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Research Papers

Computationally Efficient Down-Hole Drilling System Dynamics Modeling Integrating Finite Element and Transfer Matrix

[+] Author and Article Information
Chong Ke

Department of Mechanical Engineering,
College of Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: mkxxz314@tamu.edu

Xingyong Song

Department of Engineering Technology and
Industrial Distribution;
Department of Mechanical Engineering,
College of Engineering,
Texas A&M University,
College Station, TX 77840
e-mail: songxy@tamu.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 7, 2016; final manuscript received June 16, 2017; published online August 9, 2017. Assoc. Editor: Ardalan Vahidi.

J. Dyn. Sys., Meas., Control 139(12), 121003 (Aug 09, 2017) (8 pages) Paper No: DS-16-1295; doi: 10.1115/1.4037165 History: Received June 07, 2016; Revised June 16, 2017

This paper proposes a novel computationally efficient dynamics modeling approach for down-hole well drilling system. The existing drilling modeling methods are either computationally intensive such as those using finite element method (FEM) or weak in fidelity for complex geometry such as those using transfer matrix method (TMM). To take advantage of the benefits of FEM and TMM and avoid their drawbacks, this paper presents a new hybrid method integrating both of the aforementioned modeling approaches, enabled by the unique structural geometry of the drilling system. The new method is then applied to the down-hole well drilling system modeling, incorporating the dynamics of top drive, drill-string, bottom-hole-assembly (BHA), and bit–rock interaction. The hybrid integration approaches for both the axial and torsional dimensions are explicitly derived, and we also give directions on how to resolve those for flexural dimension. To this end, numerical simulation results are presented to demonstrate the effectiveness of the proposed hybrid modeling approach.

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References

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Figures

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Fig. 1

Down-hole drilling system

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Fig. 2

Schematic for hybrid modeling method

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Fig. 3

Schematic for the down-hole drilling system

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Fig. 4

Integration method for hybrid method

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Fig. 5

(a) Modeled torque profile and its fast Fourier transform, (b) modeled axial reaction force profile and its fast Fourier transform, and (c) modeled axial velocity and torsional velocity of an arbitrary point using hybrid method

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Fig. 6

Comparison of computation time of FEM and hybrid method (horizontal axis is the length of straight segment, and the length of each element used in FEM is kept constant)

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Fig. 7

Bit bouncing and stick–slip vibration simulation using hybrid model: (a) drill bit velocity profile when top drive torsional speed is 60 rpm and (b) drill bit velocity profile when top drive torsional speed is 120 rpm

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