Articles | Volume 25, issue 4
https://doi.org/10.5194/hess-25-1689-2021
© 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-25-1689-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
06 Apr 2021
Research article |
| 06 Apr 2021
| 06 Apr 2021
Data assimilation with multiple types of observation boreholes via the ensemble Kalman filter embedded within stochastic moment equations
Chuan-An Xia
Institute of Groundwater and Earth Science, Jinan University,
Guangzhou, China
Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Milano, Milan, Italy
Xiaodong Luo
Norwegian Research Centre (NORCE), Bergen, Norway
Bill X. Hu
CORRESPONDING AUTHOR
Institute of Groundwater and Earth Science, Jinan University,
Guangzhou, China
Monica Riva
Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Milano, Milan, Italy
Department of Hydrology and Atmospheric Sciences, The University of
Arizona, Tucson, USA
Alberto Guadagnini
CORRESPONDING AUTHOR
Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Milano, Milan, Italy
Department of Hydrology and Atmospheric Sciences, The University of
Arizona, Tucson, USA
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Stefano Conversi, Daniela Carrion, and Monica Riva
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-G-2025, 315–321, https://doi.org/10.5194/isprs-archives-XLVIII-G-2025-315-2025, https://doi.org/10.5194/isprs-archives-XLVIII-G-2025-315-2025, 2025
Fuyun Huang, Yuan Gao, Xiaonong Hu, Xiaoguang Wang, and Shengyan Pu
EGUsphere, https://doi.org/10.5194/egusphere-2025-324, https://doi.org/10.5194/egusphere-2025-324, 2025
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This study employs the Darcy-Brinkman-Stokes equations to characterize the coupled seepage process in porous media of the karst aquifer and the free flow process in karst conduit and stream. Results show that the impact of different water retention models on the interaction process is quite significant. The degree of change in water level of the stream also varies, and this change can affect the ease with which different strata media in the karst aquifer recharge the stream.
Andrea Manzoni, Giovanni Michele Porta, Laura Guadagnini, Alberto Guadagnini, and Monica Riva
Hydrol. Earth Syst. Sci., 28, 2661–2682, https://doi.org/10.5194/hess-28-2661-2024, https://doi.org/10.5194/hess-28-2661-2024, 2024
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We introduce a comprehensive methodology that combines multi-objective optimization, global sensitivity analysis (GSA) and 3D groundwater modeling to analyze subsurface flow dynamics across large-scale domains. In this way, we effectively consider the inherent uncertainty associated with subsurface system characterizations and their interactions with surface waterbodies. We demonstrate the effectiveness of our proposed approach by applying it to the largest groundwater system in Italy.
Stefano Conversi, Daniela Carrion, Francesco Gioia, Alessandra Norcini, and Monica Riva
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-4-W12-2024, 19–27, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-19-2024, https://doi.org/10.5194/isprs-archives-XLVIII-4-W12-2024-19-2024, 2024
David Luttenauer, Aronne Dell'Oca, Alberto Guadagnini, Sylvain Weill, and Philippe Ackerer
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2024-73, https://doi.org/10.5194/hess-2024-73, 2024
Revised manuscript not accepted
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Land Surface Model outputs (evaporation, transpiration, groundwater recharge) are influenced by uncertain parameters. Global sensitivity metrics provide a ranking of the importance of uncertain factors. Evaporation is directly influenced by the net radiation and by the parameters associated with the top litter layer. Transpiration appears as mainly influenced by the vegetation characteristics and by albedo. Groundwater recharge is influenced mainly by soil-related parameters.
S. Conversi, D. Carrion, A. Norcini, and M. Riva
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLVIII-1-W2-2023, 1363–1371, https://doi.org/10.5194/isprs-archives-XLVIII-1-W2-2023-1363-2023, https://doi.org/10.5194/isprs-archives-XLVIII-1-W2-2023-1363-2023, 2023
Yaniv Edery, Martin Stolar, Giovanni Porta, and Alberto Guadagnini
Hydrol. Earth Syst. Sci., 25, 5905–5915, https://doi.org/10.5194/hess-25-5905-2021, https://doi.org/10.5194/hess-25-5905-2021, 2021
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The interplay between dissolution, precipitation and transport is widely encountered in porous media, from CO2 storage to cave formation in carbonate rocks. We show that dissolution occurs along preferential flow paths with high hydraulic conductivity, while precipitation occurs at locations close to yet separated from these flow paths, thus further funneling the flow and changing the probability density function of the transport, as measured on the altered conductivity field at various times.
Giulia Ceriotti, Claudio Geloni, Matilde Dalla Rosa, Alberto Guadagnini, and Giovanni Porta
Hydrol. Earth Syst. Sci., 25, 3539–3553, https://doi.org/10.5194/hess-25-3539-2021, https://doi.org/10.5194/hess-25-3539-2021, 2021
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Understanding the natural generation of CO2 in sedimentary basins is key to optimizing exploitation of natural resources and exploring feasibility of carbon capture and storage. We present a novel modeling approach to estimate the probability of CO2 generation caused by geochemical reactions at high temperatures and pressure in realistic sedimentary basins. Our model allows estimation of the most probable CO2 source depth and generation rate as a function of the composition of the source rock.
Haifan Liu, Heng Dai, Jie Niu, Bill X. Hu, Dongwei Gui, Han Qiu, Ming Ye, Xingyuan Chen, Chuanhao Wu, Jin Zhang, and William Riley
Hydrol. Earth Syst. Sci., 24, 4971–4996, https://doi.org/10.5194/hess-24-4971-2020, https://doi.org/10.5194/hess-24-4971-2020, 2020
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It is still challenging to apply the quantitative and comprehensive global sensitivity analysis method to complex large-scale process-based hydrological models because of variant uncertainty sources and high computational cost. This work developed a new tool and demonstrate its implementation to a pilot example for comprehensive global sensitivity analysis of large-scale hydrological modelling. This method is mathematically rigorous and can be applied to other large-scale hydrological models.
Aronne Dell'Oca, Alberto Guadagnini, and Monica Riva
Hydrol. Earth Syst. Sci., 24, 3097–3109, https://doi.org/10.5194/hess-24-3097-2020, https://doi.org/10.5194/hess-24-3097-2020, 2020
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Permeability of natural systems exhibits heterogeneous spatial variations linked with the size of the measurement support scale. As the latter becomes coarser, the system appearance is less heterogeneous. As such, sets of permeability data associated with differing support scales provide diverse amounts of information. In this contribution, we leverage information theory to quantify the information content of gas permeability datasets collected with four diverse measurement support scales.
Haifan Liu, Heng Dai, Jie Niu, Bill X. Hu, Han Qiu, Dongwei Gui, Ming Ye, Xingyuan Chen, Chuanhao Wu, Jin Zhang, and William Riley
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-246, https://doi.org/10.5194/hess-2019-246, 2019
Manuscript not accepted for further review
Guoping Lu and Bill X. Hu
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2018-624, https://doi.org/10.5194/hess-2018-624, 2019
Manuscript not accepted for further review
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It has been postulated that deep faults are well channeled and networked in the crust. The Xinzhou geothermal field presents a deep fault zone with dome-shaped surface of equilibrium hydraulic heads. Thermal fluid flows are strongly regulated by gravity, buoyancy and viscosity as well. This paper showed that the deep fault is as permeable as clean sands and lower end of gravels. Fluid-flowing faults implicate propagation of pressure/porosity waves and lower limit of groundwater circulations.
Dan Yu, Ping Xie, Xiaohua Dong, Xiaonong Hu, Ji Liu, Yinghai Li, Tao Peng, Haibo Ma, Kai Wang, and Shijin Xu
Hydrol. Earth Syst. Sci., 22, 5001–5019, https://doi.org/10.5194/hess-22-5001-2018, https://doi.org/10.5194/hess-22-5001-2018, 2018
Peng-Fei Han, Xu-Sheng Wang, Xiaomei Jin, and Bill X. Hu
Proc. IAHS, 379, 433–442, https://doi.org/10.5194/piahs-379-433-2018, https://doi.org/10.5194/piahs-379-433-2018, 2018
Martina Siena and Monica Riva
Hydrol. Earth Syst. Sci., 22, 2971–2985, https://doi.org/10.5194/hess-22-2971-2018, https://doi.org/10.5194/hess-22-2971-2018, 2018
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The development of sustainable strategies for groundwater resources exploitation in coastal regions is subordinated to the characterization of seawater intrusion (SWI) phenomena. We develop a numerical model tailored to a real coastal aquifer to investigate quantitatively the joint effects of hydraulic properties heterogeneity and pumping configuration on saltwater inland penetration and saltwater–freshwater mixing. Our results allowed identifying efficient scenarios for the reduction of SWI.
Chuanhao Wu, Bill X. Hu, Guoru Huang, Peng Wang, and Kai Xu
Hydrol. Earth Syst. Sci., 22, 1971–1991, https://doi.org/10.5194/hess-22-1971-2018, https://doi.org/10.5194/hess-22-1971-2018, 2018
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China has suffered some of the effects of global warming, and one of the potential implications of climate warming is the alteration of the temporal–spatial patterns of water resources. In this paper, the Budyko-based elasticity method was used to investigate the responses of runoff to historical and future climate variability over China at both grid and catchment scales. The results help to better understand the hydrological effects of climate change and adapt to a changing environment.
Ming Wu, Jianfeng Wu, Jichun Wu, and Bill X. Hu
Hydrol. Earth Syst. Sci., 22, 1001–1015, https://doi.org/10.5194/hess-22-1001-2018, https://doi.org/10.5194/hess-22-1001-2018, 2018
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Fractal models of regular triangle arrangement (RTA) and square pitch arrangement (SPA) are developed in this study. Results suggest RTA can cause more groundwater contamination and make remediation more difficult. In contrast, the cleanup of contaminants in aquifers with SPA is easier. This study demonstrates how microscale arrangements control contaminant migration and remediation, which is helpful in designing successful remediation schemes for subsurface contamination.
Zexuan Xu, Bill X. Hu, and Ming Ye
Hydrol. Earth Syst. Sci., 22, 221–239, https://doi.org/10.5194/hess-22-221-2018, https://doi.org/10.5194/hess-22-221-2018, 2018
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This study helps hydrologists better understand the parameters in modeling seawater intrusion in a coastal karst aquifer. Local and global sensitivity studies are conducted to evaluate a density-dependent numerical model of seawater intrusion. The sensitivity analysis indicates that karst features are critical for seawater intrusion modeling, and the evaluation of hydraulic conductivity is biased in continuum SEAWAT model. Dispervisity is no longer important in the advection-dominated aquifer.
Aronne Dell'Oca, Monica Riva, and Alberto Guadagnini
Hydrol. Earth Syst. Sci., 21, 6219–6234, https://doi.org/10.5194/hess-21-6219-2017, https://doi.org/10.5194/hess-21-6219-2017, 2017
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We propose new metrics to assist global sensitivity analysis of Earth systems. Our approach allows assessing the impact of model parameters on the first four statistical moments of a target model output, allowing us to ascertain which parameters can affect some moments of the model output pdf while being uninfluential to others. Our approach is fully compatible with analysis in the context of model complexity reduction, design of experiment, uncertainty quantification and risk assessment.
Xiujie Wu, Xu-Sheng Wang, Yang Wang, and Bill X. Hu
Hydrol. Earth Syst. Sci., 21, 4419–4431, https://doi.org/10.5194/hess-21-4419-2017, https://doi.org/10.5194/hess-21-4419-2017, 2017
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It is critical to identify the origins of water in arid and semiarid regions for management and protection of the water resources. The D, 18O, 3H and 14C in water samples from the Badain Jaran Desert, China, were analyzed. The results show that groundwater supplies the lakes and originates from local precipitation and adjacent mountains. Negative d-excess values of water in the area were the result of evaporation. The 14C ages do not represent the residence time of local groundwater.
Chuanhao Wu, Pat J.-F. Yeh, Kai Xu, Bill X. Hu, Guoru Huang, and Peng Wang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-441, https://doi.org/10.5194/hess-2017-441, 2017
Manuscript not accepted for further review
A. Guadagnini, S. P. Neuman, T. Nan, M. Riva, and C. L. Winter
Hydrol. Earth Syst. Sci., 19, 729–745, https://doi.org/10.5194/hess-19-729-2015, https://doi.org/10.5194/hess-19-729-2015, 2015
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Previously we have shown that many earth-system and other variables can be viewed as samples from scale mixtures of truncated fractional Brownian motion or fractional Gaussian noise. Here we study statistical scaling of extreme absolute increments associated with such samples. As a real example we analyze neutron porosities from deep boreholes in diverse depositional units. Phenomena we uncover are relevant to the analysis of fluid flow and solute transport in complex hydrogeologic environments.
M. Riva, S. P. Neuman, and A. Guadagnini
Nonlin. Processes Geophys., 20, 549–561, https://doi.org/10.5194/npg-20-549-2013, https://doi.org/10.5194/npg-20-549-2013, 2013
W. Tian, X. Li, G.-D. Cheng, X.-S. Wang, and B. X. Hu
Hydrol. Earth Syst. Sci., 16, 4707–4723, https://doi.org/10.5194/hess-16-4707-2012, https://doi.org/10.5194/hess-16-4707-2012, 2012
Related subject area
Subject: Groundwater hydrology | Techniques and Approaches: Stochastic approaches
Groundwater head responses to droughts across Germany
Towards a community-wide effort for benchmarking in subsurface hydrological inversion: benchmarking cases, high-fidelity reference solutions, procedure, and first comparison
A comprehensive framework for stochastic calibration and sensitivity analysis of large-scale groundwater models
An ensemble-based approach for pumping optimization in an island aquifer considering parameter, observation and climate uncertainty
Improving understanding of groundwater flow in an alpine karst system by reconstructing its geologic history using conduit network model ensembles
The effects of rain and evapotranspiration statistics on groundwater recharge estimations for semi-arid environments
Characterization of the highly fractured zone at the Grimsel Test Site based on hydraulic tomography
Influence of low-frequency variability on high and low groundwater levels: example of aquifers in the Paris Basin
Technical note: Using long short-term memory models to fill data gaps in hydrological monitoring networks
Technical note: Discharge response of a confined aquifer with variable thickness to temporal, nonstationary, random recharge processes
A field evidence model: how to predict transport in heterogeneous aquifers at low investigation level
3D multiple-point statistics simulations of the Roussillon Continental Pliocene aquifer using DeeSse
Technical Note: Improved sampling of behavioral subsurface flow model parameters using active subspaces
Efficient screening of groundwater head monitoring data for anthropogenic effects and measurement errors
Regionalization with hierarchical hydrologic similarity and ex situ data in the context of groundwater recharge estimation at ungauged watersheds
Long-term groundwater recharge rates across India by in situ measurements
Stochastic hydrogeology's biggest hurdles analyzed and its big blind spot
Contributions to uncertainty related to hydrostratigraphic modeling using multiple-point statistics
Recent trends of groundwater temperatures in Austria
Moment-based metrics for global sensitivity analysis of hydrological systems
Multiple-point statistical simulation for hydrogeological models: 3-D training image development and conditioning strategies
Characterizing the spatiotemporal variability of groundwater levels of alluvial aquifers in different settings using drought indices
Testing the use of standardised indices and GRACE satellite data to estimate the European 2015 groundwater drought in near-real time
Modeling 3-D permeability distribution in alluvial fans using facies architecture and geophysical acquisitions
A Bayesian consistent dual ensemble Kalman filter for state-parameter estimation in subsurface hydrology
Technical note: Application of artificial neural networks in groundwater table forecasting – a case study in a Singapore swamp forest
Regional analysis of groundwater droughts using hydrograph classification
Scalable statistics of correlated random variables and extremes applied to deep borehole porosities
Observed groundwater temperature response to recent climate change
The effect of training image and secondary data integration with multiple-point geostatistics in groundwater modelling
Is high-resolution inverse characterization of heterogeneous river bed hydraulic conductivities needed and possible?
Investigation of solute transport in nonstationary unsaturated flow fields
Extended power-law scaling of heavy-tailed random air-permeability fields in fractured and sedimentary rocks
Stochastic analysis of field-scale heat advection in heterogeneous aquifers
Groundwater flow inverse modeling in non-MultiGaussian media: performance assessment of the normal-score Ensemble Kalman Filter
Extended power-law scaling of air permeabilities measured on a block of tuff
Quantifying flow and remediation zone uncertainties for partially opened wells in heterogeneous aquifers
Bayesian approach for three-dimensional aquifer characterization at the Hanford 300 Area
Spectral approach to seawater intrusion in heterogeneous coastal aquifers
Pia Ebeling, Andreas Musolff, Rohini Kumar, Andreas Hartmann, and Jan H. Fleckenstein
Hydrol. Earth Syst. Sci., 29, 2925–2950, https://doi.org/10.5194/hess-29-2925-2025, https://doi.org/10.5194/hess-29-2925-2025, 2025
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Groundwater is a crucial resource at risk due to droughts. To understand drought effects on groundwater levels in Germany, we grouped 6626 wells into six regional and two national patterns. Weather explained half of the level variations with varied response times. Shallow groundwater responds fast and is more vulnerable to short droughts (a few months). Dampened deep heads buffer short droughts but suffer from long droughts and recoveries. Two nationwide trend patterns were linked to human water use.
Teng Xu, Sinan Xiao, Sebastian Reuschen, Nils Wildt, Harrie-Jan Hendricks Franssen, and Wolfgang Nowak
Hydrol. Earth Syst. Sci., 28, 5375–5400, https://doi.org/10.5194/hess-28-5375-2024, https://doi.org/10.5194/hess-28-5375-2024, 2024
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We provide a set of benchmarking scenarios for geostatistical inversion, and we encourage the scientific community to use these to compare their newly developed methods. To facilitate transparent, appropriate, and uncertainty-aware comparison of novel methods, we provide some accurate reference solutions, a high-end reference algorithm, and a diverse set of benchmarking metrics, all of which are publicly available. With this, we seek to foster more targeted and transparent progress in the field.
Andrea Manzoni, Giovanni Michele Porta, Laura Guadagnini, Alberto Guadagnini, and Monica Riva
Hydrol. Earth Syst. Sci., 28, 2661–2682, https://doi.org/10.5194/hess-28-2661-2024, https://doi.org/10.5194/hess-28-2661-2024, 2024
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We introduce a comprehensive methodology that combines multi-objective optimization, global sensitivity analysis (GSA) and 3D groundwater modeling to analyze subsurface flow dynamics across large-scale domains. In this way, we effectively consider the inherent uncertainty associated with subsurface system characterizations and their interactions with surface waterbodies. We demonstrate the effectiveness of our proposed approach by applying it to the largest groundwater system in Italy.
Cécile Coulon, Jeremy T. White, Alexandre Pryet, Laura Gatel, and Jean-Michel Lemieux
Hydrol. Earth Syst. Sci., 28, 303–319, https://doi.org/10.5194/hess-28-303-2024, https://doi.org/10.5194/hess-28-303-2024, 2024
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In coastal areas, groundwater managers require information on the risk of well salinization associated with various pumping scenarios. We developed a modeling approach to identify the optimal tradeoff between groundwater pumping and probability of salinization, considering model parameter and historical observation uncertainty as well as uncertainty in sea level and recharge projections. The workflow can be implemented in a wide range of coastal settings.
Chloé Fandel, Ty Ferré, François Miville, Philippe Renard, and Nico Goldscheider
Hydrol. Earth Syst. Sci., 27, 4205–4215, https://doi.org/10.5194/hess-27-4205-2023, https://doi.org/10.5194/hess-27-4205-2023, 2023
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From the surface, it is hard to tell where underground cave systems are located. We developed a computer model to create maps of the probable cave network in an area, based on the geologic setting. We then applied our approach in reverse: in a region where an old cave network was mapped, we used modeling to test what the geologic setting might have been like when the caves formed. This is useful because understanding past cave formation can help us predict where unmapped caves are located today.
Tuvia Turkeltaub and Golan Bel
Hydrol. Earth Syst. Sci., 27, 289–302, https://doi.org/10.5194/hess-27-289-2023, https://doi.org/10.5194/hess-27-289-2023, 2023
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Groundwater is an essential resource affected by climate conditions and anthropogenic activities. Estimations of groundwater recharge under current and future climate conditions require long-term climate records that are scarce. Different methods to synthesize climate data, based on observations, are used to estimate groundwater recharge. In terms of groundwater recharge estimation, the best synthesis method is based on the daily statistics corrected to match the observed monthly statistics.
Lisa Maria Ringel, Mohammadreza Jalali, and Peter Bayer
Hydrol. Earth Syst. Sci., 26, 6443–6455, https://doi.org/10.5194/hess-26-6443-2022, https://doi.org/10.5194/hess-26-6443-2022, 2022
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Fractured rocks host a class of aquifers that serve as major freshwater resources worldwide. This work is dedicated to resolving the three-dimensional hydraulic and structural properties of fractured rock. For this purpose, hydraulic tomography experiments at the Grimsel Test Site in Switzerland are utilized, and the discrete fracture network is inverted. The comparison of the inversion results with independent findings from other studies demonstrates the validity of the approach.
Lisa Baulon, Nicolas Massei, Delphine Allier, Matthieu Fournier, and Hélène Bessiere
Hydrol. Earth Syst. Sci., 26, 2829–2854, https://doi.org/10.5194/hess-26-2829-2022, https://doi.org/10.5194/hess-26-2829-2022, 2022
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Aquifers often act as low-pass filters, dampening high-frequency (intra-annual) and amplifying low-frequency (LFV, multi-annual to multidecadal) variabilities originating from climate variability. By processing groundwater level signals, we show the key role of LFV in the occurrence of groundwater extremes (GWEs). Results highlight how changes in LFV may impact future GWEs as well as the importance of correct representation of LFV in general circulation model outputs for GWE projection.
Huiying Ren, Erol Cromwell, Ben Kravitz, and Xingyuan Chen
Hydrol. Earth Syst. Sci., 26, 1727–1743, https://doi.org/10.5194/hess-26-1727-2022, https://doi.org/10.5194/hess-26-1727-2022, 2022
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We used a deep learning method called long short-term memory (LSTM) to fill gaps in data collected by hydrologic monitoring networks. LSTM accounted for correlations in space and time and nonlinear trends in data. Compared to a traditional regression-based time-series method, LSTM performed comparably when filling gaps in data with smooth patterns, while it better captured highly dynamic patterns in data. Capturing such dynamics is critical for understanding dynamic complex system behaviors.
Ching-Min Chang, Chuen-Fa Ni, We-Ci Li, Chi-Ping Lin, and I-Hsien Lee
Hydrol. Earth Syst. Sci., 25, 2387–2397, https://doi.org/10.5194/hess-25-2387-2021, https://doi.org/10.5194/hess-25-2387-2021, 2021
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A transfer function to describe the variation in the integrated specific discharge in response to the temporal variation in the rainfall event in the frequency domain is developed. It can be used to quantify the variability in the integrated discharge field induced by the variation in rainfall field or to simulate the discharge response of the system to any varying rainfall input, at any time resolution, using the convolution model.
Alraune Zech, Peter Dietrich, Sabine Attinger, and Georg Teutsch
Hydrol. Earth Syst. Sci., 25, 1–15, https://doi.org/10.5194/hess-25-1-2021, https://doi.org/10.5194/hess-25-1-2021, 2021
Valentin Dall'Alba, Philippe Renard, Julien Straubhaar, Benoit Issautier, Cédric Duvail, and Yvan Caballero
Hydrol. Earth Syst. Sci., 24, 4997–5013, https://doi.org/10.5194/hess-24-4997-2020, https://doi.org/10.5194/hess-24-4997-2020, 2020
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Due to climate and population evolution, increased pressure is put on the groundwater resource, which calls for better understanding and models. In this paper, we describe a novel workflow to model the geological heterogeneity of coastal aquifers and apply it to the Roussillon plain (southern France). The main strength of the workflow is its capability to model aquifer heterogeneity when only sparse data are available while honoring the local geological trends and quantifying uncertainty.
Daniel Erdal and Olaf A. Cirpka
Hydrol. Earth Syst. Sci., 24, 4567–4574, https://doi.org/10.5194/hess-24-4567-2020, https://doi.org/10.5194/hess-24-4567-2020, 2020
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Assessing model sensitivities with ensemble-based methods can be prohibitively expensive when large parts of the plausible parameter space result in model simulations with nonrealistic results. In a previous work, we used the method of active subspaces to create a proxy model with the purpose of filtering out such unrealistic runs at low cost. This work details a notable improvement in the efficiency of the original sampling scheme, without loss of accuracy.
Christian Lehr and Gunnar Lischeid
Hydrol. Earth Syst. Sci., 24, 501–513, https://doi.org/10.5194/hess-24-501-2020, https://doi.org/10.5194/hess-24-501-2020, 2020
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A screening method for the fast identification of well-specific peculiarities in hydrographs of groundwater head monitoring networks is suggested and tested. The only information required is a set of time series of groundwater head readings all measured at the same instants of time. The results were used to check the data for measurement errors and to identify wells with possible anthropogenic influence.
Ching-Fu Chang and Yoram Rubin
Hydrol. Earth Syst. Sci., 23, 2417–2438, https://doi.org/10.5194/hess-23-2417-2019, https://doi.org/10.5194/hess-23-2417-2019, 2019
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Estimates of hydrologic responses at ungauged watersheds can be conditioned on information transferred from other gauged watersheds. This paper presents an approach to consider the variable controls on information transfer among watersheds under different conditions while at the same time featuring uncertainty representation in both the model structure and the model parameters.
Soumendra N. Bhanja, Abhijit Mukherjee, R. Rangarajan, Bridget R. Scanlon, Pragnaditya Malakar, and Shubha Verma
Hydrol. Earth Syst. Sci., 23, 711–722, https://doi.org/10.5194/hess-23-711-2019, https://doi.org/10.5194/hess-23-711-2019, 2019
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Groundwater depletion in India has been a much-debated issue in recent years. Here we investigate long-term, spatiotemporal variation in prevailing groundwater recharge rates across India. Groundwater recharge rates have been estimated based on field-scale groundwater-level measurements and the tracer injection approach; recharge rates from the two estimates compared favorably. The role of precipitation in controlling groundwater recharge is studied.
Yoram Rubin, Ching-Fu Chang, Jiancong Chen, Karina Cucchi, Bradley Harken, Falk Heße, and Heather Savoy
Hydrol. Earth Syst. Sci., 22, 5675–5695, https://doi.org/10.5194/hess-22-5675-2018, https://doi.org/10.5194/hess-22-5675-2018, 2018
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This paper addresses questions related to the adoption of stochastic methods in hydrogeology, looking at factors such as environmental regulations, financial incentives, higher education, and the collective feedback loop involving these factors. We show that stochastic hydrogeology's blind spot is in focusing on risk while ignoring uncertainty, to the detriment of its potential clients. The imbalance between the treatments of risk and uncertainty is shown to be common to multiple disciplines.
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
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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.
Susanne A. Benz, Peter Bayer, Gerfried Winkler, and Philipp Blum
Hydrol. Earth Syst. Sci., 22, 3143–3154, https://doi.org/10.5194/hess-22-3143-2018, https://doi.org/10.5194/hess-22-3143-2018, 2018
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Climate change is one of the most pressing challenges modern society faces. Increasing temperatures are observed both above ground and, as discussed here, in the groundwater – the source of most drinking water. Within Austria average temperature increased by 0.7 °C over the past 20 years, with an increase of more than 3 °C in some wells and temperature decrease in others. However, these extreme changes can be linked to local events such as the construction of a new drinking water supply.
Aronne Dell'Oca, Monica Riva, and Alberto Guadagnini
Hydrol. Earth Syst. Sci., 21, 6219–6234, https://doi.org/10.5194/hess-21-6219-2017, https://doi.org/10.5194/hess-21-6219-2017, 2017
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We propose new metrics to assist global sensitivity analysis of Earth systems. Our approach allows assessing the impact of model parameters on the first four statistical moments of a target model output, allowing us to ascertain which parameters can affect some moments of the model output pdf while being uninfluential to others. Our approach is fully compatible with analysis in the context of model complexity reduction, design of experiment, uncertainty quantification and risk assessment.
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
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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.
Johannes Christoph Haas and Steffen Birk
Hydrol. Earth Syst. Sci., 21, 2421–2448, https://doi.org/10.5194/hess-21-2421-2017, https://doi.org/10.5194/hess-21-2421-2017, 2017
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We show that the variability of groundwater levels within an Alpine river valley is more strongly affected by human impacts on rivers than by extreme events in precipitation. The influence of precipitation is found to be more pronounced in the shallow wells of the Alpine foreland. Groundwater levels, river stages and precipitation behave more similar under drought than under flood conditions and generally exhibit a tendency towards more similar behavior in the most recent decade.
Anne F. Van Loon, Rohini Kumar, and Vimal Mishra
Hydrol. Earth Syst. Sci., 21, 1947–1971, https://doi.org/10.5194/hess-21-1947-2017, https://doi.org/10.5194/hess-21-1947-2017, 2017
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Summer 2015 was extremely dry in Europe, hampering groundwater supply to irrigation and drinking water. For effective management, the groundwater situation should be monitored in real time, but data are not available. We tested two methods to estimate groundwater in near-real time, based on satellite data and using the relationship between rainfall and historic groundwater levels. The second method gave a good spatially variable representation of the 2015 groundwater drought in Europe.
Lin Zhu, Huili Gong, Zhenxue Dai, Gaoxuan Guo, and Pietro Teatini
Hydrol. Earth Syst. Sci., 21, 721–733, https://doi.org/10.5194/hess-21-721-2017, https://doi.org/10.5194/hess-21-721-2017, 2017
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We developed a method to characterize the distribution and variance of the hydraulic conductivity k in a multiple-zone alluvial fan by fusing multiple-source data. Consistently with the scales of the sedimentary transport energy, the k variance of the various facies decreases from the upper to the lower portion along the flow direction. The 3-D distribution of k is consistent with that of the facies. The potentialities of the proposed approach are tested on the Chaobai River megafan, China.
Boujemaa Ait-El-Fquih, Mohamad El Gharamti, and Ibrahim Hoteit
Hydrol. Earth Syst. Sci., 20, 3289–3307, https://doi.org/10.5194/hess-20-3289-2016, https://doi.org/10.5194/hess-20-3289-2016, 2016
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We derive a new dual ensemble Kalman filter (EnKF) for state-parameter estimation. The derivation is based on the one-step-ahead smoothing formulation, and unlike the standard dual EnKF, it is consistent with the Bayesian formulation of the state-parameter estimation problem and uses the observations in both state smoothing and forecast. This is shown to enhance the performance and robustness of the dual EnKF in experiments conducted with a two-dimensional synthetic groundwater aquifer model.
Yabin Sun, Dadiyorto Wendi, Dong Eon Kim, and Shie-Yui Liong
Hydrol. Earth Syst. Sci., 20, 1405–1412, https://doi.org/10.5194/hess-20-1405-2016, https://doi.org/10.5194/hess-20-1405-2016, 2016
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This study applies artificial neural networks (ANN) to predict the groundwater table variations in a tropical wetland in Singapore. Surrounding reservoir levels and rainfall are selected as ANN inputs. The limited number of inputs eliminates the data-demanding restrictions inherent in the physical-based numerical models. The forecast is made at 4 locations with 3 leading times up to 7 days. The ANN forecast shows promising accuracy with decreasing performance when leading time progresses.
J. P. Bloomfield, B. P. Marchant, S. H. Bricker, and R. B. Morgan
Hydrol. Earth Syst. Sci., 19, 4327–4344, https://doi.org/10.5194/hess-19-4327-2015, https://doi.org/10.5194/hess-19-4327-2015, 2015
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To improve the design of drought monitoring networks and water resource management during episodes of drought, there is a need for a better understanding of spatial variations in the response of aquifers to major meteorological droughts. This paper is the first to describe a suite of methods to quantify such variations. Using an analysis of groundwater level data for a case study from the UK, the influence of catchment characteristics on the varied response of groundwater to droughts is explored
A. Guadagnini, S. P. Neuman, T. Nan, M. Riva, and C. L. Winter
Hydrol. Earth Syst. Sci., 19, 729–745, https://doi.org/10.5194/hess-19-729-2015, https://doi.org/10.5194/hess-19-729-2015, 2015
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Previously we have shown that many earth-system and other variables can be viewed as samples from scale mixtures of truncated fractional Brownian motion or fractional Gaussian noise. Here we study statistical scaling of extreme absolute increments associated with such samples. As a real example we analyze neutron porosities from deep boreholes in diverse depositional units. Phenomena we uncover are relevant to the analysis of fluid flow and solute transport in complex hydrogeologic environments.
K. Menberg, P. Blum, B. L. Kurylyk, and P. Bayer
Hydrol. Earth Syst. Sci., 18, 4453–4466, https://doi.org/10.5194/hess-18-4453-2014, https://doi.org/10.5194/hess-18-4453-2014, 2014
X. L. He, T. O. Sonnenborg, F. Jørgensen, and K. H. Jensen
Hydrol. Earth Syst. Sci., 18, 2943–2954, https://doi.org/10.5194/hess-18-2943-2014, https://doi.org/10.5194/hess-18-2943-2014, 2014
W. Kurtz, H.-J. Hendricks Franssen, P. Brunner, and H. Vereecken
Hydrol. Earth Syst. Sci., 17, 3795–3813, https://doi.org/10.5194/hess-17-3795-2013, https://doi.org/10.5194/hess-17-3795-2013, 2013
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 16, 4049–4055, https://doi.org/10.5194/hess-16-4049-2012, https://doi.org/10.5194/hess-16-4049-2012, 2012
A. Guadagnini, M. Riva, and S. P. Neuman
Hydrol. Earth Syst. Sci., 16, 3249–3260, https://doi.org/10.5194/hess-16-3249-2012, https://doi.org/10.5194/hess-16-3249-2012, 2012
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 16, 641–648, https://doi.org/10.5194/hess-16-641-2012, https://doi.org/10.5194/hess-16-641-2012, 2012
L. Li, H. Zhou, H. J. Hendricks Franssen, and J. J. Gómez-Hernández
Hydrol. Earth Syst. Sci., 16, 573–590, https://doi.org/10.5194/hess-16-573-2012, https://doi.org/10.5194/hess-16-573-2012, 2012
M. Siena, A. Guadagnini, M. Riva, and S. P. Neuman
Hydrol. Earth Syst. Sci., 16, 29–42, https://doi.org/10.5194/hess-16-29-2012, https://doi.org/10.5194/hess-16-29-2012, 2012
C.-F. Ni, C.-P. Lin, S.-G. Li, and J.-S. Chen
Hydrol. Earth Syst. Sci., 15, 2291–2301, https://doi.org/10.5194/hess-15-2291-2011, https://doi.org/10.5194/hess-15-2291-2011, 2011
H. Murakami, X. Chen, M. S. Hahn, Y. Liu, M. L. Rockhold, V. R. Vermeul, J. M. Zachara, and Y. Rubin
Hydrol. Earth Syst. Sci., 14, 1989–2001, https://doi.org/10.5194/hess-14-1989-2010, https://doi.org/10.5194/hess-14-1989-2010, 2010
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 14, 719–727, https://doi.org/10.5194/hess-14-719-2010, https://doi.org/10.5194/hess-14-719-2010, 2010
Cited articles
Alfonzo, M. and Oliver, D. S.: Seismic data assimilation with an imperfect
model, Comput. Geosci., 24, 889–905, https://doi.org/10.1007/s10596-019-09849-0, 2020.
Bauser, H. H., Berg, D., Klein, O., and Roth, K.: Inflation method for ensemble Kalman filter in soil hydrology, Hydrol. Earth Syst. Sci., 22, 4921–4934, https://doi.org/10.5194/hess-22-4921-2018, 2018.
Bianchi Janetti, E., Riva, M., Straface, S., and Guadagnini, A.: Stochastic
characterization of the Montalto Uffugo research site (Italy) by geostatistical inversion of moment equations of groundwater flow, J. Hydrol., 381, 42–51, 2010.
Bianchi Janetti, E., Guadagnini, L., Riva, M., Guadagnini, A.: Global
sensitivity analyses of multiple conceptual models with uncertain parameters
driving groundwater flow in a regional-scale sedimentary aquifer, J. Hydrol., 574, 544–556, 2019.
Bocquet, M. and Sakov, P.: An iterative ensemble Kalman smoother, Q. J. Roy. Meteorol. Soc., 140, 1521–1535, 2014.
Botto, A., Belluco, E., and Camporese, M.: Multi-source data assimilation for physically based hydrological modeling of an experimental hillslope, Hydrol. Earth Syst. Sci., 22, 4251–4266, https://doi.org/10.5194/hess-22-4251-2018, 2018.
Chen, Y. and Oliver, D. S.: Levenberg–Marquardt forms of the iterative ensemble smoother for efficient history matching and uncertainty quantification, Comput. Geosci., 17, 689–703, 2013.
Chen, Z. and Zhang, Y.: Well flow models for various numerical methods, Int.
J. Numer. Anal. Mod., 6, 375–388, 2009.
Chen, Z., Gomez-Hernandez, J. J., Xu, T., and Zanini, A.: Joint identification of contaminant source and aquifer geometry in a sandbox experiment with the restart ensemble Kalman filter, J. Hydrol., 564, 1074–1084, 2018.
Chang, H., Liao, Q., and Zhang, D.: Surrogate model based iterative ensemble
smoother for subsurface flow data assimilation, Adv. Water Resour., 100,
96–108, 2017.
Deutsch, C. V. and Journel, A. G.: GSLIB: Geostatistical Software Library and User's Guide, 2nd Edn., Oxford University Press, New York, p. 369, 1998.
Elci, A., Molz, F. J., and Waldrop, W. R.: Implications of Observed and
Simulated Ambient Flow in Monitoring Wells, Ground Water, 39, 853–862, 2001.
Elci, A., Flach, G. P., and Molz, F. J.: Detrimental effects of natural
vertical head gradients on chemical and water level measurements in
observation wells: identification and control, J. Hydrol., 281, 70–81, 2003.
Emerick, A. A. and Reynolds, A. C.: Ensemble Smoother with Multiple Data
Assimilation, Comput. Geosci., 55, 3–15, 2013.
Evensen, G.: Sequential data assimilation with a nonlinear quasi-geostrophic
model using Monte Carlo methods to forecast error statistics, J. Geophys.
Res., 99, 10143–10162, 1994.
Evensen, G.: Accounting for model errors in iterative ensemble smoothers,
Comput. Geosci., 23, 761–775, 2019.
Gu, Y. and Oliver, D. S.: An Iterative Ensemble Kalman Filter for Multiphase
Fluid Flow Data Assimilation, SPE J., 12, 438–446, 2007.
Guadagnini, L., Guadagnini, A., and Tartakovsky, D. M.: Probabilistic
Reconstruction of geologic facies, J. Hydrol., 294, 57–67, 2004.
Hendricks Franssen, H. J. and Kinzelbach, W.: Real-time groundwater flow
modeling with the Ensemble Kalman Filter: Joint estimation of states and
parameters and the filter inbreeding problem, Water Resour. Res., 44, W09408, https://doi.org/10.1029/2007WR006505, 2008.
Hendricks Franssen, H. J., Kaiser, H. P., Kuhlmann, U., Bauser, G., Stauffer, F., Mueller, R., and Kinzelbach, W.: Operational real-time modeling with ensemble Kalman filter of variably saturated subsurface flow including stream-aquifer interaction and parameter updating, Water Resour. Res., 47, W02532, https://doi.org/10.1029/2010WR009480, 2011.
Hernandez, A. F., Neuman, S. P., Guadagnini, A., and Carrera, J.: Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion, Stoch. Env. Res. Risk A., 17, 329–338, 2003.
Jazwinski, A. H.: Stochastic processes and filtering theory, Academic Press, New York, 1967.
Konikow, L. F., Hornberger, G. Z., Halford, K. J., Hanson, R. T., and Harbaugh, A. W.: Revised multi-node well (MNW2) package for MODFLOW
ground-water flow model, Report 6-A30, US Geological Survey, available at: http://pubs.er.usgs.gov/publication/tm6A30 (last access: 29 March 2021), 2009.
Kurtz, W., Hendricks Franssen, H. J., Kaiser, H. P., and Vereecken, H.: Joint assimilation of piezometric heads and groundwater temperatures for improved modeling of river-aquifer interactions, Water Resour. Res., 50, 1665–1688, 2014.
Li, L. and Tchelepi, H. A.: Conditional statistical moment equations for
dynamic data integration in heterogeneous reservoirs, SPE Reserv. Eval. Eng., 9, 280–288, 2006.
Li, L., Zhou, H., Gomez-Hernandez, J. J., and Hendricks Franssen, H.-J.:
Jointly mapping hydraulic conductivity and porosity by assimilating concentration data via ensemble Kalman filter, J. Hydrol., 428, 152–169, 2012.
Li, L., Stetler, L., Cao, Z., and Davis, A.: An iterative normal-score ensemble smoother for dealing with non-Gaussianity in data assimilation, J.
Hydrol., 567, 759–766, 2018.
Li, P., Zha, Y., Shi, L., Tso, C.-H. M., Zhang, Y., and Zeng, W.: Comparison
of the use of a physical-based model with data assimilation and machine
learning methods for simulating soil water dynamics, J. Hydrol., 584, 124692, https://doi.org/10.1016/j.jhydrol.2020.124692, 2020.
Liu, G., Chen, Y., and Zhang, D.: Investigation of flow and transport processes at the MADE site using ensemble Kalman filter, Adv. Water Resour.,
31, 975–986, 2008.
Luo, X.: Ensemble-based kernel learning for a class of data assimilation
problems with imperfect forward simulators, PLoS ONE, 14, e0219247, https://doi.org/10.1371/journal.pone.0219247, 2019.
Luo, X., Stordal, A. S., Lorentzen, R. J., and Nævdal, G.: Iterative
Ensemble Smoother as an Approximate Solution to a Regularized Minimum-Average-Cost Problem: Theory and Applications, SPE J., 20, 962–982, 2015.
Luo, X., Lorentzen, R., Valestrand, R., and Evensen, G.: Correlation-Based
Adaptive Localization for Ensemble-Based History Matching: Applied to the Norne Field Case Study, SPE Reserv. Eval. Eng., 22, 1084–1109, 2019.
Mo, S., Zabaras, N., Shi, X., and Wu, J.: Deep Autoregressive Neural Networks for High-Dimensional Inverse Problems in Groundwater Contaminant Source Identification, Water Resour. Res., 55, 3856–3881, 2019.
Neuman, S. P., Guadagnini, A., and Riva, M.: Type-curve estimation of
statistical heterogeneity, Water Resour. Res., 40, W04201, https://doi.org/10.1029/2003WR002405, 2004.
Neuman, S. P., Blattstein, A., Riva, M., Tartakovsky, D. M., Guadagnini, A.,
and Ptak, T.: Type curve interpretation of late-time pumping test data in
randomly heterogeneous aquifers, Water Resour. Res., 43, W10421, https://doi.org/10.1029/2007WR005871, 2007.
Nowak, W.: Measures of parameter uncertainty in geostatistical estimation and geostatistical optimal design, Math. Geosci., 42, 199–221, 2010.
Panzeri, M., Riva, M., Guadagnini, A., and Neuman, S. P.: Data assimilation
and parameter estimation via ensemble Kalman filter coupled with stochastic
moment equations of transient groundwater flow, Water Resour. Res., 49,
1334–1344, 2013.
Panzeri, M., Riva, M., Guadagnini, A., and Neuman, S. P.: Comparison of Ensemble Kalman Filter groundwater-data assimilation methods based on stochastic moment equations and Monte Carlo simulation, Adv. Water Resour.,
66, 8–18, 2014.
Panzeri, M., Riva, M., Guadagnini, A., and Neuman, S. P.: EnKF coupled with
groundwater flow moment equations applied to Lauswiesen aquifer, Germany, J.
Hydrol., 521, 205–216, 2015.
Perulero Serrano, R., Guadagnini, L., Riva, M., Giudici, M., and Guadagnini, A.: Impact of two geostatistical hydro-facies simulation strategies on head
statistics under nonuniform groundwater flow, J. Hydrol., 508, 343–355, 2014.
Post, V., Kooi, H., and Simmons, C.: Using hydraulic head measurements in
variable-density ground water flow analyses, Ground Water, 45, 664–671, 2007.
Riva, M., Guadagnini, A., Neuman, S. P., Janetti, E. B., and Malama, B.:
Inverse analysis of stochastic moment equations for transient flow in randomly heterogeneous media, Adv. Water Resour., 32, 1495–1507, 2009.
Sakov, P. and Bocquet, M.: Asynchronous data assimilation with the EnKF in
presence of additive model error, Tellus A, 70, 1–7, https://doi.org/10.1080/16000870.2017.1414545, 2018.
Sakov, P., Oliver, D. S., and Bertino, L.: An Iterative EnKF for Strongly
Nonlinear Systems, Mon. Weather Rev., 140, 1988–2004, 2012.
Short, M., Guadagnini, L., Guadagnini, A., Tartakovsky, D. M., and Higdon, D.: Predicting vertical connectivity within an aquifer system, Bayesian Anal., 5, 557–582, 2010.
Skjervheim, J.-A., Evensen, G., Hove, J., and Vabø, J. G.: An ensemble smoother for assisted history matching, in: Proceedings of the SPE Reservoir Simulation Symposium, 21–23 February 2011, The Woodlands, TX, USA, SPE 141929, 2011.
Soares, R. V., Maschio, C., and Schiozer, D. J.: A novel localization scheme
for scalar uncertainties in ensemble-based data assimilation methods, J. Petrol. Explor. Product. Technol., 9, 2497–2510, https://doi.org/10.1007/s13202-019-0727-5, 2019.
Song, X., Shi, L., Ye, M., Yang, J., and Navon, I. M.: Numerical Comparison
of Iterative Ensemble Kalman Filters for Unsaturated Flow Inverse Modeling,
Vadose Zone J., 13, 1–12, https://doi.org/10.2136/vzj2013.05.0083, 2014.
Tartakovsky, D. M. and Neuman, S. P.: Transient flow in bounded randomly
heterogeneous domains: 1. Exact conditional moment equations and recursive
approximations, Water Resour. Res., 34, 1–12, https://doi.org/10.1029/97WR02118, 1998a.
Tartakovsky, D. M. and Neuman, S. P.: Transient flow in bounded randomly
heterogeneous domains: 2. Localization of conditional moment equations and
temporal nonlocality effects, Water Resour. Res., 34, 13–20, 1998b.
Thiem, G.: Hydrologische methoden, J. M. Gebhart, Leipzig, Germany, p. 56, 1906.
Van Leeuwen, P. J. and Evensen, G.: Data assimilation and inverse methods in
terms of a probabilistic formulation, Mon. Weather Rev., 124, 2898–2913, 1996.
Wen, X.-H. and Chen, W. H.: Real-time reservoir model updating using ensemble Kalman Filter with confirming option, SPE J., 11, 431–442, 2006.
Winter, C. L. and Tartakovsky, D. M.: Mean flow in composite porous media,
Geophys. Res. Lett., 27, 1759–1762, 2000.
Winter, C. L. and Tartakovsky, D. M.: Groundwater flow in heterogeneous
composite aquifers, Water Resour. Res., 38, 1148, https://doi.org/10.1029/2001WR000450, 2002.
Winter, C. L., Tartakovsky, D. M., and Guadagnini, A.: Numerical solutions of moment equations for flow in heterogeneous composite aquifers, Water Resour. Res., 38, 13-1–13-8, https://doi.org/10.1029/2001WR000222, 2002.
Winter, C. L., Tartakovsky, D. M., and Guadagnini, A.: Moment Differential
Equations for Flow in Highly Heterogeneous Porous Media, Surv. Geophys., 24,
81–106, 2003.
Xia, C.-A., Hu, B. X., Tong, J., and Guadagnini, A.: Data Assimilation in
Density-Dependent Subsurface Flows via Localized Iterative Ensemble Kalman
Filter, Water Resour. Res., 54, 6259–6281, 2018.
Xia, C.-A., Guadagnini, A., Hu, B. X., Riva, M., and Ackerer, P.: Grid
convergence for numerical solutions of stochastic moment equations of
groundwater flow, Stoch. Env. Res. Risk A., 33, 1565–1579, https://doi.org/10.1007/s00477-019-01719-6, 2019.
Xia, C.-A., Pasetto, D., Hu, B. X., Putti, M., and Guadagnini, A.: Integration of moment equations in a reduced-order modeling strategy for Monte Carlo simulations of groundwater flow, J. Hydrol., 590, 125257, https://doi.org/10.1016/j.jhydrol.2020.125257, 2020.
Xu, T. and Gomez-Hernandez, J. J.: Simultaneous identification of a contaminant source and hydraulic conductivity via the restart normal-score
ensemble Kalman filter, Adv. Water Resour., 112, 106–123, 2018.
Ye, M., Neuman, S. P., Guadagnini, A., and Tartakovsky, D. M.: Nonlocal and
localized analyses of conditional mean transient flow in bounded, randomly
heterogeneous porous media, Water Resour. Res., 40, W05104,
https://doi.org/10.1029/2003WR002099, 2004.
Zha, Y. Y., Zhu, P. H., Zhang, Q. R., Mao, W., and Shi, L. S.: Investigation
of Data Assimilation Methods for Soil Parameter Estimation with Different
Types of Data, Vadose Zone J., 18, 190013, https://doi.org/10.2136/vzj2019.01.0013, 2019.
Zhang, D. X.: Stochastic methods for flow in porous media: Coping with
uncertainties, Academic Press, San Diego, CA, 2002.
Zhang, Z. Y., Jiang, X. W., Wang, X. S., Wan, L., and Wang, J. Z.: Why mixed
groundwater at the outlet of open flowing wells in unconfined-aquifer basins
can represent deep groundwater: implications for sampling in long-screen wells, Hydrogeol. J., 27, 409–421, 2019.
Zheng, Q., Zhang, J., Xu, W., Wu, L., and Zeng, L.: Adaptive Multifidelity
Data Assimilation for Nonlinear Subsurface Flow Problems, Water Resour. Res., 55, 203–217, 2019.
Zhou, H., Gomez-Hernandez, J. J., Hendricks Franssen, H.-J., and Li, L.: An
approach to handling non-Gaussianity of parameters and state variables in
ensemble Kalman filtering, Adv. Water Resour., 34, 844–864, 2011.
Zovi, F., Camporese, M., Franssen, H.-J. H., Huisman, J. A., and Salandin, P.: Identification of high-permeability subsurface structures with multiple
point geostatistics and normal score ensemble Kalman filter, J. Hydrol., 548, 208–224, 2017.
Short summary
Our study shows that (i) monitoring wells installed with packers provide the (overall) best conductivity estimates; (ii) conductivity estimates anchored on information from partially and fully screened wells are of similar quality; (iii) inflation of the measurement-error covariance matrix can improve conductivity estimates when a simplified flow model is adopted; and (iv) when compared to the MC-based EnKF, the MEs-based EnKF can efficiently and accurately estimate conductivity and head fields.
Our study shows that (i) monitoring wells installed with packers provide the (overall) best...
