On the Coupling Between Channel Level and Surface Ground-Water Flows |
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Authors: | S N Antontsev J I Díaz |
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Institution: | (1) CMAF. Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal;(2) Dpto. de Matemática Aplicada, Universidad Complutense de Madrid. Cuidad Universitaria, 28040 Madrid, Spain |
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Abstract: | This paper is devoted to a mathematical analysis of some general models of mass transport and other coupled physical processes
developed in simultaneous flows of surface, soil and ground waters. Such models are widely used for forecasting (numerical
simulation) of a hydrological cycle for concrete territories. The mathematical models that proved a more realistic approach
are obtained by combining several mathematical models for local processes. The water-exchange models take into account the
following factors: Water flows in confined and unconfined aquifers, vertical moisture migration allowing earth surface evaporation,
open-channel flow simulated by one-dimensional hydraulic equations, transport of contamination, etc. These models may have
different levels of sophistication. We illustrate the type of mathematical singularities which may appear by considering a
simple model on the coupling of a surface flow of surface and ground waters with the flow of a line channel or river. |
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Keywords: | Mathematical models coupled processes channel and ground waters |
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