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Is the Groundwater Reservoir Linear? a Mathematical Analysis of Two Limiting Cases : Volume 11, Issue 1 (06/01/2014)

By De Rooij, G. H.

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Book Id: WPLBN0004012197
Format Type: PDF Article :
File Size: Pages 26
Reproduction Date: 2015

Title: Is the Groundwater Reservoir Linear? a Mathematical Analysis of Two Limiting Cases : Volume 11, Issue 1 (06/01/2014)  
Author: De Rooij, G. H.
Volume: Vol. 11, Issue 1
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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De Rooij, G. H. (2014). Is the Groundwater Reservoir Linear? a Mathematical Analysis of Two Limiting Cases : Volume 11, Issue 1 (06/01/2014). Retrieved from http://www.ebooklibrary.org/


Description
Description: Helmholtz Institute for Environmental Research – UFZ, Halle (Saale), Germany. Storage–discharge relationships of the groundwater reservoirs of several catchments in a temperate-humid climate were reported in the literature to be seemingly non-linear. Once recharge was adequately accounted for during model calibration they turned out to be linear. The question was posed if this linearity was a fundamental property of groundwater reservoirs in general. A mathematical analysis based on analytical solutions for several cases involving parallel flow in horizontal aquifers shows that this is not the case when the surface water level is close to the aquifer bottom. When the aquifer is of constant thickness, linear-reservoir behaviour arises when the forcings remain constant for a sufficiently long time. This can range from a few weeks for aquifers with a dense drainage network of streams or ditches to years or centuries for large aquifers drained by rivers many kilometers apart. The characteristic time of the groundwater reservoir depends on whether or not the aquifer is leaky and recharge is non-zero. It is concluded that groundwater reservoirs can only be linear if their thickness can be assumed independent of the hydraulic head, and if they have a dense drainage network. Even then, they behave non-linearly up to several weeks after a change in recharge. Models that conceptualize the catchment as a configuration of coupled reservoirs will normally assign the groundwater discharge surplus generated because of the initially non-linear behaviour of the groundwater to their fast-responding reservoirs, thereby exaggerating the importance of fast-responding flow routes in a catchment.

Summary
Is the groundwater reservoir linear? A mathematical analysis of two limiting cases

Excerpt
Chapman, T.: A comparison of algorithms for stream flow recession and baseflow separation, Hydrol. Process., 13, 701–714, 1999.; Birtles, A. B.: Identification and separation of major base flow components from a stream hydrograph, Water Resour. Res., 14, 791–803, 1978.; Boussinesq, J.: Recherches throretique sur l'rcoulement des nappes d'eau infiltres duns le sol et sur le drbit des sources, J. Math. Pure. Appl., 10, 5–78, 1904.; Brutsaert, W.: Hydrology. An introduction, Cambridge Univ. Press, Cambridge, UK, 605 pp., 2005.; Brutsaert, W. and Nieber, J. L.: Regionalized drought flow hydrographs from a mature glaciated plateau, Water Resour. Res., 13, 637–643, 1977.; de Rooij, G. H.: Transient flow between aquifers and surface water: analytically derived field-scale hydraulic heads and fluxes, Hydrol. Earth Syst. Sci., 16, 649–669, doi:10.5194/hess-16-649-2012, 2012.; de Rooij, G. H.: Aquifer-scale flow equations as generalized linear reservoir models for strip and circular aquifers: links between the Darcian and the aquifer scale, Water Resour. Res., doi:10.1002/2013WR014873, in press, 2013.; Fenicia, F., Savenije, H. H. G., Matgen, P., and Pfister, L.: Is the groundwater reservoir linear? Learning from data in hydrological modelling, Hydrol. Earth Syst. Sci., 10, 139–150, doi:10.5194/hess-10-139-2006, 2006.; Hilberts, A. G. J., van Loon, E. E., Troch, P. A., and Paniconi, C.: The hillslope-storage Boussinesq model for non-constant bedrock slope, J. Hydrol., 291, 160–173, doi:10.1016/j.jhydrol.2003.12.043, 2004.; Hornberger, G. M., Wiberg, P. L., Raffensperger, J. P., and Eshleman, K. N.: Elements of Physical Hydrology, Johns Hopkins Univ. Press, Baltimore, USA, 302 pp., 1998.; Moore, R. D.: Storage-outflow modelling of streamflow recessions, with application to a shallow-soil forested catchment, J. Hydrol., 198, 260–270, 1997.; Tallaksen, L. M.: A review of baseflow recession analysis, J. Hydrol., 165, 349–370, 1995.; Tetzlaff, D., Al-Rawas, G., Blöschl, G., Carey, S. K., Ying, F., Hrachowitz, M., Kirnbauer, R., Jewitt, G., Laudon, H., McGuire, K. J., Sayama, T., Soulsby, C., Zehe, E., and Wagener, T.: Process realism: flow paths and storage, calibration, in: Runoff Prediction in Ungauged Basins, Synthesis Across Processes, Places and Scales, edited by: Blöschl, G., Sivapalan, M., Wagener, T., Viglione, A., and Savenije, H., Cambridge University Press, Cambridge, UK, 53–69, 2013.; Vogel, R. M. and Kroll, C. N., Regional geohydrologic–geomorphic relationships for the estimation of low-flow statistics, Water Resour. Res., 28, 2451–2458, 1992.; Troch, P. A., Paniconi, C., and van Loon, E. E.: Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 1. Formulation and characteristic response, Water Resour. Res., 39, 1316, doi:10.1029/2002WR001728, 2003.; Werner, P. W. and Sundquist, K. J.: On the groundwater recession curve for large water-sheds, IAHS-AISH P., 33, 202–212, 1951.; Wittenberg, H.: Effects of season and man-made changes on baseflow and flow recession: case studies, Hydrol. Process., 17, 2113–2123, doi:10.1002/hyp.1324, 2003.; Wittenberg, H. and Sivapalan, M.: Watershed groundwater balance estimation using streamflow recession analysis and baseflow separation, J. Hydrol., 219, 20–33, 1999.; Zecharias, Y. B. and Brutsaert, W.: Recession characteristics of groundwater outflow and base flow from mountainous watersheds, Water Resour. Res., 24, 1651–1658, 1988.

 

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