Investigations of stream-aquifer interactions using a coupled surface-water and ground-water flow model

Persistent Link:
http://hdl.handle.net/10150/615700
Title:
Investigations of stream-aquifer interactions using a coupled surface-water and ground-water flow model
Author:
Vionnet, Leticia Beatriz; Maddock, Thomas, III; Goodrich, David C.
Affiliation:
Department of Hydrology & Water Resources, The University of Arizona
Publisher:
Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ)
Issue Date:
1997-01
Rights:
Copyright © Arizona Board of Regents
Collection Information:
This title from the Hydrology & Water Resources Technical Reports collection is made available by the Department of Hydrology & Atmospheric Sciences and the University Libraries, University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.
Abstract:
A finite element numerical model is developed for the modeling of coupled surface-water flow and ground-water flow. The mathematical treatment of subsurface flows follows the confined aquifer theory or the classical Dupuit approximation for unconfined aquifers whereas surface-water flows are treated with the kinematic wave approximation for open channel flow. A detailed discussion of the standard approaches to represent the coupling term is provided. In this work, a mathematical expression similar to Ohm's law is used to simulate the interacting term between the two major hydrological components. Contrary to the standard approach, the coupling term is incorporated through a boundary flux integral that arises naturally in the weak form of the governing equations rather than through a source term. It is found that in some cases, a branch cut needs to be introduced along the internal boundary representing the stream in order to define a simply connected domain, which is an essential requirement in the derivation of the weak form of the ground-water flow equation. The fast time scale characteristic of surface-water flows and the slow time scale characteristic of ground-water flows are clearly established, leading to the definition of three dimensionless parameters, namely, a Peclet number that inherits the disparity between both time scales, a flow number that relates the pumping rate and the streamflow, and a Biot number that relates the conductance at the river-aquifer interface to the aquifer conductance. The model, implemented in the Bill Williams River Basin, reproduces the observed streamflow patterns and the ground-water flow patterns. Fairly good results are obtained using multiple time steps in the simulation process.
Keywords:
Streamflow -- Mathematical models.; Groundwater flow -- Mathematical models.; Riparian ecology.; Aquifers.; Numerical analysis.
Series/Report no.:
Technical Reports on Hydrology and Water Resources, No. 97-020
Sponsors:
This research was supported in part by the Fish and Wildlife Service. Its sponsorship and in particular, the continuous support,we received from Steve Cullinan and Les Cunningham is gratefully acknowledged. The research was also supported in part by Microway Company with a gift of an I -860 board and software. Our thanks to Ann and Steve Freid. The views and conclusions contained in this document are those of the authors and should not be interrupted as necessarily representing the official policies, either expressed or implied, of the Fish and Wildlife Service or of the Microway Company Particular thanks go to Laurel Lacher and Shlomo P. Neuman for listening, discussing ideas, and suggesting ideas.

Full metadata record

DC FieldValue Language
dc.contributor.authorVionnet, Leticia Beatrizen
dc.contributor.authorMaddock, Thomas, IIIen
dc.contributor.authorGoodrich, David C.en
dc.date.accessioned2016-07-07T18:17:30Z-
dc.date.available2016-07-07T18:17:30Z-
dc.date.issued1997-01-
dc.identifier.urihttp://hdl.handle.net/10150/615700-
dc.description.abstractA finite element numerical model is developed for the modeling of coupled surface-water flow and ground-water flow. The mathematical treatment of subsurface flows follows the confined aquifer theory or the classical Dupuit approximation for unconfined aquifers whereas surface-water flows are treated with the kinematic wave approximation for open channel flow. A detailed discussion of the standard approaches to represent the coupling term is provided. In this work, a mathematical expression similar to Ohm's law is used to simulate the interacting term between the two major hydrological components. Contrary to the standard approach, the coupling term is incorporated through a boundary flux integral that arises naturally in the weak form of the governing equations rather than through a source term. It is found that in some cases, a branch cut needs to be introduced along the internal boundary representing the stream in order to define a simply connected domain, which is an essential requirement in the derivation of the weak form of the ground-water flow equation. The fast time scale characteristic of surface-water flows and the slow time scale characteristic of ground-water flows are clearly established, leading to the definition of three dimensionless parameters, namely, a Peclet number that inherits the disparity between both time scales, a flow number that relates the pumping rate and the streamflow, and a Biot number that relates the conductance at the river-aquifer interface to the aquifer conductance. The model, implemented in the Bill Williams River Basin, reproduces the observed streamflow patterns and the ground-water flow patterns. Fairly good results are obtained using multiple time steps in the simulation process.en
dc.description.sponsorshipThis research was supported in part by the Fish and Wildlife Service. Its sponsorship and in particular, the continuous support,we received from Steve Cullinan and Les Cunningham is gratefully acknowledged. The research was also supported in part by Microway Company with a gift of an I -860 board and software. Our thanks to Ann and Steve Freid. The views and conclusions contained in this document are those of the authors and should not be interrupted as necessarily representing the official policies, either expressed or implied, of the Fish and Wildlife Service or of the Microway Company Particular thanks go to Laurel Lacher and Shlomo P. Neuman for listening, discussing ideas, and suggesting ideas.en
dc.language.isoen_USen
dc.publisherDepartment of Hydrology and Water Resources, University of Arizona (Tucson, AZ)en
dc.relation.ispartofseriesTechnical Reports on Hydrology and Water Resources, No. 97-020en
dc.rightsCopyright © Arizona Board of Regentsen
dc.sourceProvided by the Department of Hydrology and Water Resources.en
dc.subjectStreamflow -- Mathematical models.en
dc.subjectGroundwater flow -- Mathematical models.en
dc.subjectRiparian ecology.en
dc.subjectAquifers.en
dc.subjectNumerical analysis.en
dc.titleInvestigations of stream-aquifer interactions using a coupled surface-water and ground-water flow modelen_US
dc.typetexten
dc.typeTechnical Reporten
dc.contributor.departmentDepartment of Hydrology & Water Resources, The University of Arizonaen
dc.description.collectioninformationThis title from the Hydrology & Water Resources Technical Reports collection is made available by the Department of Hydrology & Atmospheric Sciences and the University Libraries, University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.en
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