Explicit algebraic influence coefficients : two-dimensional aquifer model

Explicit algebraic expressions of influence coefficients developed for 1-D semiconfined aquifer to a 2-D case are presented. It is found that the considered two-dimensional flow region is divided into finite number of interconnected compartments centered on a finite difference grid node. The procedu...

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Bibliographic Details
Published inHydrological sciences journal Vol. 53; no. 2; pp. 409 - 420
Main Authors SAFFI, Mohamed, CHEDDADI, Abdelkhalek
Format Journal Article
LanguageEnglish
Published Wallingford IAHS Press 01.04.2008
Subjects
Earth sciences
Earth, ocean, space
Exact sciences and technology
Hydrogeology
Hydrology. Hydrogeology
models
hydraulics
aquifers
one-dimensional models
mathematical models
ground water
two-dimensional models
boundary conditions
Green function
flow
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Summary:Explicit algebraic expressions of influence coefficients developed for 1-D semiconfined aquifer to a 2-D case are presented. It is found that the considered two-dimensional flow region is divided into finite number of interconnected compartments centered on a finite difference grid node. The procedure followed transforms the original 2-D problem into a series of uncoupled 1-D sub-problems formulated in terms of some generalized hydraulic head, for which they are also solved. The compartmental hydraulic head is recovered from the generalized one by an appropriate linear transformation. The derived formula for the hydraulic head is used to make influence coefficients explicit versus the system internal characteristics.
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ISSN:0262-6667
2150-3435
DOI:10.1623/hysj.53.2.409