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Research Papers

A Finite Element Method With Full Bit-Force Modeling to Analyze Drillstring Vibration

[+] Author and Article Information
Tianheng Feng

Department of Mechanical Engineering,
University of Texas at Austin,
204 E. Dean Keeton Street,
Austin, TX 78712
e-mail: f.tianheng@utexas.edu

Madhu Vadali

Halliburton,
3000 N. Sam Houston Pkwy E,
Houston, TX 77032
e-mail: madhu.vadali@halliburton.com

Zheren Ma

Department of Mechanical Engineering,
University of Texas at Austin,
204 E. Dean Keeton Street,
Austin, TX 78712
e-mail: zhrm@utexas.edu

Dongmei Chen

Department of Mechanical Engineering,
University of Texas at Austin,
204 E. Dean Keeton Street,
Austin, TX 78712
e-mail: dmchen@me.utexas.edu

Jason Dykstra

Halliburton,
3000 N. Sam Houston Pkwy E,
Houston, TX 77032
e-mail: jasondand@gmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 19, 2016; final manuscript received February 10, 2017; published online June 5, 2017. Assoc. Editor: Dumitru I. Caruntu.

J. Dyn. Sys., Meas., Control 139(9), 091016 (Jun 05, 2017) (10 pages) Paper No: DS-16-1508; doi: 10.1115/1.4036083 History: Received October 19, 2016; Revised February 10, 2017

Drillstring vibration is detrimental to drilling operations. It is crucial to understand the underlying mechanisms to circumvent these vibrations and to help improve drilling performance. This paper presents a six degrees-of-freedom (DOF) finite element method (FEM) model to characterize the drillstring dynamics. In addition, a comprehensive bit-force model is developed and included as a boundary condition to the model, corresponding to the vibrations in axial, lateral, and torsional directions. This bit-force model considers the bottom hole assembly (BHA) eccentricity, mud damping, bit–rock interaction, and their coupling mechanisms. Simulation results have shown good agreement with field observations and experimental data in the literature. The utility of this modeling framework is demonstrated in the paper through case studies for normal operation, stick–slip vibration, and whirl vibration.

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References

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Figures

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Fig. 1

Finite element discretization and beam element

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Fig. 3

Frequency responses of a high-order FEM model and low-order FEM models

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Fig. 2

Forces applied on the drillstring

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Fig. 4

Frequency responses of full-order model and reduced-order approximations

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Fig. 5

Wellbore under polar coordinate; the forces are explained in Eqs. (24), (26), and (29)

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Fig. 6

Rotary speeds of the top drive and the bit (set point = 8 rad/s)

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Fig. 7

Bit dynamics of case 1, where (a) the axial displacement of the bit, (b) the axial velocity (ROP) of the bit, (c) the lateral displacement in Y direction, (d) the bit velocity in Y direction, (e) the lateral displacement in Z direction, and (f) the bit velocity in Z direction

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Fig. 8

Bit center movement of case 1

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Fig. 10

Bit dynamics of case 2, where (a) the axial displacement of the bit, (b) the axial velocity (ROP) of the bit, (c) the lateral displacement in Y direction, (d) the bit velocity in Y direction, (e) the lateral displacement in Z direction, and (f) the bit velocity in Z direction

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Fig. 11

Bit center movement of case 2

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Fig. 9

Rotary speeds of the top drive and the bit (set point = 5 rad/s)

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Fig. 12

Rotary speeds of the top drive and the bit (set point = 5 rad/s and eccentricity = 10 mm)

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Fig. 13

Bit dynamics of case 3, where (a) the axial displacement of the bit, (b) the axial velocity (ROP) of the bit, (c) the lateral displacement in Y direction, (d) the bit velocity in Y direction, (e) the lateral displacement in Z direction, and (f) the bit velocity in Z direction

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Fig. 14

Bit center movement of case 3

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