1 INTRODUCTION
Field measurements of river velocity can provide
a valuable contribution to understanding morpho-
logical processes, contaminant transport, and
stream ecology. The acoustic Doppler current pro-
filer (ADCP) is used increasingly in river-related
studies to measure velocity and determine flow
rate (Simpson 2001), turbulence characteristics
(e.g. Stacey et al. 1999, Nystrom et al. 2007),
boundary shear stress (Sime et al. 2007), and se-
diment transport (Rennie & Millar 2004). Addi-
tionally, the high spatial resolution data from
ADCPs may provide a useful tool for calibrating
and validating computational fluid dynamics
models. This study presents ADCP measurements
from the lower Roanoke River, a regulated river
in eastern North Carolina, USA and describes a
procedure for determining local boundary shear
stress. Fixed-vessel measurements (Muste et al.
2004) were obtained at a location within a meand-
er bend for two flow rates, one close to the mean
annual flow (flow rate, Q = 220 m
3
s
-1
) and the
other at near bankfull conditions (Q = 565 m
3
s
-1
).
Maintaining a fixed location within the river for
the entire measurement duration presented a chal-
lenge. The effect of the ADCP motion on the
measured velocity profiles is assessed.
Velocity profiles are often used as an indirect
method to determine mean boundary shear stress
in natural rivers (Wilcock 1996). While several
methods are available to determine the time-
averaged local boundary shear stress (e.g. Biron et
al. 2004, Dietrich & Whiting 1989), this study
employs the theoretical log-law, given as:
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
=
o
z
z
u
u
ln
1
*
κ
(1)
where u = velocity,
*
u = shear velocity (
*
u =
(τ
o
/ρ)
0.5
, where τ
o
= boundary shear stress and ρ
= fluid density), κ = von Karman’s constant (κ =
0.40), z = position perpendicular to the channel
bed, and z
o
= roughness height. Following the ap-
proach of Raupach et al. (1991), the perpendicular
position above the bed is defined as z = Z + d,
where Z = position above the origin as defined by
the top of the roughness elements and d = zero
displacement plane. When a measured velocity
profile is available, a least squares error approach
can be used to fit a linear equation to the profile of
u vs. ln(z). This approach has two primary advan-
tages: (i) no knowledge of the roughness height is
required to determine the shear velocity and (ii) a
measure of the goodness of fit for the data is
available through the coefficient of determination,
also known as the R
2
-value. The least square er-
Local boundary shear stress estimates from velocity profiles measured
with an ADCP
J. Petrie, P. Diplas & S. Nam
Baker Environmental Hydraulics Laboratory, Department of Civil & Environmental Engineering,
Virginia Tech, USA
M. S. Gutierrez
Division of Engineering, Colorado School of Mines, USA
ABSTRACT: The acoustic Doppler current profiler (ADCP) has become an important tool in the study of
river processes. When measurements are obtained at a fixed location within the river channel, time-
averaged velocity profiles can be calculated. These profiles have the potential to quantify flow properties
such as secondary currents and boundary shear stress. Velocity profiles from ADCP measurements ob-
tained on the lower Roanoke River in the USA are used to estimate local mean boundary shear stress. The
procedure combines the well known log-law with visually establishing the region within the flow depth
where this law is valid. Additionally, methods are presented to (i) determine if movement of the ADCP
adversely affects the measured velocity profile, (ii) test whether the recorded data is stationary, and (iii)
calculate the depth-averaged velocity.
Keywords: Acoustic techniques, Boundary shear, Field tests, Stationary processes, Velocity profile
River Flow 2010 - Dittrich, Koll, Aberle & Geisenhainer (eds) - © 2010 Bundesanstalt für Wasserbau ISBN 978-3-939230-00-7
1749