Uncertainty quantification method for elastic wave tomography of concrete structure using interval analysis.

• Interval analysis model is applied to quantify the uncertainties in the elastic wave tomography of concrete structures. • The relationship between the measurements error and tomography uncertainty was established. • The identified uncertain boundaries provide more information to make a better assessment of the internal condition of concrete. This paper presents a non-probabilistic uncertainty quantification method for the elastic wave tomography of concrete structures. An interval analysis model is applied to establish the relationship between the measurement error and identified tomography images. Measurements of parameters such as travel time and wave amplitude are modeled as intervals described by their upper and lower boundaries. Based on the straight-ray assumption of the wave propagation path, the relationship between wave velocity and travel time measurements is described by a set of linear equations. The inversion linear equation is converted into an extended fuzzy linear equation using interval analysis. Subsequently, a simultaneous iterative reconstruction technique is applied to solve this fuzzy linear equation. In contrast to the traditional methods, the obtained tomography images are described in terms of the upper and lower boundaries. Finally, numerical simulation and experimental investigation using several plain concrete models are conducted to verify the proposed approach. [ABSTRACT FROM AUTHOR]