Application of the interval approach to determine the exploitation time of pipelines

Authors

DOI:

https://doi.org/10.24425/ace.2024.148914

Abstract

The fundamental problem from the point of view of pipeline exploitation in KGHM Polska Miedz S.A. is the very high overwearing of the pipes used for the transport of tailings, as well as determining the time of trouble-free operation of pipe system components. Failures involve significant financial outlays, severe restrictions on operation and in some cases even stopping operation. For this reason, it is vital to monitor the condition of the transport systems, as well as to determine the permissible service life of the pipe sections, after which segments at risk should be replaced or turned over in order to extend their further operation. This paper focuses on the application of interval numbers to assess the durability of piping systems. The calculations were made using classical interval numbers by using code written in INTLAB libraries. The correctness of the solutions obtained was verified using the Monte Carlo method, assuming a uniform distribution of random variables.

References

[1] H.C. Meng and K.C. Ludema, “Wear models and predictive equations: their form and content”, Wear, vol. 181–183, pp. 443–457, 1995, doi: 10.1016/0043-1648(95)90158-2.

[2] A.M. Lospa, R.G. Ripeanu, and A. Dinita, “Erosion modelling: a systematic review of available models and equations”, IOP Conference Series: Materials Science and Engineering, vol. 724, no. 1, art. no. 012037, 2020, doi: 10.1088/1757-899X/724/1/012037.

[3] R. Cuamatzi-Meléndez, M. Hernandez Rojo, A. Vázquez-Hernández, and F. L. Silva-González, “Predicting erosion in wet gas pipelines/elbows by mathematical formulations and computational fluid dynamics modeling”, Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol. 232, no. 10, pp. 1240–1260, 2018, doi: 10.1177/1350650117745418.

[4] S.M. Rump and M. Kashiwagi, “Implementation and improvements of affine arithmetic”, Nonlinear Theory and Its Applications, IEICE, vol. 6, no. 3, pp. 341–359, 2015, doi: 10.1587/nolta.6.341.

[5] A. Neumaier, Interval methods for systems of equations (encyclopedia of mathematics and its applications). Cambridge: Cambridge University Press, 1991, doi: 10.1017/CBO9780511526473.

[6] G.I. Hargreaves, Interval analysis in matlab. Manchester, UK: The University of Manchester, 2002. [Online]. Available: https://eprints.maths.manchester.ac.uk/1204/1/narep416.pdf. [Accesed: 17. Oct. 2017].

[7] M. Sága, V. Dekýš, and M. Vaško, “Some aspects of probability and possibility theories for numerical analysis of uncertain mechanical systems”, Acta Mechanica Slovaca, vol. 14, no. 4, pp. 92–101, 2010, doi: 10.2478/v10147-011-0039-3.

[8] E. Hansen, “Interval arithmetic in matrix computations, part I”, Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, vol. 2, no. 2, pp. 308–320, 1965, doi: 10.1137/0702025.

[9] E. Hansen and R. Smith, “Interval arithmetic in matrix computations, part II”, SIAM Journal on Numerical Analysis, vol. 4, no. 1, pp. 1–9, 1967, doi: 10.1137/0704001.

[10] G. Mayer, Interval analysis: and automatic result verification. Berlin, Boston: De Gruyter, 2017, doi: 10.1515/9783110499469.

[11] N. Metropolis and S. Ulam, “The Monte Carlo method”, Journal of the American Statistical Association, vol. 44, no. 247, pp. 335–341, 1949, doi: 10.2307/2280232.

[12] C. Szydłowski, Ł. Smakosz, M. Stienss, and J. Górski, “Monte Carlo simulations of the fracture resistance degradation of asphalt concrete subjected to environmental factors”, Archives of Civil Engineering, vol. 69, no. 1, pp. 245–257, 2023, doi: 10.24425/ace.2023.144171.

[13] K. Magnucki, Wytrzymałosc i optymalizacja zbiorników cienkosciennych. Warszawa–Poznan, Polska: Wydawnictwo Naukowe PWN, 1998.

[14] R.D. Richtmyer and R.E. Moore, “Interval analysis”, Mathematics of Computation, vol. 22, no. 101, pp. 219–222, 1968, doi: 10.2307/2004792.

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Published

2024-03-30

How to Cite

Duszyńska, Iwona, et al. “Application of the Interval Approach to Determine the Exploitation Time of Pipelines”. Archives of Civil Engineering, vol. 70, no. 1, Mar. 2024, pp. 325-3, doi:10.24425/ace.2024.148914.

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