2uC fb rfC 2/1

ghSb

ncssq )(

DgDq

q ss R

gDb

R

sR

Flow and Sediment Transport Relations

Constraining Environmental Constraining Environmental Conditions (Fluvial Fans)Conditions (Fluvial Fans)

Sandy channels Sandy channels

Gravel channels Gravel channels

c

Expanding Flow Expanding Flow

c 3.1

12/3/12

)(]})ˆ11

[({ rDgD

Q

rDgD

rQS w

rcnso

s

RR

w

so

s

r

Q

QS

R32 S

Q

Q

w

so

3

2

Expanding Flow Model (bedload) Parker et al. (1998)

Reduce: n = 3/2 (bedload); Reduce: n = 3/2 (bedload); c

Terrestrial Fans (Stock et al., 2008), Terrestrial Fans (Stock et al., 2008), Experimental Fans Experimental Fans

No Dependence on g, D, or Flow No Dependence on g, D, or Flow Width! Width!

0.00

0.04

0.08

0.12

0.16

0.0 0.5 1.0 1.5

Norm. Distance (r/L)

Norm

. Ele

vation (z/

L)

0.016

0.033

0.063

0.016

0.033

0.063

Qso/Qw

0.00

0.04

0.08

0.0 0.5 1.0 1.5

Norm. Distance (r/L)

Norm

. Ele

vation (z/

L)

0.016

0.033

0.063

0.016

0.033

0.063

Qso/Qw

Suspension-Dominated SandBedload-Dominated Sand

Straight to Concave Profiles Convexo-Concave Profiles

Radial Slope Profiles: 270 mm Sand

0.000

0.050

0.100

0.150

0.200

0 0.5 1 1.5

Norm. Distance (r/L)

Slo

pe0.016

0.033

0.063

0.016

0.033

0.063

Qso/Qw

Bedload-Dominated Sand

Straight to Concave Profiles

Bedload-Dominated Sand Experiments

Vary Qw

Lines are Theoretical Prediction (no tuning of parameters)

0.00

0.04

0.08

0.12

0.16

0.00 0.02 0.04 0.06 0.08 0.10

Qso/Qw

Slo

pe

Qw, 270 um

160 um

270 um

460 um

550 um

Qw, 550 um

Bedload-Dominated Sand Experiments

Vary Qso

Lines are Theoretical Prediction (no tuning of parameters)

0.00

0.04

0.08

0.12

0.16

0.00 0.02 0.04 0.06 0.08 0.10

Qso/Qw

Slo

pe

Qso, 160 um

160 um

Radial Slope Profiles: 120 mm Sand

0.000

0.040

0.080

0.120

0 0.5 1 1.5

Norm. Distance (r/L)

Slo

pe

0.016

0.033

0.063

0.016

0.033

0.063

Qso/Qw

Suspension-Dominated Sand

Convexo-Concave Profiles

Suspension-Dominated Sand Experiments

Vary Qw

Lines are Theoretical Prediction (no tuning of parameters)

0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.00 0.02 0.04 0.06 0.08 0.10

Qso/Qw

Slo

pe

Qw, 120 um

120 um data

100 um data

Qw, 70 um

70 um data

Qw, 160 um

160 um data

Suspension-Dominated Sand Experiments

Vary Qso

Lines are Theoretical Prediction (no tuning of parameters)

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.00 0.02 0.04 0.06 0.08 0.10

Qso/Qw

Slo

pe

Qso, 120 um

120 um data

Qso, 160 um

160 um data

Suspension-Dominated Coal Experiments

Lines are Theoretical Prediction(sediment transport coefficient tuned to match lowest Qso/Qw point)

0.00

0.01

0.02

0.03

0.04

0.00 0.01 0.02 0.03 0.04 0.05

Qso/Qw

Slo

pe

Qw, 550 um

550 um data

Qw, 130 um

125-130 um data

Qso, 130 um

130 Qso data