Flow and reactive transport in porous media induced by well injection: Similarity solution |
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Authors: | VAN DUIJN C J; KNABNER PETER |
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Institution: |
Delft University of Technology, Department of Mathematics PO Box 5031, NL 2600 GA Delft, The Netherland
Erlangen University, Institute for Applied Mathematics Martensstrasse 3, D 91058 Erlangen, Germany
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Abstract: | The authors study concentration profiles of solutes undergoingequilibrium absorption in the vicinity of a water well. Forthe case of a contamination event, the limit problem of vanishingwell radius, which is of self-similar nature, is analysed indetail. Existence, uniqueness, and qualitative properties ofsolutions of the corresponding ordinary differential equationsare shown. Some numerical examples are also presented. |
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