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. | ||
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{{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 | |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 | |||
3 | Time and printout parameters: (1) Running time (Tmax), (2) time step (dt), (3) number of time steps per output storage (w). | ||
4 | |||
|Input format=ASCII | |Input format=ASCII | ||
|Describe output parameters=Shoreline and alluvial- | |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) | |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 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 | |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
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