Constant-Phase Element Characteristics Caused by Resistivity Distribution in High Performance Anti-Corrosion Organic Coating Applied to Oil Storage Tank
Since impedance measurements  are suitable for the evaluation of visually non-defective coatings, they have attracted much attention as a method for the quantitative evaluation of the coatings applied to oil storage tanks. However, the clarification of the degradation process of the coating, which is needed for the electrical equivalent circuit analysis, has not been achieved. It is important to interpret the electrical property of the coating sufficiently for the sensitive evaluation of extracting time-constant components.
According to Van Westing et al. , the impedance characteristics of a high performance anti-corrosion organic coating are interpreted by CPE (constant-phase element). Therefore, it is suggested that the CPE is a useful circuit element to evaluate the impedance of the coatings on the internal bottom plates of oil storage tanks. However, there is possibility that the analysis of an impedance spectrum by using the CPE causes the ambiguity of the physical interpretation in an experimental object. Thus, it is necessary to evaluate the anti-corrosion performance of the coating considering the cause of the CPE behavior in the impedance spectrum.
In this study, the anti-corrosion performance of the coating applied to an actual oil storage tank is evaluated by using impedance measurements. The CPE behavior of the coating is explained based on the distribution of the coating resistivity along the thickness.
The field impedance data was obtained by the two-electrode impedance measurement setup, as shown in Figure 1. The impedance spectra were obtained over a frequency range from 200 Hz to 10,000 Hz with a 1 Vp-psinusoidal potential.
Figure 2 shows the representative impedance spectrum in the obtained data. The fitted curve analyzed with the electrical equivalent circuit consisting of a parallel combination of the CPE and the resistance Rpcorresponding to conductive pathways  are noted in the figure as dotted lines. The fitted curve was in good agreement with the field data, as can be seen Figure 2. Thus, the impedance spectrum can be interpreted by using the CPE.
In subsequent discussions, this CPE behavior is explained by the distribution of the coating resistivity according to a power-law along the thickness, which results from an electrolyte solution permeation in the coating . The obtained results in this study will contribute the establishment of an evaluation method for heavy-duty coatings.
Acknowledgement: This research was performed with financial support from Japan Oil, Gas and Metals National Corporation.
 S. Scale, V. Dolecek, M. Slemnik, Electrochemical impedance studies of corrosion protected surfaces covered by epoxy polyamide coating systems, Prog. Org. Coat. 62 (4) (2008) 387.
 J. Kittel, N. Celati, M. Keddam, H. Takenouti, Influence of the coating-substrate interactions on the corrosion protection: characterization by impedance spectroscopy of the inner and outer parts of a coating, Prog. Org. Coat. 46 (2003) 135.
 E. P. M. van Westing, G. M. Ferrari, In situdetermination of the loss of adhesion of barrier epoxy coatings using electrochemical impedance spectroscopy, Prog. Org. Coat. 23 (1993) 89.
 S. Amand, M. Musiani, M. E. Orazem, N. Pebere, B. Tribollet and V. Vivier, Constant-phase-element behavior caused by inhomogeneous water uptake in anti-corrosion coatings, Electrochim. Acta. 87 (2013) 693.
 B. Hirschorn, M. E. Orazem, B. Tribollet, V. Vivier, I.Frateur, M. Musiani, Constant-phase-element behavior caused by resistivity distribution in films, J. Electrochem. Soc. 157 (12) (2010) C452.
Figure 1 Schematic diagram of impedance measurements by using LCR meter.
Figure 2 Typical impedance plots obtained for the coating on the internal bottom plate of the oil storage tank in the corrosive electrolyte: (a) Nyquist and (b) Bode plots.