Pergamon
Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. Vol. 32, No. 3, pp. 277-283, 1995
Copyright © 1995 Elsevier Science Ltd
0148-9062(94)00043-3 Printed in Great Britain. All rights reserved
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Technical Note
An Experimental
Drill Cutters and
E. KURU,
A. K. WOJTANOWICZ~§
Study of
Rocks
Sliding Friction Between PDC
INTRODUCTION
It is well documented [1,2] that the shearing action of
drilling with PDC bits equipped with drag cutters gener-
ates friction and heat at the cutters/rock interface.
Laboratory tests [3] and simulation studies [4] reveal that
the rate at which friction induces heating exceeds the rate
at which drilling fluids cool the cutters. This heat greatly
reduces drill bits operational life.
Drilling fluid flows vigorously around the cutters and
reduces temperature by: (1) providing convective cool-
ing; (2) lubricating the contact between wearflat and the
rock; and (3) removing rock chips and obstructions that
reduce cutting efficiency. Using laboratory tests and field
experiences, bit designers have enhanced convective
cooling of PDC cutters. Further improvement in this
area is likely to be small because of two physical limits.
First, at some point, high mud flow rates are counter
productive because they cause unacceptable fluid erosion
of the wellbores. Second, there is a limit to convective
cooling, beyond which cutter temperature cannot be
reduced by increasing the mud flow rate. For instance,
at a certain level of friction the tungsten carbide cannot
conduct heat away from the wearflat (to the convecting
surfaces of the stud) fast enough to control the wearflat
temperature. This often happens in hard formations
where either a heavier weight on the bit or a higher
rotary speed is required for efficient drilling. In these
formations increasing the mud flow rate does not greatly
improve convective cooling because thermal resistance
of the PDC layer limits heat transfer [4].
An alternative method of controlling PDC cutter
temperature is to decrease heat generation by reducing
friction at the cutter/rock interface. Metal cutting prac-
tices [5] show that higher frictional forces (six-to-seven
fold) are required to produce visible hot spots when the
surfaces are wetted with liquid. The principal factors
that control the magnitude of the friction-induced heat
tMiddle East Technical University, Turkey.
:~Department of Petroleum Engineering, Louisiana State University,
Baton Rouge, LA 70803-6417, U.S.A.
§To whom all correspondence should be addressed.
include cutter wear, cutting speed, and the friction
coefficient for the diamond and stud materials that rub
against the rock.
The mechanism of PDC cutters' wear has been
investigated using experiments with single-cutters [6-9],
laboratory experiments with full-scale prototype bits
[7,10,11] and field tests with full-scale bits [12-14].
Based on these extensive laboratory and field data,
several models were presented that could predict the
performance and wear of PDC drill bits [15, 16].
Glowka [15] measured drag forces and then reported
values for the drag coefficient (defined as the ratio of
drag force to normal force). He considered the drag force
as a sum of the cutting force and the friction force. He
then concluded that the reduction in friction forces
would result in an equal reduction in the drag coefficient.
He also concluded that for a given rock type the relation
between penetrating force and drag force is relatively
independent from the depth of cut. This implies a
constant value of friction coefficient for all cutters across
the bit face.
Detournay and Defourny [16] developed a phe-
nomenological model for the drilling action of PDC
bits. They verified their model by using Glowka's
laboratory data [15]. Their estimated friction coefficient
was unusually high compared to the other reported
values for various rocks [7]. They also stated that, "The
contact friction angle underneath the cutter is reminis-
cent of the internal friction angle of the rock" [16]. What
they referred to as a friction coefficient appears to be a
drag coefficient. This is supported by the fact that their
estimated drag coefficient values compared well to drag
coefficients measured by Glowka [15].
To date, Hibbs and Sogoian [7] have provided the only
available data on measured sliding friction coefficients.
They used a 1.372 m (54 in.) vertical turret lathe. In their
tests, forces acting on the PDC cutter were measured as
the cutter repeatedly moved across the same ridge on the
rock surface. Such arrangement, however, did not simu-
late the actual behavior of the cutter. In reality, the PDC
cutter's drilling action includes cutting to the rock's new
surface and then sliding across the wearflat area. Also,
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