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When a metal or metal alloy is immersed in an electrolyte made of a conducting material of sufficient oxidizing power, such as moist soil, it will corrode according to a well-defined electrochemical mechanism. dc corrosion is a result of dissolution of material due to oxidizing reactions, liberating electrons and forming positive ions transported into the electrolyte, leading to material loss. The current-potential relationship governing this electrochemical process termed polarization, is non-linear. This relationship is often represented by a polarization curve, which is typically, an experimentally determined function. There are a number of parameters that can contribute to the final characteristics of the polarization curve within a system ranging from material parameters (e.g. material, geometry) to environmental factors (e.g. composition of the electrolyte).
This paper introduces a novel approach to analyze corrosion effects and to model electrochemical problems with non-linear boundary conditions. The computation of the electrical current distribution along protected structures is based on an automated algorithm involving the polarization curves and an integrated iterative process. The method is first used to solve a well-known benchmark test problem and the results are compared to those obtained using the benchmark analytical expression. Then, an example of a realistic cathodic protection system aimed at mitigating stray currents from a HVDC electrode on a pipeline is described and discussed. It is shown that the proposed iterative approach accurately computes the electrochemical potential process. This approach constitutes the core effort in the development of an accurate non-linear polarization solver.
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