Longitudinal profile of channels cut by springs
Author(s)Devauchelle, Olivier; Petroff, A. P.; Lobkovsky, Alexander E.; Rothman, Daniel H.
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We propose a simple theory for the longitudinal profile of channels incised by groundwater flow. The aquifer surrounding the stream is represented in two dimensions through Darcy's law and the Dupuit approximation. The model is based on the assumption that, everywhere in the stream, the shear stress exerted on the sediment by the flow is close to the minimal intensity required to displace a sand grain. Because of the coupling of the stream discharge with the water table elevation in the neighbourhood of the channel head, the stream elevation decreases as the distance from the stream's tip with an exponent of 2/3. Field measurements of steephead ravines in the Florida Panhandle conform well to this prediction.
DepartmentMassachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Journal of Fluid Mechanics
Cambridge University Press
Devauchelle, O. et al. “Longitudinal Profile of Channels Cut by Springs.” Journal of Fluid Mechanics 667 (2010): 38–47. © Cambridge University Press 2010
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