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HESS | Articles | Volume 22, issue 3
Hydrol. Earth Syst. Sci., 22, 1911–1916, 2018
https://doi.org/10.5194/hess-22-1911-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Special issue: HESS Opinions

Hydrol. Earth Syst. Sci., 22, 1911–1916, 2018
https://doi.org/10.5194/hess-22-1911-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Opinion article 19 Mar 2018

Opinion article | 19 Mar 2018

HESS Opinions: Linking Darcy's equation to the linear reservoir

Hubert H. G. Savenije

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Cited articles

Bejan, A.: Constructal law: optimization as design evolution, J. Heat Transf., 137, 061003, https://doi.org/10.1115/1.4029850, 2015. 
Brooks, R., Barnard, R., Coulombe, R., and McDonnell, J. J.: Ecohydrologic separation of water between trees and streams in a Mediterranean climate, Nat. Geosci., 3, 100–104, https://doi.org/10.1038/NGEO722, 2010. 
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Hergarten, S., Winkler, G., and Birk, S.: Transferring the concept of minimum energy dissipation from river networks to subsurface flow patterns, Hydrol. Earth Syst. Sci., 18, 4277–4288, https://doi.org/10.5194/hess-18-4277-2014, 2014. 
Kleidon, A., Zehe, E., Ehret, U., and Scherer, U.: Thermodynamics, maximum power, and the dynamics of preferential river flow structures at the continental scale, Hydrol. Earth Syst. Sci., 17, 225–251, https://doi.org/10.5194/hess-17-225-2013, 2013.  
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This paper provides the connection between two simple equations describing groundwater flow at different scales: the Darcy equation describes groundwater flow at pore scale, the linear reservoir equation at catchment scale. The connection between the two appears to be very simple. The two parameters of the equations are proportional, depending on the porosity of the subsoil and the resistance for the groundwater to enter the surface drainage network.
This paper provides the connection between two simple equations describing groundwater flow at...
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