TY - JOUR
TI - Groundwater drainage flow in a soil layer resting on an inclined leaky
bed
AU - Koussis, AD
AU - Smith, ME
AU - Akylas, E
AU - Tombrou, M
JO - Water Resources Research
PY - 1998
VL - 34
TODO - 11
SP - 2879-2887
PB - AMER GEOPHYSICAL UNION
SN - 0043-1397
TODO - 10.1029/98WR02036
TODO - null
TODO - 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.
ER -