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Bulletin of Engineering Geology and the Environment

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01-08-2012 | Discussion

Steady state groundwater seepage in sloping unconfined aquifers RP Chapuis, Bull Eng Geol Environ 70:89–99. doi:10.1007/s10064-010-0282-2

Authors: Antonis D. Koussis, Evangelos Akylas

Published in: Bulletin of Engineering Geology and the Environment | Issue 3/2012

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This Commentary has three aims: (1) to state the complete extended Boussinesq equation, from which its abridged and commonly used form derives, and the condition under which the latter represents the complete one with sufficient accuracy; (2) to draw attention: (a) to an analytical steady-state solution of the nonlinear extended equation of Boussinesq derived by Henderson and Wooding (1964) and reworked by Basha and Maalouf (2005), and (b) to McEnroe’s (1993) solution of Eq. 21 in Chapuis (2011); and (3) to discuss steady-state solutions of two linearised forms of the extended equation of Boussinesq, giving criteria under which the linear solutions approximate the nonlinear solutions well. …

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Akylas E, Koussis AD (2007) Response of sloping unconfined aquifer to stage changes in adjacent stream I. Theoretical analysis and derivation of system response functions. J Hydrol 338:85–95CrossRef

Akylas E, Koussis AD, Yannacopoulos AN (2006) Analytical solution of transient flow in a sloping soil layer with recharge. J Hydrol Sci 51(4):626–641CrossRef

Basha HA, Maalouf SF (2005) Theoretical and conceptual models of subsurface hillslope flows. Water Resour Res 41:W07018. doi:10.1029/2004WR003769 CrossRef

Beven K (1981) Kinematic subsurface stormflow. Water Resour Res 17(5):1419–1424CrossRef

Chapman TG (1980) Modeling groundwater flow over sloping beds. Water Resour Res 16(6):1114–1118

Chapman T (1995) Comment on: the unit response of groundwater outflow from a hillslope. Water Resour Res 31(9):2376–2777CrossRef

Chapman TG (2005) Recharge-induced groundwater flow over a plane sloping bed: solutions for steady and transient flow using physical and numerical models. Water Resour Res 41:W07027. doi:10.1029/2004WR003606 CrossRef

Chapuis RP (2011) Steady state groundwater seepage in sloping unconfined aquifers. Bull Eng Geol Environ 70:89–99. doi:10.1007/s10064-010-0282-2 CrossRef

Childs EC (1971) Drainage of groundwater resting on a sloping bed. Water Resour Res 7(5):1256–1263CrossRef

Henderson FM, Wooding RA (1964) Overland flow and groundwater flow from a steady rainfall of finite duration. J Geophys Res 69(8):1531–1540CrossRef

Koussis AD (1992) A linear conceptual subsurface storm flow model. Water Resour Res 28(4):1047–1052CrossRef

Koussis AD, Lien L-T (1982) Linear theory of subsurface stormflow. Water Resour Res 18(6):1738–1740CrossRef

Koussis AD, Smith ME, Akylas E, Tombrou M (1998) Groundwater drainage flow in a soil layer resting on an inclined leaky bed. Water Resour Res 34(11):2879–2887CrossRef

Koussis AD, Akylas E, Mazi K (2007) Response of sloping unconfined aquifer to stage changes in adjacent stream II. Applications. J Hydrol 338:73–84CrossRef

McEnroe BM (1993) Maximum saturated depth over landfill liner. J Env Eng 119(2):262–270CrossRef

Pauwels VRN, Verhoest NEC and De Troch FP (2002) A metahillslope model based on an analytical solution to a linearized Boussinesq equation for temporally variable recharge rates. Water Resour Res 38(12):33. doi:10.1029/2001WR000714

Verhoest NEC, Troch PA (2000) Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer. Water Resour Res 36(3):793–800CrossRef

Wooding RA (1966) Groundwater flow over a sloping impermeable layer, 2. Exact solutions by conformal mapping. J Geophys Res 7(12):2903–2910

Wooding RA, Chapman TG (1966) Groundwater flow over a sloping impermeable layer, 1. Application of the Dupuit-Forchheimer assumption. J Geophys Res 71(12):2895–2902CrossRef

Title: Steady state groundwater seepage in sloping unconfined aquifers RP Chapuis, Bull Eng Geol Environ 70:89–99. doi:10.1007/s10064-010-0282-2
Authors: Antonis D. Koussis
Evangelos Akylas
Publication date: 01-08-2012
Publisher: Springer-Verlag
Published in: Bulletin of Engineering Geology and the Environment / Issue 3/2012
Print ISSN: 1435-9529
Electronic ISSN: 1435-9537
DOI: https://doi.org/10.1007/s10064-011-0413-4

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