caa a22 4500 463162501 CHVBK 20180406164751.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s11242-006-9086-z doi (NATIONALLICENCE)springer-10.1007/s11242-006-9086-z Moutsopoulos Konstadinos Laboratory of Ecological Engineering and Technology, Department of Environmental Engineering, School of Engineering, Democritus University of Thrace, 67100, Xanthi, Greece aut One-dimensional unsteady inertial flow in phreatic aquifers induced by a sudden change of the boundary head [Elektronische Daten] [Konstadinos Moutsopoulos] We are examining the classical problem of unsteady flow in a phreatic semi-infinite aquifer, induced by sudden rise or drawdown of the boundary head, by taking into account the influence of the inertial effects. We demonstrate that for short times the inertial effects are dominant and the equation system describing the flow behavior can be reduced to a single ordinary differential equation. This equation is solved both numerically by the Runge-Kutta method and analytically by the Adomian's decomposition approach and an adequate polynomial-exponential approximation as well. The influence of the viscous term, occurring for longer times, is also taken into account by solving the full Forchheimer equation by a finite difference approach. It is also demonstrated that as for the Darcian flow, for the case of small fluctuations of the water table, the computation procedure can be simplified by using a linearized form of the mass balance equation. Compact analytical expressions for the computation of the water stored or extracted from an aquifer, including viscous corrections are also developed. Springer Science+Business Media, Inc., 2006 Forchheimer equation nationallicence Non-Darcian flow nationallicence Analytical solution nationallicence Adomian's decomposition method nationallicence Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 97-125 0169-3913 70:1<97 2007 70 11242 https://doi.org/10.1007/s11242-006-9086-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9086-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Moutsopoulos Konstadinos Laboratory of Ecological Engineering and Technology, Department of Environmental Engineering, School of Engineering, Democritus University of Thrace, 67100, Xanthi, Greece aut NATIONALLICENCE 773 0- Transport in Porous Media Springer Netherlands 70/1(2007-10-01), 97-125 0169-3913 70:1<97 2007 70 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer