Probabilistic modelling of an ultrasonic setup: calculation of the dispersion on wave speed measurements

K. Macocco (1) , Q. Grimal (2) , Salah Naili (1) , Christian Soize (3)

1 LMP - Laboratoire de mécanique physique
2 LIP - Laboratoire d'Imagerie Paramétrique
3 LaM - Laboratoire de Mécanique

This Note presents a probabilistic model of transient wave reflection at a fluid-solid interface. The configuration represents an ultrasonic experiment used for bone tissue evaluation. The parametric method is used to derive the probabilistic model for the mechanical parameters of the solid (bone); the associated random variables are derived according to the maximum entropy principle. A Monte Carlo simulation, associated with the Cagniard-de Hoop method to calculate the acoustic response, yields the probability density for an output ultrasonic parameter similar to the velocity of longitudinal waves in the solid. Results demonstrate the sensitivity of the probability density of this parameter to the experimental setup.

Mots clés: uncertainty quantification; ultrasonic wave; cortical bone; wave propagation; parametric probabilistic method; fluid/solid medium

Domaines: Biomécanique [physics.med-ph]; Mécanique [physics.med-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Probabilités [math.PR]

K. Macocco, Q. Grimal, Salah Naili, Christian Soize. Probabilistic modelling of an ultrasonic setup: calculation of the dispersion on wave speed measurements. Comptes Rendus Mécanique, 2005, 33 (7), pp.565-573. ⟨10.1016/j.crme.2005.06.005⟩. ⟨hal-00686184⟩