Limitations on ODE representation of drainage tiles in a hillslope runoff model
Abstract
To incorporate drainage tiles within our hillslope runoff model, we are investigating ODE (ordinary differential equation) representations for the tile flux. Previous work has verified that the assumptions made by the water management software Drainmod are consistent with two-dimensional simulations using the software Hydrus, which is based on Richard's PDE (partial differential equation) model. We have extended Hydrus simulations to three dimensions for hillslopes of various grade with and without tiles. We have developed an equation to represent the storage-discharge relationship from these simulations in order to isolate the tile flow and translate the PDE flux into a representative ODE flux. After simulating the ODE model in MATLAB, we conclude that the assumptions used in Drainmod are insufficient to depict the competition between flows perpendicular and parallel to the tiles in three dimensions.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2018
- Bibcode:
- 2018AGUFM.H43E2440F
- Keywords:
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- 1804 Catchment;
- HYDROLOGYDE: 1834 Human impacts;
- HYDROLOGYDE: 1880 Water management;
- HYDROLOGYDE: 1899 General or miscellaneous;
- HYDROLOGY