“…A set of VE parameters was determined by an inverse model based on the two-step procedure, namely, the Genetic Algorithm and the LevenbergMarquardt search method (Soares et al 2011). The calculated elastic wave speed was 315 m/s and, according to the recommendation of Covas et al (2005) for HDPE pipes, three KelvinVoigt elements were determined via inverse calculations (τ 1 = 0.018 s, J 1 = 0.256 GPa −1 , τ 2 = 0.50 s, J 2 = 0.238 GPa −1 , and τ 3 = 3.0 s, J 3 = 0.211 GPa −1 for only VE; τ 1 = 0.018 s, J 1 = 0.256 GPa −1 , τ 2 = 0.50 s, J 2 = 0.210 GPa −1 , and τ 3 = 3.0 s, J 3 = 0.200 GPa −1 for VE + UF).…”