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Hans Burchard 1 , Henk M. Schuttelaars 2 , and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands 3. Woods Hole Oceanographic Institute, MA, USA *) J. Phys. Oceanogr., under review. Residual sediment fluxes in weakly-to-periodically stratified estuaries and tidal inlets*

Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

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Page 1: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Hans Burchard1, Henk M. Schuttelaars2, and Rockwell W. Geyer3

1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany

2. TU Delft, The Netherlands3. Woods Hole Oceanographic Institute, MA, USA

*) J. Phys. Oceanogr., under review.

Residual sediment fluxes in weakly-to-periodically stratified

estuaries and tidal inlets*

Page 2: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Question:

What are the processes driving

residual sediment fluxes into the Wadden Sea?

Velocity and sediment profile data from Spiekeroog 2011

Page 3: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

MacCready & Geyer (2010) after Jay & Musiak (1994)

Longitudinal density gradients & tidal oscillations lead to:

Tidal straining

Residual velocity

Flood sediment Ebb sediment

Page 4: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Observations of tidal pumping

Scully & Friedrichs (2007)

Page 5: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Simpson number

Key non-dimensional numbers

Rouse number

Horizontal buoyancy gradientWater depthBottom friction velocity scale

Settling velocity

Page 6: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Estuaries and tidal inlets

Page 7: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Analytical solution of most simple setting:

Stationary exhange flow with parabolic eddy mixing

Page 8: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Analytical solution of most simple setting:

Sediment fluxes in the Si – Ro parameter space

seaward

landwardHow does this compare to asymmetric tidal forcing?

Page 9: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Approach = GOTM

unlimited bottom pool limited bottom pool no bottom pool

Define time scale for bottom sediment pool:

Te = Time needed to empty bottom pool at mean bed stress

Page 10: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Effect of Si on bed stress

Page 11: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Decomposition of sediment flux

fluctuation flux

transport flux

total flux

Page 12: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Tidally averaged profiles

unlimited bottom pool limited bottom pool no bottom pool

Page 13: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

total flux fluctuation flux transport flux

un

limit

ed

bott

om

pool

no b

ott

om

pool

Sediment flux in parameter space

Page 14: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Adding an M4 tidal forcing component

Long flood-to-ebb transition

Short flood-to-ebb transition

Stronger flood

Stronger ebb

Page 15: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Adding an M4 tidal forcing component

Long flood-to-ebb transition Stronger flood

Short flood-to-ebb transition Stronger ebb

Page 16: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Long fl

ood-t

o-e

bb t

ransi

tion

Str

onger

flood

Short

flood-t

o-e

bb t

ransi

tion

Str

onger

ebb

Page 17: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Str

onger

flood

Long fl

ood-t

o-e

bb t

ransi

tion

Short

flood-t

o-e

bb t

ransi

tion

Str

onger

ebb

Page 18: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Campaign in Lister Deep (April 2008)

Becherer et al. (GRL 2011)

shoals

Page 19: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Becherer et al. (GRL 2011)

Campaign in Lister Deep (April 2008)

Page 20: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

d

Campaign in Lister Deep (April 2008)

Page 21: Hans Burchard 1, Henk M. Schuttelaars 2, and Rockwell W. Geyer 3 1. Leibniz Institute for Baltic Sea Research Warnemünde, Germany 2. TU Delft, The Netherlands

Conclusions for PACE

• Classical picture of estuarine sediment transport: transport flux dominates.

• Observations of Scully and Friedrichs indicate important role of tidal pumping (=fluctuation flux).

• The present study supports this.

• When high ammounts of sediment are available, then fluctution flux is dominant.

• The M4 phasing (and probably other higher harmonics) determines whether net sediment flux is landward or seaward.

• Since sediment flux depends on so many parameters, it may actually be unpredictable?