The correlation between tribological and functional aspects on casing and tubing joints.
Grigoras, Stefan ; Stirbu, Cristel ; Hanganu, Lucian Constantin 等
1. INTRODUCTION
The paper presents different constructive aspects of the joints for
tubing and casing (fig. 1). The solution with the largest and modern
application is the b) variant.
Any of the mentioned constructive versions presents the cylindrical thread (two steps with different diameters) which aim is to make equal
the distribution of the thrust loads along the joint. This thread does
not the seal. This is the reason for which, special sealing zones are
provided, inside, in the middle or even outside, the joint. These
sealing need considerable thrust loads, which cause elastic
deformations. The outer and the inner diameter of the joint are limited
by the well and by the drift, respectively, for any pipe diameter. The
most of the components of the joint are loaded by: the column length;
the make up torque; the inner and the outer pressure; the bending of the
column. The joints of that type are realized under an original patent
(Gafitanu et al., 1994). The joints are used in the extractive oil and
gas industry.
[FIGURE 1 OMITTED]
2. THEORETICAL APPROACH
The theoretical analysis of an integral joint for tubing and casing
raises some few problems (Gafitanu et al., 1996). The inner seal (IS in
fig. 1)--is a Hertzian contact; its aspect is presented by figure 2. The
two straight lines materialize the sphere of the pin ([R.sub.H] radius).
The normal load [F.sub.H] (keeping the contact stresses under a
limit imposed by the material) produces an axial load [F.sub.aH]:
[F.sub.aH] = 5.72 x [pi] x [[sigma].sup.2.sub.Hp] x [D.sub.c] x
[R.sub.H]/E x sin [beta] (1)
where, [[sigma].sub.Hp] is the stress limit; [D.sub.c] is the
contact diameter.
This force generates a component of the make up torque (the
friction torque in the contact point H, [M.sub.a1]). The contact
pressure limits the minimum value of the contact stresses. The seal with
the plastic material gasket G is described in figure 3.
The axial load [F.sub.aG] is introduced by the make up torque. This
load is placed between the limits imposed by the sealing functioning and
the gasket resistance. The friction moment between the end of pin and
the gasket is noted with [M.sub. a2].
[FIGURE 2 OMITTED]
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
The outer seal (OS in fig. 1) is of metal/metal type; its aspect,
before deformation of the components is presented by figure 4. Thrust
load [F.sub.aO] (between the limits imposed by the box resistance and
the sealing) generates a friction moment [M.sub.a3] as a component of
the make up torque. The central shoulder (CS in figure 1) is the surface
of the make up torque limitation. The contact surface and the pressure
on this surface are two very important parameters, because of the sizes
and the clearances between the pin and the box. The aspect of the
central shoulder contact is presented by figure 5, where [F.sub.aCS] is
normal load on contact:
[F.sub.aCS] = [sigma].sub.aC] x [pi]/4 ([D.sup.2.sub.oP] -
[D.sup.2.sub.iB] (2)
with: [[sigma].sub.aC]--the limit contact stress. The friction
moment is [M.sub.a4]. The limits are the minimum pressure on the
shoulder and (as maximum value) about 50% of yield material limit.
The thread, defined on two middle diameters, [D.sub.m1,2], for each
step, is loaded, in the moment of mounting by the axial force:
[F.sub.aT] = [F.sub.aH] + [F.sub.aG] + [F.sub.aO] + [F.sub.aCS] (3)
which produce the moment:
[M.sub.T] = [F.sub.aT][D.sub.mT]/2 x tg ([alpha] + [rho]) (4)
where, [D.sub.mT], [alpha] and [rho] are specific for the selected
thread.
The make up torque, imposed by the designer of well is:
T = [SIGMA] [M.sub.ai] + [M.sub.T] (5)
and its determination finishes the joint calculus.
3. RESULTS
The efficiency of the joint is determined like the ratio between
the critical cross section of the joint and of the pipe. The wall
thickness of the pipe is the final factor of the efficiency. For the
variant a) of fig. 1, the efficiency is very low (about 40%) and for the
variant c)--the same figure- the efficiency is the greatest (120%)
(Grigoras & Stirbu, 2002).
The evolution of the make up torque according to the pipe material
resistance is presented in (Grigoras et al., 2008).
The outer pressure produces only the loading of the pipe body. The
joint has a superior resistance, because the greatest wall thickness.
The figure 6 presents the evolution of the pipe resistance (for collapse
pressure), according to its material. The sealing functioning and the
joint resistance were tested with inner pressure applied by liquid
nitrogen. The pressure brought about traction stresses in the minimum
cross section of the joint as the yield limit of pipe material (Grigoras
& Stirbu, 2001).
[FIGURE 6 OMITTED]
[FIGURE 7 OMITTED]
The maximum thrust load (maximum parting load) supported by joint
(at breaking limit), according to pressures and weight of pipes, for the
proposed materials are presented in fig. 7, for the same pipe
dimensions. The length of the extractive column, for each material has
the distribution in fig. 8, for 5.5" pipe.
[FIGURE 8 OMITTED]
4. CONCLUSIONS
The new original joint was realized under a personal patent for a
large dimensional scale of pipes. The patent has as object the b)
variant of figure 1. The collapse and inner pressure represent critical
parameters only for pipe bodies (the joint is more resistant). The
length of the column and the maximum thrust load are taken over by the
joint. Its efficiency is the same important factor. The make up torque
evolution, according to the material, is the ascendant, for quality
increasing of steels. The difference between the maximum and minimum
value is larger for high resistant materials. The accuracy of mounting
is necessary to increased for H40.... C90 materials. The selection of a
material on all its parameters by designer must be that which is able to
preserve the functioning requirements.
5. REFERENCES
Gafitanu, M., Grigoras, St. & Stirbu, C. (1994), Tubing and
Casing Joint, Patent no. 106902 C1, OSIM, Bucharest
Gafitanu, M., Grigoras, St. & Stirbu, C. (1996), Original Joint
for Casing and Tubing. Theoretical Analysis, The 26th Israel Conference
on Mechanical Engineering, Haifa
Grigoras, St. & [section]tirbu C. (2002), Theoretical Aspects
on "Petrotub" Threaded Joints Functioning,
BALKANTRIB'2002, Kayseri
Grigoras, St., Hadar, A., Marin, C., Stirbu, C. & Stoica, G.
(2008), Theoretical Researches and Experimental Tests for a New Version
of Tubing and Casing Thread Connection, DAAAM International Wienna, ISSN 1726-9679, ISBN 978-3-901509-68-1
Grigoras, St. & [section]tirbu C. (2001), Functional aspect of
a threaded joint for tubing and casing, First National Conference on
Recent Advances in Mechanical Engineering, Patras