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Correction of Discretization Errors Simulated at Supply Wells
Author(s) -
MacMillan Gordon J.,
Schumacher Jens
Publication year - 2014
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/gwat.12254
Subject(s) - discretization , hydrogeology , finite element method , computer science , nonlinear system , hydraulic head , finite difference , node (physics) , mathematics , finite difference method , mathematical optimization , geology , engineering , geotechnical engineering , mathematical analysis , structural engineering , physics , quantum mechanics
Many hydrogeology problems require predictions of hydraulic heads in a supply well. In most cases, the regional hydraulic response to groundwater withdrawal is best approximated using a numerical model; however, simulated hydraulic heads at supply wells are subject to errors associated with model discretization and well loss. An approach for correcting the simulated head at a pumping node is described here. The approach corrects for errors associated with model discretization and can incorporate the user's knowledge of well loss. The approach is model independent, can be applied to finite difference or finite element models, and allows the numerical model to remain somewhat coarsely discretized and therefore numerically efficient. Because the correction is implemented external to the numerical model, one important benefit of this approach is that a response matrix, reduced model approach can be supported even when nonlinear well loss is considered.