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Τίτλος: Response of sloping unconfined aquifer to stage changes in adjacent stream I. Theoretical analysis and derivation of system response functions
Συγγραφείς: Akylas, Evangelos 
Koussis, A.D. 
Major Field of Science: Engineering and Technology
Field Category: Environmental Engineering
Λέξεις-κλειδιά: Aquifer;Bank storage;Boussinesq;Laplace transform;Stream–aquifer interaction;Transient flow
Ημερομηνία Έκδοσης: Φεβ-2007
Πηγή: Journal of Hydrology, 2007, vol. 338, no. 1–2, pp. 85–95
Volume: 338
Issue: 1-2
Start page: 85
End page: 95
Περιοδικό: Journal of Hydrology 
Περίληψη: We study the interaction of a stream with a sloping unconfined aquifer that the stream is assumed to fully penetrate. The analysis applies to flow in a vertical section, considers the existence of a low-conductivity streambed layer and the flow in the aquifer to be induced by variations of the stream stage. Invoking the Dupuit assumption yields the 1-D Boussinesq equation, extended for a sloping base. The Boussinesq equation is linearised, the derived flow model is critiqued and an objective procedure for determining the linearisation level is developed. We solve the linear governing equation by the method of Laplace transform, with analytical inversion; the horizontal-aquifer case is treated in the zero-slope limit. The system response function is derived for the general case (sloping aquifer, sediment bed layer) and for several specific cases, and solutions are verified against known analytical results. Responses are contrasted for aquifers on positive, negative and zero slopes to step changes in the stage of streams with and without a sediment bed layer. The solutions give the aquifer stage and flow rate, the flow exchange rate at the stream–aquifer interface and the exchanged water volumes (bank storage/release).
URI: https://hdl.handle.net/20.500.14279/8738
ISSN: 221694
DOI: 10.1016/j.jhydrol.2007.02.021
Rights: © Elsevier
Type: Article
Affiliation: Institute for Environmental Research and Sustainable Development 
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