Mathematical modeling of geometry of calibration cones of balls with offset axes of rotation
UDC: 004.925.8
DOI: 10.33285/2073-9028-2022-2(307)-136-146
Authors:
SERIKOV DMITRY YU.
1,
LYUTOEV ALEXANDER A.2,
BOREYKO DMITRY A.2
1 Gubkin Russian State University of Oil and Gas (National Research University), Moscow, Russian Federation
2 Ukhta State Technical University, Ukhta, Russian Federation
Keywords: drill bit, ball with displaced axis of rotation, calibrating cone, drilling, rock destruction, mathematical modeling, wear of the weapon
Annotation:
The article presents the results of theoretical studies that have made it possible to establish that the main reason for the uneven wear of the toothed rotation of a spherical drill bit with offset axes of rotation of the balls relative to the axis of rotation of the bit. This is the discrepancy in full with the geometry of the hole (in the transition region of the main cone of the ball to the calibrating one) to the kinematic features of balls. In order to reduce the influence of this negative factor, a mathematical model has been created that allows determining the coordinates of the alignment points of the calibration cone of the ball with the well wall. This makes it possible to develop recommendations for further improvement of the geometry of the cutting structure of the peripheral crowns of the ball bits with offset axes of rotation of the balls to ensure the most complete and long-term contact of the main and calibrating cones of the balls with the surface of the bottom and the wall of the well, which will reduce the increased wear of the teeth of the cutting structure in the transition zone forming from the peripheral main to the calibrating cone of the balls and will enable the serrated cutting structure of the balls to maintain the required specific pressure on the rock being destroyed for a longer period of time, the diameter of the bit and, as a result, will provide an increase in both the mechanical drilling speed and the resource of the drill bit.
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