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Research Papers: Materials Technology

Modeling the Energy-Saving Regimes of Curvilinear Bore-Hole Drivage

[+] Author and Article Information
V. I. Gulyayev

Department of Mathematics,
National Transport University,
Suvorov Street 1,
Kiev 01010, Ukraine
e-mail: valery@gulyayev.com.ua

V. V. Gaidaichuk

Department of Mathematics,
National Transport University,
Suvorov Street 1,
Kiev 01010, Ukraine
e-mail: viktor_gaydaychuk@bigmir.net

E. N. Andrusenko

Department of Mathematics,
National Transport University,
Suvorov Street 1,
Kiev 01010, Ukraine
e-mail: a.andrusenko@gmail.com

N. V. Shlyun

Department of Mathematics,
National Transport University,
Suvorov Street 1,
Kiev 01010, Ukraine
e-mail: sun_nata@list.ru

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received February 11, 2014; final manuscript received September 11, 2014; published online October 21, 2014. Assoc. Editor: Daniel T. Valentine.

J. Offshore Mech. Arct. Eng 137(1), 011402 (Oct 21, 2014) (8 pages) Paper No: OMAE-14-1010; doi: 10.1115/1.4028656 History: Received February 11, 2014; Revised September 11, 2014

This paper deals with simulating the energy-saving regimes of drilling deep curvilinear bore-holes with prescribed geometrical imperfections of their axial lines. On the basis of the theory of curvilinear flexible elastic rods, the 3D “stiff-string” drag and torque model of the drill string (DS) bending is elaborated. With its use, it is shown that the contact and friction forces generated by interaction of the DS with the bore-hole surface can be regulated through the combination of its axial and rotary movements. The advanced is applicable for monitoring the ascending–descending operations, drilling, and well completion.

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References

Figures

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Fig. 1

Geometric scheme of a deviated bore-hole with localized imperfections

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Fig. 2

Types of geometric imperfections of bore-holes: spiral wavelet (a), harmonic wavelet (b), and smoothed brake (c)

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Fig. 3

Schemes of internal (a) and external (b) forces and moments applied to the DS element

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Fig. 4

Internal axial force Fτ versus axial coordinate s (curve 1 for the bore-hole with ideal geometry, curve 2 for the bore-hole with imperfections)

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Fig. 5

Torque Mτ versus axial coordinate s (curve 1 for the bore-hole with ideal geometry, curve 2 for the bore-hole with imperfections)

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Fig. 6

Axial component fτgr of the gravity force versus axial coordinate s

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Fig. 7

Internal resultant shear force Fn versus axial coordinate s

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Fig. 8

The distributed axial friction force fτfr versus axial coordinate s

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Fig. 9

The distributed friction torque mτfr versus axial coordinate s

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Fig. 10

The diagram change of the ζi parameter minimizing the energy consumption while raising the drill string

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