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Analytical solutions for groundwater flow with arbitrary dimensionality and a finite well radius in fractured rock
Ist Teil von
Water resources research, 2010-03, Vol.46 (3), p.W03531-n/a
Ort / Verlag
Blackwell Publishing Ltd
Erscheinungsjahr
2010
Quelle
Wiley Online Library - AutoHoldings Journals
Beschreibungen/Notizen
The generalized radial flow model describes mathematically nonsteady flow of arbitrary dimensionality from a source in a porous medium. Closed solutions of the corresponding equation have hitherto been considered as impractical except for one simple special case. Two closed solutions of the generalized radial flow equation, corresponding to given head in or given discharge from the source have been derived. The noninteger dimensionality is the only parameter in the problem. The solutions become not valid if the time tends to infinity, such as for 1‐D and 2‐D flows. The influence of a possible noninteger dimensionality has attracted interest in connection with the flow of groundwater in fractured rock, particularly around a repository for nuclear waste or in connection with grouting. In contrast to numerical solutions, the closed solutions offer simple means for evaluation of field tests.