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geer > 2003 > posters > significance of microtopography as a control on surface-water flow in wetlands
Significance of Microtopography as a Control on Surface-Water Flow in WetlandsPoster presented April 2003, at the Greater Everglades Ecosystem Restoration Conference Jungyill Choi1, Judson Harvey, and Jessica T. Newlin [ Disclaimer ] |
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Surface-Water Flow Model |
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| The ground-surface elevation in WCA-2A varies by as much as 0.4 m vertically (over a horizontal distance of 100 meters), which is half of the typical annual fluctuation in surface-water depth (0.8 m) in that part of the Everglades. | ![]() [larger image] |
Rate Law (Hammer and Kadlec, 1986; Kadlec, 1990) v = Kf * db * Sf l where v is velocity,
Kf is the flow conductance,
d is the depth,
b is the depth exponent,
Sf is the friction slope, and
l is the slope exponent.
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Governing Flow Equation (assume diffusion wave approximation of the momentum equation and the slope exponent is equal to 1 for laminar flow conditions (modified from Hammer and Kadlec, 1986))
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Fraction of free surface water is estimated from the inverse cumulative distribution of the 100-m scale microtopographic measurements at sites F1 and U3, and is interpolated using a distance-weighted average for site F4.
Surface-water storage coefficient is estimated from field measurements of vegetation.
| Ss = 1 - |
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| Storage Coefficient (average) |
Value based on field measurements | ||
|---|---|---|---|
| F1 | F4 | U3 | |
| Ss | 0.99 | 0.97 | 0.97 |
| Sy | 0.7 | --- | 0.8 |
Specific yield (i.e., subsurface-water storage coefficient in wetland sediment) is estimated using a mass balance equation where total rainfall is equal to the change in volume of free surface water plus the change in volume of water in the porewater of the wetland sediments.
Mass Balance
| [Rainfall depth] * Area = [ fw * DH * Area * Ss ] + [ (1 - fw) * DH * Area * Sy] |
where DH is the change in surface-water elevation as a result of the rainfall on the given area.
Inverse modeling (using the USGS parameter optimization program, UCODE) shows that the optimal flow parameters (Kf and b) for the dry season are different than the optimal parameters for the wet season.
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The inversely estimated flow parameters (Kf and b) and variation of the fraction of free-surface water in a cross section (fw) from wet and dry seasons are correlated with microtopographic measurements to define the stage-dependency of these parameters.
Comparison of three different models
| Are Kf and b stage-dependent? | Is the cross-sectional area of flow controlled by microtopographic data? | Is storage-exchange with sediment porewater controlled by microtopographic data? | |
|---|---|---|---|
| Model 1 | No | No | No |
| Model 2 | No | Yes | Yes |
| Model 3 | Yes | Yes | Yes |
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| [Click on the graphs above to view larger images] | ||
The Root Mean Squared Error (RMSE) of the model 3 simulation was improved over model 1 by 55% at site F4 and 34% at site U3. The incorporation of microtopographic variability, therefore, improves the model's accuracy in simulating the observed data in WCA-2A.
A wetland surface-flow modeling approach that incorporates microtopography improves simulations of flow and water level in the Everglades, particularly when water levels are relatively low.
Results of this study indicate that microtopography is a significant control on surface-water flow in the Everglades, especially when the surface-water elevation declines to depths that begin to expose microtopographic highs.
Current modeling efforts focus on objectively determining the critical stages that affect stage-dependence in the flow parameters using an inverse modeling approach.
Hammer, D.E., and Kadlec, R.H. 1986. A model for wetland surface water dynamics: Water Resources Research, vol. 22, no. 13, pp. 1951-1958.
Kadlec, Robert H. 1990. Overland flow in wetlands - vegetation resistance: Journal of Hydraulic Engineering, vol. 116, no. 5, pp. 691-706.
Funding from South Florida Water Management District (Cooperative Agreement C-10719) and from USGS Place-Based Studies Program are gratefully acknowledged.
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Related information:
SOFIA Project: Groundwater-Surface Water Interactions and Relation to Water Quality in the Everglades
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U.S. Department of the Interior, U.S. Geological Survey
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Last updated: 03 January, 2005 @ 10:23 AM (KP)