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N. Giesen, J. Parlange, T. Steenhuis (1994)
Transient flow to open drains: Comparison of linearized solutions with and without the Dupuit assumptionWater Resources Research, 30
A. Koussis, L. Lien (1982)
Linear theory of subsurface storm flowWater Resources Research, 18
M. Harr (1962)
Groundwater and SeepageSoil Science Society of America Journal
Koussis Koussis (1980)
Comparison of Muskingum method difference schemesJ. Hydraul. Div. Am. Soc. Civ. Eng., 106
A. Koussis (1983)
Unified Theory for Flood and Pollution RoutingJournal of Hydraulic Engineering, 109
T. Chapman (1995)
Comment on “The Unit Response of Groundwater Outflow from a Hillslope” by Wilfried BrutsaertWater Resources Research, 31
W. Brutsaert (1994)
The unit response of groundwater outflow from a hillslopeWater Resources Research, 30
K. Beven (1981)
Kinematic subsurface stormflowWater Resources Research, 17
(1983)
The hydrologic evaluation of landfill performance
J. Bowen, A. Koussis, David Zimmer (1989)
Storm Drain Design: Diffusive Flood Routing for PCsJournal of Hydraulic Engineering, 115
D. Syriopoulou, A. Koussis (1991)
Two‐dimensional modeling of advection‐dominated solute transport in groundwater by the matched artificial dispersivity methodWater Resources Research, 27
A. Koussis, P. Kokitkar, A. Mehta (1990)
Modeling DO Conditions in Streams with DispersionJournal of Environmental Engineering, 116
R. Wooding (1966)
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M. Boussinesq
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On The Subject Of A Flood Propagation Computation Method (Musklngum Method)Journal of Hydraulic Research, 7
W. Brutsaert (1995)
Reply [to “Comment on “The Unit Response of Groundwater Outflow from a Hillslope” by Wilfried Brutsaert”]Water Resources Research, 31
W. Sanford, J. Parlange, T. Steenhuis (1993)
Hillslope drainage with sudden drawdown: Closed form solution and laboratory experimentsWater Resources Research, 29
A. Koussis (1992)
A linear conceptual subsurface storm flow modelWater Resources Research, 28
B. Mcenroe (1993)
Maximum Saturated Depth over Landfill LinerJournal of Environmental Engineering, 119
A. Koussis, Melio Sáenz, I. Tollis (1983)
Pollution Routing in StreamsJournal of Hydraulic Engineering, 109
A. Koussis (1980)
Comparison of Muskingum Method Difference SchemesJournal of Hydraulic Engineering, 106
Zhanzhong Pi, A. Hjelmfelt (1994)
Hybrid finite analytic solution of lateral subsurface flowWater Resources Research, 30
E. Childs (1971)
Drainage of Groundwater Resting on a Sloping BedWater Resources Research, 7
We study subsurface storm flow from a planar hill slope, a problem that is similar hydraulically to lateral flow toward drains in landfills. Our analysis is based on the linearized one‐dimensional Boussinesq equation (Dupuit‐Forchheimer approximation), which is extended to allow for leakage through the underlying barrier. This linear advection‐diffusion equation has a greater range of validity than the kinematic wave equation. Stating it in terms of the discharge, the variable of primary hydrologic interest, we integrate it numerically, using an adaptation of the Muskingum‐Cunge routing scheme. A single‐step computation of the outflow hydrograph, which combines the convenience of an analytical solution formula with acceptable accuracy, is proposed as a design tool and as a means of parameterization of drainage from hill slopes. Depth profiles are determined afterwards by a simple integration of Darcy's law. Examples of the buildup and recession phases, with and without leakage, demonstrate the application of the computational method.
Water Resources Research – Wiley
Published: Nov 1, 1998
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