Forceful interaction of the casing string with the walls of a curvilinear well

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Authors:


I.I.Paliichuk, orcid.org/0000-0002-8443-2702, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I.M.Kovbasiuk, orcid.org/0000-0002-3653-2143, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.B.Martsynkiv, orcid.org/0000-0003-4583-5944, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I.I.Vytvytskyi, orcid.org/0000-0003-3782-3695, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, 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. 2022, (4): 045 - 051

https://doi.org/10.33271/nvngu/2022-4/045



Abstract:



Purpose.
Developing a method for determining the axial forces and the walls reactions along a casing string, which bend it and make it follow a curved wellbore shape.


Methodology.
The casing string is represented as a long elastic rod in the curved well. An inhomogeneous system of four differential equations is developed to describe the rods deformations. It was reduced to a first-order differential equation with respect to axial force. Its solution was found by the Bernoulli method. The numerical integration of the differential equation is applied.


Findings.
The axial force distribution along the casing string was found, taking into account the well curvature and the friction, as well as the reaction forces of the well walls. A method of the tables numerical integration of the wells inclinometric measurements has been developed. The calculating formulas for the reaction forces, axial forces, bending moments and stresses acting in the casing pipes in the well deep are obtained.


Originality.
The solved problem takes into account the walls reaction and the friction forces that create longitudinal bend during the columns movement. The system of differential equations of equilibrium was supplemented by Eulers kinematic equation. The function of zenith angle, which is known due to the table of the directional survey data, was taken as the integration variable. The inverse problem is solved all unknown internal forces, also such the external distributed reaction, which causes the column to repeat the wells shape, was been determined by the angular deformations of casing string, which are given by the wells shape in the inclinometric table.


Practical value.
The developed method allows detecting the areas with a significant local increase in the wells curvature, which indicate their obstructed passability. This allows for accurate determination of depth intervals to increase the borehole diameter, which is necessary before lowering the column. According to the analysis results, it is possible to determine the parameters of the stress-strain state of the casing string, which can be used to predict its working capacity and operating life.



Keywords:
casing string, curved well, inclinometric measurement, wall reaction

References.


1. McSpadden, A.R., Coker, O.D., & Ruan, G.C. (2011). Advanced Casing Design with Finite-Element Model of Effective Dogleg Severity, Radial Displace­ments and Bending Loads. SPE Production and Operations Symposium, Oklahoma City, Oklahoma, USA. https://doi.org/10.2118/141458-MS.

2. Yin, F., & Gao, D. (2014). Mechanical analysis and design of cas2ing in directional well under in-situ stresses. Journal of Natural Gas Science and Engineering, 20(9), 285-291. https://doi.org/10.1016/j.jngse.2014.07.014.

3. Yanturin, R.A., Zainullin, A.F., Yanturin, A.Sh., & Gabzalilova,A.Kh. (2015). On methods of calculating the axial load in the columns of rods, drill pipes, casings and tubing strings. Oil industry, (1), 71-74.

4. Ai, C., Yu, F.H., Feng, F.P., Yan, M.S., & Wei, T. (2015). Calculating method for the axial force of wash­over string during extracting casing in directional well. Advances in Petroleum Exploration and Development, 9(1), 86-91. https://doi.org/10.3968/6634.

5. Musa, N.W. (2017). Elastic bending deformation of the drill strings in channels of curve wells. Modern Mechanical Engineering, (7), 1-7.

6. Zhang, Y., & Samuel, R. (2019). Engineers Dilemma: When to Use Soft String and Stiff String Torque and Drag Models. SPE Annual Technical Conference and Exhibition. Calgary, Alberta, Canada. https://doi.org/10.2118/196205-MS.

7. Gang, W., Gang, L., Kai, W., & Yichen, L. (2020). Nu­merical simulation on the running process of the casing strings in directional well. 7th International Forum on Electrical Engineering and Automation (IFEEA), 1005-1009. https://doi.org/10.1109/IFEEA51475.2020.00210.

8. Kryzhanivskyi, Ye.I., Paliichyk, I.I., & Malyk, H.D. (2018). Large deformations of the casing string under its own weight in the curvilinear well. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (6), 72-79. https://doi.org/10.29202/nvngu/2018/9.

9. Polyanin, A.D., & Zaitsev, V.F. (2017). Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems. Boca Raton, Florida: Chapman and Hall/CRC. https://doi.org/10.1201/9781315117638.

10. Paliichuk, I.I. (2018). The Interaction of the Casing String with the Walls of an Inclined, Curved and Horizontal Borehole Areas. Prospecting and Develop­ment of Oil and Gas Fields, 66(1), 27-37. Retrieved from https://rrngr.nung.edu.ua/index.php/rrngr/article/view/240.

11. Stenger, F. (2010). Handbook of Sinc Numerical Methods. Boca Raton, Florida: CRC Press. https://doi.org/10.1201/b10375.

 

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ISSN (print) 2071-2227,
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Journal was registered by Ministry of Justice of Ukraine.
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