CGRG Bibliography of Canadian Geomorphology
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Author : Craig, J.R.
Date : 2006.
Title : Topography-driven flow in a stratified sloping aquifer: A general semi-analytical solution.
Publication : Eos Transactions. AGU,
Issue : 87(52), Fall Meeting Supplement,
Page(s) : Abstract H41B-0410.
Abstract
A general closed-form solution for steady-state cross-sectional flow in a stratified aquifer is developed, and may be viewed as a robust generalization of the topography-driven solutions presented by Toth (1963), Freeze and Witherspoon (1966), and Selim (1975) to the M-layer case where the topographic surface may intersect an arbitrary number of sloping anisotropic layers. Both continuity conditions at the layer interfaces and no-flow conditions along the bottom and sides of the aquifer system are met exactly. The head-specified condition at the known topographic surface is met in an approximate (but precise) manner using a least-squares formulation at a set of control points derived from digital elevation models. The highly accurate solution may be used to test numerical solvers and rapidly determine subsurface flow patterns in topography-driven subsurface flow systems. The models are quickly generated from a single DEM and a set of borehole data along a cross- section. Similar approaches are currently being developed for two-dimensional flow in a syncline aquifer and fully three-dimensional systems.
Bibliography of Canadian Geomorphology