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Analytical solutions for groundwater flow with arbitrary dimensionality and a finite well radius in fractured rock
KTH, School of Architecture and the Built Environment (ABE), Land and Water Resources Engineering.
2010 (English)In: Water resources research, ISSN 0043-1397, E-ISSN 1944-7973, Vol. 46, W03531- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. Vol. 46, W03531- p.
National Category
Other Environmental Engineering
URN: urn:nbn:se:kth:diva-28393DOI: 10.1029/2009WR008115ISI: 000276029700002ScopusID: 2-s2.0-79952018323OAI: diva2:389319
QC 20110119Available from: 2011-01-19 Created: 2011-01-14 Last updated: 2011-01-19Bibliographically approved

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Rehbinder, Göran
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