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D-Infinity Transport Limited Accumulation

Title D-Infinity Transport Limited Accumulation

Summary

This function is designed to calculate the transport and deposition of a substance (e.g. sediment) that may be limited by both supply and the capacity of the flow field to transport it. This function accumulates substance flux (e.g. sediment transport) subject to the rule that transport out of any grid cell is the minimum between supply and transport capacity, Tcap. The total supply at a grid cell is calculated as the sum of the transport in from upslope grid cells, Tin, plus the local supply contribution, E (e.g. erosion). This function also outputs deposition, D, calculated as total supply minus actual transport.

Transportation Limited Accumulation Equation

Here (E) is the supply. (Tout) at each grid cell becomes (Tin) for downslope grid cells and is reported as Transport limited accumulation (tla). D is deposition (tdep). The function provides the option to evaluate concentration of a compound (contaminant) adhered to the transported substance. This is evaluated as follows:


Transportation Limited Accumulation Equation #1

Where (Lin) is the total incoming compound loading and (Cin) and (Tin) refer to the Concentration and Transport entering from each upslope grid cell.


Transportation Limited Accumulation Equation #2

If


Transportation Limited Accumulation Equation #3

else


Transportation Limited Accumulation Equation #4

where (Cs) is the concentration supplied locally and the difference in the second term on the right represents the additional supply from the local grid cell. Then,


Transportation Limited Accumulation Equation #5

(Cout) at each grid cell comprises is the concentration grid output from this function. If the outlets shapefile is used the tool only evaluates that part of the domain that contributes flow to the locations given by the shapefile. Transport limited accumulation is useful for modeling erosion and sediment delivery, including the spatial dependence of sediment delivery ratio and contaminant that adheres to sediment.


Syntax

DInfTransportLimited (Input_D-Infinity_Flow_Direction_Grid__must_be__tif_, Input_Supply_Grid__must_be__tif_, Input_Transport_Capacity_Grid__must_be__tif_, Input_Concentration_Grid__must_be__tif_, Input_Outlets_Shapefile__must_be__shp_, Check_for_Edge_Contamination, Input_Number_of_Processes, Output_Transport_Limited_Accumulation_Grid__must_be__tif_, Output_Deposition_Grid__must_be__tif_, Output_Concentration_Grid__must_be__tif_)

Parameter Explanation Data Type
Input_D-Infinity_Flow_Direction_Grid__must_be__tif_ Dialog Reference

A grid giving flow direction by the D-infinity method. Flow direction is measured in radians, counter clockwise from east. This can be created by the tool D-Infinity Flow Directions  . The algorithm is described in Tarboton, D. G., (1997), "A New Method for the Determination of Flow Directions and Contributing Areas in Grid Digital Elevation Models," Water Resources Research, 33(2): 309-319.

Raster Layer (Must be TIFF File)
Input_Supply_Grid__must_be__tif_ Dialog Reference

A grid giving the supply (loading) of material to a transport limited accumulation function. In the application to erosion, this grid would give the erosion detachment, or sediment supplied at each grid cell.

Raster Layer (Must be TIFF File)
Input_Transport_Capacity_Grid__must_be__tif_ Dialog Reference

A grid giving the transport capacity at each grid cell for the transport limited accumulation function. In the application to erosion this grid would give the transport capacity of the carrying flow.

Raster Layer (Must be TIFF File)
Input_Concentration_Grid__must_be__tif_ (Optional) Dialog Reference

A grid giving the concentration of a compound of interest in the supply to the transport limited accumulation function. In the application to erosion, this grid would give the concentration of say phosphorous adhered to the eroded sediment.

Raster Layer (Must be TIFF File)
Input_Outlets_Shapefile__must_be__shp_ (Optional) Dialog Reference

This optional input is a point shapefile defining outlets of interest. If this file is used, the tool will only evaluate the area upslope of these outlets.

Feature Layer (Must be SHP File)
Check_for_Edge_Contamination Dialog Reference

This checkbox determines whether the tool should check for edge contamination. Edge contamination is defined as the possibility that a value may be underestimated due to grid cells outside of the domain not being considered when determining the result. This occurs when drainage is inwards from the boundaries or areas with no data values for elevation. The algorithm recognizes this possibility and reports no data for the result. It is common to see streaks of no data values extending inwards from boundaries along flow paths that enter the domain at a boundary. This is the desired effect, and indicates that values for these grid cells is unknown due to it being dependent on terrain outside of the available data. Edge contamination checking may be overridden in cases where you know it is not an issue, or want to ignore the problems, if for example, the DEM has been clipped along a watershed outline.

Boolean
Input_Number_of_Processes Dialog Reference

This input indicates the number of stripes that the domain will be divided into and the number of MPI parallel processes that will be spawned to evaluate each piece of the domain.

Long
Output_Transport_Limited_Accumulation_Grid__must_be__tif_ Dialog Reference

This grid is the weighted accumulation of supply accumulated respecting the limitations in transport capacity and reports the transport rate calculated by accumulating the substance flux subject to the rule that the transport out of any grid cell is the minimum of the total supply (local supply plus transport in) to that grid cell and the transport capacity.

Raster Dataset
Output_Deposition_Grid__must_be__tif_ Dialog Reference

A grid giving the deposition resulting from the transport limited accumulation. This is the residual from the transport in to each grid cell minus the transport capacity out of the grid cell. The deposition grid is calculated as the transport in + the local supply - the tranport out.

Raster Dataset
Output_Concentration_Grid__must_be__tif_ (Optional) Dialog Reference

If an input concentation in supply grid is given, then this grid is also output and gives the concentration of a compound (contaminant) adhered or bound to the transported substance (e.g. sediment) is calculated.

Raster Dataset