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https://hdl.handle.net/20.500.14279/12598
Τίτλος: | Early-time solution of the horizontal unconfined aquifer in the buildup phase | Συγγραφείς: | Gravanis, Elias Akylas, Evangelos |
Major Field of Science: | Natural Sciences | Field Category: | Mathematics | Λέξεις-κλειδιά: | Analytical solution;Asymptotic series;Buildup phase;Power series;Unconfined horizontal aquifer | Ημερομηνία Έκδοσης: | Οκτ-2017 | Πηγή: | Water Resources Research, 2017, vol. 53, no. 10, pp. 8310-8326 | Volume: | 53 | Issue: | 10 | Start page: | 8310 | End page: | 8326 | Περιοδικό: | Water Resources Research | Περίληψη: | 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. | ISSN: | 19447973 | DOI: | 10.1002/2016WR019567 | Rights: | © American Geophysical Union | Type: | Article | Affiliation: | Cyprus University of Technology | Publication Type: | Peer Reviewed |
Εμφανίζεται στις συλλογές: | Άρθρα/Articles |
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