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Title: Estimating parameters of the channel width–fl ow discharge relation using rill and gully channel junction data
Authors: Salvador Sanchis, M. Pilar ×
Torri, Dino
Borselli, Lorenzo
Bryan, Rorke
Poesen, Jean
Yañez, Marta S.
Cremer, Cati #
Issue Date: Dec-2009
Publisher: Wiley
Series Title: Earth Surface Processes and Landforms vol:34 issue:15 pages:2023-2030
Abstract: Eroding channels can usually be characterized by a power relationship between channel width (W) and channel
discharge (Q). This paper examines the WQ relation using a recently developed channel junction approach to extend the validity
of the WQ relation and to develop a procedure for estimating the WQ exponent and proportionality coeffi cient. Rill and gully
channel data from the literature, and new data collected in different badland areas and in a few forest mountain streams, are
analysed. Analysis shows that the WQ relation for channel width collected in badlands and forests agrees with trends observed
for cropland. The exponent increases with increasing channel width in a continuous fashion rather than in a step-like way and
tends to a maximum whose value ranges between 0·5 and 0·6.
The proportionality coeffi cient can be split into two terms, one expressing the case in which an eroding channel can broaden,
the other refl ecting the diffi culties in removing the less erodible clods or rock fragments from the channel bed. Its splitting allows
the development of a more correct form of the WQ relation in agreement with modern approaches of channel geometry: one
part has the dimension of a discharge and makes the power base dimensionless, while the other brings the dimension of a length,
needed for the channel width, into the WQ relation. The interpretation of the two constants is supported by data collected in
rainfall-runoff simulation experiments conducted in the fi eld. Values characterizing the two constants in some environments are
also given. Nevertheless the approach is not suffi ciently parameterized yet to be of practical use (e.g. in models or for estimating
peak discharge in areas where rill channels have formed).
ISSN: 0197-9337
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Division of Geography & Tourism
× corresponding author
# (joint) last author

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