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A first principle mathematical model of the formation of calcareous deposits on a cathodically protected steel rotating disk electrode in seawater is presented. The model includes equations which transport phenomena, electrochemical reactions, precipitation reactions, and a homogeneous reaction involved in the formation of calcareous deposits on an electrode surface. Predicted concentration profiles show that a high concentration of OH[sup [minus]] ions on the electrode surface leads to the formation of calcareous deposits. The calcareous deposits contain mostly CaCO[sub 3], but the initial deposits are predicted to contain more Mg(OH)[sub 2] than CaCO[sub 3]. The predicted calcareous deposits on the electrode surface reduce the active surface area available for the electrochemical reactions, which results in a decrease in the cathodic current density. The predicted current density as a function of time during the formation of deposits agrees qualitatively with experimental data.

Mathematical Modeling of the Formation of Calcareous Deposits on Cathodically Protected Steel in Seawater