Attenuation and group speed measurements are reported for water-saturated granular materials (natural sand and glass beads) at frequencies of 1.0 to 1.8 MHz. Median grain diameters were 219 to 497 μm, corresponding to kd1, i.e., the scattering regime. The measurements were made for different thicknesses of sediment resting on a reflective surface using a monostatic geometry. The attenuation estimates compare well with previously reported experimental results and to the predictions of multiple scattering theory, confirming in particular the tendency toward f4 dependence for kd1. Group speed estimates exhibit the negative dispersion predicted by theory and are comparable in magnitude to previously reported measurements made using transmission geometries. It is found that the available data exhibit a O(10)% spread among the sound speed measurements at a given kd value, and that this spread is reduced to 2.2% when the data are scaled by a factor dependent on porosity and grain density, and that essentially all of the reduction can be attributed to differences in porosity.

1.
Busby
,
J.
, and
Richardson
,
E. G.
(
1957
). “
The absorption of sound in sediments
,”
Geophysics
22
(
4
),
821
828
.
2.
Chotiros
,
N. P.
(
1995
). “
Biot model of sound propagation in water-saturated sand
,”
J. Acoust. Soc. Am.
97
(
1
),
199
214
.
3.
Chotiros
,
N. P.
, and
Isakson
,
M. J.
(
2004
). “
A broadband model of sandy ocean sediments: Biot–Stoll with contact squirt flow and shear drag
,”
J. Acoust. Soc. Am.
116
(
4
),
2011
2022
.
4.
Clay
,
C. S.
, and
Medwin
,
H.
(
1977
).
Acoustical Oceanography: Principles and Applications
(
Wiley-Interscience
,
New York
).
5.
Doppler
,
D.
,
Gondret
,
P.
,
Loiseleux
,
T.
,
Meyer
,
S.
, and
Rabaud
,
M.
(
2007
). “
Relaxation dynamics of water-immersed granular avalanches
,”
J. Fluid Mech.
577
,
161
181
.
6.
Flores
,
N. Z.
, and
Sleath
,
J. F. A.
(
1998
). “
Mobile layer in oscillatory sheet flow
,”
J. Geophys. Res. Oceans
103
(
C6
),
12783
12793
, .
7.
Fofonoff
,
N. P.
, and
Millard
,
R. C.
(
1983
). “
Algorithms for computation of fundamental properties of seawater
,”
UNESCO Tech. Pap. Marine Sci.
44
,
1
53
.
8.
Forterre
,
Y.
, and
Pouliquen
,
O.
(
2008
). “
Flows of dense granular media
,”
Annu. Rev. Fluid Mech.
40
,
1
24
.
9.
Hay
,
A. E.
,
Zedel
,
L.
,
Cheel
,
R.
, and
Dillon
,
J.
(
2012
). “
Observations of the vertical structure of turbulent oscillatory boundary layers above fixed roughness beds using a prototype wide-band coherent Doppler profiler: 1. The oscillatory component of the flow
,”
J. Geophys. Res.
117
(
C03005
),
1
20
, .
10.
Hay
,
A.
,
Zedel
,
L.
, and
Stark
,
N.
(
2014
). “
Sediment dynamics on a steep, megatidal, mixed sand-gravel-cobble beach
,”
Earth Surf. Dyn.
2
(
2
),
443
453
.
11.
Hefner
,
B. T.
,
Jackson
,
D. R.
,
Williams
,
K. L.
, and
Thorsos
,
E. I.
(
2009
). “
Mid- to high-frequency acoustic penetration and propagation measurements in a sandy sediment
,”
IEEE J. Ocean. Eng.
34
(
4
),
372
387
.
12.
Houssais
,
M.
,
Ortiz
,
C. P.
,
Durian
,
D. J.
, and
Jerolmack
,
D. J.
(
2015
). “
Onset of sediment transport is a continuous transition driven by fluid shear and granular creep
,”
Nat. Commun.
6
,
1
8
.
13.
Hurther
,
D.
, and
Lemmin
,
U.
(
2008
). “
Improved turbulence profiling with field-adapted acoustic Doppler velocimeters using a bifrequency Doppler noise suppression method
,”
J. Atmos. Oceanic Tech.
25
(
3
),
452
463
.
14.
Hurther
,
D.
, and
Thorne
,
P. D.
(
2011
). “
Suspension and nearbed load sediment transport processes above a migrating sand rippled bed under shoaling waves
,”
J. Geophys. Res.
116
(
C07001
),
1
17
, .
15.
Hurther
,
D.
,
Thorne
,
P. D.
,
Lemmin
,
M. B. U.
, and
Barnoud
,
J.-M.
(
2011
). “
A multi-frequency acoustic concentration and velocity profiler (ACVP) for boundary layer measurements of fine-scale flow and sediment transport processes
,”
Coast. Eng.
58
,
594
605
.
16.
Jackson
,
D.
, and
Richardson
,
M.
(
2007
). “
High-frequency seafloor acoustics
,” in
The Underwater Acoustics Series
(
Springer Science & Business Media
,
New York
).
17.
Jaeger
,
H. M.
,
Nagel
,
S. R.
, and
Behringer
,
R. P.
(
1996
). “
The physics of granular materials
,”
Phys. Today
49
(
4
),
32
39
.
18.
Jain
,
N.
,
Ottino
,
J. M.
, and
Lueptow
,
R. M.
(
2004
). “
Effect of interstitial fluid on a granular flowing layer
,”
J. Fluid Mech.
508
,
23
44
.
19.
Kimura
,
M.
(
2011
). “
Velocity dispersion and attenuation in granular marine sediments: Comparison of measurements with predictions using acoustic models
,”
J. Acoust. Soc. Am.
129
(
6
),
3544
3561
.
20.
Kimura
,
M.
(
2014
). “
Erratum: Velocity dispersion and attenuation in granular marine sediments: Comparison of measurements with predictions using acoustic models [J. Acoust. Soc. Am. 129, 3544–3561 (2011)]
,”
J. Acoust. Soc. Am.
135
(
4
),
2126
2127
.
21.
Lanckriet
,
T.
,
Puleo
,
J. A.
, and
Waite
,
N.
(
2013
). “
A conductivity concentration profiler for sheet flow sediment transport
,”
IEEE J. Ocean. Eng.
38
(
1
),
55
70
.
22.
Lee
,
K.
,
Humphrey
,
V.
,
Kim
,
B.-N.
, and
Yoon
,
S.
(
2007
). “
Frequency dependencies of phase velocity and attenuation coefficient in a water-saturated sandy sediment from 0.3 to 1.0 MHz
,”
J. Acoust. Soc. Am.
121
(
5
),
2553
2558
.
23.
Lee
,
K.
,
Park
,
E.
, and
Seong
,
W.
(
2009
). “
High frequency measurements of sound speed and attenuation in water-saturated glass-beads of varying size
,”
J. Acoust. Soc. Am.
126
(
1
),
EL28
EL33
.
24.
Mehta
,
A.
,
Barker
,
G. C.
, and
Luck
,
J.-M.
(
2009
). “
Heterogeneities in granular materials
,”
Phys. Today
62
(
5
),
40
45
.
25.
Mifsud
,
J. F.
(
1953
). “
Experimental study of the acoustic properties of water-filled sands
,”
University of Texas, Defense Research Laboratory Report No. DRL-A-72
, pp.
1
24
.
26.
Millero
,
F. J.
, and
Poisson
,
A.
(
1981
). “
International one-atmosphere equation of state of seawater
,”
Deep-Sea Res.
28
(
6
),
625
629
.
27.
Morgan
,
P. P.
(
1994
).
SEAWATER: A library of MATLAB Computational Routines for the Properties of Sea Water: Version 1.2
, CSIRO Marine Laboratories.
28.
Moussatov
,
A.
,
Guillon
,
L.
,
Ayrault
,
C.
, and
Castagnède
,
B.
(
1998
). “
Experimental study of the dispersion of ultrasonic waves sandy sediments
,”
C. R. Acad. Sci. Ser. IIB Mech. Phys. Astron.
326
(
7
),
433
439
.
29.
Naqshband
,
S.
,
Ribberink
,
J.
,
Hurther
,
D.
, and
Hulscher
,
S.
(
2014
). “
Bed load and suspended load contributions to migrating sand dunes in equilibrium
,”
J. Geophys. Res.
119
(
5
),
1043
1063
, .
30.
Nielsen
,
P.
(
1992
).
Coastal Bottom Boundary Layers and Sediment Transport
(
World Scientific
,
River Edge, NJ
).
31.
Nolle
,
A. W.
,
Hoyer
,
W. A.
,
Mifsud
,
J. F.
,
Runyan
,
W. R.
, and
Ward
,
M. B.
(
1963
). “
Acoustical Properties of Water-Filled Sands
,”
J. Acoust. Soc. Am.
35
(
9
),
1394
1408
.
32.
Pignatel
,
F.
,
Asselin
,
C.
,
Krieger
,
L.
,
Christov
,
I. C.
,
Ottino
,
J. M.
, and
Lueptow
,
R. M.
(
2012
). “
Parameters and scalings for dry and immersed granular flowing layers in rotating tumblers
,”
Phys. Rev. E
86
(
1
),
011304
.
33.
Revil-Baudard
,
T.
,
Chauchat
,
J.
,
Hurther
,
D.
, and
Barraud
,
P.-A.
(
2015
). “
Investigation of sheet-flow processes based on novel acoustic high-resolution velocity and concentration measurements
,”
J. Fluid Mech.
767
,
1
30
.
34.
Richardson
,
M. D.
,
Williams
,
K. L.
,
Briggs
,
K. B.
, and
Thorsos
,
E. I.
(
2002
). “
Dynamic measurement of sediment grain compressibility at atmospheric pressure: Acoustic applications
,”
IEEE J. Ocean. Eng.
27
(
3
),
593
601
.
35.
Rohatgi
,
A.
(
2015
). “
WebPlotDigitizer 3.9
,” http://arohatgi.info/WebPlotDigitizer (Last viewed March 19, 2018).
36.
Salin
,
D.
, and
Schön
,
W.
(
1981
). “
Acoustics of water saturated packed glass spheres
,”
J. Phys. Lett. Paris
42
(
22
),
477
480
.
37.
Schwartz
,
L.
, and
Plona
,
T. J.
(
1984
). “
Ultrasonic propagation in close-packed disordered suspensions
,”
J. Appl. Phys.
55
(
11
),
3971
3977
.
38.
Sen
,
P. N.
, and
Johnson
,
D. L.
(
1983
). “
Topological limitations of effective-medium approximations in fluid-solid systems having two longitudinal-acoustic modes
,”
Phys. Rev. B
27
(
6
),
3133
3137
.
39.
Sessarego
,
J.-P.
, and
Guillermin
,
R.
(
2012
). “
High-frequency sound-speed, attenuation, and reflection measurements using water-saturated glass beads of different sizes
,”
IEEE J. Ocean. Eng.
37
(
3
),
507
515
.
40.
Sessarego
,
J.-P.
,
Ivakin
,
A. N.
, and
Ferrand
,
D.
(
2008
). “
Frequency dependence of phase speed, group speed, and attenuation in water-saturated sand: Laboratory experiments
,”
IEEE J. Ocean. Eng.
33
(
4
),
359
366
.
41.
Shinbrot
,
T.
, and
Muzzio
,
F. J.
(
2000
). “
Non-equilibrium patterns in granular mixing and segregation
,”
Phys. Today
53
(
3
),
25
30
.
42.
Stoll
,
R. D.
(
1998
). “
Comments on ‘Biot model of sound propagation in water-saturated sand’ [J. Acoust. Soc. Am. 97, 199–214 (1995)]
,”
J. Acoust. Soc. Am.
103
(
5
),
2723
2725
.
43.
Thomas
,
P. R.
, and
Pace
,
N. G.
(
1980
). “
Broadband measurements of acoustic attenuation in water-saturated sands
,”
Ultrasonics
18
(
1
),
13
17
.
44.
Thorne
,
P. D.
,
Hurther
,
D.
, and
Moate
,
B. D.
(
2011
). “
Acoustic inversions for measuring boundary layer suspended sediment processes
,”
J. Acoust. Soc. Am.
130
(
3
),
1188
1200
.
45.
Williams
,
K. L.
(
2001
). “
An effective density fluid model for acoustic propagation in sediments derived from Biot theory
,”
J. Acoust. Soc. Am.
110
(
5
),
2276
2281
.
46.
Williams
,
K. L.
,
Jackson
,
D. R.
,
Thorsos
,
E. I.
,
Tang
,
D.
, and
Schock
,
S. G.
(
2002
). “
Comparison of sound speed and attenuation measured in a sandy sediment to predictions based on the Biot theory of porous media
,”
IEEE J. Ocean. Eng.
27
(
3
),
413
428
.
47.
Wilson
,
G. W.
, and
Hay
,
A. E.
(
2015
). “
Acoustic backscatter inversion for suspended sediment concentration and size: A new approach using statistical inverse theory
,”
Cont. Shelf Res.
106
,
130
139
.
48.
Wilson
,
G. W.
, and
Hay
,
A. E.
(
2016
). “
Acoustic observations of near-bed sediment concentration and flux statistics above migrating sand dunes
,”
Geophys. Res. Lett.
43
(
12
),
6304
6312
, .
49.
Wood
,
A. B.
(
1930
).
A Textbook of Sound
(
MacMillan Company
,
New York
).
50.
Yang
,
H.
,
Seong
,
W.
, and
Lee
,
K.
(
2018
). “
Model-data comparison of high frequency compressional wave attenuation in water-saturated granular medium with bimodal grain size distribution
,”
Ultrasonics
82
,
161
170
.
51.
Zemanek
,
J.
(
1971
). “
Beam behavior within the nearfield of a vibrating piston
,”
J. Acoust. Soc. Am.
49
(
1B
),
181
191
.

Supplementary Material

You do not currently have access to this content.