This study aims to formulate a resistivity model whereby the concrete resistivity expressing the environment of steel reinforcement can be directly estimated and evaluated based on measurement immediately above reinforcement as a method of evaluating corrosion deterioration in reinforced concrete structures. It also aims to provide a theoretical ground for the feasibility of durability evaluation by electric non-destructive techniques with no need for chipping of cover concrete. This Resistivity Estimation Model (REM), which is a mathematical model using the mirror method, combines conventional four-electrode measurement of resistivity with geometric parameters including cover depth, bar diameter, and electrode intervals. This model was verified by estimation using this model at areas directly above reinforcement and resistivity measurement at areas unaffected by reinforcement in regard to the assessment of the concrete resistivity. Both results strongly correlated, proving the validity of this model. It is expected to be applicable to laboratory study and field diagnosis regarding reinforcement corrosion.KEY WORDS: corrosion; nondestructive method; concrete; reinforcing bar; resistivity; mathematical model. judgment when the goal of diagnosis using concrete resistivity is to know the corrosion environment where there is a potential risk of corrosion deterioration.On the other hand, a mathematical model using a Poisson equation in cylindrical coordinates was proposed by presenting a nondestructive method [15][16][17] that represents no damages on the cover of concrete in order to develop a measurement method that can be easily applied to the field. However, this study did not perform an experimental verification for the applicability of the proposed model even though this study presented a sense of direction for a complete nondestructive method.With this as a background, the authors aim to propose a resistivity model that allows the estimation of the resistivity of concrete and reinforcement from the apparent resistivity measurement immediately above reinforcement in order to make an effective diagnosis on-site. In other words, this mathematical model is formulated on the basis of the resistivity of concrete and reinforcing bar, while previous mathematical models for corrosion estimation have ever been focused on the studies to represent the electrochemical response of corrosion.The formation of this mathematical model using the mirror method is concerned with the concrete cover depth for the reinforcement, diameter of reinforcing bars, and electrode intervals as geometrical factors with the resistivity of concrete and reinforcement. Also, this study investigates the validity of the proposed model through the relationship between the results of the experimental measurement of the concrete resistivity and the calculation values estimated by this model.
Resistivity Estimation ModelWhen there is a point current source (I) in an infinite isotropic homogeneous medium with a resistivity of r, the potential (f) at a di...