dc.contributor.author Vionnet, Leticia Beatriz dc.creator Vionnet, Leticia Beatriz en_US dc.date.accessioned 2011-10-31T18:39:29Z dc.date.available 2011-10-31T18:39:29Z dc.date.issued 1995 en_US dc.identifier.uri http://hdl.handle.net/10150/187414 dc.description.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. dc.language.iso en en_US dc.publisher The University of Arizona. en_US dc.rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. en_US dc.subject Hydrology. en_US dc.subject Streamflow -- Mathematical models. en_US dc.subject Groundwater flow -- Mathematical models. en_US dc.subject Riparian ecology. en_US dc.subject Aquifers. en_US dc.subject Numerical analysis. en_US dc.title Investigation of stream-aquifer interactions using a coupled surface water and groundwater flow model. en_US dc.type text en_US dc.type Dissertation-Reproduction (electronic) en_US dc.contributor.chair Maddock, Thomas III en_US dc.identifier.oclc 708252163 en_US thesis.degree.grantor University of Arizona en_US thesis.degree.level doctoral en_US dc.contributor.committeemember Neuman, Shlomo en_US dc.contributor.committeemember Goodrich, David en_US dc.identifier.proquest 9622989 en_US thesis.degree.discipline Hydrology and Water Resources en_US thesis.degree.discipline Graduate College en_US thesis.degree.name Ph.D. en_US refterms.dateFOA 2018-06-24T11:01:06Z html.description.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.
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