Day 1 Tue, March 17, 2015 2015
DOI: 10.2118/173156-ms
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Spiraled Boreholes: An Expression of 3D Directional Instability of Drilling Systems

Abstract: The occurrence of borehole spiraling is predicted by analyzing the delay differential equations that govern the propagation of a borehole. These evolution equations for borehole inclination and azimuth are obtained by considering the following three model components: (i) a bit/rock interaction law that relates the force and moment acting on the bit to its penetration into the rock; (ii) kinematic relationships that describe the local borehole geometry from the bit penetration; and (iii) a beam model for the bo… Show more

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Cited by 4 publications
(3 citation statements)
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“…Thus, the scaled lateral force on the bit is expected to be of order O ð10 À2 F Ã Þ or less because of the small tilt of the bit on the borehole axis. Equating the expressions for the force and moment at the bit computed from the BHA model to those arising from the bit/rockinteraction leads, in general, to a system of coupled delay differential equations for the inclination and azimuth of the borehole (Perneder 2013;Marck and Detournay 2015). The delays, corresponding to the positions of the rotary-steerable-system pads and stabilizers, represent the spatial feedback embedded in the borehole trajectory.…”
Section: Model Of Borehole Propagationmentioning
confidence: 99%
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“…Thus, the scaled lateral force on the bit is expected to be of order O ð10 À2 F Ã Þ or less because of the small tilt of the bit on the borehole axis. Equating the expressions for the force and moment at the bit computed from the BHA model to those arising from the bit/rockinteraction leads, in general, to a system of coupled delay differential equations for the inclination and azimuth of the borehole (Perneder 2013;Marck and Detournay 2015). The delays, corresponding to the positions of the rotary-steerable-system pads and stabilizers, represent the spatial feedback embedded in the borehole trajectory.…”
Section: Model Of Borehole Propagationmentioning
confidence: 99%
“…However, this approach neglects the effect of the bit walk, the angle that quantifies the noncoaxiality between the lateral force and lateral penetration at the drill bit. The effect of the walk on the spiraling tendency of drilling systems was studied separately (Marck and Detournay 2015). With the assumption that the borehole is contained in a vertical plane, borehole spiraling degenerates into its 2D equivalent, borehole rippling.…”
Section: Model Of Borehole Propagationmentioning
confidence: 99%
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