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A Block Iterative Finite Element Model for Nonlinear Leaky Aquifer Systems
Author(s) -
Gambolati Giuseppe,
Teatini Pietro
Publication year - 1996
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/95wr02996
Subject(s) - nonlinear system , finite element method , aquifer , block (permutation group theory) , iterative method , convergence (economics) , mathematics , groundwater flow , mathematical optimization , geology , geotechnical engineering , groundwater , geometry , engineering , structural engineering , physics , quantum mechanics , economic growth , economics
A new quasi three‐dimensional finite element model of groundwater flow is developed for highly compressible multiaquifer systems where aquitard permeability and elastic storage are dependent on hydraulic drawdown. The model is solved by a block iterative strategy, which is naturally suggested by the geological structure of the porous medium and can be shown to be mathematically equivalent to a block Gauss‐Seidel procedure. As such it can be generalized into a block overrelaxation procedure and greatly accelerated by the use of the optimum overrelaxation factor. Results for both linear and nonlinear multiaquifer systems emphasize the excellent computational performance of the model and indicate that convergence in leaky systems can be improved up to as much as one order of magnitude.