The effect of slope angle on the development of type a and type b
channels of rinnenkarren with field and laboratory measurements
Márton Veress
a,
⁎, Szabolcs Samu
a
, Zoltán Mitre
b
a
University of West Hungary, Faculty of Natural Sciences, Department of Physical Geography, 9700 Szombathely, Károlyi Gáspár tér 4, Hungary
b
University of West Hungary, Faculty of Natural Sciences, Department of Mathematics, 9700 Szombathely, Károlyi Gáspár tér 4, Hungary
abstract article info
Article history:
Received 16 July 2013
Received in revised form 8 August 2014
Accepted 10 August 2014
Available online 21 August 2014
Keywords:
Type A channel
Type B channel
Rinnenkarren system
Channel density
Rivulet
Slope angle
The relation between the inclination and the quality of the bearing slope, and the channel type and channel density
of various rinnenkarren (type A and type B channels) was investigated. On the bare karren slopes of Totes Gebirge,
the connection between the densities of type A and type B (type A channels have no tributary channels, and they are
smaller; type B channels have tributary channels, and they are larger) channels and the slope angle was studied,
while in laboratory the relation between the number of rivulets forming the channels and the slope angle and the
quality of slope was analysed. The density of type A channels increases with the increase in the slope angle, while
that of type B channels decreases. In the laboratory the number of rivulets on the various parts of the slope was stud-
ied on glass, gypsum and metal plates between 5 and 50° (as well as on metal plate between 1 and 70°). The dip
angle of the bearing slope was modified every 5°. The number of rivulets increases with the slope angle mainly
on the upper part of the slope and on the metal plate. The number of rivulets decreases towards the lower part of
the slope in the case of the same slope and the same slope angle. The number of rivulets (and thus the number of
channels) depends on the speed of water flow and the roughness of the surface. On a slope with a small dip
angle (smaller than 20°), few rivulets and channels develop and, thus, rinnenkarren systems with large catchment
areas may form whose main channels develop into large, type B channels. On slopes with a large dip angle (greater
than 30°), numerous rivulets develop even at the beginning of channel development. Because of large rivulet
density, channels with small catchment area and thus small-sized (type A) channels may develop. On the karren
slopes, two models of channel development are possible: according to model 1, on slopes with a continuously
smaller dip angle, the beginning of channel development is increasingly different, thus rinnenkarren systems
form which are built by main and tributary channels. In the case of an increasing slope angle, this tendency is
less and less valid. On slopes with an increasingly larger slope angle, the beginning of channel development
will not be different. According to model 2 (based on the laboratory model), the rivulets that developed on the
upper part of the slope join on the lower part of the slope. In this case the initiation of channel formation of
the main and tributary channels of the rinnenkarren systems is similar. On the bare slopes of Totes Gebirge,
model 1 can be regarded as the dominant one.
© 2014 Elsevier B.V. All rights reserved.
1. Introduction
In this study the relation between the density of type A and type B
(type A channels have no tributary channels, and they are smaller; type
B channels have tributary channels, and they are larger) rinnenkarren
channels and the inclination of the bearing slope, and the factors that
influence rivulet density are investigated. We deduce the environment
for the development of the channels and rivulets belonging to different
channel types from the analysis of these relations. As the development
of rivulets is the same at all places on bare slopes, the development of
channel types can be applied to other places with bare slopes, not only
to the studied area.
Genetic processes leading to rinnenkarren formation are very impor-
tant to understand, since these dominate the bare slopes of karst areas
of high mountains. They make up to 67% of the specific width (being
the width of karren features over a 1 m distance) in the zone of Pinus
mugo and 54% on bare slopes (Veress, 2009). These karren features
have been investigated by several researchers (e.g. Eckert, 1898;
Wagner, 1950; Sweeting, 1955; Haserodt, 1965; Louis, 1968; Bögli,
1976; Sauro and Perna, 1978; Jennings, 1985; Gladysz, 1987; White,
1988; Hutchinson, 1996). Rinnenkarren (runnels) are closed channels,
and their direction is similar to the dip direction of the slope (Eckert,
1898; Wagner, 1950; Sweeting, 1955). Their width and depth are a
few decimetres, while their length may be some 10s of metres. Their
Geomorphology 228 (2015) 60–70
⁎ Corresponding author.
E-mail addresses: vmarton@ttk.nyme.hu (M. Veress), samu.szabolcs@ttk.nyme.hu
(S. Samu), mitre.zoltan@ttk.nyme.hu (Z. Mitre).
http://dx.doi.org/10.1016/j.geomorph.2014.08.014
0169-555X/© 2014 Elsevier B.V. All rights reserved.
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Geomorphology
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