# A physics‐based function for modeling transient groundwater discharge at the watershed scale

@article{Sloan2000APF, title={A physics‐based function for modeling transient groundwater discharge at the watershed scale}, author={William T. Sloan}, journal={Water Resources Research}, year={2000}, volume={36}, pages={225 - 241} }

In the majority of lumped water balance models of river basins, groundwater is represented by a single reservoir, and groundwater discharge is described by a single‐ valued function of storage in the reservoir. It is demonstrated that single‐valued storage‐ discharge functions are often incapable of representing the actual storage‐discharge characteristics of a river basin. An alternative discharge function is proposed which is derived from a solution to the one‐dimensional saturated flow…

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## 29 References

### A physically based, variable contributing area model of basin hydrology

- Environmental Science
- 1979

A hydrological forecasting model is presented that attempts to combine the important distributed effects of channel network topology and dynamic contributing areas with the advantages of simple…

### Discharge and water table predictions using a generalised TOPMODEL formulation

- Environmental Science
- 1997

A simple, generalized saturated zone formulation is presented in this paper to relax the assumption of an exponential function originally made in TOPMODEL. This saturated zone model is based on the…

### On hydrologic similarity: 3. A dimensionless flood frequency model using a generalized geomorphologic unit hydrograph and partial area runoff generation

- Engineering
- 1990

One of the shortcomings of the original theory of the geomorphologic unit hydrograph (GUH) is that it assumes that runoff is generated uniformly from the entire catchment area. It is now recognized…

### Regionalized drought flow hydrographs from a mature glaciated plateau

- Environmental Science
- 1977

The drought or base flow characteristics of six basins in the Finger Lakes region are obtained by considering for each available record the lower envelope of |dQ/dt| as a function of Q, where Q is…

### Modeling subsurface stormflow on steeply sloping forested watersheds

- Geology
- 1984

Five mathematical models for predicting subsurface flow were compared to discharge measurements made by Hewlett and Hibbert (1963) on a uniform sloping soil trough at the Coweeta Hydrologic…

### An introduction to the European Hydrological System — Systeme Hydrologique Europeen, “SHE”, 1: History and philosophy of a physically-based, distributed modelling system

- Environmental Science
- 1986

### Partial Area Contributions to Storm Runoff in a Small New England Watershed

- Engineering
- 1970

During an experimental study of runoff producing mechanisms in a small drainage basin, the major portion of storm runoff was produced as overland flow on a small proportion of the watershed. Where…

### Toward a generalization of the TOPMODEL concepts:Topographic indices of hydrological similarity

- Environmental Science
- 1996

Preliminary studies of the application of TOPMODEL to the 36-ha Ringelbach catchment suggested that the original form of exponential transmissivity function leading to the In (a/tan β) topographic…

### Linking parameters across scales: Subgrid parameterizations and scale dependent hydrological models.

- Environmental Science
- 1995

It is argued that the aggregation approach towards macroscale hydrological modelling, in which it is assumed that a model applicable at small scales can be applied at larger scales using effective…

### Scaling behaviour of hydrological fluxes and variables: Empirical studies using a hydrological model and remote sensing data

- Environmental Science
- 1995

The effects of small-scale heterogeneity in land surface characteristics on the large-scale fluxes of water and energy in the land-atmosphere system has become a central focus of many of the…