Groundwater Fluctuations in Sloping Aquifers Induced by Time-Varying Replenishment and Seepage from a Uniformly Rising Stream

This paper analyses the classical problem of transient surface–groundwater interaction in a stream–aquifer system under rather realistic conditions. The downward sloping unconfined aquifer is in contact with a constant water level at one end, and a fully penetrating stream at the other end whose wat...

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Bibliographic Details
Published in:Transport in porous media 2012-09, Vol.94 (3), p.817-836
Main Author: Bansal, Rajeev K.
Format: Article
Language:English
Subjects:
Aquifers
Boussinesq equations
Civil Engineering
Classical and Continuum Physics
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Exact sciences and technology
Exact solutions
Flow velocity
Geotechnical Engineering & Applied Earth Sciences
Groundwater
Hydrogeology
Hydrology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Laplace transforms
Linear equations
Linearization
Nonlinear equations
Pollution, environment geology
Replenishment
Seepage
Variation
Water levels
Water table
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Summary:This paper analyses the classical problem of transient surface–groundwater interaction in a stream–aquifer system under rather realistic conditions. The downward sloping unconfined aquifer is in contact with a constant water level at one end, and a fully penetrating stream at the other end whose water level is rising at a uniform speed. Furthermore, the aquifer is replenished by a vertical time-varying recharge. Closed form analytical expressions for hydraulic head and flow rate in the aquifer are obtained by solving the linearized Boussinesq equation using Laplace transform method. Effects of aquifer parameters on transient water table and flow rate are illustrated with a numerical example. To assess the efficiency of the linearization method, analytical solutions are compared with numerical solutions of the corresponding non-linear equation.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-012-0026-9