“…To calculate φ, the conductivity distribution achieved from the ERT system was converted to the dispersed phase volume fraction based on Maxwell’s equation as follows where φ, σ c , σ d , and σ mc represent the dispersed phase volume fraction, continuous phase conductivity, dispersed phase conductivity, and the restructured measured conductivity, respectively. Since the dispersed phase (i.e., oil) used in the experiments was considered nonconducting (σ d = 0), the Maxwell equation was simplified to To calculate the mixing index for each measurement plane (MI P ), the 316-pixels centrosymmetric conductivity distribution at each measurement plane was separated into six rings, as depicted in Figure . ,, The values inside of the rings represent the measured conductivities by the ERT system, and they were used to calculate the dispersed phase volume fraction in eq . Then, the mixing index of each plane, MI P , was calculated by the following equation as where N , N i , and (MI) i represent the total number of the measured pixels’ conductivities at each plane, the number of measured pixels’ conductivities of the i th ring, and the mixing index of the i th ring, respectively.…”