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[1] Mujezinović, A., Martinez, S. & Muharemović, A., Mathematical model for cathodic protection of the underground pipelines. 25th International Expert Meeting Komunalna Energetika/Power Engineering, 2016.
[2] Riemer, D.P., Modeling cathodic protection for pipeline networks, PhD Theses, University of Florida, USA, Florida, 2000.
[3] Adey, R.A. & Hang, P.Y., Computer simulation as an aid to corrosion control and reduction. NACE Corrosion Conference, USA, Texas, San Antonio, 1999.
[4] Amaya, K., Mathematical modeling for corrosion analysis. Modelling of Cathodic Protection Systems, 12(1), pp. 1–12, 2005. [Crossref]
[5] Riemer, D.P. & Orazem, M.E., Modeling coating flaws with non-linear polarization curves for long pipelines. Corrosion and Boundary Element Methods, Advances in Boundary Elements, 12(1), pp. 225–259, 2005.
[6] Santiago, J.A.F. & Telles, J.C.F., On boundary elements for simulation of cathodic protection system with dynamic polarization curves. International Journal for Numerical Methods in Engineering, 40(14), pp. 2611–2627, 1997. <2611::AID-NME178>3.0.CO;2-P [Crossref]
[7] Santiago, J.A.F. & Telles, J.C.F., A solution technique for cathodic protection system with dynamic boundary conditions by the boundary element method. Advances in Engineering Software, 30(9), pp. 663–671, 1999. [Crossref]
[8] Muharemovic, A., Zildzo, H., Behlilovic, N. & Turkovic, I., Numerical model for calculation of parameters of cathodic protection system with galvanic anodes. XXII International Symposium on Information, Communication and Automation Technologies (ICAT), 2009.
[9] Muharemovic, A., Zildzo, H. & Letic, E., Modelling of protective potentials distribution in cathodic protection systems using cupled BEM/FEM method. In 30th International conference on Boundary Elements Method and Other Reduction Methods, BEM/MRM 30, Maribor, Slovenia, 2008. [Crossref]
[10] Muharemovic, A., Turkovic, I., Muharemovic, A., Tasakovic, S. & Mujezinovic, A., Calculation methods of cathodic protection system parameters with vertical anodie zinc strings. 20th International Expert Meeting, Power Engineering, Maribor, Slovenia, 2011. [Crossref]
[11] Martinez, S., Evaluation of the uniform current density assumption in cathodic protection systems with close anode-to-cathode arrangement. Materials and Corrosion, 61(4), pp. 338–342, 2010.
[12] Mujezinović, A., Turković, I., Martinez, S., Milojković, S., Modelling of the cathodic protection system with dynamic non-linear polarization characteristics. XXV International Conference on Information, Communication and Automation Technologies (ICAT), 2015. [Crossref]
[13] Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C., Boundary Element Techniques Theory and Applications in Engineering, Springer-Verlag: Berlin/Heidelberg, 1984.
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Open Access
Research article

Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters

adnan mujezinović1,
sanja martinez2,
alija muharemović1,
irfan turković1
1
Faculty of Electrical Engineering, University of Sarajevo, Bosnia and Herzegovina
2
Faculty of Chemical Engineering and Technology, University of Zagreb, Croatia
International Journal of Computational Methods and Experimental Measurements
|
Volume 5, Issue 5, 2017
|
Pages 659-666
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
View Full Article|Download PDF

Abstract:

Cathodic protection (CP) is a technique that prevents corrosion of underground metallic structures. Design of any CP system first requires defining the protection of current density and potential distribution, which should meet the given criterion. It also needs to provide, as uniform as possible, current density distribution on the protected object surface. Determination of current density and potential distribution of CP system is based on solving the Laplace partial differential equation. Mathematical model, along with the Laplace equation, is represented by two additional equations that define boundary conditions. These two equations are non-linear and they represent the polarization curves that define the relationship between current density and potential on electrode surfaces. Nowadays, the only reliable way to determine current density and potential distribution is by applying numerical techniques. This paper presents efficient numerical techniques for the calculation of current density and potential distribution of CP system based on the coupled boundary element method (BEM) and finite element method (FEM).

Keywords: Boundary Element/Finite Element Method (BEM/FEM), Cathodic Protection (CP), non-linear boundary conditions, potential distribution
Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

References
[1] Mujezinović, A., Martinez, S. & Muharemović, A., Mathematical model for cathodic protection of the underground pipelines. 25th International Expert Meeting Komunalna Energetika/Power Engineering, 2016.
[2] Riemer, D.P., Modeling cathodic protection for pipeline networks, PhD Theses, University of Florida, USA, Florida, 2000.
[3] Adey, R.A. & Hang, P.Y., Computer simulation as an aid to corrosion control and reduction. NACE Corrosion Conference, USA, Texas, San Antonio, 1999.
[4] Amaya, K., Mathematical modeling for corrosion analysis. Modelling of Cathodic Protection Systems, 12(1), pp. 1–12, 2005. [Crossref]
[5] Riemer, D.P. & Orazem, M.E., Modeling coating flaws with non-linear polarization curves for long pipelines. Corrosion and Boundary Element Methods, Advances in Boundary Elements, 12(1), pp. 225–259, 2005.
[6] Santiago, J.A.F. & Telles, J.C.F., On boundary elements for simulation of cathodic protection system with dynamic polarization curves. International Journal for Numerical Methods in Engineering, 40(14), pp. 2611–2627, 1997. <2611::AID-NME178>3.0.CO;2-P [Crossref]
[7] Santiago, J.A.F. & Telles, J.C.F., A solution technique for cathodic protection system with dynamic boundary conditions by the boundary element method. Advances in Engineering Software, 30(9), pp. 663–671, 1999. [Crossref]
[8] Muharemovic, A., Zildzo, H., Behlilovic, N. & Turkovic, I., Numerical model for calculation of parameters of cathodic protection system with galvanic anodes. XXII International Symposium on Information, Communication and Automation Technologies (ICAT), 2009.
[9] Muharemovic, A., Zildzo, H. & Letic, E., Modelling of protective potentials distribution in cathodic protection systems using cupled BEM/FEM method. In 30th International conference on Boundary Elements Method and Other Reduction Methods, BEM/MRM 30, Maribor, Slovenia, 2008. [Crossref]
[10] Muharemovic, A., Turkovic, I., Muharemovic, A., Tasakovic, S. & Mujezinovic, A., Calculation methods of cathodic protection system parameters with vertical anodie zinc strings. 20th International Expert Meeting, Power Engineering, Maribor, Slovenia, 2011. [Crossref]
[11] Martinez, S., Evaluation of the uniform current density assumption in cathodic protection systems with close anode-to-cathode arrangement. Materials and Corrosion, 61(4), pp. 338–342, 2010.
[12] Mujezinović, A., Turković, I., Martinez, S., Milojković, S., Modelling of the cathodic protection system with dynamic non-linear polarization characteristics. XXV International Conference on Information, Communication and Automation Technologies (ICAT), 2015. [Crossref]
[13] Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C., Boundary Element Techniques Theory and Applications in Engineering, Springer-Verlag: Berlin/Heidelberg, 1984.
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Mujezinović, A., Martinez, S., Muharemović, A., & Turković, I. (2017). Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters. Int. J. Comput. Methods Exp. Meas., 5(5), 659-666. https://doi.org/10.2495/CMEM-V5-N5-659-666
A. Mujezinović, S. Martinez, A. Muharemović, and I. Turković, "Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters," Int. J. Comput. Methods Exp. Meas., vol. 5, no. 5, pp. 659-666, 2017. https://doi.org/10.2495/CMEM-V5-N5-659-666
@research-article{Mujezinović2017ApplicationOT,
title={Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters},
author={Adnan Mujezinović and Sanja Martinez and Alija Muharemović and Irfan Turković},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2017},
page={659-666},
doi={https://doi.org/10.2495/CMEM-V5-N5-659-666}
}
Adnan Mujezinović, et al. "Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters." International Journal of Computational Methods and Experimental Measurements, v 5, pp 659-666. doi: https://doi.org/10.2495/CMEM-V5-N5-659-666
Adnan Mujezinović, Sanja Martinez, Alija Muharemović and Irfan Turković. "Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters." International Journal of Computational Methods and Experimental Measurements, 5, (2017): 659-666. doi: https://doi.org/10.2495/CMEM-V5-N5-659-666
MUJEZINOVIĆ A， MARTINEZ S， MUHAREMOVIĆ A， et al. Application of the Coupled BEM/FEM Method for Calculation of Cathodic Protection System Parameters[J]. International Journal of Computational Methods and Experimental Measurements， 2017， 5(5)： 659-666. https://doi.org/10.2495/CMEM-V5-N5-659-666