Volume 16, no. 1Pages 23 - 34

# Mathematical Modelling of the Cathodically Polarized Pipeline Electric Field Taking into Account External and Internal Insulation Coating

V.N. Krizskiy, P.N. Alexandrov, O.V. Kosarev, Y.A. Luntovskaya
Formation of mathematical models for correct calculation of cathodic protection system parameters in order to protect pipelines from corrosion formation on pipe metal is an urgent task. However, not all models take into account the necessary factors influencing the reliability of calculated indicators, on the basis of which the analysis and appropriate decisions about further pipeline operation are made. The authors of the article considers a task of calculation of electric parameters of cathodic protection system for underground pipeline, located in a homogeneous half-space taking into account transition resistance of external and internal layers of insulation. To solve this problem the discretization method was used.
Full text
Keywords
cathodic protection; main pipeline; mathematical modeling of electric field; external and internal insulation resistance.
References
1. Idrisov R.H., Idrisova K.R., Kormakova D.S. Analysis of Accident Rate of Main Pipelines of Russia. Transport and Storage of Oil Products and Hydrocarbon Raw Materials, 2019, no. 2, pp. 44-46.
2. Bolobov V.I., Popov G.G. Use of Magnetic Anisotropy Method for Assessing Residual Stresses in Metal Structures. Key Engineering Materials, 2020, no. 10, pp. 10-15.
3. Bolobov V.I., Popov G.G. Methodology of Testing Pipeline Steels for Resistance to Brook Corrosion. Notes of the Mining Institute, 2021, vol. 252, no. 6, pp. 854-860. DOI: 10.31897/PMI.2021.6.7
4. Steel Trunk Pipelines. General Requirements for Corrosion Protection: GOST R 51164-98. Moscow, IPK Publishing House of Standards, 1998.
5. Methodology for Determination of Residual Service Life of Insulation Coatings of Underground Pipelines. Guiding document: RD 39R-00147105-025-02. Moscow, Publishing House of Scientific and Technical Literature ``Monograph'', 2002.
6. Bakhtizin R.N., Zaripov R.M., Korobkov G.E. et al. Assessment of the Effect of Internal Pressure Causing Additional Bending of the Pipeline. Notes of the Mining Institute, 2020, vol. 242, pp. 160-168. DOI: 10.31897/PMI.2020.2.160
7. Dzhala R., Dzhala V., Savula R. et al. Determination of Components of Transient Resistance of Underground Pipeline. Procedia Structural Integrity, 2019, no. 16, pp. 218-222.
8. Ayadi A., Ghorbel O., BenSalah M.S. et al. A Framework of Monitoring Water Pipeline Techniques Based on Sensors Technologies. Journal of King Saud University - Computer and Information Sciences, 2020, vol. 34, no. 3, pp. 47-57.
9. Pengyu Zhao, Tao Ying, Fuyong Cao. Designing Strategy for Corrosion-Resistant Mg Alloys Based on Film-Free and Film-Covered Models. Journal of Magnesium and Alloys. Available at: URL: https://www.sciencedirect.com/science/article/pii/S2213956721002280?via3Dihub (accessed on: 08.11.2022)
10. Kremcheev E.A., Danilov A.S., Smirnov Y.D. State of Metrological Support of Monitoring Systems Based on Unmanned Aircraft. Notes of the Mining Institute, 2019, vol. 235, pp. 96-105. DOI: 10.31897/pmi.2019.1.96
11. Grigoryev B.S., Eliseev A.A., Pogarskaya T.A. et al. Mathematical Modeling of Soil Crushing and Multiphase Flow of Drilling Mud During Well Drilling. Notes of the Mining Institute, 2019, vol. 235, pp. 16-22. DOI: 10.31897/pmi.2019.1.16
12. Shpenst V.A.,Morozova O.Yu., Beloshitsky A.A. Devices for Diagnostics of Electric Power Facilities Using Unmanned Aircraft Systems. Journal of Instrument Engineering, 2021, vol. 64, no. 6, pp. 503-508.
13. Shpenst V.A., Morozova O.Yu., Beloshitskiy A. A Comparison of Domestic Unmanned Aircraft Systems as Diagnostic Tools for Electric Power Facilities. Testing. Diagnostics, 2021, vol. 24, no. 2, pp. 58-63.
14. Morozova O.Y. Analysis of Typical Electric Power Facilities Requiring Remote Monitoring. Electrical and Electronic Engineering, 2020, pp. 1255-1257.
15. Matos L.C., Martins J.I. Analysis of an Educational Cathodic Protection System with a Single Drainage Point: Modeling and Experimental Validation in Aqueous Medium. Materials, 2018, no. 11, pp. 1-10.
16. Krizsky V.N., Viktorov S.V. On Adequacy of Mathematical Model of Current Distribution in System of Cathodic Protection of Pipeline. Proceedings of IX International Youth Scientific-Practical Conference, 2019, pp. 229-231.
17. Mustafin M.G., Bykasov D.A. Adjustment of Planned Surveying and Geodetic Networks Using Second-Order Nonlinear Programming Methods. Computation, 2021, no. 9, pp. 1-18.
18. Hameed K.W., Yaro A.S., Khadom A.A. Mathematical Model for Cathodic Protection in a Steel-Saline Water System. Journal of Taibah University for Science, 2015, vol. 10, no. 1, pp. 64-69.
19. Mansouri A., Binali A.E., Najeeb Khan et al. Three-Dimensional Modeling of In-Ground Cathodic Protection Systems with Deforming Anodes. Scientific Reports, 2021, no. 1, pp. 1-10.
20. Shafeek H., Soltan H.A., Abdel-Aziz M.H. Corrosion Monitoring in Pipelines with a Computerized System. Alexandria Engineering Journal, 2021, no. 6 (60), pp. 5771-5778.
21. Imanieh I., Afshar A. Corrosion protection of Aluminum by Smart Coatings Containing Layered Double Hydroxide (LDH) Nanocontainers. Journal of Materials Research and Technology, 2019, no. 3, pp. 3004-3023.
22. Rabbani M., Oo A.M. Electromagnetic Effect of Lightning Return Stroke to Buried Energy Pipelines. Energy Procedia, 2019, no. 160, pp. 467-474.
23. Dvoynikov M., Buslaev G., Kunshin A. New Concept of Hydrogen Production and Storage in Arctic Region. Resources, 2021, no. 10, pp. 1-18.
24. Mazakov E.B., Matrokhina K.V., Trofimets V.Y. Traffic Management at the Enterprises of the Mineral Industry. Advances in Raw Material Industries for Sustainable Development Goals, London, CRC Press, 2021.
25. Krizsky V.N., Aleksandrov P.N., Viktorov S.V. Mathematical Modeling of Magnetic Field of Cathode-Polarized Pipeline. Issues of Theory and Practice of Geological Interpretation of Gravitational, Magnetic and Electric Fields, 2019, pp. 207-212.