Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/12598
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gravanis, Elias | - |
dc.contributor.author | Akylas, Evangelos | - |
dc.date.accessioned | 2018-08-07T06:51:18Z | - |
dc.date.available | 2018-08-07T06:51:18Z | - |
dc.date.issued | 2017-10 | - |
dc.identifier.citation | Water Resources Research, 2017, vol. 53, no. 10, pp. 8310-8326 | en_US |
dc.identifier.issn | 19447973 | - |
dc.description.abstract | We derive the early-time solution of the Boussinesq equation for the horizontal unconfined aquifer in the buildup phase under constant recharge and zero inflow. The solution is expressed as a power series of a suitable similarity variable, which is constructed so that to satisfy the boundary conditions at both ends of the aquifer, that is, it is a polynomial approximation of the exact solution. The series turns out to be asymptotic and it is regularized by resummation techniques that are used to define divergent series. The outflow rate in this regime is linear in time, and the (dimensionless) coefficient is calculated to eight significant figures. The local error of the series is quantified by its deviation from satisfying the self-similar Boussinesq equation at every point. The local error turns out to be everywhere positive, hence, so is the integrated error, which in turn quantifies the degree of convergence of the series to the exact solution. | en_US |
dc.format | en_US | |
dc.language.iso | en | en_US |
dc.relation.ispartof | Water Resources Research | en_US |
dc.rights | © American Geophysical Union | en_US |
dc.subject | Analytical solution | en_US |
dc.subject | Asymptotic series | en_US |
dc.subject | Buildup phase | en_US |
dc.subject | Power series | en_US |
dc.subject | Unconfined horizontal aquifer | en_US |
dc.title | Early-time solution of the horizontal unconfined aquifer in the buildup phase | en_US |
dc.type | Article | en_US |
dc.collaboration | Cyprus University of Technology | en_US |
dc.subject.category | Mathematics | en_US |
dc.journals | Subscription | en_US |
dc.country | Cyprus | en_US |
dc.subject.field | Natural Sciences | en_US |
dc.publication | Peer Reviewed | en_US |
dc.identifier.doi | 10.1002/2016WR019567 | en_US |
dc.relation.issue | 10 | en_US |
dc.relation.volume | 53 | en_US |
cut.common.academicyear | 2017-2018 | en_US |
dc.identifier.spage | 8310 | en_US |
dc.identifier.epage | 8326 | en_US |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
crisitem.journal.journalissn | 1944-7973 | - |
crisitem.journal.publisher | Wiley | - |
crisitem.author.dept | Department of Civil Engineering and Geomatics | - |
crisitem.author.dept | Department of Civil Engineering and Geomatics | - |
crisitem.author.faculty | Faculty of Engineering and Technology | - |
crisitem.author.faculty | Faculty of Engineering and Technology | - |
crisitem.author.orcid | 0000-0002-5331-6661 | - |
crisitem.author.orcid | 0000-0002-2731-657X | - |
crisitem.author.parentorg | Faculty of Engineering and Technology | - |
crisitem.author.parentorg | Faculty of Engineering and Technology | - |
Appears in Collections: | Άρθρα/Articles |
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