Acoustic emissions of nearly steady and uniform granular flows: a proxy
for flow dynamics and velocity fluctuations
Abstract
The seismic waves emitted during granular flows are generated by
different sources: high frequencies by inter-particle collisions and low
frequencies by global motion and large scale deformation. To unravel
these different mechanisms, an experimental study has been performed on
the seismic waves emitted by dry, dense, quasi-steady granular flows.
The emitted seismic waves were recorded using shock accelerometers and
the flow dynamics were captured with a fast camera. The mechanical
characteristics of the particle collisions were analyzed, along with the
intervals between collisions and the correlations in particles’ motion.
The high-frequency seismic waves (1-50 kHz) were found to originate from
particle collisions and waves trapped in the flowing layer. The
low-frequency waves (20-60 Hz) were generated by particles’ oscillations
along their trajectories, i.e. from cycles of dilation/compression
during coherent shear. The profiles of granular temperature (i.e. the
mean squared value of particle velocity fluctuations) and average
velocity were measured and related to each other, then used in a simple
steady granular flow model, in which the seismic signal consists of the
variously attenuated contributions of shear-induced Hertzian collisions
throughout the flow, to predict the rate at which seismic energy was
emitted. Agreement with the measured seismic power was reasonable, and
scaling laws relating the seismic power, the shear strain rate and the
inertial number were derived. In particular, the emitted seismic power
was observed to be approximately proportional to the root mean square
velocity fluctuation to the power $3.1 \pm 0.9$, with
the latter related to the mean flow velocity.