Channels incised into cohesive substrates commonly develop undulating walls
characterized by regular repetitive variations in channel width. Canyons w
ith undulating walls are found in a variety of lithologic, climatic, and te
ctonic regimes, and are most commonly present downstream from a knick zone
of active incision. Flume experiments and natural channel morphologic patte
rns lead us to infer that wall undulations are the remnants of breached, of
fset potholes or of sinuous longitudinal grooves formed during incision of
the knick zone. Substrate characteristics seem to have little influence on
these undulations. Using measurements from eight channels incised into the
Navajo Sandstone of southern Utah, me found that intact rock strength, rock
-mass strength, joint orientation and spacing, bedding, and porosity did no
t differ significantly between channel reaches with straight walls, undulat
ing walls, and meanders. The wavelength and amplitude of wall undulations a
lso did not correlate with any substrate characteristic. These results lead
us to conclude that the primary control on formation of undulating walls i
s hydraulic processes.
Along the study channels, deep, narrow reaches with undulating walls altern
ate with wider straight or meandering reaches. Using flume simulations and
one- and two-dimensional hydraulic modeling, we found that the wall undulat
ions act to reduce interreach (spatial) variability in energy expenditure,
and to minimize energy expenditure within a reach. We propose that the wall
undulations and flow hydraulics create a feedback whereby the wall undulat
ions are preserved following knickpoint incision. The wall undulations then
act to regulate downstream energy expenditure in a manner analogous to bed
forms. This implies that generalized principles of uniform energy expenditu
re developed for alluvial channels may also apply at the reach scale to bed
rock channels with relatively homogeneous substrates.