An iterative series solution approach for solving the free-boundary condition in groundwater flow systems

Wong, Sanders, Craig, James R., and Read, W. Wayne (2010) An iterative series solution approach for solving the free-boundary condition in groundwater flow systems. In: Proceedings of the XVIII International Conference on Water Resources, pp. 1-8. From: CMWR 2010 XVIII International Conference on Computational Methods in Water Resources, 21-24 June 2010, Barcelona, Spain.

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Abstract

In this paper, a two-dimensional analytic series solution for groundwater flow with a free water table condition is derived and demonstrated on a two-layer unconfined aquifer with complex (i.e., natural) stratigraphy. The vertical side and bottom boundaries of the model domain are impermeable, and the water table is a free-boundary condition governed by both Dirichlet and Neumann conditions. Unlike previous investigations, the problem is complicated by the possible intersection of the water table with interfaces between different materials. This challenge can be overcome by intelligently revising the analytic series solution approach previously developed by the authors. The series coefficients are calculated through a least-squares method which minimizes errors. Tests cases are used to demonstrate the effects of both system geometry and lower aquifer conductivity upon the shape of the water table surface.

Item ID: 9043
Item Type: Conference Item (Refereed Research Paper - E1)
Keywords: multi-layer aquifers, analytical model, series solutions, free-boundary condition
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Date Deposited: 09 May 2011 04:22
FoR Codes: 01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations @ 60%
09 ENGINEERING > 0905 Civil Engineering > 090509 Water Resources Engineering @ 40%
SEO Codes: 96 ENVIRONMENT > 9609 Land and Water Management > 960910 Sparseland, Permanent Grassland and Arid Zone Land and Water Management @ 50%
96 ENVIRONMENT > 9611 Physical and Chemical Conditions of Water > 961103 Physical and Chemical Conditions of Water in Fresh, Ground and Surface Water Environments (excl. Urban and @ 50%
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