Youngs, E. G. and Rushton, K. R.
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|DOI (Digital Object Identifier) Link:||https://doi.org/10.1016/j.jhydrol.2009.08.034|
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Water-table heights due to steady surface accretion in drained two-layered soil regions overlying an inverted V -shaped impermeable bed are obtained using both the Dupuit-Forchheimer approximate analysis with flow assumed parallel to the bed and also from numerical solutions of Laplace's equation for the head distribution. For illustration, water-table profiles obtained by the two procedures are compared for surface accretion draining to ditches in a typical two-layered ballast foundation for a railway track where a very permeable ballast material overlies a less permeable sub-grade on top of an inverted V-shaped impermeable bed that slopes away both sides from a central line to drainage ditches. These results are found to be in good agreement except very near the drainage ditches where the Laplace numerical solution takes into consideration a surface of seepage that is ignored in the Dupuit-Forchheimer analysis. The Dupuit-Forchheimer analysis is also in good agreement with results of a laboratory model experiment. It is concluded that the approximate Dupuit-Forchheimer analysis can be used with confidence in these situations. It is used to investigate the effect on the water-table elevation caused by the reduction of hydraulic conductivity of the porous materials due to clogging.
|Item Type:||Journal Article|
|Copyright Holders:||2009 Elsevier B.V.|
|Keywords:||drainage; layered soils; sloping bed; Dupuit-Forchheimer analysis; Laplace numerical solutions; railway ballast beds|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Environment, Earth and Ecosystem Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Colin Smith|
|Date Deposited:||07 Sep 2009 15:41|
|Last Modified:||07 Oct 2016 05:36|
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