Table 4.4. Summary of Applicability of Selected Sediment Transport Formulas.
Formula
Gravel
Sand
Very Fine Sand
See
and Silt
Footnotes
Ackers-White
X
1, 2, 3, 4
Bagnold
X
X
4
Brownlie
X
3, 4
Colby
X
2, 3
Duboys
X (fine)
X
2
Einstein
X
X
X
3, 4
Engelund-Hansen
X
1, 3
Karim
X
X
4
Karim and Kennedy
X
X
4
Kodoatie et al. (Power)
X
X
X
4
Laursen
X (fine)
X
2, 3, 4
Meyer-Peter and Mller
X
1, 2, 3
Molinas and Wu
X
1
Parker
X
3
Schoklitsch
X
X (coarse)
2, 3
Shen and Hung
X
4
Simons et al. (Power)
X (fine)
X
4
Toffaleti
X
2, 3, 4
Yang
X
X
1, 2, 3, 4
Yang, Molinas and Wu
X
1
1. The BRI-STARS model includes one fine sand equation (Yang, Molinas and Wu 1996),
four sand equations (Engelund and Hanson 1972, Ackers and White 1973, Yang 1973,
and Molinas and Wu 1996), two gravel equations (Meyer-Peter and Mller 1948, and
Yang 1984) and a user specified power relationship. The power relationship can include
depth, velocity, slope, sediment size and discharge.
2. The HEC-6 model includes the Toffaleti (1966), Yang (1973), Duboys (in Vanoni, 1975),
Ackers and White (1973), Colby (1964), Meyer-Peter and Mller (1948), Schoklitsch
(1937), several modifications to Laursen (1958), and a user specified power relationship
that is a power function of the product of depth and slope. In HEC-6, the Colby (1964)
correction factor for wash load concentration can be applied to most of the transport
functions.
3. The U.S. Army Corps of Engineers SAM package (Thomas et al. 2000) includes Ackers
and White (1973), Brownlie (1981), Colby (1964), Einstein (1950), Engelund-Hansen
(1972), modified Laursen equations (1958), Meyer-Peter and Mller (1948), Parker
(1990), Schoklitsch (1937), Toffaleti (1966) and Yang (1996).
4. Appendix B of this manual includes an evaluation by Kodoatie (1999) of ten equations,
including Ackers and White (1973), Bagnold (1966), Brownlie (1981), Einstein (1950),
Karim (1998), Karim and Kennedy (1981), Laursen (1958), Shen and Hung (1972),
Toffaleti (1969), and Yang (1996). Appendix B also discusses the power function
relationships by Simons et al. (1981), Posada (1995), and Kodoatie (1999).
4.33
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