Model:Quad: Difference between revisions

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|Spatialscale=Regional-Scale, Landscape-Scale
|Spatialscale=Regional-Scale, Landscape-Scale
|One-line model description=Geometric model to study the response of fluvial-deltas to base-level changes.
|One-line model description=Geometric model to study the response of fluvial-deltas to base-level changes.
|Extended model description=We present a geometric model able to track the geomorphic boundaries that delimit the fluvial plain of fluvial-deltas: the shoreline and the alluvial-bedrock transition. By assuming a fluvial profile with a quadratic form, which satisfies the overall mass balance and the boundary conditions dictated by diffusive transport, we are able to provide a solution that accounts for general base-level changes.  
|Extended model description=We present a geometric model able to track the geomorphic boundaries that delimit the fluvial plain of fluvial-deltas: the shoreline and the alluvial-bedrock transition. By assuming a fluvial profile with a quadratic form, which satisfies the overall mass balance and the boundary conditions dictated by diffusive transport, we are able to provide a solution that accounts for general base-level changes.
}}
}}
{{Start model keyword table}}
{{Start model keyword table}}
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{{End a table}}
{{End a table}}
{{Modeler information
{{Modeler information
|First name=Jorge  
|First name=Jorge
|Last name=Lorenzo Trueba
|Last name=Lorenzo Trueba
|Type of contact=Model developer
|Type of contact=Model developer
|Institute / Organization=Saint Anthony Falls Laboratory
|Institute / Organization=Saint Anthony Falls Laboratory
|Postal address 1=2 Third Ave SE  
|Postal address 1=2 Third Ave SE
|Town / City=Minneapolis
|Town / City=Minneapolis
|Postal code=55414
|Postal code=55414
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}}
}}
{{Input - Output description
{{Input - Output description
|Describe input parameters=1. Length scale [L].
|Describe input parameters=Physical parameters: (1) Length scale [L]; (2) Average rate of water supply per unit width [L^2/T]; (3) Basement slope [-]; (4) sediment unit-flux, defined as the sediment input from the river network in units of volume per unit width [L^2/T]; (5) Base-level curve.  
2. Fluvial diffusivity [L^2/T].
 
3. Basement slope [-]
Time and printout parameters: (1) Running time (Tmax), (2) time step (dt), (3) number of time steps per output storage (w).
4. Alluvial-basement slope ratio [-]. Ratio between fluvial and basement slopes at the alluvial-basement transition. Its value is physically constrained to be in the range (0,1).  
 
5. Base-level curve.
|Input format=ASCII
|Input format=ASCII
|Describe output parameters=Shoreline and alluvial-basement trajectories.
|Describe output parameters=Shoreline and alluvial-bedrock transition trajectories over time.
 
Future versions of the model will include the profile evolution.
|Output format=ASCII
|Output format=ASCII
|Pre-processing software needed?=No
|Pre-processing software needed?=No
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}}
}}
{{Process description model
{{Process description model
|Describe key physical parameters and equations=The key physical parameters are: (1) length scale, (2) fluvial diffusivity, (3) basement slope, (4) sediment input from the river inputs, and (5) base-level curve.
|Describe processes represented by the model=We model sedimentation in a fluvio-deltaic system under base-level changes. Possible dynamics include: (1) river aggradation (i.e., a seawards migration of the alluvial-basement transition), (2) river degradation (i.e., a landwards migration of the alluvial-basement transition), (3) regression (i.e., a seawards migration of the shoreline), and (4) transgression (e.g., a landwards migration of the shoreline).
|Describe key physical parameters and equations=The key physical parameters are: (1) the sediment unit-flux, defined as the sediment input from the river network in units of volume per unit width. (2) The average water discharge per unit width. (3) The basement slope on top of which the delta develops. (4) The base-level curve.  


The key equations are a sediment mass balance and four boundary conditions. Two boundary conditions are derived geometrically, and the other two are obtained by assuming that the sediment flux is a function of the local slope (i.e., diffusion).
The key equations are a sediment mass balance and the boundary conditions dictated by diffusive transport (i.e., the sediment flux is proportional to the local bed slope through the fluvial diffusivity). To first order calculations, we assume the fluvial diffusivity to be 0.1 times the water discharge per unit width. More accurate expressions for the fluvial diffusivity can be found in Paola 2000 and Lorenzo-Trueba et al.2009.
 
 
 
|Describe length scale and resolution constraints=In the field, this model is applicable in the range of landscape and regional scales (~10-100km). It has also been successfully applied at the scale of physical experiments.  
|Describe time scale and resolution constraints=We use the ‘basin equilibrium timescale’ (Paola 2000), defined as the length scale square divided by the fluvial diffusivity. In field settings, this time scale can range from centennial to millennia up to millions of years.
|Describe any numerical limitations and issues=Currently it is not possible to model transgression followed by regression.
}}
}}
{{Model testing
{{Model testing
|Describe available calibration data sets=No calibration data sets. We validate the model against available analytical solutions and use it to analyze the system behavior under a general base-level fall and base-level rise. See Lorenzo-Trueba et al. 2012.
|Describe available calibration data sets=No calibration data sets. We validate the model against available analytical solutions and use it to analyze the system behavior under a general base-level fall and base-level rise. See Lorenzo-Trueba et al. 2012.
|Describe ideal data for testing=Physical experiments or field data.  
|Describe ideal data for testing=Physical experiments and/or field observations of the sedimentary record.  
}}
}}
{{Users groups model}}
{{Users groups model}}
{{Documentation model
{{Documentation model
|Provide key papers on model if any=J. Lorenzo-Trueba, V. R. Voller and Chris Paola, A geometric model for the dynamics of a fluvial dominated deltaic system under base-level change, Computer & Geosciences, Special issue “Modeling for Environmental Change”.
|Provide key papers on model if any=J. Lorenzo-Trueba, V. R. Voller and Chris Paola, A geometric model for the dynamics of a fluvial dominated deltaic system under base-level change, Computer & Geosciences, Special issue “Modeling for Environmental Change”.
Further reading:
Paola, C., 2000. Quantitative models of sedimentary basin filling. Sedimentology, 47, 121-178.
Lorenzo-Trueba, J., V.R. Voller, T. Muto, T., Kim, W., Paola, C., Swenson, J. B., 2009. A similarity solution for a dual moving boundary problem associated with a coastal-plain depositional system. Journal of Fluid Mechanics 628, 427-443.
|Manual model available=No
|Manual model available=No
}}
}}

Revision as of 23:27, 20 December 2011



Quad


Metadata

Also known as
Model type Tool
Model part of larger framework
Note on status model
Date note status model
Incorporated models or components:
Spatial dimensions 1D
Spatial extent Regional-Scale, Landscape-Scale
Model domain
One-line model description Geometric model to study the response of fluvial-deltas to base-level changes.
Extended model description We present a geometric model able to track the geomorphic boundaries that delimit the fluvial plain of fluvial-deltas: the shoreline and the alluvial-bedrock transition. By assuming a fluvial profile with a quadratic form, which satisfies the overall mass balance and the boundary conditions dictated by diffusive transport, we are able to provide a solution that accounts for general base-level changes.
Keywords:

delta evolution, shoreline dynamics, alluvial-basement transition, base-level changes,

Name Jorge Lorenzo Trueba
Type of contact Model developer
Institute / Organization Saint Anthony Falls Laboratory
Postal address 1 2 Third Ave SE
Postal address 2
Town / City Minneapolis
Postal code 55414
State Minnesota
Country United States
Email address loren153@umn.edu
Phone
Fax


Supported platforms
Unix, Linux, Mac OS, Windows
Other platform
Programming language

Matlab

Other program language
Code optimized Single Processor
Multiple processors implemented
Nr of distributed processors
Nr of shared processors
Start year development 2010
Does model development still take place? No
If above answer is no, provide end year model development 2011
Code development status
When did you indicate the 'code development status'?
Model availability As code, As teaching tool
Source code availability
(Or provide future intension)
Source web address
Source csdms web address
Program license type GPL v2
Program license type other
Memory requirements
Typical run time typically less than 10 seconds


Describe input parameters [[Describe input parameters model::Physical parameters: (1) Length scale [L]; (2) Average rate of water supply per unit width [L^2/T]; (3) Basement slope [-]; (4) sediment unit-flux, defined as the sediment input from the river network in units of volume per unit width [L^2/T]; (5) Base-level curve.

Time and printout parameters: (1) Running time (Tmax), (2) time step (dt), (3) number of time steps per output storage (w).]]

Input format ASCII
Other input format
Describe output parameters Shoreline and alluvial-bedrock transition trajectories over time.

Future versions of the model will include the profile evolution.

Output format ASCII
Other output format
Pre-processing software needed? No
Describe pre-processing software
Post-processing software needed? No
Describe post-processing software
Visualization software needed? No
If above answer is yes
Other visualization software


Describe processes represented by the model We model sedimentation in a fluvio-deltaic system under base-level changes. Possible dynamics include: (1) river aggradation (i.e., a seawards migration of the alluvial-basement transition), (2) river degradation (i.e., a landwards migration of the alluvial-basement transition), (3) regression (i.e., a seawards migration of the shoreline), and (4) transgression (e.g., a landwards migration of the shoreline).
Describe key physical parameters and equations The key physical parameters are: (1) the sediment unit-flux, defined as the sediment input from the river network in units of volume per unit width. (2) The average water discharge per unit width. (3) The basement slope on top of which the delta develops. (4) The base-level curve.

The key equations are a sediment mass balance and the boundary conditions dictated by diffusive transport (i.e., the sediment flux is proportional to the local bed slope through the fluvial diffusivity). To first order calculations, we assume the fluvial diffusivity to be 0.1 times the water discharge per unit width. More accurate expressions for the fluvial diffusivity can be found in Paola 2000 and Lorenzo-Trueba et al.2009.

Describe length scale and resolution constraints In the field, this model is applicable in the range of landscape and regional scales (~10-100km). It has also been successfully applied at the scale of physical experiments.
Describe time scale and resolution constraints We use the ‘basin equilibrium timescale’ (Paola 2000), defined as the length scale square divided by the fluvial diffusivity. In field settings, this time scale can range from centennial to millennia up to millions of years.
Describe any numerical limitations and issues Currently it is not possible to model transgression followed by regression.


Describe available calibration data sets No calibration data sets. We validate the model against available analytical solutions and use it to analyze the system behavior under a general base-level fall and base-level rise. See Lorenzo-Trueba et al. 2012.
Upload calibration data sets if available:
Describe available test data sets
Upload test data sets if available:
Describe ideal data for testing Physical experiments and/or field observations of the sedimentary record.


Do you have current or future plans for collaborating with other researchers?
Is there a manual available? No
Upload manual if available:
Model website if any
Model forum / discussion board
Comments


This part will be filled out by CSDMS staff

OpenMI compliant No not possible
BMI compliant No not possible
WMT component Not yet"Not yet" is not in the list (Yes, In progress, No but possible, No not possible) of allowed values for the "Code CMT compliant or not" property.
PyMT component
Is this a data component
Can be coupled with:
Model info
Nr. of publications: --
Total citations: 0
h-index: --"--" is not a number.
m-quotient: 0
Qrcode Quad.png
Link to this page


Introduction

History

Papers

Issues

Help

Input Files

Output Files

Download source code