Convergence criteria for scattering models of ultrasonic wavepropagation in suspensions of particles

摘要

Scattering models used to simulate the attenuation and phasenvelocity of an ultrasonic wave propagating through a suspension ofnparticles involve the summation of an infinite series of partial waves.nThe accuracy of computation is influenced by the number of termsnincluded in the harmonic series, and the number of terms requiredndepends upon the scatterer size compared with wavelength. It is shownnthat the errors in modelled attenuation and phase velocity resultingnfrom premature truncation can be significant when modelling highernvalues of particle diameter-frequency product. A useful and simplenheuristic is presented, in which the number of terms in the summation ofnthe infinite series needed for satisfactory convergence to a final valuenis a function of the particle diameter-frequency product and of thencompressive wave velocity in the continuous phase