New approximation for free surface flow of groundwater: Capillary correction

An existing capillarity correction for free surface groundwater flow as modelled by the Boussinesq equation is re-investigated. Existing solutions, based on the shallow flow expansion, have considered only the zeroth-order approximation. Here, a second-order capillarity correction to tide-induced watertable fluctuations in a coastal aquifer adjacent to a sloping beach is derived. A new definition of the capillarity correction is proposed for small capillary fringes, and a simplified solution is derived. Comparisons of the two models show that the simplified model can be used in most cases. The significant effects of higher-order capillarity corrections on tidal fluctuations in a sloping beach are also demonstrated.


Published in:
Advances in Water Resources, 28, 10, 1032-1039
Year:
2005
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Note: The status of this file is: Involved Laboratories Only


 Record created 2005-12-09, last modified 2018-03-17

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