The propagation of a nonlinear sound wave in an unconsolidated granular medium
Konstantin A. NaugolnykhCires, Environmental Technology Laboratory (Zeltech), University of Colorado, USAI. B. EsipovAndreev Acoustics Institute, Moscow, Russia
2005en
ABI
Abstract
The propagation of a high-intensity sound wave in an unconsolidated medium is considered. Dissipation effects are taken into account on the basis of Buckingham’s theory of a relaxation mechanism of sound attenuation in a saturated sediment. The nonlinear evolution equation for the relaxing medium is obtained, and the solutions of this equation are analyzed. The second-harmonic generation in such a medium decays, as does the linear sound wave of the same frequency. The stationary weak shock profile has a specific form due to relaxation effects.
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