Frequency dependence of ultrasonic velocity and attenuation in twohyphen;phase composite systems with spherical scatterers

摘要

The frequency dependence of the scattering contribution of ultrasonic attenuation and sound velocity of longitudinal waves was measured in a frequency range from 2 to 50 MHz. For model systems we used gelatine samples with 20 wtthinsp;percnt; glass beads of 315ndash;400 mgr;m and 180ndash;250 mgr;m diameter and with 10 wtthinsp;percnt; glass beads of 42ndash;174 mgr;m diameter. The application of a recently developed Fourier transform technique allowed us to observe both ultrasonic attenuation and velocity with sufficiently high accuracy for quantitative comparison with sound scattering theory. The frequency dependence of sound attenuation shows multiple maxima, whereas in the frequency dependence of the velocity difference a sharp minimum on the order of 1percnt; of the absolute velocity occurs. For the simulation of ultrasonic attenuation and sound velocity we combined a multiple scattering approach from Waterman and Truell lsqb;J. Math. Phys.2, 512 (1961)rsqb; with a acoustic resonance scattering theory for a viscoelastic sphere developed by Ayres and Gaunaurd lsqb;J. Acoust. Soc. Am.81, 301 (1986)rsqb;. Supplementary in the computations, the attenuation of the matrix and the particle size distribution were taken into account. Comparison of the simulated data to the experimental results shows good agreement.