Articles | Volume 25, issue 5
https://doi.org/10.5194/hess-25-2759-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-25-2759-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
3D multiple-point geostatistical simulation of joint subsurface redox and geological architectures
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Hyojin Kim
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Anders Juhl Kallesøe
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Peter B. E. Sandersen
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Troels Norvin Vilhelmsen
Department of Geoscience, Aarhus University, Aarhus, 8000, Denmark
Thomas Mejer Hansen
Department of Geoscience, Aarhus University, Aarhus, 8000, Denmark
Anders Vest Christiansen
Department of Geoscience, Aarhus University, Aarhus, 8000, Denmark
Ingelise Møller
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Birgitte Hansen
Groundwater and Quaternary Geology Mapping, Geological Survey of Denmark and Greenland, Aarhus, 8000, Denmark
Related authors
Trine Enemark, Rasmus Bødker Madsen, Torben O. Sonnenborg, Lærke Therese Andersen, Peter B. E. Sandersen, Jacob Kidmose, Ingelise Møller, Thomas Mejer Hansen, Karsten Høgh Jensen, and Anne-Sophie Høyer
Hydrol. Earth Syst. Sci., 28, 505–523, https://doi.org/10.5194/hess-28-505-2024, https://doi.org/10.5194/hess-28-505-2024, 2024
Short summary
Short summary
In this study, we demonstrate an approach to evaluate the interpretation uncertainty within a manually interpreted geological model in a groundwater model. Using qualitative estimates of uncertainties, several geological realizations are developed and implemented in groundwater models. We confirm existing evidence that if the conceptual model is well defined, interpretation uncertainties within the conceptual model have limited impact on groundwater model predictions.
Hyojin Kim, Julian Koch, Birgitte Hansen, and Rasmus Jakobsen
EGUsphere, https://doi.org/10.5194/egusphere-2024-3706, https://doi.org/10.5194/egusphere-2024-3706, 2024
Short summary
Short summary
Nitrate pollution from farming is a global issue. Denitrification, a natural process that reduces nitrate, also releases CO2, contributing to climate change. This study found that groundwater denitrification is a significant CO2 source from Danish agriculture, and it is comparable to other reported sources. These emissions have been overlooked in greenhouse gas inventories, highlighting the need to update guidelines for more accurate reporting of agricultural emissions.
Trine Enemark, Rasmus Bødker Madsen, Torben O. Sonnenborg, Lærke Therese Andersen, Peter B. E. Sandersen, Jacob Kidmose, Ingelise Møller, Thomas Mejer Hansen, Karsten Høgh Jensen, and Anne-Sophie Høyer
Hydrol. Earth Syst. Sci., 28, 505–523, https://doi.org/10.5194/hess-28-505-2024, https://doi.org/10.5194/hess-28-505-2024, 2024
Short summary
Short summary
In this study, we demonstrate an approach to evaluate the interpretation uncertainty within a manually interpreted geological model in a groundwater model. Using qualitative estimates of uncertainties, several geological realizations are developed and implemented in groundwater models. We confirm existing evidence that if the conceptual model is well defined, interpretation uncertainties within the conceptual model have limited impact on groundwater model predictions.
Hafsa Mahmood, Ty P. A. Ferré, Raphael J. M. Schneider, Simon Stisen, Rasmus R. Frederiksen, and Anders V. Christiansen
EGUsphere, https://doi.org/10.5194/egusphere-2023-1872, https://doi.org/10.5194/egusphere-2023-1872, 2023
Preprint withdrawn
Short summary
Short summary
Temporal drain flow dynamics and understanding of their underlying controlling factors are important for water resource management in tile-drained agricultural areas. This study examine whether simpler, more efficient machine learning (ML) models can provide acceptable solutions compared to traditional physics based models. We predicted drain flow time series in multiple catchments subject to a range of climatic and landscape conditions.
Ane LaBianca, Mette H. Mortensen, Peter Sandersen, Torben O. Sonnenborg, Karsten H. Jensen, and Jacob Kidmose
Hydrol. Earth Syst. Sci., 27, 1645–1666, https://doi.org/10.5194/hess-27-1645-2023, https://doi.org/10.5194/hess-27-1645-2023, 2023
Short summary
Short summary
The study explores the effect of Anthropocene geology and the computational grid size on the simulation of shallow urban groundwater. Many cities are facing challenges with high groundwater levels close to the surface, yet urban planning and development seldom consider its impact on the groundwater resource. This study illustrates that the urban subsurface infrastructure significantly affects the groundwater flow paths and the residence time of shallow urban groundwater.
Muhammad Rizwan Asif, Nikolaj Foged, Thue Bording, Jakob Juul Larsen, and Anders Vest Christiansen
Earth Syst. Sci. Data, 15, 1389–1401, https://doi.org/10.5194/essd-15-1389-2023, https://doi.org/10.5194/essd-15-1389-2023, 2023
Short summary
Short summary
To apply a deep learning (DL) algorithm to electromagnetic (EM) methods, subsurface resistivity models and/or the corresponding EM responses are often required. To date, there are no standardized EM datasets, which hinders the progress and evolution of DL methods due to data inconsistency. Therefore, we present a large-scale physics-driven model database of geologically plausible and EM-resolvable subsurface models to incorporate consistency and reliability into DL applications for EM methods.
Pradip Kumar Maurya, Frederik Ersted Christensen, Masson Andy Kass, Jesper B. Pedersen, Rasmus R. Frederiksen, Nikolaj Foged, Anders Vest Christiansen, and Esben Auken
Hydrol. Earth Syst. Sci., 26, 2813–2827, https://doi.org/10.5194/hess-26-2813-2022, https://doi.org/10.5194/hess-26-2813-2022, 2022
Short summary
Short summary
In this paper, we present an application of the electromagnetic method to image the subsurface below rivers, lakes, or any surface water body. The scanning of the subsurface is carried out by sailing an electromagnetic sensor called FloaTEM. Imaging results show a 3D distribution of different sediment types below the freshwater lakes. In the case of saline water, the system is capable of identifying the probable location of groundwater discharge into seawater.
M. Andy Kass, Esben Auken, Jakob Juul Larsen, and Anders Vest Christiansen
Geosci. Instrum. Method. Data Syst., 10, 313–323, https://doi.org/10.5194/gi-10-313-2021, https://doi.org/10.5194/gi-10-313-2021, 2021
Short summary
Short summary
We have developed a towed magnetic gradiometer system for rapid acquisition of magnetic and magnetic gradient maps. This high-resolution system is flexible and has applications to utility detection, archaeology, unexploded ordnance, or any other applications where high-resolution maps of the magnetic field or gradient are required. Processing of the data has been simplified as much as possible to facilitate rapid results and interpretations.
Alexis Neven, Pradip Kumar Maurya, Anders Vest Christiansen, and Philippe Renard
Earth Syst. Sci. Data, 13, 2743–2752, https://doi.org/10.5194/essd-13-2743-2021, https://doi.org/10.5194/essd-13-2743-2021, 2021
Short summary
Short summary
The shallow underground is constituted of sediments that present high spatial variability. This upper layer is the most extensively used for resource exploitation (groundwater, geothermal heat, construction materials, etc.). Understanding and modeling the spatial variability of these deposits is crucial. We present a high-resolution electrical resistivity dataset that covers the upper Aare Valley in Switzerland. These data can help develop methods to characterize these geological formations.
Adrian A. S. Barfod, Troels N. Vilhelmsen, Flemming Jørgensen, Anders V. Christiansen, Anne-Sophie Høyer, Julien Straubhaar, and Ingelise Møller
Hydrol. Earth Syst. Sci., 22, 5485–5508, https://doi.org/10.5194/hess-22-5485-2018, https://doi.org/10.5194/hess-22-5485-2018, 2018
Short summary
Short summary
The focus of this study is on the uncertainty related to using multiple-point statistics (MPS) for stochastic modeling of the upper 200 m of the subsurface. The main research goal is to showcase how MPS methods can be used on real-world hydrogeophysical data and show how the uncertainty related to changing the underlying MPS setup propagates into the finalized 3-D subsurface models.
Adrian A. S. Barfod, Ingelise Møller, Anders V. Christiansen, Anne-Sophie Høyer, Júlio Hoffimann, Julien Straubhaar, and Jef Caers
Hydrol. Earth Syst. Sci., 22, 3351–3373, https://doi.org/10.5194/hess-22-3351-2018, https://doi.org/10.5194/hess-22-3351-2018, 2018
Short summary
Short summary
Three-dimensional geological models are important to securing and managing groundwater. Such models describe the geological architecture, which is used for modeling the flow of groundwater. Common geological modeling approaches result in one model, which does not quantify the architectural uncertainty of the geology.
We present a comparison of three different state-of-the-art stochastic multiple-point statistical methods for quantifying the geological uncertainty using real-world datasets.
Anne-Sophie Høyer, Giulio Vignoli, Thomas Mejer Hansen, Le Thanh Vu, Donald A. Keefer, and Flemming Jørgensen
Hydrol. Earth Syst. Sci., 21, 6069–6089, https://doi.org/10.5194/hess-21-6069-2017, https://doi.org/10.5194/hess-21-6069-2017, 2017
Short summary
Short summary
We present a novel approach for 3-D geostatistical simulations. It includes practical strategies for the development of realistic 3-D training images and for incorporating the diverse geological and geophysical inputs together with their uncertainty levels (due to measurement inaccuracies and scale mismatch). Inputs consist of well logs, seismics, and an existing 3-D geomodel. The simulation domain (45 million voxels) coincides with the Miocene unit over 2810 km2 across the Danish–German border.
Ahmad Ali Behroozmand, Pietro Teatini, Jesper Bjergsted Pedersen, Esben Auken, Omar Tosatto, and Anders Vest Christiansen
Hydrol. Earth Syst. Sci., 21, 1527–1545, https://doi.org/10.5194/hess-21-1527-2017, https://doi.org/10.5194/hess-21-1527-2017, 2017
Short summary
Short summary
Within the framework of the EU project IMPROWARE, our goal was to investigate a Mediterranean coastal aquifer in Egypt and develop scenarios for artificial aquifer remediation and recharge. The results of an extensive hydrogeophysical investigation were successfully used as an input in regional and local hydrological models to understand the hydrological evolution of the area. The research outcomes clearly highlight the effectiveness of using advanced geophysical and modeling methodologies.
Related subject area
Subject: Water Resources Management | Techniques and Approaches: Stochastic approaches
Check dam impact on sediment loads: example of the Guerbe River in the Swiss Alps – a catchment scale experiment
Controls on flood managed aquifer recharge through a heterogeneous vadose zone: hydrologic modeling at a site characterized with surface geophysics
Spatiotemporal responses of the crop water footprint and its associated benchmarks under different irrigation regimes to climate change scenarios in China
Bridging the scale gap: obtaining high-resolution stochastic simulations of gridded daily precipitation in a future climate
News media coverage of conflict and cooperation dynamics of water events in the Lancang–Mekong River basin
Analysis of the effects of biases in ensemble streamflow prediction (ESP) forecasts on electricity production in hydropower reservoir management
Using paleoclimate reconstructions to analyse hydrological epochs associated with Pacific decadal variability
Bias correction of simulated historical daily streamflow at ungauged locations by using independently estimated flow duration curves
Season-ahead forecasting of water storage and irrigation requirements – an application to the southwest monsoon in India
Hydrostratigraphic modeling using multiple-point statistics and airborne transient electromagnetic methods
A risk assessment methodology to evaluate the risk failure of managed aquifer recharge in the Mediterranean Basin
A coupled stochastic rainfall–evapotranspiration model for hydrological impact analysis
Real-time updating of the flood frequency distribution through data assimilation
Estimating drought risk across Europe from reported drought impacts, drought indices, and vulnerability factors
The cost of ending groundwater overdraft on the North China Plain
Definition of efficient scarcity-based water pricing policies through stochastic programming
A dual-inexact fuzzy stochastic model for water resources management and non-point source pollution mitigation under multiple uncertainties
Just two moments! A cautionary note against use of high-order moments in multifractal models in hydrology
Determining spatial variability of dry spells: a Markov-based method, applied to the Makanya catchment, Tanzania
Streamflow droughts in the Iberian Peninsula between 1945 and 2005: spatial and temporal patterns
Estimating the flood frequency distribution at seasonal and annual time scales
Domestic wells have high probability of pumping septic tank leachate
Record extension for short-gauged water quality parameters using a newly proposed robust version of the Line of Organic Correlation technique
Calibration of the modified Bartlett-Lewis model using global optimization techniques and alternative objective functions
Trend analysis of extreme precipitation in the Northwestern Highlands of Ethiopia with a case study of Debre Markos
Ariel Henrique do Prado, David Mair, Philippos Garefalakis, Chantal Schmidt, Alexander Whittaker, Sebastien Castelltort, and Fritz Schlunegger
Hydrol. Earth Syst. Sci., 28, 1173–1190, https://doi.org/10.5194/hess-28-1173-2024, https://doi.org/10.5194/hess-28-1173-2024, 2024
Short summary
Short summary
Engineering structures known as check dams are built with the intention of managing streams. The effectiveness of such structures can be expressed by quantifying the reduction of the sediment flux after their implementation. In this contribution, we estimate and compare the volumes of sediment transported in a mountain stream for engineered and non-engineered conditions. We found that without check dams the mean sediment flux would be ca. 10 times larger in comparison with the current situation.
Zach Perzan, Gordon Osterman, and Kate Maher
Hydrol. Earth Syst. Sci., 27, 969–990, https://doi.org/10.5194/hess-27-969-2023, https://doi.org/10.5194/hess-27-969-2023, 2023
Short summary
Short summary
In this study, we simulate flood managed aquifer recharge – the process of intentionally inundating land to replenish depleted aquifers – at a site imaged with geophysical equipment. Results show that layers of clay and silt trap recharge water above the water table, where it is inaccessible to both plants and groundwater wells. Sensitivity analyses also identify the main sources of uncertainty when simulating managed aquifer recharge, helping to improve future forecasts of site performance.
Zhiwei Yue, Xiangxiang Ji, La Zhuo, Wei Wang, Zhibin Li, and Pute Wu
Hydrol. Earth Syst. Sci., 26, 4637–4656, https://doi.org/10.5194/hess-26-4637-2022, https://doi.org/10.5194/hess-26-4637-2022, 2022
Short summary
Short summary
Facing the increasing challenge of sustainable crop supply with limited water resources due to climate change, large-scale responses in the water footprint (WF) and WF benchmarks of crop production remain unclear. Here, we quantify the effects of future climate change scenarios on the WF and WF benchmarks of maize and wheat in time and space in China. Differences in crop growth between rain-fed and irrigated farms and among furrow-, sprinkler-, and micro-irrigated regimes are identified.
Qifen Yuan, Thordis L. Thorarinsdottir, Stein Beldring, Wai Kwok Wong, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 25, 5259–5275, https://doi.org/10.5194/hess-25-5259-2021, https://doi.org/10.5194/hess-25-5259-2021, 2021
Short summary
Short summary
Localized impacts of changing precipitation patterns on surface hydrology are often assessed at a high spatial resolution. Here we introduce a stochastic method that efficiently generates gridded daily precipitation in a future climate. The method works out a stochastic model that can describe a high-resolution data product in a reference period and form a realistic precipitation generator under a projected future climate. A case study of nine catchments in Norway shows that it works well.
Jing Wei, Yongping Wei, Fuqiang Tian, Natalie Nott, Claire de Wit, Liying Guo, and You Lu
Hydrol. Earth Syst. Sci., 25, 1603–1615, https://doi.org/10.5194/hess-25-1603-2021, https://doi.org/10.5194/hess-25-1603-2021, 2021
Richard Arsenault and Pascal Côté
Hydrol. Earth Syst. Sci., 23, 2735–2750, https://doi.org/10.5194/hess-23-2735-2019, https://doi.org/10.5194/hess-23-2735-2019, 2019
Short summary
Short summary
Hydrological forecasting allows hydropower system operators to make the most efficient use of the available water as possible. Accordingly, hydrologists have been aiming at improving the quality of these forecasts. This work looks at the impacts of improving systematic errors in a forecasting scheme on the hydropower generation using a few decision-aiding tools that are used operationally by hydropower utilities. We find that the impacts differ according to the hydropower system characteristics.
Lanying Zhang, George Kuczera, Anthony S. Kiem, and Garry Willgoose
Hydrol. Earth Syst. Sci., 22, 6399–6414, https://doi.org/10.5194/hess-22-6399-2018, https://doi.org/10.5194/hess-22-6399-2018, 2018
Short summary
Short summary
Analyses of run lengths of Pacific decadal variability (PDV) suggest that there is no significant difference between run lengths in positive and negative phases of PDV and that it is more likely than not that the PDV run length has been non-stationary in the past millennium. This raises concerns about whether variability seen in the instrumental record (the last ~100 years), or even in the shorter 300–400 year paleoclimate reconstructions, is representative of the full range of variability.
William H. Farmer, Thomas M. Over, and Julie E. Kiang
Hydrol. Earth Syst. Sci., 22, 5741–5758, https://doi.org/10.5194/hess-22-5741-2018, https://doi.org/10.5194/hess-22-5741-2018, 2018
Short summary
Short summary
This work observes that the result of streamflow simulation is often biased, especially with regards to extreme events, and proposes a novel technique to reduce this bias. By using parallel simulations of relative streamflow timing (sequencing) and the distribution of streamflow (magnitude), severe biases can be mitigated. Reducing this bias allows for improved utility of streamflow simulation for water resources management.
Arun Ravindranath, Naresh Devineni, Upmanu Lall, and Paulina Concha Larrauri
Hydrol. Earth Syst. Sci., 22, 5125–5141, https://doi.org/10.5194/hess-22-5125-2018, https://doi.org/10.5194/hess-22-5125-2018, 2018
Short summary
Short summary
We present a framework for forecasting water storage requirements in the agricultural sector and an application of this framework to water risk assessment in India. Our framework involves defining a crop-specific water stress index and applying a particular statistical forecasting model to predict seasonal water stress for the crop of interest. The application focused on forecasting crop water stress for potatoes grown during the monsoon season in the Satara district of Maharashtra.
Adrian A. S. Barfod, Ingelise Møller, Anders V. Christiansen, Anne-Sophie Høyer, Júlio Hoffimann, Julien Straubhaar, and Jef Caers
Hydrol. Earth Syst. Sci., 22, 3351–3373, https://doi.org/10.5194/hess-22-3351-2018, https://doi.org/10.5194/hess-22-3351-2018, 2018
Short summary
Short summary
Three-dimensional geological models are important to securing and managing groundwater. Such models describe the geological architecture, which is used for modeling the flow of groundwater. Common geological modeling approaches result in one model, which does not quantify the architectural uncertainty of the geology.
We present a comparison of three different state-of-the-art stochastic multiple-point statistical methods for quantifying the geological uncertainty using real-world datasets.
Paula Rodríguez-Escales, Arnau Canelles, Xavier Sanchez-Vila, Albert Folch, Daniel Kurtzman, Rudy Rossetto, Enrique Fernández-Escalante, João-Paulo Lobo-Ferreira, Manuel Sapiano, Jon San-Sebastián, and Christoph Schüth
Hydrol. Earth Syst. Sci., 22, 3213–3227, https://doi.org/10.5194/hess-22-3213-2018, https://doi.org/10.5194/hess-22-3213-2018, 2018
Short summary
Short summary
In this work, we have developed a methodology to evaluate the failure risk of managed aquifer recharge, and we have applied it to six different facilities located in the Mediterranean Basin. The methodology was based on the development of a probabilistic risk assessment based on fault trees. We evaluated both technical and non-technical issues, the latter being more responsible for failure risk.
Minh Tu Pham, Hilde Vernieuwe, Bernard De Baets, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci., 22, 1263–1283, https://doi.org/10.5194/hess-22-1263-2018, https://doi.org/10.5194/hess-22-1263-2018, 2018
Short summary
Short summary
In this paper, stochastically generated rainfall and corresponding evapotranspiration time series, generated by means of vine copulas, are used to force a simple conceptual hydrological model. The results obtained are comparable to the modelled discharge using observed forcing data. Yet, uncertainties in the modelled discharge increase with an increasing number of stochastically generated time series used. Still, the developed model has great potential for hydrological impact analysis.
Cristina Aguilar, Alberto Montanari, and María-José Polo
Hydrol. Earth Syst. Sci., 21, 3687–3700, https://doi.org/10.5194/hess-21-3687-2017, https://doi.org/10.5194/hess-21-3687-2017, 2017
Short summary
Short summary
Assuming that floods are driven by both short- (meteorological forcing) and long-term perturbations (higher-than-usual moisture), we propose a technique for updating a season in advance the flood frequency distribution. Its application in the Po and Danube rivers helped to reduce the uncertainty in the estimation of floods and thus constitutes a promising tool for real-time management of flood risk mitigation. This study is the result of the stay of the first author at the University of Bologna.
Veit Blauhut, Kerstin Stahl, James Howard Stagge, Lena M. Tallaksen, Lucia De Stefano, and Jürgen Vogt
Hydrol. Earth Syst. Sci., 20, 2779–2800, https://doi.org/10.5194/hess-20-2779-2016, https://doi.org/10.5194/hess-20-2779-2016, 2016
Claus Davidsen, Suxia Liu, Xingguo Mo, Dan Rosbjerg, and Peter Bauer-Gottwein
Hydrol. Earth Syst. Sci., 20, 771–785, https://doi.org/10.5194/hess-20-771-2016, https://doi.org/10.5194/hess-20-771-2016, 2016
Short summary
Short summary
In northern China, rivers run dry and groundwater tables drop, causing economic losses for all water use sectors. We present a groundwater-surface water allocation decision support tool for cost-effective long-term recovery of an overpumped aquifer. The tool is demonstrated for a part of the North China Plain and can support the implementation of the recent China No. 1 Document in a rational and economically efficient way.
H. Macian-Sorribes, M. Pulido-Velazquez, and A. Tilmant
Hydrol. Earth Syst. Sci., 19, 3925–3935, https://doi.org/10.5194/hess-19-3925-2015, https://doi.org/10.5194/hess-19-3925-2015, 2015
Short summary
Short summary
One of the most promising alternatives to improve the efficiency in water usage is the implementation of scarcity-based pricing policies based on the opportunity cost of water at the basin scale. Time series of the marginal value of water at selected locations (reservoirs) are obtained using a stochastic hydro-economic model and then post-processed to define step water pricing policies.
C. Dong, Q. Tan, G.-H. Huang, and Y.-P. Cai
Hydrol. Earth Syst. Sci., 18, 1793–1803, https://doi.org/10.5194/hess-18-1793-2014, https://doi.org/10.5194/hess-18-1793-2014, 2014
F. Lombardo, E. Volpi, D. Koutsoyiannis, and S. M. Papalexiou
Hydrol. Earth Syst. Sci., 18, 243–255, https://doi.org/10.5194/hess-18-243-2014, https://doi.org/10.5194/hess-18-243-2014, 2014
B. M. C. Fischer, M. L. Mul, and H. H. G. Savenije
Hydrol. Earth Syst. Sci., 17, 2161–2170, https://doi.org/10.5194/hess-17-2161-2013, https://doi.org/10.5194/hess-17-2161-2013, 2013
J. Lorenzo-Lacruz, E. Morán-Tejeda, S. M. Vicente-Serrano, and J. I. López-Moreno
Hydrol. Earth Syst. Sci., 17, 119–134, https://doi.org/10.5194/hess-17-119-2013, https://doi.org/10.5194/hess-17-119-2013, 2013
E. Baratti, A. Montanari, A. Castellarin, J. L. Salinas, A. Viglione, and A. Bezzi
Hydrol. Earth Syst. Sci., 16, 4651–4660, https://doi.org/10.5194/hess-16-4651-2012, https://doi.org/10.5194/hess-16-4651-2012, 2012
J. E. Bremer and T. Harter
Hydrol. Earth Syst. Sci., 16, 2453–2467, https://doi.org/10.5194/hess-16-2453-2012, https://doi.org/10.5194/hess-16-2453-2012, 2012
B. Khalil and J. Adamowski
Hydrol. Earth Syst. Sci., 16, 2253–2266, https://doi.org/10.5194/hess-16-2253-2012, https://doi.org/10.5194/hess-16-2253-2012, 2012
W. J. Vanhaute, S. Vandenberghe, K. Scheerlinck, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 16, 873–891, https://doi.org/10.5194/hess-16-873-2012, https://doi.org/10.5194/hess-16-873-2012, 2012
H. Shang, J. Yan, M. Gebremichael, and S. M. Ayalew
Hydrol. Earth Syst. Sci., 15, 1937–1944, https://doi.org/10.5194/hess-15-1937-2011, https://doi.org/10.5194/hess-15-1937-2011, 2011
Cited articles
Abbaspour, K. C., Yang, J., Maximov, I., Siber, R., Bogner, K., Mieleitner, J., Zobrist, J., and Srinivasan, R.: Modelling hydrology and water quality in the pre-alpine/alpine Thur watershed using SWAT, J. Hydrol., 333, 413–430, https://doi.org/10.1016/j.jhydrol.2006.09.014, 2007.
Alcalde, J., Bond, C. E., Johnson, G., Butler, R. W. H., Cooper, M. A., and Ellis, J. F.: The importance of structural model availability on seismic interpretation, J. Struct. Geol., 97, 161–171, https://doi.org/10.1016/j.jsg.2017.03.003, 2017.
Auken, E., Christiansen, A. V., Westergaard, J. H., Kirkegaard, C., Foged, N., and Viezzoli, A.: An integrated processing scheme for high-resolution airborne electromagnetic surveys, the SkyTEM system, Explor. Geophys., 40, 184–192, https://doi.org/10.1071/EG08128, 2009.
Auken, E., Christiansen, A. V., Kirkegaard, C., Fiandaca, G., Schamper, C., Behroozmand, A. A., Binley, A., Nielsen, E., Effersø, F., Christensen, N. B., Sørensen, K. I., Foged, N., and Vignoli, G.: An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data, Explor. Geophys., 46, 223–235, https://doi.org/10.1071/EG13097, 2015.
Auken, E., Foged, N., Larsen, J. J., Lassen, K. V. T., Maurya, P. K., Dath, S. M., and Eiskjær, T. T.: tTEM – A towed transient electromagnetic system for detailed 3D imaging of the top 70 m of the subsurface, Geophysics, 84, E13–E22, https://doi.org/10.1190/geo2018-0355.1, 2019.
Barfod, A. S., Møller, I., and Christiansen, A. V.: Compiling a national resistivity atlas of Denmark based on airborne and ground-based transient electromagnetic data, J. Appl. Geophys., 134, 199–209, https://doi.org/10.1016/j.jappgeo.2016.09.017, 2016.
Barfod, A. A. S., Vilhelmsen, T. N., Jørgensen, F., Christiansen, A. V., Høyer, A.-S., Straubhaar, J., and Møller, I.: Contributions to uncertainty related to hydrostratigraphic modeling using multiple-point statistics, Hydrol. Earth Syst. Sci., 22, 5485–5508, https://doi.org/10.5194/hess-22-5485-2018, 2018.
Baveye, P. C., Otten, W., Kravchenko, A., Balseiro-Romero, M., Beckers, É., Chalhoub, M., Darnault, C., Eickhorst, T., Garnier, P., Hapca, S., Kiranyaz, S., Monga, O., Mueller, C. W., Nunan, N., Pot, V., Schlüter, S., Schmidt, H., and Vogel, H. J.: Emergent properties of microbial activity in heterogeneous soil microenvironments: Different research approaches are slowly converging, yet major challenges remain, Front. Microbiol., 9, 1–48, https://doi.org/10.3389/fmicb.2018.01929, 2018.
Blicher-Mathiesen, G., Holm, H., Houlborg, T., Rolighed, J., Andersen, H. E.,
Carstensen, M. V., Jensen, P. G., Wienke, J., Hansen, B., and Thorling, L.:
Landovervågningsoplande 2018, NOVANA, Aarhus Universitet, DCE – Nationalt
Center for Miljø og Energi, Videnskabelig rapport nr. 352, 241 pp., 2019 (in Danish).
Bond, C. E.: Uncertainty in structural interpretation: Lessons to be learnt, J. Struct. Geol., 74, 185–200, https://doi.org/10.1016/j.jsg.2015.03.003, 2015.
Buried Valleys: available at: https://buriedvalleys.dk/, last access: 25 May 2020.
Chilès, J.-P. and Delfiner, P.: Geostatistics, 2nd edn., John Wiley and Sons, Inc., Hoboken, NJ, USA, 2012.
Christiansen, A. V., Foged, N., and Auken, E.: A concept for calculating accumulated clay thickness from borehole lithological logs and resistivity models for nitrate vulnerability assessment, J. Appl. Geophys., 108, 69–77, https://doi.org/10.1016/j.jappgeo.2014.06.010, 2014.
Claerbout, J. F. and Abma, R.: Earth soundings analysis: Processing versus inversion. Vol. 6. London: Blackwell Scientific Publications, 1992.
Close, M. E., Abraham, P., Humphries, B., Lilburne, L., Cuthill, T., and Wilson, S. R.: Predicting groundwater redox status on a regional scale using linear discriminant analysis, J. Contam. Hydrol., 191, 19–32, https://doi.org/10.1016/j.jconhyd.2016.04.006, 2016.
Curtis, A.: The science of subjectivity, Geology, 40, 95–96, https://doi.org/10.1130/focus012012.1, 2012.
Dalgaard, T., Hansen, B., Hasler, B., Hertel, O., Hutchings, N. J., Jacobsen, B. H., Stoumann Jensen, L., Kronvang, B., Olesen, J. E., Schjørring, J. K., Sillebak Kristensen, I., Graversgaard, M., Termansen, M., and Vejre, H.: Policies for agricultural nitrogen management – trends, challenges and prospects for improved efficiency in Denmark, Environ. Res. Lett., 9, 115002, https://doi.org/10.1088/1748-9326/9/11/115002, 2014.
Danielsen, J. E., Auken, E., Jørgensen, F., Søndergaard, V. H., and Sørensen, K. I.: The application of the transient electromagnetic method in hydrogeophysical surveys, J. Appl. Geophys., 53, 181–198, https://doi.org/10.1016/j.jappgeo.2003.08.004, 2003.
de Vries, L. M., Carrera, J., Falivene, O., Gratacós, O., and Slooten, L. J.: Application of multiple point geostatistics to non-stationary images, Math. Geosci., 41, 29–42, https://doi.org/10.1007/s11004-008-9188-y, 2009.
Ephesia consult: DeeSse software, available at: https://www.ephesia-consult.com/portfolio/deesse/, last access: 18 May 2021.
Ernstsen, V. and von Platen, F.: GEUS Rapport 2014/20: Opdatering af det
nationale redoxkort fra 2006, GEUS, report, Copenhagen, Denmark, 2014.
Ernstsen, V., von Platen, F., and Jakobsen, P. R.: GEUS Rapport 2008/30: Nitratreduktionsklasser for kystnære arealer (“hvide områder”) – data og metode, Supplement til GEUS rapport 2006/93, GEUS, Copenhagen, Denmark,
2008.
European Commission: Report from the Commission to the Council and the
European Parliament on the implementation of Council Directive 91/676/EEC
concerning the protection of waters against pollution caused by nitrates from
agricultural sources based on Member State reports fo,
available at:
https://eur-lex.europa.eu/legal-content/EN/TXT/PDF/?uri=CELEX:52018DC0257&from=en (last access: 15 May 2021),
2018.
Foged, N., Marker, P. A., Christansen, A. V., Bauer-Gottwein, P., Jørgensen, F., Høyer, A.-S., and Auken, E.: Large-scale 3-D modeling by integration of resistivity models and borehole data through inversion, Hydrol. Earth Syst. Sci., 18, 4349–4362, https://doi.org/10.5194/hess-18-4349-2014, 2014.
GERDA, GEUS: National geophysical database, available at: https://eng.geus.dk/products-services-facilities/data-and-maps/national-geophysical-database-gerda, last access: 18 May 2021.
Goovaerts, P., AvRuskin, G., Meliker, J., Slotnick, M., Jacquez, G., and Nriagu, J.: Geostatistical modeling of the spatial variability of arsenic in groundwater of southeast Michigan, Water Resour. Res., 41, 1–19, https://doi.org/10.1029/2004WR003705, 2005.
Gravesen, P. and Fredericia, J.: ZEUS-geodatabase system, Borearkivet,
Databeskrivelse, kodesystem og sideregistre, 1984 (in Danish).
Gravey, M. and Mariethoz, G.: QuickSampling v1.0: a robust and
simplified pixel-based multiple-point simulation approach, Geosci. Model Dev.,
13, 2611–2630, https://doi.org/10.5194/gmd-13-2611-2020, 2020.
Grenthe, I., Stumm, W., Laaksuharju, M., Nilsson, A. C., and Wikberg, P.: Redox potentials and redox reactions in deep groundwater systems, Chem. Geol., 98, 131–150, https://doi.org/10.1016/0009-2541(92)90095-M, 1992.
Groffman, P. M., Butterbach-Bahl, K., Fulweiler, R. W., Gold, A. J., Morse, J. L., Stander, E. K., Tague, C., Tonitto, C., and Vidon, P.: Challenges to incorporating spatially and temporally explicit phenomena (hotspots and hot moments) in denitrification models, Biogeochemistry, 93, 49–77, https://doi.org/10.1007/s10533-008-9277-5, 2009.
Guardiano, F. B. and Srivastava, R. M.: Multivariate Geostatistics: Beyond Bivariate Moments, in: Geostatistics Tróia '92. Quantitative Geology and Geostatistics, edited by: Soares, A., Springer, Dordrecht, 133–144, 1993.
Gulbrandsen, M. L., Cordua, K. S., Bach, T., and Hansen, T. M.: Smart Interpretation – automatic geological interpretations based on supervised statistical models, Comput. Geosci., 21, 427–440, https://doi.org/10.1007/s10596-017-9621-8, 2017.
Gunnink, J. L. and Siemon, B.: Applying airborne electromagnetics in 3D stochastic geohydrological modelling for determining groundwater protection, Near Surf. Geophys., 13, 45–60, https://doi.org/10.3997/1873-0604.2014044, 2015.
Hansen, A. L., Christensen, B. S. B., Ernstsen, V., He, X., and Refsgaard, J. C.: A concept for estimating depth of the redox interface for catchment-scale nitrate modelling in a till area in Denmark, Hydrogeol. J., 22, 1639–1655, https://doi.org/10.1007/s10040-014-1152-y, 2014.
Hansen, B., Sonnenborg, T. O., Møller, I., Bernth, J., Høyer, A.-S., Rasmussen, P., Sandersen, P. B. E., and Jørgensen, F.: Nitrate vulnerability assessment of aquifers, Environ. Earth Sci., 75, 999, https://doi.org/10.1007/s12665-016-5767-2, 2016.
Hansen, B., Thorling, L., Schullehner, J., Termansen, M., and Dalgaard, T.: Groundwater nitrate response to sustainable nitrogen management, Sci. Rep.-UK, 7, 8566, 1–12, https://doi.org/10.1038/s41598-017-07147-2, 2017.
Hansen, B., Thorling, L., Kim, H., and Blicher-Mathiesen, G.: Long-term nitrate response in shallow groundwater to agricultural N regulations in Denmark, J. Environ. Manage., 240, 66–74, https://doi.org/10.1016/j.jenvman.2019.03.075, 2019.
Hansen, B., Voutchkova, D. D., Sandersen, P. B. E., Kallesøe, A., Thorling, L., Møller, I., Madsen, R. B., Jakobsen, R., Aamand, J., Maurya, P., and Kim, H.: Assessment of complex subsurface redox structures for sustainable development of agriculture and the environment, Environ. Res. Lett., 16, 025007, https://doi.org/10.1088/1748-9326/abda6d, 2021.
Hansen, M. and Pjetursson, B.: Free, online Danish shallow geological data, Geol. Surv. Den. Greenl., 23, 53–56, https://doi.org/10.34194/geusb.v23.4842, 2011.
Hansen, T. M.: Entropy and Information Content of Geostatistical Models, Math. Geosci., 53, 163–184, https://doi.org/10.1007/s11004-020-09876-z, 2021.
Hansen, T. M., Cordua, K. S., Jacobsen, B. H., and Mosegaard, K.: Accounting for imperfect forward modeling in geophysical inverse problems – Exemplified for crosshole tomography, Geophysics, 79, H1–H21, https://doi.org/10.1190/GEO2013-0215.1, 2014.
Hansen, T. M., Vu, L. T., and Bach, T.: MPSLIB: A C class for sequential simulation of multiple-point statistical models, SoftwareX, 5, 127–133, https://doi.org/10.1016/j.softx.2016.07.001, 2016.
Hansen, T. M., Vu, L. T., Mosegaard, K., and Cordua, K. S.: Multiple point statistical simulation using uncertain (soft) conditional data, Comput. Geosci., 114, 1–10, https://doi.org/10.1016/j.cageo.2018.01.017, 2018.
He, X., Koch, J., Sonnenborg, T. O., Jørgensen, F., Schamper, C., and Christian Refsgaard, J.: Transition probability-based stochastic geological modeling using airborne geophysical data and borehole data, Water Resour. Res., 50, 3147–3169, https://doi.org/10.1002/2013WR014593, 2014.
He, X., Højberg, A. L., Jørgensen, F., and Refsgaard, J. C.: Assessing hydrological model predictive uncertainty using stochastically generated geological models, Hydrol. Process., 29, 4293–4311, https://doi.org/10.1002/hyp.10488, 2015.
He, X. L., Sonnenborg, T. O., Jørgensen, F., and Jensen, K. H.: The effect of training image and secondary data integration with multiple-point geostatistics in groundwater modelling, Hydrol. Earth Syst. Sci., 18, 2943–2954, https://doi.org/10.5194/hess-18-2943-2014, 2014.
Hoffimann, J., Scheidt, C., Barfod, A. S., and Caers, J.: Stochastic simulation by image quilting of process-based geological models, Comput. Geosci., 106, 18–32, https://doi.org/10.1016/j.cageo.2017.05.012, 2017.
Høyer, A.-S., Jørgensen, F., Sandersen, P. B. E., Viezzoli, A., and Møller, I.: 3D geological modelling of a complex buried-valley network delineated from borehole and AEM data, J. Appl. Geophys., 122, 94–102, https://doi.org/10.1016/j.jappgeo.2015.09.004, 2015.
Høyer, A.-S., Vignoli, G., Hansen, T. M., Vu, L. T., Keefer, D. A., and Jørgensen, F.: Multiple-point statistical simulation for hydrogeological models: 3-D training image development and conditioning strategies, Hydrol. Earth Syst. Sci., 21, 6069–6089, https://doi.org/10.5194/hess-21-6069-2017, 2017.
GEUS: GEUS Maps of Denmark, available at:
https://eng.geus.dk/products-services-facilities/data-and-maps/maps-of-denmark/,
last access: 25 May 2020.
Jakobsen, P. R. and Tougaard, L.: Danmarks digitale jordartskort 1:25 000
Version 5.0, GEUS, Copenhagen, Denmark,
2020 (in Danish).
Jessell, M. W., Aillères, L., and de Kemp, E. A.: Towards an integrated inversion of geoscientific data: What price of geology?, Tectonophysics, 490, 294–306, https://doi.org/10.1016/j.tecto.2010.05.020, 2010.
Jørgensen, F. and Sandersen, P. B. E.: Buried and open tunnel valleys in Denmark-erosion beneath multiple ice sheets, Quaternary. Sci. Rev., 25, 1339–1363, https://doi.org/10.1016/j.quascirev.2005.11.006, 2006.
Jørgensen, F., Møller, R. R., Nebel, L., Jensen, N. P., Christiansen, A. V., and Sandersen, P. B. E.: A method for cognitive 3D geological voxel modelling of AEM data, B. Eng. Geol. Environ., 72, 421–432, https://doi.org/10.1007/s10064-013-0487-2, 2013.
Jørgensen, F., Høyer, A.-S., Sandersen, P. B. E., He, X., and Foged, N.: Combining 3D geological modelling techniques to address variations in geology, data type and density – An example from Southern Denmark, Comput. Geosci., 81, 53–63, https://doi.org/10.1016/j.cageo.2015.04.010, 2015.
Journel, A. and Zhang, T.: The necessity of a multiple-point prior model, Math. Geol., 38, 591–610, https://doi.org/10.1007/s11004-006-9031-2, 2006.
Journel, A. G. and Huijbregts, C. J.: Mining Geostatistics, 1st edn., Academic Press, Inc., London, 1978.
Juda, P., Renard, P., and Straubhaar, J.: A Framework for the Cross-Validation of Categorical Geostatistical Simulations, Earth Space Sci., 7, 1–17, https://doi.org/10.1029/2020EA001152, 2020.
Jupiter, GEUS: National geophysical database, available at: https://eng.geus.dk/products-services-facilities/data-and-maps/national-well-database-jupiter, last access: 18 May 2021.
Kallis, G. and Butler, D.: The EU water framework directive: Measures and implications, Water Policy, 3, 125–142, https://doi.org/10.1016/S1366-7017(01)00007-1, 2001.
Keaton, J. R. and Degraff, J. V.: Surface observation and geologic mapping,
Spec. Rep. – Natl. Res. Counc. Transp. Res. Board, 247 (January 1996), National academy Press, Washington D.C., USA, 178–230, 1996.
Keefer, D. A.: A Framework and Methods for Characterizing Uncertainty in
Geologic Maps, edited by: Thorleifson, L. H.,
Berg, R. C., and Russel, H., Three
Dimens. Geol. Mapp. Groundw. Appl. Minnesota Geol. Surv. Open File Rep., Minnesota Geological Survey, Minnesota, USA,
07–4, 2007.
Kim, H., Høyer, A.-S., Jakobsen, R., Thorling, L., Aamand, J., Maurya, P. K., Christiansen, A. V., and Hansen, B.: 3D characterization of the subsurface redox architecture in complex geological settings, Sci. Total Environ., 693, https://doi.org/10.1016/j.scitotenv.2019.133583, 2019.
Koch, J., Stisen, S., Refsgaard, J. C., Ernstsen, V., Jakobsen, P. R., and Højberg, A. L.: Modeling Depth of the Redox Interface at High Resolution at National Scale Using Random Forest and Residual Gaussian Simulation, Water Resour. Res., 55, 1451–1469, https://doi.org/10.1029/2018WR023939, 2019.
Lee, J., Jang, C., Wang, S., Liang, C., and Liu, C.: Delineation of spatial redox zones using discriminant analysis and geochemical modelling in arsenic-affected alluvial aquifers, Hydrol. Process., 22, 3029–3041, https://doi.org/10.1002/hyp.6884, 2008.
Lin, Y. P.: Simulating Spatial Distributions, Variability and Uncertainty of Soil Arsenic by Geostatistical Simulations in Geographic Information Systems, Open Environ. Sci., 2, 26–33, https://doi.org/10.2174/1876325100802010026, 2008.
Lindsay, M. D., Aillères, L., Jessell, M. W., de Kemp, E. A., and Betts, P. G.: Locating and quantifying geological uncertainty in three-dimensional models: Analysis of the Gippsland Basin, southeastern Australia, Tectonophysics, 546–547, 10–27, https://doi.org/10.1016/j.tecto.2012.04.007, 2012.
Loke, M. H., Chambers, J. E., Rucker, D. F., Kuras, O., and Wilkinson, P. B.: Recent developments in the direct-current geoelectrical imaging method, J. Appl. Geophys., 95, 135–156, https://doi.org/10.1016/j.jappgeo.2013.02.017, 2013.
Madsen, R. B: Replication Data for: Running MPS simulations of geology and redox in LOOP3 catchment area, Denmark, GEUS Dataverse, V1, https://doi.org/10.22008/FK2/XBQURH, 2021.
Madsen, R. B. and Hansen, T. M.: Estimation and accounting for the modeling error in probabilistic linearized AVO inversion, Geophysics, 83, N15–N30, https://doi.org/10.1190/geo2017-0404.1, 2018.
Madsen, R. B., Nørmark, E., and Hansen, T. M.: Accounting for Processing
Errors in AVO/AVA Data, in: 80th EAGE Conference and Exhibition Proceedings,
EAGE, 11-14 June, Copenhagen, Denmark, 5, 2018.
Madsen, R. B., Møller, I., and Hansen, T. M.: Choosing between Gaussian and MPS simulation: the role of data information content – a case study using uncertain interpretation data points, Stoch. Env. Res. Risk A., 2, https://doi.org/10.1007/s00477-020-01954-2, 2021.
Malinverno, A. and Briggs, V. A.: Expanded uncertainty quantification in inverse problems: Hierarchical Bayes and empirical Bayes, Geophysics, 69, 1005–1016, https://doi.org/10.1190/1.1778243, 2004.
Maps of Denmark, GEUS: Maps of Denmark, available at: https://eng.geus.dk/products-services-facilities/data-and-maps/maps-of-denmark/pricelist, last access: 18 May 2021).
Mariethoz, G. and Caers, J.: Multiple-point geostatistics: Stochastic modeling
with training images, 1st edn., John Wiley and Sons, Chichester, UK, 2015.
Mariethoz, G., Renard, P., and Straubhaar, J.: The direct sampling method to perform multiple-point geostatistical simulations, Water Resour. Res., 46, 1–14, https://doi.org/10.1029/2008WR007621, 2010.
Mariethoz, G., Straubhaar, J., Renard, P., Chugunova, T., and Biver, P.: Constraining distance-based multipoint simulations to proportions and trends, Environ. Model. Softw., 72, 184–197, https://doi.org/10.1016/j.envsoft.2015.07.007, 2015.
Møller, I., Søndergaard, V. H., and Jørgensen, F.: Geophysical methods and data administration in Danish groundwater mapping, Geol. Surv. Den. Greenl., 17, 41–44, https://doi.org/10.34194/geusb.v17.5010, 2009.
Nolan, B. T., Fienen, M. N., and Lorenz, D. L.: A statistical learning framework for groundwater nitrate models of the Central Valley, California, USA, J. Hydrol., 531, 902–911, https://doi.org/10.1016/j.jhydrol.2015.10.025, 2015.
Pyrcz, M. J., Boisvert, J. B., and Deutsch, C. V.: A library of training images for fluvial and deepwater reservoirs and associated code, Comput. Geosci., 34, 542–560, https://doi.org/10.1016/j.cageo.2007.05.015, 2008.
Randle, C. H., Bond, C. E., Lark, R. M., and Monaghan, A. A.: Uncertainty in geological interpretations: Effectiveness of expert elicitations, Geosphere, 15, 108–118, https://doi.org/10.1130/GES01586.1, 2019.
Ransom, K. M., Nolan, B. T., A. Traum, J., Faunt, C. C., Bell, A. M., Gronberg, J. A. M., Wheeler, D. C., Z. Rosecrans, C., Jurgens, B., Schwarz, G. E., Belitz, K., M. Eberts, S., Kourakos, G., and Harter, T.: A hybrid machine learning model to predict and visualize nitrate concentration throughout the Central Valley aquifer, California, USA, Sci. Total Environ., 601–602, 1160–1172, https://doi.org/10.1016/j.scitotenv.2017.05.192, 2017.
Rosecrans, C. Z., Nolan, B. T., and Gronberg, J. A. M.: Prediction and visualization of redox conditions in the groundwater of Central Valley, California, J. Hydrol., 546, 341–356, https://doi.org/10.1016/j.jhydrol.2017.01.014, 2017.
Sandersen, P. B. E.: Uncertainty assessment of geological models – A
qualitative approach, in: Calibration and Reliability in Groundwater
Modelling: Credibility of Modelling, edited by: Refsgaard, J. C., Kovar, K.,
Haarder, E., and Nygaard, E., IAHS Redbook ModelCARE 2007, Copenhagen, Denmark, 345–349,
2008.
Sandersen, P. B. E. and Jørgensen, F.: Kortlægning af begravede dale i
Danmark [Mapping of Buried Valleys in Denmark], Opdatering 2015 (Update 2015),
Vol. 1 and 2, GEUS Special Publication, Copenhagen, Denmark,
2016 (in Danish).
Sandersen, P. B. E., and Jørgensen, F.: Buried tunnel valleys in Denmark and their impact on the geological architecture of the subsurface, Geol. Surv. Den. Greenl., 38, 13–16, https://doi.org/10.34194/geusb.v38.4388, 2017.
Sandersen, P. B. E., Jørgensen, F., Larsen, N. K., Westergaard, J. H., and Auken, E.: Rapid tunnel-valley formation beneath the receding Late Weichselian ice sheet in Vendsyssel, Denmark, Boreas, 38, 834–851, https://doi.org/10.1111/j.1502-3885.2009.00105.x, 2009.
Schaaf, A. and Bond, C. E.: Quantification of uncertainty in 3-D seismic interpretation: implications for deterministic and stochastic geomodeling and machine learning, Solid Earth, 10, 1049–1061, https://doi.org/10.5194/se-10-1049-2019, 2019.
Schamper, C., Jørgensen, F., Auken, E., and Effersø, F.: Assessment of near-surface mapping capabilities by airborne transient electromagnetic data – An extensive comparison to conventional borehole data, Geophysics, 79, B187–B199, https://doi.org/10.1190/geo2013-0256.1, 2014.
Schullehner, J. and Hansen, B.: Nitrate exposure from drinking water in Denmark over the last 35 years, Environ. Res. Lett., 9, 095001, https://doi.org/10.1088/1748-9326/9/9/095001, 2014.
Schullehner, J., Hansen, B., Thygesen, M., Pedersen, C. B., and Sigsgaard, T.: Nitrate in drinking water and colorectal cancer risk: A nationwide population-based cohort study, Int. J. Cancer, 143, 73–79, https://doi.org/10.1002/ijc.31306, 2018.
SDFE: The Danish Map Supply, available at: https://kortforsyningen.dk/indhold/english, last access: 18 May 2021.
Sexstone, A. J., Revsbech, N. P., Parkin, T. B., and Tiedje, J. M.: Direct Measurement of Oxygen Profiles and Denitrification Rates in Soil Aggregates, Soil Sci. Soc. Am. J., 49, 645–651, https://doi.org/10.2136/sssaj1985.03615995004900030024x, 1985.
Shannon, C. E.: A Mathematical Theory of Communication, Bell Syst. Tech. J., 27, 623–656, https://doi.org/10.1002/j.1538-7305.1948.tb00917.x, 1948.
Sørensen, K. I. and Auken, E.: SkyTEM – a new high-resolution helicopter transient electromagnetic system, Explor. Geophys., 35, 194–202, https://doi.org/10.1071/EG04194, 2004.
Straubhaar, J.: DeeSse User's Guide, The Centre for Hydrogeology and Geothermics (CHYN), University of Neuchatel, Neuchâtel, Switzerland, 2019.
Straubhaar, J., Renard, P., Mariethoz, G., Froidevaux, R., and Besson, O.: An improved parallel multiple-point algorithm using a list approach, Math. Geosci., 43, 305–328, https://doi.org/10.1007/s11004-011-9328-7, 2011.
Strebelle, S.: Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics, Math. Geol., 34, 1–21, https://doi.org/10.1109/CEC.2011.5949612, 2002.
Strebelle, S.: Multiple-Point Geostatistics: from Theory to Practice, in:
Expanded Abstract Collection from Ninth International Geostatistics Congress, 11–15 June, Oslo, Norway,
1–65, 2012.
Styrelsen for Dataforsyning og Effektivisering: Danmarks Højdemodel,
DHM/Terræn. Data version 2.0 – Januar 2015, available at:
https://www.kortforsyningen.dk/sites/default/files/dk_dhm_terraen_v2_1_aug_2016.pdf (last access: 15 May 2021),
2016 (in Danish).
Tahmasebi, P.: Multiple Point Statistics: A Review, in: Handbook of Mathematical Geosciences, edited by: Daya Sagar, B. S., Cheng, Q., and Agterberg, F., Springer International Publishing, Cham, 613–643, 2018.
Tahmasebi, P., Hezarkhani, A., and Sahimi, M.: Multiple-point geostatistical modeling based on the cross-correlation functions, Comput. Geosci., 16, 779–797, https://doi.org/10.1007/s10596-012-9287-1, 2012.
Tarantola, A.: Inverse problem theory and Methods for Model Parameter Estimation, 1st edn., SIAM, Philadelphia, USA, 2005.
Temkin, A., Evans, S., Manidis, T., Campbell, C., and Naidenko, O. V.: Exposure-based assessment and economic valuation of adverse birth outcomes and cancer risk due to nitrate in United States drinking water, Environ. Res., 176, 1–14, https://doi.org/10.1016/j.envres.2019.04.009, 2019.
Tesoriero, A. J., Terziotti, S., and Abrams, D. B.: Predicting Redox Conditions in Groundwater at a Regional Scale, Environ. Sci. Technol., 49, 9657–9664, https://doi.org/10.1021/acs.est.5b01869, 2015.
Thomsen, R., Søndergaard, V. H., and Sørensen, K. I.: Hydrogeological mapping as a basis for establishing site-specific groundwater protection zones in Denmark, Hydrogeol. J., 12, 550–562, https://doi.org/10.1007/s10040-004-0345-1, 2004.
Vest Christiansen, A. and Auken, E.: A global measure for depth of investigation, Geophysics, 77, WB171–WB177, https://doi.org/10.1190/geo2011-0393.1, 2012.
Viezzoli, A., Christiansen, A. V., Auken, E., and Sørensen, K. I.: Quasi-3D modeling of airborne TEM data by spatially constrained inversion, Geophysics, 73, F105–F113, https://doi.org/10.1190/1.2895521, 2008.
Viezzoli, A., Jørgensen, F., and Sørensen, C.: Flawed processing of airborne em data affecting hydrogeological interpretation, Groundwater, 51, 191–202, https://doi.org/10.1111/j.1745-6584.2012.00958.x, 2013.
Vignoli, G., Fiandaca, G., Christiansen, A. V., Kirkegaard, C., and Auken, E.: Sharp spatially constrained inversion with applications to transient electromagnetic data, Geophys. Prospect., 63, 243–255, https://doi.org/10.1111/1365-2478.12185, 2015.
Vilhelmsen, T. N., Auken, E., Christiansen, A. V., Barfod, A. S., Marker, P. A., and Bauer-Gottwein, P.: Combining Clustering Methods With MPS to Estimate Structural Uncertainty for Hydrological Models, Front. Earth Sci., 7, 1–15, https://doi.org/10.3389/feart.2019.00181, 2019.
Wellmann, J. F. and Caumon, G.: 3-D Structural geological models: Concepts, methods, and uncertainties, 1st edn., Elsevier Inc., London, UK,
2018.
Wellmann, J. F., De La Varga, M., Murdie, R. E., Gessner, K., and Jessell, M. W.: Uncertainty estimation for a geological model of the Sandstone greenstone belt, Western Australia – insights from integrated geological and geophysical inversion in a Bayesian inference framework, Geol. Soc. Spec. Publ., 453, 41–56, https://doi.org/10.1144/SP453.12, 2018.
Wilkin, R. T., Barnes, H. L., and Brantley, S. L.: The size distribution of framboidal pyrite in modern sediments, Geochim. Cosmochim. Ac., 60, 3897–3912, 1996.
Wilson, C. G., Bond, C. E., and Shipley, T. F.: How can geologic decision-making under uncertainty be improved?, Solid Earth, 10, 1469–1488, https://doi.org/10.5194/se-10-1469-2019, 2019.
Wilson, S. R., Close, M. E., and Abraham, P.: Applying linear discriminant analysis to predict groundwater redox conditions conducive to denitrification, J. Hydrol., 556, 611–624, https://doi.org/10.1016/j.jhydrol.2017.11.045, 2018.
Wycisk, P., Hubert, T., Gossel, W., and Neumann, C.: High-resolution 3D spatial modelling of complex geological structures for an environmental risk assessment of abundant mining and industrial megasites, Comput. Geosci., 35, 165–182, https://doi.org/10.1016/j.cageo.2007.09.001, 2009.
Yan, S., Liu, Y., Liu, C., Shi, L., Shang, J., Shan, H., Zachara, J., Fredrickson, J., Kennedy, D., Resch, C. T., Thompson, C., and Fansler, S.: Nitrate bioreduction in redox-variable low permeability sediments, Sci. Total Environ., 539, 185–195, https://doi.org/10.1016/j.scitotenv.2015.08.122, 2016.
Short summary
The protection of subsurface aquifers from contamination is an ongoing environmental challenge. Some areas of the underground have a natural capacity for reducing contaminants. In this research these areas are mapped in 3D along with information about, e.g., sand and clay, which indicates whether contaminated water from the surface will travel through these areas. This mapping technique will be fundamental for more reliable risk assessment in water quality protection.
The protection of subsurface aquifers from contamination is an ongoing environmental challenge....