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Research Papers: Design and Analysis

Prediction of Burst Pressure of Pipes With Geometric Eccentricity

[+] Author and Article Information
Zhanfeng Chen

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory
of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China

Weiping Zhu

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory
of Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: wpzhu@shu.edu.cn

Qinfeng Di

Shanghai Institute of Applied Mathematics
and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory of
Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China
e-mail: qinfengd@sina.com

Wenchang Wang

Shanghai Institute of
Applied Mathematics and Mechanics,
Shanghai University,
Shanghai 200072, China
Shanghai Key Laboratory of
Mechanics in Energy Engineering,
Shanghai University,
Shanghai 200072, China

1Corresponding authors.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received January 4, 2013; final manuscript received February 1, 2015; published online April 16, 2015. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(6), 061201 (Dec 01, 2015) (8 pages) Paper No: PVT-13-1004; doi: 10.1115/1.4029792 History: Received January 04, 2013; Revised February 01, 2015; Online April 16, 2015

An analytical model was proposed in this paper to predict the burst pressure of a pipe with geometric eccentricity. With application of the complex elastic potential function method in a bipolar coordinate system, the authors first derived an analytical solution of stresses in an eccentric pipe and then obtained the formula of predicting burst pressure by combining the solution with the Tresca criterion. Finally, the effect of eccentricity and the ratio of thickness to diameter of pipe on burst pressure were discussed. Our results show that a slight eccentricity can significantly decrease the burst pressure. In the special case of zero-eccentricity for a concentric pipe, our model yields results that are consistent with experiments data published by others and theoretical results predicted by models proposed by other researchers without considering the effect of eccentricity. In the case of eccentricity for an eccentric pipe, the calculating results of our model are also consistent with that of finite element model (FEM). The theoretical model and results presented in this paper have a broader application in predicting the burst pressure for pipes commonly used in oil and gas industry.

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Topics: Pressure , Pipes , Stress
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References

Zhu, X., and Leis, B. N., 2012, “Evaluation of Burst Pressure Prediction Models for Line Pipes,” Int. J. Pressure Vessels Piping, 89, pp. 85–97. [CrossRef]
Lasebikan, B. A., and Akisanya, A. R., 2014, “Burst Pressure of Super Duplex Stainless Steel Pipes Subject to Combined Axial Tension, Internal Pressure, and Elevated Temperature,” Int. J. Pressure Vessels Piping, 119, pp. 62–68. [CrossRef]
Aseer Brabin, T., Christopher, T., and Nageswara Rao, B., 2011, “Bursting Pressure of Mild Steel Cylindrical Vessels,” Int. J. Pressure Vessels Piping, 88(2–3), pp. 119–122. [CrossRef]
API Specification 5CT, 2005, Specification for Casing and Tutoring, American Petroleum Institute, Washington, DC.
Sun, L., Gao, D., and Zhu, K., 2012, “Models & Tests of Casing Wear in Drilling for Oil & Gas,” J. Natural Gas Sci. Eng., 4, pp. 44–47. [CrossRef]
Gao, D. L., Sun, L. Z., and Lian, J. H., 2010, “Prediction of Casing Wear in Extended-Reach Drilling,” J. Pet. Sci., 7(4), pp. 494–501. [CrossRef]
Law, M., and Bowie, G., 2006, “Failure Strain in High Yield-to-Tensile Ratio Line Pipes,” J. Pipeline Integr., 5, pp. 25–36.
Law, M., and Bowie, G., 2007, “Prediction of Failure Strain and Burst Pressure in High Yield-to-Tensile Strength Ratio Line Pipe,” Int. J. Pressure Vessels Piping, 84(8), pp. 487–492. [CrossRef]
Stewart, G., Klever, F. J., and Ritchie, D., 1994, “An Analytical Model to Predict the Burst Capacity of Pipelines,” ASME Proceedings of the Offshore Mechanics and Arctic Engineering (OMAE) Conference on Pipeline Technology, Houston, Vol. 5, pp. 177–188.
Nadai, A., 1931, Plasticity, McGraw-Hill, New York.
Nadai, A., 1950, Theory of Flow and Fracture of Solids, McGraw-Hill, New York.
Soderberg, C. R., 1941, Interpretation of Creep Tests on Tubes, Trans. ASME, New York, pp. 737–748.
Faupel, J. H., 1956, “Yielding and Bursting Characteristics of Heavy Walled Cylinders,” ASME J. Appl. Mech., 78, pp. 1031–1064.
Marin, J., and Sharma, M. G., 1958, Design of a Thin Walled Cylindrical Vessel Based Upon Plastic Range and Considering Anisotropy, Welding Research Council Bulletin, Welding Research Council, Shaker Heights, OH.
Marin, J., and Rimrott, F. P. J., 1958, Design of Thick Walled Pressure Vessels Based Upon the Plastic Range, Vol. 40, Welding Research Council Bulletin, Welding Research Council, Shaker Heights, OH.
Svensson, N. L., 1958, “Bursting Pressure of Cylindrical and Spherical Pressure Vessels,” ASME J. Appl. Mech., 80, pp. 89–96.
American Petroleum Institute, 1992, Bulletin on Formulas and Calculations for Casing, Tubing, Drill Pipe, and Line Pipe Properties, API Bullet, Washington, DC.
Bohm, G. J., Cloud, R. L., Hsu, L. C., Pai, D. H., and Reedy, R. F., 1972, Pressure Vessels and Piping—Design and Analysis—A Decade of Progress (Analysis for Design), Vol. 1, American Society of Mechanical Engineers, New York, pp. 23–32.
Turner, L. B., 1910, “The Stresses in a Thick Hollow Cylinder Subjected to Internal Pressure,” Trans. Cambridge Philos. Soc., 21, pp. 377–396.
Bailey, R. W., 1930, Thick-Walled Tubes and Cylinder Sunder High Pressure and Temperatures, Engineering, London, pp. 129, 772–777, 785–786,818–819.
ASME, 1962, Boiler and Pressure Vessels Code, American Society of Mechanical Engineers, New York.
DNV, 1999, Corroded Pipelines, DNV Recommended Practice, DNV RP-F101, Det Norske Veritas. Hovik, Norway.
Fletcher, L., 2003, private communication.
Christopher, T., Rama Sarma, B. S. V., Govindan Potti, P. K., Nageswara Rao, B., and Sankarnarayanaswamy, K., 2002, “A Comparative Study on Failure Pressure Estimations of Unflawed Cylindrical Vessels,” Int. J. Pressure Vessels Piping, 79(1), pp. 53–66. [CrossRef]
Klever, F., 1992, “Burst Strength of Corroded Pipe: Flow Stress Revisited,” Proceedings of the Offshore Technology Conference (OTC), Houston, Paper No. OTC07029.
Klever, F. J., and Stewart, G., 1998, “Analytical Burst Strength Prediction of OCTG With and Without Defects,” Society of Petroleum Engineers, SPE Paper No. 48329.
Zhu, X., and Leis, B. N., 2004, “Strength Criteria and Analytic Predictions of Failure Pressure in Line Pipes,” International Journal of Offshore and Polar Engineering, 14(2), pp. 125–131.
Zhu, X. K., and Leis, B. N., 2004, “Accurate Prediction of Burst Pressure for Line Pipes,” J. Pipeline Integr., 4, pp. 195–206.
Zhu, X. K., and Leis, B. N., 2006, “Average Shear Stress Yield Criterion and Its Application to Plastic Collapse Analysis of Pipelines,” Int. J. Pressure Vessels Piping, 83(9), pp. 663–671. [CrossRef]
Margetson, J., 1978, “Burst Pressure Predictions of Rocket Motors,” AIAA Paper No. 78-1569. [CrossRef]
API Spec 5L, 2012, Specification for Line Pipe, 44th ed., American Petroleum Institute, Washington, DC.
Anon, 1986, Manual for Determining the Remaining Strength of Corroded Pipelines: ASME Guide for Gas Transmission and Distribution Piping Systems B31G, American Society of Mechanical Engineers, New York.
Choi, J. B., Goo, B. K., Kim, J. C., Kim, Y. J., and Kim, W. S., 2003, “Development of Limit Load Solutions for Corroded Gas Pipelines,” Int. J. Pressure Vessels Piping, 80(2), pp. 121–128. [CrossRef]
Kiefner, J. F., and Vieth, P. H., 1989, A Modified Criterion for Evaluating the Remaining Strength of Corroded Pipe, American Gas Association Catalog, Paper No. L51609.
Huang, X., Chen, Y., Lin, K., Mihsein, M., Kibble, K., and Hall, R., 2007, “Burst Strength Analysis of Casing With Geometrical Imperfections,” ASME J. Pressure Vessel Technol., 129(4), pp. 763–770. [CrossRef]
Timoshenko, S. P., and Goordier, J. N., 1972, Theory of Elasticity, McGraw-Hill, New York, pp. 196–202.
Jeffery, G. B., 1921, “Plane Stress and Plane Strain in Bipolar Co-Ordinates,” Philos. Trans. R. Soc. London Ser. A, 221, pp. 265–293. [CrossRef]
Radi, E., and Strozzi, A., 2009, “Jeffery Solution for an Elastic Disk Containing a Sliding Eccentric Circular Inclusion Assembled by Interference Fit,” Int. J. Solids Struct., 46(25–26), pp. 4515–4526. [CrossRef]
Duc Khoi, V., 2001, Dual Limit and Shakedown Analysis of Structures, University of Liege, Liege, Belgium.
Huang, X., Mihsein, M., Kibble, K., and Hall, R., 2000, “Collapse Strength Analysis of Casing Design Using Finite Element Method,” Int. J. Pressure Vessels Piping, 77(7), pp. 359–367. [CrossRef]

Figures

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Fig. 1

Geometric description of an eccentric pipe’s cross section

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Fig. 2

Illustration of the bipolar coordinate system

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Fig. 3

Comparisons of the two dimensionless functions ln(k) and φe(k) in Eqs. (28) and (29)

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Fig. 4

Comparisons of the burst experiments and the present predictions from Table 1

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Fig. 5

Effect of eccentricity on pipe burst pressure. (a) Burst pressure ratio versus eccentricity and (b) burst pressure ratio versus thickness to diameter ratio

Tables

Errata

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