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ModelMuse Help

The RIV: River package pane is on the MODFLOW Features tab of the Object Properties dialog box.

The data that can be specified for the River package are the Starting time, Ending time, River stage, Conductance, and River bottom. The River stage is the head in the river. River bottom is the elevation of the bottom of the river bed.

Water can leave the groundwater through the river boundary when the head in the cell is higher than the River stage. The rate of flow will be proportional to the difference between the River stage and the head in the cell.

Water can enter the groundwater at a variable rate through the river boundary when the head in the cell is below than the River stage but higher than the River bottom. The rate of flow will be proportional to the difference between the River stage and the head in the cell.

Water can enter the groundwater at a constant rate through the river boundary when the head in the cell is below than the River bottom. The rate of flow will be proportional to the difference between the River stage and the River bottom.

River Multiplier is only used if it has been activated in the RIV: River Package. If River Multiplier is specified, the river conductance is multiplied by the River Multiplier value.

The Conductance is the factor that relates the difference in head to the rate of flow.

Starting time and Ending time are explained in the help for the MODFLOW Features tab.

If parameters are used with an object, River stage, and River bottom must be defined for each parameter as well as a multiplier for the Conductance. MODFLOW will multiply the multiplier by the parameter value (specified in the MODFLOW Packages and Programs dialog box) to determine the conductance to apply.

In MODFLOW, the Conductance is described as having units of L2/T and is equal to KLW/M where

K = the hydraulic conductivity of the sediment in the boundary condition such as a river or drain,

L = the length of the boundary condition in the cell,

W = the width of the boundary condition, and

M = the thickness of the sediment in the boundary condition perpendicular to flow between the boundary and the cell. Usually this will be vertical thickness of the sediment.

However, the conductance is also affected by the grid cell size independent of the above formula (Mehl and Hill, 2010).

For Polyline Objects, the length of the object in the cell can be determined with the function ObjectSectionIntersectLength.

One way to to set the conductance would be with a formula that includes ObjectSectionIntersectLength and user defined Global Variables for the width of the drain and the thickness of the sediment in the drain and perhaps the hydraulic conductivity of the sediment in the drain. For example, the user could define Global Variables named "DrainWidth" and "DrainSedimentThickness" and then set the Conductance of the drain using the following formula.  

((Kz * ObjectSectionIntersectLength) * DrainWidth) / DrainSedimentThickness

In the formula, it is assumed that the hydraulic conductivity of the sediment in the drain is the same of the vertical hydraulic conductivity of the cell that contains the drain. This may or may not be a valid assumption in any particular case.

A similar formula appropriate for Polygon Objects would be

(Kz * ObjectIntersectArea) / DrainSedimentThickness

However, if Conductance Interpretation is set to Calculated, as it is by default, ObjectSectionIntersectLength and ObjectIntersectArea should not be included in the formulas because they will be incorporated automatically for polyline and polygon objects. Thus, if Conductance Interpretation is set to Calculated for a Polyline Object, Conductance should be treated as if it were KW/M instead of KLW/M, its units would be L/T, and an appropriate formula would be

(Kz * DrainWidth) / DrainSedimentThickness

Conductance Interpretation has no effect for point objects. For point objects, the formulas will be applied without any modification regardless of Conductance Interpretation.

if Conductance Interpretation is set to Calculated for a Polygon Object, Conductance should be treated as if it were K/M instead of KLW/M, its units would be 1/t, and an appropriate formula would be

Kz / DrainSedimentThickness

If Conductance Interpretation is set to Direct, the formulas will be applied without any modification.

If Conductance Interpretation is set to Total per layer the formulas will be modified by multiplying the conductance by ObjectSectionIntersectLength / ObjectLength or ObjectIntersectArea / ObjectArea.

Setting the Conductance Interpretation to Calculated or Total per layer allows ModelMuse to calculate an appropriate conductance for a cell based on the length or area of intersection between the object and cell. However, if you calibrate your model and then change the grid size, the conductances assigned by ModelMuse may no longer be appropriate and you may have to recalibrate your model. The conductance is a coefficient of proportionality between the head difference in the cell and the flow to the boundary. When the grid size changes, the head in the cell will be averaged over a different area than before. This conductances will need to be adjusted because of this change in head.