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MODELING STREAM-AQUIFIER INTERACTIONS WITH LINEAR RESPONSE FUNCTIONS
Citation:
Hantush*, M M. MODELING STREAM-AQUIFIER INTERACTIONS WITH LINEAR RESPONSE FUNCTIONS. R. Krzysztofowicz, C. Neal, M. Sophocleous, G. Vachaud (ed.), JOURNAL OF HYDROLOGY. Elsevier Science, New York, NY, 311(104):59-79, (2005).
Description:
The problem of stream-aquifer interactions is pertinent to conjunctive-use management of water resources and riparian zone hydrology. Closed form solutions are derived for stream-aquifer interactions in rates and volumes expressed as convolution integrals of impulse response and unit step response functions. The solutions relate channel reach discharge and stream-aquifer exchanged rates and volumes to a variety of input system's excitations, such as channel inflow hydrographs, water table accretion (negative for evapotranspirative losses), water-table fluctuations upgradient from the stream bank, hill slope runoff and interflow, and direct recipiatation and evaporation from channel surface. Channel flow is modeled using the Muskingum linear storage relationship. Aquifer is assumed homogeneous in which flow is essentially horizontal, normal to channel flow direction. Analytical, discrete-time unit response functions are derived for arbitrary hydrographs, which extend the utility of the model to a wider spectrum of applications. Sensitivity of the impulse response functions to aquifer hydraulic parameters is evaluated, and applications to example flow scenarios illustrate the utility of the solutions for computing groundwater-surface water interactions during storm and drought events and in the presence of water management controls.