With the increase in plugging and abandonment campaigns for mature oil wells around the world, several research centers have invested inacoustic inspection tools and more robust techniques to analyze the integrity of the oil well through the production tubing. Analyzes through theproduction tubing provide significant savings in the abandonment stage,however their analysis is complex due to the low energy received and possible eccentricities. The objective of this work is to analyze the characteristicsof defects applied to the cement casing layer of an oil well with and withoutproduction tubing eccentricity, through dispersion curves and slowness-time coherence curves; and compare these curves with data obtained bysimulations using finite element methods, semi-analytical methods and experiments carried out at scale. The experiments carried out included themost common defects found, such as fluid channeling in the cement layer,eccentricity of the production tubing and low cement impedance. The semi-analytical models when compared with the finite element method showedgood coherence. For all cases with the production tubing, a smaller numberof wave modes and lower signal amplitude were noted compared to caseswithout the production tube. The results of the slowness-time coherencemethod proved to be ineffective in defect analysis. It was concluded thatthe semi-analytical method, validated through several analytical models,simulations using the finite element method and with several experiments,is a valuable tool in analyzing defects and verifying the variation of wavemodes with the applied eccentricity.