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Editor's Highlight
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GEOPHYSICAL RESEARCH LETTERS,
VOL. 33,
L07402,
doi:10.1029/2006GL025747,
2006
Exact three-dimensional spectral solution to surface-groundwater interactions with arbitrary surface topography
Anders Wörman
Department of Biometry and Engineering, Swedish University of Agricultural Sciences, Uppsala, Sweden
Aaron I. Packman
Department of Department of Civil and Environmental Engineering, Northwestern University, Evanston, Illinois, USA
Lars Marklund
Department of Biometry and Engineering, Swedish University of Agricultural Sciences, Uppsala, Sweden
Judson W. Harvey
U.S. Geological Survey, Reston, Virginia, USA
Susa H. Stone
Department of Department of Civil and Environmental Engineering, Northwestern University, Evanston, Illinois, USA
Abstract
It has been long known that land surface topography governs both groundwater flow patterns at the regional-to-continental
scale and on smaller scales such as in the hyporheic zone of streams. Here we show that the surface topography can be separated
in a Fourier-series spectrum that provides an exact solution of the underlying three-dimensional groundwater flows. The new
spectral solution offers a practical tool for fast calculation of subsurface flows in different hydrological applications
and provides a theoretical platform for advancing conceptual understanding of the effect of landscape topography on subsurface
flows. We also show how the spectrum of surface topography influences the residence time distribution for subsurface flows.
The study indicates that the subsurface head variation decays exponentially with depth faster than it would with equivalent
two-dimensional features, resulting in a shallower flow interaction.
Received 19
January
2006;
accepted 1
March
2006;
published 7
April
2006.
Index Terms: 1622 Global Change: Earth system modeling (1225); 1655 Global Change: Water cycles (1836); 1804 Hydrology: Catchment; 1839 Hydrology: Hydrologic scaling; 1860 Hydrology: Streamflow.
Read Full Article (file size: 1407957 bytes) Cited by
Citation: Wörman, A., A. I. Packman, L. Marklund, J. W. Harvey, and S. H. Stone
(2006),
Exact three-dimensional spectral solution to surface-groundwater interactions with arbitrary surface topography,
Geophys. Res. Lett.,
33,
L07402,
doi:10.1029/2006GL025747.
Copyright 2006 by the American Geophysical Union.
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