Technical Papers
Jul 24, 2021

Modeling of Corrosion Pit Growth for Buried Pipeline Considering Spatial and Temporal Variability

Publication: Journal of Engineering Mechanics
Volume 147, Issue 10

Abstract

Corrosion of metal in soils has been intensively investigated in the past. However, a review of the published literature shows that there are challenges for researchers to accurately predict the corrosion growth of buried pipes with spatial and temporal variations. This paper intends to develop a methodology to predict the corrosion pit growth for buried pipelines by thoroughly considering the spatial and temporal variability of corrosion processes. The developed method integrates the corrosion science, conditional random field theory, stochastic process, and copula method into an interrelated simulation algorithm for generating corrosion pit growth fields. It is found in the paper that the shape parameter and rate parameter of the gamma process, as well as the correlation structure of corrosion processes, are not only time-variant but also exhibit spatial variability with time. It is also found that the developed method is much superior to other methods in terms of accuracy and effectiveness. The proposed method considers the correlation between corrosion processes in a long pipeline, which is more practical. It can be concluded that generating an accurate corrosion growth field fully requires consideration of the spatial and temporal variability of model parameters.

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Data Availability Statement

All of the data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

Financial support from the Australian Research Council (DP140101547, LP150100413, and DP170102211), and the National Natural Science Foundation of China (Grant No. 51820105014) is gratefully acknowledged.

References

Alamilla, J. L., M. A. Espinosa-Medina, and E. Sosa. 2009. “Modelling steel corrosion damage in soil environment.” Corrosion Sci. 51 (11): 2628–2638.
Caleyo, F., J. C. Velázquez, A. Valor, and J. M. Hallen. 2009. “Markov chain modelling of pitting corrosion in underground pipelines.” Corros. Sci. 51 (9): 2197–2207. https://doi.org/10.1016/j.corsci.2009.06.014.
Cherubini, U., E. Luciano, and W. Vecchiato. 2004. Copula methods in finance. New York: Wiley.
Cho, S. E. 2010. “Probabilistic assessment of slope stability that considers the spatial variability of soil properties.” J. Geotech. Geoenviron. Eng. 136 (7): 975–984. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000309.
Cole, I. S., and D. Marney. 2012. “The science of pipe corrosion: A review of the literature on the corrosion of ferrous metals in soils.” Corrosion Sci. 56: 5–16.
Coulbeck, B., and E. P. Evans. 1992. Pipeline systems. Berlin: Springer. https://doi.org/10.1007/978-94-017-2677-1.
Davis, M. W. 1987. “Production of conditional simulations via the LU triangular decomposition of the covariance matrix.” Math. Geol. 19 (2): 91–98. https://doi.org/10.1007/BF00898189.
Devore, J. L. 2012. Probability and statistics for engineering and the sciences. Boston: Cengage Learning.
Fenton, G. A. 1997. “Data analysis/geostatistics.” Probab. Methods Geotech. Eng. 97: 51–73.
Fenton, G. A., and D. V. Griffiths. 2003. “Bearing-capacity prediction of spatially random cφ soils.” Can. Geotech. J. 40 (1): 54–65. https://doi.org/10.1139/t02-086.
Gong, C., and D. M. Frangopol. 2020. “Time-variant hull girder reliability considering spatial dependence of corrosion growth, geometric and material properties.” Reliab. Eng. Syst. Saf. 193 (Jan): 106612. https://doi.org/10.1016/j.ress.2019.106612.
Griffiths D. V., and G. A. Fenton 2007. Vol. 491 of Probabilistic methods in geotechnical engineering. New York: Springer.
Gupta, S. K., and B. K. Gupta. 1979. “The critical soil moisture content in the underground corrosion of mild steel.” Corros. Sci. 19 (3): 171–178. https://doi.org/10.1016/0010-938X(79)90015-5.
Li, C. Q., A. Firouzi, and W. Yang. 2017. “Prediction of pitting corrosion–induced perforation of ductile iron pipes.” J. Eng. Mech. 143 (8): 04017048. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001258.
Makar, J. M., R. Desnoyers, and S. E. McDonald. 2001. “Failure modes and mechanisms in grey cast iron pipe.” In Proc., Int. Conf. on Underground Infrastructure Research, edited by M. Knight and N. Thomson, 303–312. Boca Raton, FL: CRC Press.
Melchers, R. E. 2018. “Progress in developing realistic corrosion models.” Struct. Infrastruct. Eng. 14 (7): 843–853. https://doi.org/10.1080/15732479.2018.1436570.
Melchers, R. E., and R. Jeffrey. 2008. “The critical involvement of anaerobic bacterial activity in modelling the corrosion behaviour of mild steel in marine environments.” Electrochim. Acta 54 (1): 80–85. https://doi.org/10.1016/j.electacta.2008.02.107.
Miran, S. A., Q. Huang, and H. Castaneda. 2016. “Time-dependent reliability analysis of corroded buried pipelines considering external defects.” J. Infrastruct. Syst. 22 (3): 04016019. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000307.
Moore, T. J., and C. T. Hallmark. 1987. “Soil properties influencing corrosion of steel in Texas soils.” Soil Sci. Soc. Am. J. 51 (5): 1250–1256. https://doi.org/10.2136/sssaj1987.03615995005100050029x.
Mughabghab, S. F., and T. M. Sullivan. 1988. Investigation of the pitting corrosion of low carbon steel containers. Upton, NY: Brookhaven National Lab.
Nelsen, R. B. 2007. An introduction to copulas. New York: Springer.
Norin, M., and T. G. Vinka. 2003. “Corrosion of carbon steel in filling material in an urban environment.” Mater. Corros. 54 (9): 641–651. https://doi.org/10.1002/maco.200303680.
Phoon, K. K., S. P. Huang, and S. T. Quek. 2002. “Implementation of Karhunen–Loeve expansion for simulation using a wavelet-Galerkin scheme.” Probab. Eng. Mech. 17 (3): 293–303. https://doi.org/10.1016/S0266-8920(02)00013-9.
Romanoff, M. 1957. Underground corrosion. Washington, DC: US Government Printing Office.
Rossum, J. R. 1969. “Prediction of pitting rates in ferrous metals from soil parameters.” J. Am. Water Works Assn. 61 (6): 305–310. https://doi.org/10.1002/j.1551-8833.1969.tb03761.x.
Sancy, M., Y. Gourbeyre, E. M. M. Sutter, and B. Tribollet. 2010. “Mechanism of corrosion of cast iron covered by aged corrosion products: Application of electrochemical impedance spectrometry.” Corros. Sci. 52 (4): 1222–1227. https://doi.org/10.1016/j.corsci.2009.12.026.
Van Doorn, J., A. Ly, M. Marsman, and E. J. Wagenmakers. 2018. “Bayesian inference for Kendall’s rank correlation coefficient.” Am. Stat. 72 (4): 303–308. https://doi.org/10.1080/00031305.2016.1264998.
Vanmarcke, E. 2010. Random fields: Analysis and synthesis. Hackensack, NJ: World Scientific.
Velázquez, J. C., F. Caleyo, A. Valor, and J. M. Hallen. 2009. “Predictive model for pitting corrosion in buried oil and gas pipelines.” Corrosion 65 (5): 332–342. https://doi.org/10.5006/1.3319138.
Wang, Q., H. Chen, R. Hu, and P. Constantine. 2011. “Conditional sampling and experiment design for quantifying manufacturing error of transonic airfoil.” In Proc., 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 658. Reston, VA: American Institute of Aeronautics and Astronautics.
Wang, W., D. Robert, A. Zhou, and C. Q. Li. 2018. “Factors affecting corrosion of buried cast iron pipes.” J. Mater. Civ. Eng. 30 (11): 04018272. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002461.
Wang, W., W. Shi, and C. Q. Li. 2019. “Time dependent reliability analysis for cast iron pipes subjected to pitting corrosion.” Int. J. Press. Vessels Pip. 175 (Aug): 103935. https://doi.org/10.1016/j.ijpvp.2019.103935.
Wang, W., Y. Wei, S. Wenhai, and C. Q. Li. Forthcomina. “Modelling of corrosion pit growth in buried steel pipes.” J. Mater. Civ. Eng.
Ye, Z. S., and M. Xie. 2015. “Stochastic modelling and analysis of degradation for highly reliable products.” Appl. Stochastic Models Bus. Ind. 31 (1): 16–32. https://doi.org/10.1002/asmb.2063.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 147Issue 10October 2021

History

Received: Jul 21, 2020
Accepted: Mar 12, 2021
Published online: Jul 24, 2021
Published in print: Oct 1, 2021
Discussion open until: Dec 24, 2021

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Authors

Affiliations

Weigang Wang [email protected]
Research Fellow, School of Engineering, Royal Melbourne Institute of Technology Univ., Melbourne 3001, Australia. Email: [email protected]
Lecturer, Faculty of Architecture, Building and Planning, Univ. of Melbourne, Melbourne 3010, Australia. Email: [email protected]
Associate Professor, School of Engineering, Royal Melbourne Institute of Technology Univ., Melbourne 3001, Australia. Email: [email protected]
Chun-Qing Li [email protected]
Professor, School of Engineering, Royal Melbourne Institute of Technology Univ., Melbourne 3001, Australia (corresponding author). Email: [email protected]

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Cited by

  • Failure prediction of buried pipeline by network-based geospatial-temporal solution, Tunnelling and Underground Space Technology, 10.1016/j.tust.2022.104739, 130, (104739), (2022).

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