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Research Papers

Extending the Reach of a Rod Injected Into a Cylinder Through Distributed Vibration

[+] Author and Article Information
Jay T. Miller

Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139

Connor G. Mulcahy

Department of Mechanical Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139

Jahir Pabon, Nathan Wicks

Schlumberger-Doll Research,
Cambridge, MA 02139

Pedro M. Reis

Department of Mechanical Engineering,
Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail: preis@mit.edu

1Present address: Schlumberger-Doll Research, Cambridge, MA 02139.

2Corresponding author.

Contributed by the Applied Mechanics of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received October 9, 2014; final manuscript received November 6, 2014; accepted manuscript posted December 12, 2014; published online December 12, 2014. Editor: Yonggang Huang.

J. Appl. Mech 82(2), 021003 (Feb 01, 2015) (6 pages) Paper No: JAM-14-1471; doi: 10.1115/1.4029251 History: Received October 09, 2014; Revised November 06, 2014; Accepted December 12, 2014; Online December 12, 2014

We present results of an experimental investigation of a new mechanism for extending the reach of an elastic rod injected into a horizontal cylindrical constraint, prior to the onset of helical buckling. This is accomplished through distributed, vertical vibration of the constraint during injection. A model system is developed that allows us to quantify the critical loads and resulting length scales of the buckling configurations, while providing direct access to the buckling process through digital imaging. In the static case (no vibration), we vary the radial size of the cylindrical constraint and find that our experimental results are in good agreement with existing predictions on the critical injection force and length of injected rod for helical buckling. When vertical vibration is introduced, reach can be extended by up to a factor of four, when compared to the static case. The injection speed (below a critical value that we uncover), as well as the amplitude and frequency of vibration, are studied systematically and found to have an effect on the extent of improvement attained.

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References

van Adrichem, W., and Newman, K., 1993, “Validation of Coiled-Tubing Penetration Predictions in Horizontal Wells,” J. Pet. Technol., 45(2), pp. 155–159. [CrossRef]
Svenšek, D., and Podgornik, R., 2008, “Confined Nanorods: Jamming due to Helical Buckling,” Phys. Rev. E, 77(3), p. 031808. [CrossRef]
Bassett, E. K., Slocum, A. H., Masiakos, P. T., Pryor, H. I., Farokhzad, O. C., and Karp, J. M., 2009, “Design of a Mechanical Clutch-Based Needle-Insertion Device,” Proc. Natl. Acad. Sci., 106(14), pp. 5540–5545. [CrossRef]
Mitchell, R. F., 2008, “Tubing Buckling—The State of the Art,” SPE Drill. Completion, 23(4), pp. 361–370. [CrossRef]
McCourt, I., Truslove, T., and Kubie, J., 2002, “Penetration of Tubulars Into Horizontal Oil Wells,” Proc. Inst. Mech. Eng., Part C, 216(12), pp. 1237–1245. [CrossRef]
Tailby, R., Cobb, D., Riva, M., Jones, C., Rydland, J., and Christensen, O., 1993, “A Joint Industry Research Project to Investigate Coiled-Tubing Buckling,” Offshore Europe, pp. 993–1002.
Lubinski, A., 1950, “A Study of the Buckling of Rotary Drilling Strings,” Drilling and Production Practice, pp. 178–214.
Lubinski, A., and Althouse, W., 1962, “Helical Buckling of Tubing Sealed in Packers,” J. Pet. Technol., 14(6), pp. 655–670. [CrossRef]
Cheatham, J., Jr., 1984, “Helical Postbuckling Configuration of a Weightless Column Under the Action of Axial Load,” SPE J., 24(4), pp. 467–472. [CrossRef]
Chen, Y., Lin, Y., and Cheatham, J., 1990, “Tubing and Casing Buckling in Horizontal Wells (Includes Associated Papers 21257 and 21308),” J. Pet. Technol., 42(2), pp. 140–141. [CrossRef]
Mitchell, R., 1986, “Simple Frictional Analysis of Helical Buckling of Tubing,” SPE Drill. Eng., 1(6), pp. 457–465. [CrossRef]
Wu, J., and Juvkam-Wold, H., 1993, “Study of Helical Buckling of Pipes in Horizontal Wells,” SPE Production Operations Symposium, pp. 867–876.
Gao, G., and Miska, S., 2009, “Effects of Boundary Conditions and Friction on Static Buckling of Pipe in a Horizontal Well,” SPE J., 14(4), pp. 782–796. [CrossRef]
Gao, G., and Miska, S., 2010, “Effects of Friction on Post-Buckling Behavior and Axial Load Transfer in a Horizontal Well,” SPE J., 15(4), pp. 1104–1118. [CrossRef]
Suryanarayana, P., and McCann, R., 1994, “Experimental Study of Buckling and Post-Buckling of Laterally Constrained Rods: Part 1—Frictional Effects,” ASME Energy-Source Technology Conference and Exhibition, New Orleans, LA, Jan. 23–26, pp. 23–27.
McCourt, I., Truslove, T., and Kubie, J., 2004, “On the Penetration of Tubular Drill Pipes in Horizontal Oil Wells,” Proc. Inst. Mech. Eng., Part C, 218(9), pp. 1063–1081. [CrossRef]
Wicks, N., Wardle, B., and Pafitis, D., 2008, “Horizontal Cylinder-in-Cylinder Buckling Under Compression and Torsion: Review and Application to Composite Drill Pipe,” Int. J. Mech. Sci., 50(3), pp. 538–549. [CrossRef]
Acock, A., ORourke, T., Shirmboh, D., Alexander, J., Andersen, G., Kaneko, T., Venkitaraman, A., López-de Cárdenas, J., Nishi, M., Numasawa, M., Yoshioka, K., Roy, A., Wilson, A., and Twynam, A., 2004, “Practical Approaches to Sand Management,” Oilfield Rev., 16(1), pp. 10–27.
Afghoul, A., Amaravadi, S., Boumali, A., Calmeto, J., Lima, J., Lovell, J., Tinkham, S., Zemlak, K., and Staal, T., 1994, “Coiled Tubing: The Next Generation,” Oilfield Rev., 6(4), pp. 9–23.
Bennetzen, B., Fuller, J., Isevcan, E., Krepp, T., Meehan, R., Mohammed, N., Poupeau, J.-F., and Sonowal, K., 2010, “Extended-Reach Wells,” Oilfield Rev., 22(3), pp. 4–15.
Summers, T., Larsen, H. A., Redway, M., and Hill, G., 1995, “The Use of Coiled Tubing During the Wytch Farm Extended Reach Drilling Project,” International Meeting on Petroleum Engineering, pp. 23–36.
McCourt, I., and Kubie, J., 2005, “Limits on the Penetration of Coiled Tubing in Horizontal Oil Wells: Effect of the Pipe Geometry,” Proc. Inst. Mech. Eng., Part C, 219(11), pp. 1191–1197. [CrossRef]
Zheng, A., and Sarmad, A., 2005, “The Penetration of Coiled Tubing With Residual Bend in Extended-Reach Wells,” SPE Annual Technical Conference and Exhibition, Dallas, TX, Oct. 9–12, pp. 220–225.
Bhalla, K., 1995, “Coiled Tubing Extended Reach Technology,” Offshore Europe Conference, Aberdeen, UK, Sept. 5–8, pp. 392–405. [CrossRef]
Al Shehri, A., Al-Driweesh, S., Al Omari, M., and Al Sarakbi, S., 2007, “Case History: Application of Coiled Tubing Tractor to Acid Stimulate Open Hole Extended Reach Power Water Injector Well,” SPE Asia Pacific Oil and Gas Conference, Jakarta, Indonesia , Oct. 30–Nov. 1, pp. 989–996. [CrossRef]
Al-Buali, M. H., Dashash, A. A., Shawly, A. S., Al-Guraini, W. K., Al-Driweesh, S. M., Bugrov, V., and Nicoll, S., 2009, “Maximizing Coiled Tubing Reach During Logging of Extended Horizontal Wells Using E-Line Agitator,” Kuwait International Petroleum Conference and Exhibition, Kuwait City, Kuwait, Dec. 14-16, pp. 324–334. [CrossRef]
Audoly, B., and Pomeau, Y., 2010, Elasticity and Geometry: From Hair Curls to the Non-Linear Response of Shells, Oxford University Press, New York.
Lazarus, A., Miller, J. T., and Reis, P. M., 2013, “Continuation of Equilibria and Stability of Slender Elastic Rods Using an Asymptotic Numerical Method,” J. Mech. Phys. Solids, 61(8), pp. 1712–1736. [CrossRef]
Lazarus, A., Miller, J. T., Metlitz, M., and Reis, P. M., 2013, “Contorting a Heavy and Naturally Curved Elastic Rod,” Soft Matter, 9(34), pp. 8274–8281. [CrossRef]
Miller, J. T., Lazarus, A., Audoly, B., and Reis, P. M., 2014, “Shapes of a Suspended Curly Hair,” Phys. Rev. Lett., 112(6), p. 068103. [CrossRef] [PubMed]
Miller, J. T., 2014, “Mechanical Behavior of Elastic Rods Under Constraint,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.

Figures

Grahic Jump Location
Fig. 1

Injection force, P, versus injected length, l, for a rod (E = 1290 ± 12 kPa, ρ = 1200 kg/m3, and r = 1.55 mm) injected into a glass pipe (D = 12.0 mm and Δr = 4.4 mm) at velocity, v = 0.1 m/s. Inset: profile-view photographs of configurations at different values of l = {0.22, 0.73, 0.79, 0.98, and 1.05} m. I—straight; II—sinusoidal; III, IV—helix initiation at lh (solid line) and lock-up at lc (dashed line); and V—end of test.

Grahic Jump Location
Fig. 2

(a) Helix initiation length, lh, versus radial clearance, Δr. Theoretical prediction comes from Eq. (3), with μ = 0.54 ± 0.11 (solid line for the mean; dashed lines for the standard deviation). Inset: Schematic definition of Δr. (b) Reaction force at helix initiation, Ph, versus Δr. Equation (4) is plotted as a solid line. (c) Helix initiation length, lh, as a function of injection speed, v, for two radial clearances, Δr = 4.4 and 9.2 mm. Dashed lines represent predictions from Eq. (3). For parts (a) and (c), data points indicate the mean of 10 runs, with error bars representing a standard deviation of 10 runs. For part (b), data represents measurements made within 0.02 m of lh for 10 runs.

Grahic Jump Location
Fig. 3

Normalized helical initiation length, l¯h, versus normalized injection speed, v¯, for a rod injected into a pipe with D = 21.7 mm and Δr = 9.3 mm. Experimental error bars are the standard deviations of 5 runs per injection speed. The dimensionless acceleration is Γ = 2, with f = {50, 100, and 200} Hz. The dashed horizontal lines represent the range of the experiments with no vibration reported in Fig. 2(c), and the solid vertical line shows the separation between fast(v¯ > 1) and slow(v¯ < 1) injection speeds.

Grahic Jump Location
Fig. 4

Normalized helical initiation length, l¯h, versus dimensionless acceleration, Γ, for a rod injected into a pipe with D = 21.7 mm and Δr = 9.3 mm. The error bars on the experimental data are the standard deviations of 5 runs per injection speed. For all runs, the injection speed was v = 0.1 m/s (fast injection speed for all cases) and three vibration frequencies were tested, f = {50, 100, and 200} Hz. The dashed lines represent the range of the experiments with no vibration reported in Fig. 2(c).

Grahic Jump Location
Fig. 5

Normalized helix initiation length, l¯h, versus vibration frequency, f, for glass pipes with different radial clearances (see legend), at Γ = 1.75 and v¯=0.1. Solid lines indicate radial clearances exhibiting resonant peaks (Δr = {3.2, 4.4, and 9.3} mm), while dashed lines indicate radial clearances which exhibit no such peaks (Δr = {1.75, 6.6, and 7.7} mm).

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