A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone

It is well known that land surface topography governs surface–groundwater interactions under some circumstances and can be separated in a Fourier-series spectrum that provides an exact analytical solution of both the surface and the underlying three-dimensional groundwater flows. We evaluate the per...

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Bibliographic Details
Published in:Journal of water and climate change 2021-08, Vol.12 (5), p.1788-1801
Main Authors: He, Bowen, Guan, Qun
Format: Article
Language:English
Subjects:
Accuracy
bedform-driven hyporheic exchange flows
Bedforms
Biogeochemistry
Creeks & streams
Exact solutions
fourier fitting process
Fourier series
Groundwater
Groundwater flow
Hydrology
Hyporheic zone
Hyporheic zones
Mathematical models
Ocean surface topography
Partial differential equations
River beds
Rivers
Sedimentary structures
Sediments
Spectral analysis
Spectrum analysis
Statistical analysis
Surface water
Surface-groundwater relations
surface–groundwater interactions
Three dimensional flow
Topography
Water quality
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Summary:It is well known that land surface topography governs surface–groundwater interactions under some circumstances and can be separated in a Fourier-series spectrum that provides an exact analytical solution of both the surface and the underlying three-dimensional groundwater flows. We evaluate the performance of the current Fourier fitting process by testing on different scenarios of synthetic surfaces. We identify a technical gap and propose a new version of the approach which incorporates the spectral analysis method to help identify the statistically significant frequencies of the surface to guide the refinement and mesh. Our results show that spectral analysis is the method that can help improve the accuracy of representing the surface, thus further improving the accuracy of predicting the bedform-driven hyporheic exchange flows.
ISSN:2040-2244
2408-9354
DOI:10.2166/wcc.2020.162