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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Autores principales:	Bowen He, Qun Guan
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	bedform-driven hyporheic exchange flows fourier fitting process spectral analysis surface–groundwater interactions Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350
Acceso en línea:	https://doaj.org/article/ca4236a9f40047af94d862fb7703d0fb
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id	oai:doaj.org-article:ca4236a9f40047af94d862fb7703d0fb
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spelling	oai:doaj.org-article:ca4236a9f40047af94d862fb7703d0fb2021-11-05T19:01:58ZA mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone2040-22442408-935410.2166/wcc.2020.162https://doaj.org/article/ca4236a9f40047af94d862fb7703d0fb2021-08-01T00:00:00Zhttp://jwcc.iwaponline.com/content/12/5/1788https://doaj.org/toc/2040-2244https://doaj.org/toc/2408-9354It 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. HIGHLIGHTS Identify a research gap in the traditional Fourier fitting approach in the hyporheic exchange model.; Propose a new mathematical approach that incorporates spectral analysis to improve the accuracy of the Fourier fitting process.; Verify the validity of spectral analysis in the Fourier fitting process with synthetic scenarios.;Bowen HeQun GuanIWA Publishingarticlebedform-driven hyporheic exchange flowsfourier fitting processspectral analysissurface–groundwater interactionsEnvironmental technology. Sanitary engineeringTD1-1066Environmental sciencesGE1-350ENJournal of Water and Climate Change, Vol 12, Iss 5, Pp 1788-1801 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	bedform-driven hyporheic exchange flows fourier fitting process spectral analysis surface–groundwater interactions Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350
spellingShingle	bedform-driven hyporheic exchange flows fourier fitting process spectral analysis surface–groundwater interactions Environmental technology. Sanitary engineering TD1-1066 Environmental sciences GE1-350 Bowen He Qun Guan A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
description	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. HIGHLIGHTS Identify a research gap in the traditional Fourier fitting approach in the hyporheic exchange model.; Propose a new mathematical approach that incorporates spectral analysis to improve the accuracy of the Fourier fitting process.; Verify the validity of spectral analysis in the Fourier fitting process with synthetic scenarios.;
format	article
author	Bowen He Qun Guan
author_facet	Bowen He Qun Guan
author_sort	Bowen He
title	A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
title_short	A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
title_full	A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
title_fullStr	A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
title_full_unstemmed	A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
title_sort	mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/ca4236a9f40047af94d862fb7703d0fb
work_keys_str_mv	AT bowenhe amathematicalapproachtoimprovingtherepresentationofsurfacewatergroundwaterexchangeinthehyporheiczone AT qunguan amathematicalapproachtoimprovingtherepresentationofsurfacewatergroundwaterexchangeinthehyporheiczone AT bowenhe mathematicalapproachtoimprovingtherepresentationofsurfacewatergroundwaterexchangeinthehyporheiczone AT qunguan mathematicalapproachtoimprovingtherepresentationofsurfacewatergroundwaterexchangeinthehyporheiczone
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A mathematical approach to improving the representation of surface water–groundwater exchange in the hyporheic zone

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