the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Field-scale modelling reveals dynamic groundwater flow and transport patterns in a high-energy subterranean estuary
Abstract. Subterranean estuaries (STEs) are biogeochemical reactors modifying the chemistry of salt- and freshwater as they flow through the subsurface sediments. Boundary conditions such as tides, waves, beach morphology, seasonal meteoric groundwater recharge and storm events control end member mixing and residence time distributions within STEs. These in turn affect biogeochemical reactions and thus elemental fluxes discharging to the ocean via submarine groundwater discharge. Especially at high-energy beaches exposed to high tidal ranges and high wave energy, boundary conditions are very dynamic and likely imprint on groundwater flow and reactive transport within the STEs. A quantitative understanding of mixing processes and residence time distributions is necessary in order to adequately describe biogeochemical processes and can be achieved with the help of numerical modelling. Yet, transient field-scale modelling approaches calibrated to comprehensive observational data sets are still lacking, in particular for real-world high-energy STEs. In the present study, for the first time a density-dependent groundwater flow and transport model was developed and calibrated for a high-energy beach. The north beach of the barrier island Spiekeroog, northern Germany, thereby served as an example field site exposed to high-energy characteristic boundary conditions. The model was calibrated to a 1.5-year extensive dataset of groundwater heads, salinities, temperatures and 3H/He groundwater ages at various cross-shore locations along the beach at depths down to 24 m below ground surface. The calibrated model is able to replicate the principal behaviour of the highly transient system and enabled the identification of temporal variability hotspots. The dynamics in salinity are most intense at the in- and exfiltration locations of the tide-induced recirculating seawater. The groundwater age variability was largest seawards of the low tide mark as well as below the deep recirculating seawater cell at around 20–30 m depth near the dunes, where very old freshwater from the islands’ freshwater lens mixes with young brackish water from the upper beach. Temperature variations were seasonal and confined to the upper 5–10 m below the beach. Overall, the model provided important insights into the dynamics of the flow and transport processes.
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RC1: 'Comment on egusphere-2025-3132', Alicia Wilson, 05 Sep 2025
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This paper presents a very nicely executed groundwater flow model from a site with a remarkable set of field observations. This is an impressive model of an impressive field site, and I really enjoyed reading the paper. I made some notes in the pdf, but they are nothing more than minor word changes. Instead, my suggestions are ways to improve the focus of the paper, which should help improve its impact. This comes down to three suggestions:
1. Improve the focus of the introduction. As written, the justification of the work is pretty much that no one has ever made a realistic model of such a well-characterized field site. In the authors’ defense, it really is a remarkable model, and different people will take different things from it. As a coastal hydrogeologist, I am delighted to see such a detailed description of the model set-up, and I am looking forward to having my graduate students comb through the methods to make sure they understand them. As indicated more clearly in the abstract, there is a lot for biogeochemists in the mixing and variability at the fringes of the USP; for everyone, there is clear visualization of the flow paths that support observed temperatures, salinity and age dates; and the model provides a firm foundation for future modeling efforts that will include reactive transport. It needs to be published. So from some point of view “here is our model” is not a terrible justification for the paper. But still, it would be better (more citable, easier to get through review) if the research questions were clearer in the introduction.
To me, the obvious questions that this paper either answers or can answer are (1) where are the most active and transient zones of mixing surrounding the USP; (2) where and on what time scales should we sample in beach systems (possibly with added justification by posing this as an iterative, coupled investigation, where the initial observations were needed to create the model, and now the model (and its truly cool movie) can guide the location and timing of future field observations – with extra points for posing these locations in a way that is transferable to other sites, e.g. MLLW, MHHW, etc); (3) how much do major modifications of beach morphology change flow and mixing below the beach (the 2022 beach shortening event) and (4) how do the idealized (and typically steady-state) models that permeate the literature compare to a real field site (exactly how “bad” are they)?
2. Having just suggested the beach shortening event as a possible focus of the paper, it would be helpful to illustrate the changes that surrounded that event in a more focused way. As it is, the shortening event comes up a lot, but it is hard to see it in the figures, and it is dispersed among different sections. It is nicely visible in the movie, but I wonder if some kind of summary figure could be developed, with a focused discussion of the event all in one place. Part of this may also be that I thought I saw some interesting things presented as part of the calibration (e.g. illustrating the ability of the model to reproduce transients), when some of the findings could actually be interesting results in addition to calibration targets. (Perhaps sub-headings within the results section would help focus readers’ attention on the most salient points?)
3. Some of this may be intended for a later paper, but it would be very helpful to pull in the SGD crowd with some fluxes. The model is the perfect way to reconstruct volumetric fluxes through different parts of the model (the USP, the FDT, the total variation in fresh groundwater discharge from the dunes). This would actually be a great way to illustrate the potential importance of the 2022 beach shortening, where line graphs could show the width of the beach and the changes in the various fluxes over time. Perhaps with the addition of some kind of average age of water discharging from different flow systems (the USP, FDT), or the average area of each flow system (admittedly harder to automate than fluxes or ages)? Presenting information that is hard to collect in the field (fluxes), expensive to analyze (age dates), or that happened before extensive monitoring began (beach shortening) is a fantastic justification for creating a model. Again, some of this might be for the next paper, but all of it would be interesting.
In summary, I think this work is interesting for many reasons, and I hope that an improved focus will help a broader range of readers appreciate its contributions.
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RC2: 'Comment on egusphere-2025-3132', Anonymous Referee #2, 12 Sep 2025
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The comment was uploaded in the form of a supplement: https://egusphere.copernicus.org/preprints/2025/egusphere-2025-3132/egusphere-2025-3132-RC2-supplement.pdf
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