Possibilistic approach for consideration of uncertainties to estimate structural capacity of ageing cast iron water mains

Canadian Journal of Civil Engineering

Volumn 33, Issue 8, 2006, Pages 1050-1064

  Tesfamariam, Solomon ^a   Rajani, Balvant ^a   Sadiq, Rehan ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Fuzzy arithmetic; Pipe soil interaction; Possibility theory; Uncertainty analysis; Water mains

Indexed keywords

AGING OF MATERIALS; CAST IRON PIPE; FUZZY SETS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PITTING; RANDOM PROCESSES; SAFETY FACTOR; SENSITIVITY ANALYSIS;

FUZZY ARITHMETIC; PIPE-SOIL INTERACTION; POSSIBILITY THEORY; UNCERTAINTY ANALYSIS; WATER MAINS;

WATER PIPELINES;

AGING OF MATERIALS; CAST IRON PIPE; FUZZY SETS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PITTING; RANDOM PROCESSES; SAFETY FACTOR; SENSITIVITY ANALYSIS; WATER PIPELINES;

FUZZY MATHEMATICS; MONTE CARLO ANALYSIS; PIPELINE; SENSITIVITY ANALYSIS; SOIL-STRUCTURE INTERACTION; UNCERTAINTY ANALYSIS;

EID: 33846364025     PISSN: 03151468     EISSN: None     Source Type: Journal    
DOI: 10.1139/L06-042     Document Type: Article

References (39)

1. Ahammed, M., and Melchers, R.E. 1994. Reliability of underground pipelines subject to corrosion. ASCE Journal of Transportation Engineering, 120(6): 989-1002.
2. Alim, S. 1988. Application of Dempster-Shafer theory for interpretation of seismic parameters. ASCE Journal of Structural Engineering, 114(9): 2070-2084.
3. ASME. 1991. Manual for determining the remaining strength of corroded pipelines: a supplement to ASME B31G-1991 code for pressure piping. American Society of Mechanical Engineers (ASME), New York.
4. AWWA. 1977. American national standard for thickness design of cast-iron pipe. ANSI/AWWA C101-67 (R1977), American Water Works Association (AWWA), Denver, Colo.
5. Brander, R. 2001. Calgary's experience with corrosion of water mains 1970-2000. PVC News, 24(2): 1-3, 15.
6. Brander, R., and Ng, B. 2002. Developing a condition assessment technique for water mains. In Assessing the future: water utility infrastructure management. Edited by D.M. Huges. American Water Works Association (AWWA), Denver, Colo. Chapt. 12.
7. Coffin, L.F. 1950. The flow and fracture of a brittle material. Journal of Applied Mechanics, 181: 233-248.
8. Cooper, J.A., Ferson, S., and Cooper, D.K. 2000. Constrained mathematics for calculating logical safety and reliability probabilities with uncertain inputs. Journal of System Safety, 36: 23-29.
9. Cullen, A.C., and Frey, H.C. 1999. Probabilistic techniques in exposure assessment: a handbook for dealing with variability and uncertainty in models and inputs. Plenum Press, New York. 352 pp.
10. Dubois, F., and Prade, H. 1988. Possibility theory: an approach to computerized processing of uncertainty. Plenum Press, New York.
11. Ferson, S., and Ginzburg, L.R. 1996. Different methods are needed to propagate ignorance and variability. Reliability Engineering and System Safety, 54: 133-144.
12. Ferson, S., Joslyn, C.A., Helton, J.C., Oberkampf, W.L., and Sentz, K. 2004. Summary from the epistemic uncertainty workshop: consensus amid diversity. Reliability Engineering and System Safety, 85: 355-369.
13. Fisher, J.C. 1952. A criterion for the failure of cast iron. ASTM Bulletin, 181: 74-75.
14. Guyonnet, D., Côme, B., Perrochet, P., and Parriaux, A. 1999. Comparing two methods for addressing uncertainty in risk assessments. ASCE Journal of Environmental Engineering, 125(7): 660-666.
15. Guyonnet, D., Bourgine, B., Dubois, D., Fargier, H., Côme, B., and Chilès, J. 2003. Hybrid approach for addressing uncertainty in risk assessments. ASCE Journal of Environmental Engineering, 129(1): 68-78.
16. Hartman, W.F., and Karlson, K. 2002. Condition assessment of water mains using remote field technology. In INFRA 2002: Proceedings of the 8th Annual Infra Conference, Montréal, Que., 25-27 November 2002. CD-ROM. Centre d'expertise et de recherche infrastructures urbaines (CERIU), Québec City, Que.
17. Jackson, R.Z., Pitt, C., and Skabo, R. 1992. Non-destructive testing of water mains for physical integrity. American Water Works Association Research Foundation, Denver, Colo.
18. Joslyn, C.A., and Booker, J.M. 2004. Generalized information theory for engineering modeling and simulation. In Engineering design reliability handbook. Edited by E. Nikolaidis and D. Ghiocel. CD-ROM. CRC Press, Boca Raton, Fla. Chapt. 9, pp. 1-40.
19. Klir, G.J., and Yuan, B. 1995. Fuzzy sets and fuzzy logic: theory and applications. Prentice-Hall, Inc., Englewood Cliffs, N.J.
20. Lillie, K., Reed, C., Rodgers, M.A.R., Daniels, S., and Smart, D. 2004. Workshop on condition assessment devices for water transmission mains. American Water Works Association Research Foundation, Denver, Colo.
21. Mair, W.M. 1968. Fracture criteria for cast iron under biaxial stresses. Journal of Strain Analysis, 3(4): 254-263.
22. Melchers, R.E. 1987. Structural reliability: analysis and prediction. John Wiley & Sons, Inc., New York.
23. Moore, D.W. 1939. Discussion on the new law of design of cast iron pipe. Journal of the American Water Works Association, 31(10): 1655-1674.
24. Rajani, B., and Kleiner, Y. 2004. Non-destructive inspection techniques to determine structural distress indicators in water mains. In Proceedings of the Conference on Evaluation and Control of Water Loss in Urban Water Networks, Valencia, Spain, 21-25 June 2004. pp. 1-20.
25. Rajani, B., and Makar, J. 2000. A methodology to estimate remaining service life of grey cast iron water mains. Canadian Journal of Civil Engineering, 27(6): 1259-1272.
26. Rajani, B., and Tesfamariam, S. 2004. Uncoupled axial, flexural, and circumferential pipe-soil interaction analyses of partially supported jointed water mains. Canadian Geotechnical Journal, 41(6): 997-1010.
27. Rajani, B., and Zhan, C. 1996. On the estimation of frost loads. Canadian Geotechnical Journal, 33(4): 629-641.
28. Rajani, B., Zhan, C., and Kuraoka, S. 1996. Pipe-soil interaction analysis of jointed water mains. Canadian Geotechnical Journal, 33(3): 393-404.
29. Rajani, B., Makar, J., McDonald, S., Zhan, C., Kuraoka, S., Jen, C.-K., and Viens, M. 2000. Investigation of grey cast iron water mains to develop a methodology for estimating service life. American Water Works Association Research Foundation, Denver, Colo.
30. Ross, T. 2004. Fuzzy logic with engineering applications. 2nd ed. John Wiley & Sons, Inc., New York.
31. Sadiq, R., Rajani, B., and Kleiner, Y. 2004. Probabilistic risk analysis for corrosion associated failures in grey cast iron water mains. Reliability Engineering and System Safety, 86(1): 1-10.
32. Schlick, W.J. 1940. Supporting strength of cast iron pipe for gas and water services. Bulletin 146, Iowa Engineering Experimental Stations, Ames, Iowa.
33. Shackle, G.L.S. 1961. Decision, order and time in human affairs. Cambridge University Press, Cambridge, UK.
34. Smets, Ph. 2000. Data fusion in the transferable belief model. In Fusion 2000: Proceedings of the 3rd International Conference on Information Fusion, Paris, France, 10-13 July 2000. CNRS Press, Paris. pp. PS21-PS33.
35. Ugural, A.C., and Fenster, S.K. 1987. Advanced strength and applied elasticity. Elsevier Science Publishing Co., New York. 471 pp.
36. Watkin, R.K., and Anderson, L.R. 2000. Structural mechanics of buried pipes. CRC Press, Boca Raton, Fla. 464 pp.
37. Yager, R.R. 1988. On ordered weighted averaging aggregation in multicriteria decision making. IEEE Transactions on Systems, Man and Cybernetics, 18: 183-190.
38. Zadeh, L.A. 1965. Fuzzy sets. Information and Control, 8(3): 338-353.
39. Zadeh, L.A. 1978. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1(1): 3-28.