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Can the water in two communicating wells in an unconfined aquifer oscillate?
KTH, School of Architecture and the Built Environment (ABE), Sustainable development, Environmental science and Engineering, Land and Water Resources Engineering.
2015 (English)In: Zeitschrift für Angewandte Mathematik und Physik, ISSN 0044-2275, E-ISSN 1420-9039Article in journal (Refereed) Published
Abstract [en]

The water levels in two wells in a confined rigid aquifer with impervious bottom can exhibit damped oscillations according to a linear 1D oscillator. The oscillations can be under-damped, critical or over-damped. The present analysis shows that the water levels in two wells in an unconfined rigid aquifer with infinite lateral extent is not characterized by the classical equation of a 1D linear oscillator. Instead the motion of the water levels in the wells is characterized by a nonlinear Duffing hardening spring equation. According to Bendixson’s theorem its solution cannot oscillate.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2015.
Keyword [en]
Aquifers, Coupled equations, Limit cycles, Oscillations, Wells, Hydrogeology, Nonlinear equations, Water levels, Classical equation, Coupled equation, Damped oscillations, Duffing, Limit-cycle, Linear oscillator, Unconfined aquifers
National Category
Earth and Related Environmental Sciences
URN: urn:nbn:se:kth:diva-176238DOI: 10.1007/s00033-015-0544-8ISI: 000365746800023ScopusID: 2-s2.0-84948570258OAI: diva2:871514

QC 20151116

Available from: 2015-11-16 Created: 2015-11-02 Last updated: 2016-01-08Bibliographically approved

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Rehbinder, Göran
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