4.3 Stratification and Bedforms 85
If ow takes place over sediment coarser than about 0.9 mm, for example, the rip-
ple phase does not develop. Instead, a lower plane-bed phase forms just prior to
the foation of dunes. Note also from Figure 4.10 that below a grain size of about
0.15 mm, dunes do not form. The ripple phase is succeeded abruptly by the upper
plane-bed phase. For details of these plots as well other data on bed configurations,
e Southard and Boguchwal (1990).
Most studies of bedforms have been carried out laboratory flumes or under
shallow-water conditions in natural environments. Therefore, most available sedi
ment-size/velocity data perta to the formation of bedforms under shallow-water
conditions (commonly less than about 1 m). Much less is known about the devel
opment of bedforms under deeper water conditions. Based on limited available in
formation, Harms, Southard, and Walker (1982) suggest that the nature of small
ripples approximately the same in deep-water flows as in shallow-water ows;
however, the larger bedforms (dunes) can grow much larger deep-water flows.
The hydraulic relationships in deep water are the same as for shallow water; that is,
dunes form at higher velocities than ripples and at lower velocities than plane beds
and antidunes. e exact relationship between grain size, ow velocity, and bed
form phase is not well documented for deeper water, but a generalized relationship
is shown in Figure 4.11. Note from Figure 4.11 that exceedingly high velocities are
required to produce antidunes at a water depth greater than a few meters; there
fore, it appears that antidunes are unlikely to occur under natural conditions in
deep water, except perhaps under some turbidity currents.
Nare of Flow over Bedforms
e mechanisms of sediment transport that are responsible for formation of the
dferent bedforms are very complex. general, the formation of transverse bed
forms is related to a phenomenon called flow separation. Sediment is transported
suspension or by traction up the stoss side of the bedform to the brink or crest.
At the bnk, the flow separates from the bed to form a zone of reverse circulation
0.1
E 0.2
s
�
·
�
0.5
1.0
0.2
0.5
2 5
Flow depth (m)
10
20 50
100
gu 4.1 1
Generalized three-dimensional
depth-velocity-grain-size dia
gram showing the relation
ship among bed phases and
grain size for a wide variety of
flow velocities and flow
depths. Diagram based on
both flume data and observa
tions of natural flows. [After
Rubin, M. D., and D. 5. Mc
Culloch, 1980, Single and su
perimposed bedforms: A
synthesis of San Francisco Bay
and fluvial observations: Sed.
Geology, v. 26, Fig. 11, p.
224, reprinted by permission
of Elsevier Science Publishers,
Amsterdam.]