Research Papers

Dynamic Modeling of Directional Drillstring: A Linearized Model Considering Well Profile

[+] Author and Article Information
Tianheng Feng

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

Inho Kim

3000 N. Sam Houston Pkwy E,
Houston, TX 77032
e-mail: inho.kim@halliburton.com

Dongmei Chen

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

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 8, 2017; final manuscript received October 31, 2017; published online December 19, 2017. Assoc. Editor: Shankar Coimbatore Subramanian.

J. Dyn. Sys., Meas., Control 140(6), 061005 (Dec 19, 2017) (10 pages) Paper No: DS-17-1403; doi: 10.1115/1.4038388 History: Received August 08, 2017; Revised October 31, 2017

Drillstring vibration can cause fatigue failure of the drill pipe, premature wear of the bit, and a decreased drilling efficiency; therefore, it is important to accurately model the drillstring and bottomhole assembly (BHA) dynamics for vibration suppression. The dynamic analysis of directional drilling is more important, considering its wide application and the advantage of increasing drilling and production efficiencies; however, the problem is complex because the large bending can bring nonlinearities to drillstring vibration and the interaction with the wellbore can occur along the entire drillstring. To help manage this problem, this paper discusses a dynamic finite element method (FEM) model to characterize directional drilling dynamics by linearizing the problem along the well's central axis. Additionally, the rig force and drillstring/wellbore interaction are modeled as a boundary condition to simulate realistic drilling scenarios. The proposed modeling framework is verified using comparisons with analytical solutions and literatures. The utility of the proposed model is demonstrated by analyzing the dynamics of a typical directional drillstring.

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Grahic Jump Location
Fig. 2

FEM discretization for directional drillstring

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Fig. 1

The north, east, and vertical coordinate frame, where pi is the coordinate of survey point i; t(θi, ϕi) is the direction of the survey point; αi is the deflection angle; V, N, and E coincide with the global coordinate axes X, Y, and Z, respectively

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Fig. 3

Vibration modes in axial, torsional, and lateral directions

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Fig. 4

Case studies, Mc is centralized moment and Fc is centralized force

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Fig. 5

The large bending of a thin beam under centralized moment Mc

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Fig. 6

The large bending of a thin beam under transverse force Fc

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Fig. 11

Bit dynamics (stick/slip vibration) under the well coordinate where (a), (c), and (e) are the bit displacements in x (axial), y (flexural), and z (flexural) directions; and (b), (d), and (f) are the bit velocities in x, y, and z directions

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Fig. 7

Trajectory of the directional drillstring under simulation

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Fig. 8

Torsional speeds of the top drive and the bit under normal operation

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Fig. 9

Bit dynamics (normal operation) under the well coordinate where (a), (c), and (e) are the bit displacements in x (axial), y (flexural), and z (flexural) directions; and (b), (d), and (f) are the bit velocities in x, y, and z directions

Grahic Jump Location
Fig. 10

Torsional speeds of the top drive and the bit under stick/slip vibration



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