A Method to Estimate the Size of Corrosion Defects Based on Temperature Contrast Data Using Mathematical Models of Experimental Data Processing


For citation.
Starokon I.V., Kulikov A.V. A Method to Estimate the Size of Corrosion Defects Based on Temperature Contrast Data Using Mathematical Models of Experimental Data Processing. Bezopasnost Truda v Promyshlennosti = Occupational Safety in Industry. — 2025. — № 7. — рр. 20-25. (In Russ.). DOI: https://doi.org/10.24000/0409-2961-2025-7-20-25


Annotation:

Results of experimental data analysis obtained during tests dedicated to the investigation of temperature contrast between defective and defect-free sectors of materials have been provided.  The study is based on the information on temperature dynamics and thermal flow for nine samples with corrosion defects different in diameter and depth.
The main attention has been paid to the development of the methodology of corrosion defect geometric properties estimation using the analysis of temperature contrast occurring during the thermal impact on the studied samples. Two approaches have been used for data analysis. The first approach has implied an immediate description of the initial experimental data using polynomial regression. 
For the second approach, the data have been grouped based on similar parameters of defects with different depths, which helped build dependencies of temperature gradient on time and defect depth using the third-degree polynomials. The introduction of a generalized function dependent on time and depth enabled building a three-dimensional surface that illustrates changes in the temperature field under combinations of various parameters. By registering one parameter, two-dimensional sections can be obtained. This approach in total provides a full-fledged representation of temperature distribution dynamics. 
To solve implicit equations in order to determine the depth of a defect using preset values of thermal flow temperature and dynamics, iterative computations in Jupyter Notebook have been used. The provided tables with calculation results confirm the applicability of the developed methodology, that not only successfully approximates experimental data but also helps calculate geometrical parameters of a defect, which is relevant for the practical use and the evaluation of the technical state of structures exposed to corrosive processes. 

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DOI: https://doi.org/10.24000/0409-2961-2025-7-20-25
Year: 2025
Issue num: July
Keywords : non-destructive testing коррозионный дефект temperature contrast thermal control method mathematical data processing polynomial regression approximation offshore oil and gas facilities
Authors:
  • Starokon I.V.
    Cand. Sci. (Eng.), Assoc. Prof., Head of the Department, starokon79@mail.ru National University of Oil and Gas “Gubkin University”, Moscow, Russian Federation
  • Kulikov A.V.
    Master's Student, Kab2420001@mail.ru National University of Oil and Gas “Gubkin University”, Moscow, Russian Federation