the first and second kind with the subsequent application of the Fourier method. In the paper, formulas were obtained for determining the rock pressure per drill pipe for various types of stuck. Recommendations are formulated to reduce friction due to the use of vibration devices. As a result, dependencies were obtained, which allowed using the results of geophysical research in the well, to evaluate the effectiveness of the use of vibration devices for the elimination of accidents during drilling, without breaking the strength of the pipes. The author conducted an analysis of the influence of low frequency oscillations on the coefficient of friction of drill pipes on the wall of the well when disturbing transverse vibrations. The recommendations on the selection of frequency and amplitude of disturbing force that will free stuck pipe column and prevent their destruction.

Article Details

Issue
No. 1 (2017)
Section
Mathematical and Calculation Physics
Author Biography

K. G. Levchuk, Івано-Франківський НТУ нафти і газу

доцент, докторант

References

Vasyuk B. N., Hoshovsky S. V. (2011). Improvement of the technology of installing the casing in the well. Porodorazrushayushchiy i metalloobrabatyvayushchiy instrument – tekhnika i tekhnologiya ego izgotovleniya i primeneniya (Rock Cutting and Metal Tool  Engineering and Technology its Manufacture and Use), 14, 93-97.

Rys V. V. (2015). The impact of vibration on the drill pipe forces freezing the liquidation of complications vibration breaker. Prykarp. Visn. NTSh. Ser. Chyslo (Precarpathian Bulletin of the Shevchenko Sci. Soc.), 29(1), 263-274.

Savel’ev S. V. (2013). Studying soil vibration deformation. Vestnik Irkutsk. GTU (Vestnik Irkutsk State Technical University), 73(2), 66-69.

Kerimov Z. G. (1970). Dynamic calculations of a drill string. Moscow: Nedra (in Rus.).

Harchenko Ye. V., Huty A. V., Hren’ Ya. V. (2008). Experimental studies of the dynamics of the release stucking pipe string. Avtomatyzatsiya vyrobnychykh protsesiv u mashynobuduvanni ta pryladobuduvanni (Automation of Production Processes in Mechan. Eng. and Instrument), 42, 128-133.

Hamitov R. N., Aver’yanov, Perchun A. A. (2013). Elektromekhanicheskie elementy v vibroudarozashchite krupnogabaritnykh ob’ektov. Omskiy nauchnyi vestnik. Ser. Pribory, vashyny i tekhnologii (J. Omsk Scientific Bulletin. Ser. Devices, Machines and Technologies), 107(3), 170- 175.

Huzina L. B., Shayhutdinova A. F. (2016). On the results experimental and theoretical studies of bottom from the well oscillator. Uchenye zapiski Al’met’evskogo gosud. neftyanogo instituta (Academic Notes Almetev State Oil Inst.), XV, 14-19.

Bojana D. (2012). Mechanical Models of Friction That Exhibit Hysteresis, StickSlip, and the Stribeck Effect (Thesis of PhD, The University of Michigan, USA).

Moisyshyn V., Levchuk K. (2016). The Impact of Vibration Mechanism’ Zone Installation on the Process of Retrieving Stuck Drill Pipes. Mining of Mineral Deposits, 10(3), 65-76.

Haydaychuk V. V., Shevchuk L. V. (2014). Non-holonomic dynamics of whirling vibrations of deep drill columns. Opir materialiv i teoriia sporud (Strength of Materials and Theory of Structures), 92, 92-101.

Ohorodnikov P. I., Svitlytskyi V. M., Ivankiv O. O., Poliovyi A. Ya. (2016). Influence of intensity of transverse vibrations on dynamic state of drill string. Naftohazova haluz’ Ukrayiny (Oil and Gas Industry of Ukraine), 21(3), 13-15.

Tang M., Xiong J., He S. (2014). A new model for computing surge/swab pressure inhorizontal wells and analysis of in fluencing factors. J. Nat. Gas Sci. Eng., (19), 337–343.