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\begin{document}

\title{Physical interpretation of time-varying StorAge Selection functions in a
model hillslope via geophysical imaging of ages of water.}



\author[1]{Antonio Alves Meira Neto}%
\author[1]{Minseok Kim}%
\author[1]{Peter A. Troch}%
\affil[1]{University of Arizona}%


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  \date{June 16, 2024}


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\begin{abstract}
Understanding transit times (TT) and residence times (RT) distributions
of water in catchments has recently received a great deal of attention
in hydrologic research since it can inform about important processes
relevant to the quality of water delivered by streams and landscape
resilience to anthropogenic inputs. The theory of transit time
distributions (TTD) is a practical framework for understanding TT of
water in natural landscapes but, due to its lumped nature, it can only
hint at the possible internal processes taking place in the subsurface.
While allowing for the direct observation of water movement, Electrical
Resistivity Imaging (ERI) can be leveraged to better understand the
internal variability of water ages within the subsurface, thus enabling
the investigation of the physical processes controlling the
time-variability of TTD. We estimated time variable TTD through the
storage selection (SAS) framework following a traditional lumped-systems
approach, based on sampling of output tracer concentrations, as well as
through an ERI SAS approach based on spatially distributed images of
water ages. We compared the ERI-based SAS results with the output-based
estimates to discuss the viability of ERI at laboratory experiments for
understanding TTD. The ERI-derived images of the internal evolution of
water ages were able to elucidate the internal mechanisms driving the
time-variability of ages of water being discharged by the system, which
was characterized by a delayed discharge of younger water starting at
the highest storage level and continuing throughout the water table
recession.%
\end{abstract}%



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\textbf{Hosted file}

\verb`aamn_supporting_information.docx`  available at \url{https://authorea.com/users/333660/articles/606820-physical-interpretation-of-time-varying-storage-selection-functions-in-a-model-hillslope-via-geophysical-imaging-of-ages-of-water}

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