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Mathematical Models of Groundwater Flow

Authors: Karel Kovarik;

Mathematical Models of Groundwater Flow

Abstract

Groundwater flow in the saturated zone is governed by the differential equation [Eq. (2.100)] with its boundary and initial conditions that we focused on in Chap. 2. The problem is generally three-dimensional but the most common type is a planar groundwater flow (seepage under or through a dam construction and, so on). Another example is a potential planar groundwater flow towards a system of wells. We simplify both cases neglecting the 3-D character of a flow. Numerical methods can solve even 3-D problems without software and hardware difficulties, though there are some requirements connected with the use of a 3-D model (e.g. setting the coefficients of hydraulic conductivity in a vertical and a horizontal direction in every layer of the model, a bigger precision of measurement of the inflow of water to pumping wells, knowledge of the position of every layer). It is therefore advisable to use 3-D models of groundwater flow only when you have a good geological survey to gather sufficient data. There are problems that directly require the use of a 3-D model such as greate thickness of the aquifer, partially penetrated wells and partial boundary conditions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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