Can the water in two communicating wells in an unconfined aquifer oscillate?
2015 (English)In: Zeitschrift für Angewandte Mathematik und Physik, ISSN 0044-2275, E-ISSN 1420-9039Article in journal (Refereed) Published
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.
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
Earth and Related Environmental Sciences
IdentifiersURN: urn:nbn:se:kth:diva-176238DOI: 10.1007/s00033-015-0544-8ISI: 000365746800023ScopusID: 2-s2.0-84948570258OAI: oai:DiVA.org:kth-176238DiVA: diva2:871514
QC 201511162015-11-162015-11-022016-01-08Bibliographically approved