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Research Papers: Petroleum Engineering

Dynamic Analysis on Unbuckling Process of Helically Buckled Coiled Tubing While Milling Plugs

[+] Author and Article Information
Xing Qin

MOE Key Laboratory of Petroleum Engineering
and State Key Laboratory of Petroleum Resources
and Engineering,
China University of Petroleum-Beijing,
Beijing 102249, China
e-mail: qin99xing@163.com

Deli Gao

Professor
MOE Key Laboratory of Petroleum Engineering,
State Key Laboratory of Petroleum Resources
and Engineering,
China University of Petroleum-Beijing,
Beijing 102249, China
e-mail: gaodeli@cup.edu.cn

Yongsheng Liu

MOE Key Laboratory of Petroleum Engineering
and State Key Laboratory of Petroleum Resources
and Engineering,
China University of Petroleum-Beijing,
Beijing 102249, China
e-mail: bfyongsheng@126.com

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received January 13, 2017; final manuscript received April 2, 2018; published online April 19, 2018. Assoc. Editor: Ray (Zhenhua) Rui.

J. Energy Resour. Technol 140(9), 092902 (Apr 19, 2018) (10 pages) Paper No: JERT-17-1020; doi: 10.1115/1.4039871 History: Received January 13, 2017; Revised April 02, 2018

In down-hole interventions, the thin elastic coiled tubing (CT) extended for thousands of meters underground would typically undergo helical buckling as a result of axial compressive force. This paper builds an analytical model to describe the unbuckling behavior of a helically buckled CT with a new view to the stretching process in the plug milling operations. The new dynamic unbuckling equation is built on the basis of the general bending and twisting theory of rods. Under the continuous contact assumption, the helical angle is only subject to time; thus, the dynamic equations can be simplified and the analytical solutions can be obtained. By using the new governing equations, the angular velocity, axial force, and contact force relative to CT are analyzed in the unbuckling process. The calculation results indicate that the parameters including CT diameters and wellbore diameters have a strong influence on the variation of axial force and wellbore contact force. Moreover, the wellbore contact force is greater than zero during the whole unbuckling process which confirms the continuous contact assumption. These new results provide important guidance for accurate job design for the plug milling operations during the well completion stage.

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Figures

Grahic Jump Location
Fig. 3

Transformation between the coordinates with Euler angles: (a) CT segment geometry and (b) Euler angles

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Fig. 2

The coordinates for the helix

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Fig. 1

Diagram of plug drillout with coiled tubing

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Fig. 4

Rectangular coordinates and cylindrical coordinates

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Fig. 5

Phase trajectory in plane (ψ˙N,ψN) for ψN0=30 deg

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Fig. 6

Phase trajectory in plane (ψ˙N,ψN) for ψN0 = 90 deg

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Fig. 7

Axial velocity of a certain point for ψN0 = 30 deg

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Fig. 8

Axial velocity of a certain point for ψN0 = 90 deg

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Fig. 9

Stretching time for different initial spiral angles (ψ˙N0=0.5)

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Fig. 10

Stretching time for different initial spiral angles (ψ˙N0=0.25)

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Fig. 11

Distribution of axial internal force along the CT axis (ε=0.1)

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Fig. 12

Effect of angle ψN on reduction of axial force for ψN0 = 30 deg

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Fig. 13

Effect of angle ψN on reduction of axial force for ψN0 = 45 deg

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Fig. 14

Effect of angle ψN on reduction of axial force for ψN0=60°

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Fig. 15

Effect of angle ψN on contact force for ψN0 = 30 deg

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Fig. 16

Effect of angle ψN on contact force for ψN0 = 45 deg

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