Model help:SteadyStateAg: Difference between revisions

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| G<sub>t,feed</sub>
| G<sub>t,feed</sub>
| mean annual bed material sediment feed rate
| mean annual bed material sediment feed rate
| Mt / year
| M / T
|-
|-
| L
| L
| reach length (downchannel distance)
| reach length (downchannel distance)
| km
| L
|-
|-
| L<sub>v</sub>
| L<sub>v</sub>
| reach length (downvalley distance)
| reach length (downvalley distance)
| km
| L
|-
|-
| dξ<sub>d</sub> / dt
| dξ<sub>d</sub> / dt
| rate of sea level rise
| rate of sea level rise
| mm / year
| L / T
|-
|-
| Q<sub>bf</sub>
| Q<sub>bf</sub>
| bankfull water discharge
| bankfull water discharge
| m<sup>3</sup> / s
| L<sup>3</sup> / T
|-
|-
| B<sub>f</sub>
| B<sub>f</sub>
| floodplain width
| floodplain width
| km
| L
|-
|-
| D
| D
| grain size
| grain size
| mm
| L
|-
|-
| Λ
| Λ
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| Q<sub>tbf,feed</sub>
| Q<sub>tbf,feed</sub>
| volume bed material sediment transport rate during flood time
| volume bed material sediment transport rate during flood time
| -
| L<sup>3</sup> / T
|-
|-
| C
| C
| volume concentration of bed material load
| volume concentration of bed material load
| -
| M / L<sup>3</sup>
|-
|-
| BMSS
| BMSS
| flood concentration of bed material load
| flood concentration of bed material load
| mg / L
| M / L<sup>3</sup>
|-
|-
| S<sub>u</sub>
| S<sub>u</sub>
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| ξ<sub>do</sub>
| ξ<sub>do</sub>
| water surface elevation at t = 0
| water surface elevation at t = 0
| -
| L
|-
|-
| Δt
| Δt
| time interval for plotting
| time interval for plotting
| year
| T
|-
|-
| xhat
| xhat
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| x
| x
| downstream coordinate
| downstream coordinate
| km
| L
|-
|-
| Q<sub>tbf</sub>
| Q<sub>tbf</sub>
| volume bed material transport during flood stage
| volume bed material transport during flood stage
| m<sup>3</sup> / s
| L<sup>3</sup> / T
|-
|-
| Sl
| Sl
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| ξ<sub>dev</sub>
| ξ<sub>dev</sub>
| deviatoric bed elevation
| deviatoric bed elevation
| m
| L
|-
|-
| B<sub>bf</sub>
| B<sub>bf</sub>
| bankfull channel width
| bankfull channel width
| m
| L
|-
|-
| H<sub>bf</sub>
| H<sub>bf</sub>
| bankfull channel depth
| bankfull channel depth
| m
| L
|-
|-
| η
| η
| bed elevation
| bed elevation
| m
| L
|-
|-
| T
| T
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| X
| X
| initial water surface elevation
| initial water surface elevation
| m
| L
|-
|-
| t
| t
| time interval for plotting
| time interval for plotting
| yr
| T
|-
|-
| p
| p
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|-
|-
|}
|}


   </div>
   </div>
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==Developer(s)==
==Developer(s)==
<span class="remove_this_tag">Name of the module developer(s)</span>
[[User:Gparker|Gary Parker ]]


==References==
==References==
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<span class="remove_this_tag">Any link, eg. to the model questionnaire, etc.</span>
<span class="remove_this_tag">Any link, eg. to the model questionnaire, etc.</span>


[[Category:Modules]] [[Category:Utility components]]
[[Category:Utility components]]

Revision as of 15:30, 26 May 2011

The CSDMS Help System
The CSDMS Help System

SteadyStateAg

This model is a calculator for approach to equilibrium in recirculating and feed flumes

Model introduction

This program implements the calculation for steady-state aggradation of a sand-bed river in response to sea level rise at a constant rate.

Model parameters

Parameter Description Unit
Input directory path to input files
Site prefix Site prefix for Input/Output files
Case prefix Case prefix for Input/Output files
Parameter Description Unit
Mean annual bed material sediment feed rate Mt / yr
Reach length (downchannel distance) km
Rate of sea level rise mm / yr
Bankfull water discharge m3 / s
Floodplain width km
Grain size grain diameter mm
Fraction wash load deposited per unit bed material deposited -
Channel-forming Shield number -
Coefficient in Engelund-Hansen bed material load relation -
Bed porosity -
Flood intermittence -
Chezy resistance coefficient -
Channel sinuosity -
Submerged specific gravity of seidment -
Initial water surface elevation m
Time interval for plotting yr
Number of prints desired -
Parameter Description Unit
Model name name of the model -
Author name name of the model author -

Uses ports

This will be something that the CSDMS facility will add

Provides ports

This will be something that the CSDMS facility will add

Main equations

<math>S_{u}= {\frac{R C_{f} ^ \left ( {\frac{1}{2}}\right )} {\alpha _{EH} \tau _{form} ^*}} {\frac{Q_{tbf,feed}}{Q_{bf}}} </math> (1)
<math>{\frac{S}{S_{u}}} = \left ( 1 - \beta \hat{x}\right ) </math> (2)
<math>\hat{\eta} = {\frac{\eta_{dev}}{L}} </math> (3)
<math>\hat{x} = {\frac{x}{L}} </math> (4)
<math>\beta = {\frac{ \left (1 - \lambda _{p} \right ) B_{f} \dot{\xi} _{d} L}{I_{f} \Omega \left ( 1 + \Lambda \right ) Q_{tbf,feed}}} </math> (5)
<math>\hat{\eta} = S_{u} [ \left ( 1 - {\frac{1}{2}} \beta \right ) - \hat{x} + {\frac{1}{2}} \beta \hat{x} ^2 ] </math> (6)
<math>\eta = \xi _{do} + \dot{\xi} _{d} t + \eta _{dev} \left ( x \right ) </math> (7)
<math>{\frac{B_{bf}}{D}} = {\frac{C_{f}}{\alpha _{EH} \left ( \tau _{form} ^* \right ) ^ \left ( 2.5 \right ) }} {\frac{Q_{tbf}}{\sqrt { R g D } D^2}} </math> (8)
<math>{\frac{H}{D}} = {\frac{\alpha _{EH} \left ( \tau _{form} ^* \right ) ^2}{C_{f} ^ \left ({\frac{1}{2}} \right )}} {\frac{Q_{bf}}{Q_{tbf}}} </math> (9)
<math>{\frac{Q_{tbf}}{Q_{tbf,feed}}} = 1 - \beta \hat{x} </math> (10)

Notes

Examples

An example run with input parameters, BLD files, as well as a figure / movie of the output

Follow the next steps to include images / movies of simulations:

See also: Help:Images or Help:Movies

Developer(s)

Gary Parker

References

Key papers

Links

Any link, eg. to the model questionnaire, etc.

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