Hydrograph for small basins following intense storms

Physics – Geophysics

Scientific paper

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Hydrology: Groundwater Hydrology, Hydrology: Runoff And Streamflow, Hydrology: Floods, Mathematical Geophysics: Modeling

Scientific paper

We show how diffusive fluxes based on Darcy's law define groundwater hydrographs following sharp perturbations on the hydraulic head. The derived normalized hydrograph is based on a single fitting parameter, the time constant ``b'', and has great semblance to observed discharge hydrographs for many karst springs and small rivers following rainfall events. Observed time constants increase with basin area but at a given site decrease as peak flows increase. The predicted interval between a pulse in head and the resultant peak flow is equal to 2b/3. Longer delays are observed between actual rainfall events and peak flows because the head perturbation must postdate the rainfall.

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