The future of analytical solution methods for groundwater flow and transport simulation

Craig, James R., and Read, W. Wayne (2010) The future of analytical solution methods for groundwater flow and transport simulation. 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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The authors here posit that a renaissance of analytical and hybrid analytical numerical solutions may be forthcoming. Despite the small number of researchers developing analytical solution approaches, techniques are steadily becoming more and more flexible and robust. Analytical modelling techniques, including convolution, transformations, analytic elements, and series solutions, are being used to augment, complement, or replace discrete models in order to solve specific and relevant problems ranging from carbon sequestration to surface water-groundwater interaction to reactive transport modelling. The authors here first ask and answer the essential question: "what is an analytical solution?". This is followed with a presentation of multiple recent advances in analytical modelling approaches, some necessary ingredients for future success, and some reasons why we might want to see analytical and semi-analytical approaches succeed.

Item ID: 15878
Item Type: Conference Item (Research - E1)
Keywords: analytical methods, mathematical modeling, model predictions
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Date Deposited: 10 May 2011 04:19
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 > 960905 Farmland, Arable Cropland and Permanent Cropland 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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