Articles | Volume 24, issue 8
https://doi.org/10.5194/hess-24-3983-2020
© Author(s) 2020. 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-24-3983-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
18 Aug 2020
Research article |
| 18 Aug 2020
| 18 Aug 2020
New model of reactive transport in a single-well push–pull test with aquitard effect and wellbore storage
School of Environmental Studies, China University of Geosciences,
Wuhan, Hubei, 430074, PR China
Junxia Wang
School of Mathematics and Physics, China University of Geosciences,
Wuhan, Hubei, 430074, PR China
Hongbin Zhan
CORRESPONDING AUTHOR
Department of Geology and Geophysics, Texas A&M University,
College Station, Texas 77843-3115, USA
Wenguang Shi
School of Environmental Studies, China University of Geosciences,
Wuhan, Hubei, 430074, PR China
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Hydrol. Earth Syst. Sci., 28, 1317–1323, https://doi.org/10.5194/hess-28-1317-2024, https://doi.org/10.5194/hess-28-1317-2024, 2024
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1. A revised 3D model of solute transport is developed in the well–aquifer system. 2. The accuracy of the new model is tested against benchmark analytical solutions. 3. Previous models overestimate the concentration of solute in both aquifers and wellbores in the injection well test case. 4. Previous models underestimate the concentration in the extraction well test case.
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The mechanism of radial dispersion is important for understanding reactive transport in the subsurface and for estimating aquifer parameters required in the optimization design of remediation strategies. A general model and associated analytical solutions are developed in this study. The new model represents the most recent advancement on radial dispersion studies and incorporates a host of important processes that are not taken into consideration in previous investigations.
Yiqun Gan and Quanrong Wang
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1. A revised 3D model of solute transport is developed in the well–aquifer system. 2. The accuracy of the new model is tested against benchmark analytical solutions. 3. Previous models overestimate the concentration of solute in both aquifers and wellbores in the injection well test case. 4. Previous models underestimate the concentration in the extraction well test case.
Wenguang Shi, Quanrong Wang, Hongbin Zhan, Renjie Zhou, and Haitao Yan
Hydrol. Earth Syst. Sci., 27, 1891–1908, https://doi.org/10.5194/hess-27-1891-2023, https://doi.org/10.5194/hess-27-1891-2023, 2023
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The mechanism of radial dispersion is important for understanding reactive transport in the subsurface and for estimating aquifer parameters required in the optimization design of remediation strategies. A general model and associated analytical solutions are developed in this study. The new model represents the most recent advancement on radial dispersion studies and incorporates a host of important processes that are not taken into consideration in previous investigations.
Yiben Cheng, Wei Feng, Hongbin Zhan, Huijie Xiao, Zhiming Xin, and Wenbin Yang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2022-392, https://doi.org/10.5194/hess-2022-392, 2022
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Water is the most important limiting factor for plants in an arid region, and plants are often suffered from drought stress during their growth. To adapt to the arid environment, plants have developed certain ways to accommodate the harsh water-deficit environments. This complex relationship is difficult to measure in the field, but Sap Flow is easily found and correlated with water usage. Our results showed that Tamarisk leaves could absorb unsaturated water vapor and precipitation directly.
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Hydrol. Earth Syst. Sci., 26, 3359–3375, https://doi.org/10.5194/hess-26-3359-2022, https://doi.org/10.5194/hess-26-3359-2022, 2022
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Qinggao Feng, Xiaola Feng, and Hongbin Zhan
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Hydrol. Earth Syst. Sci., 23, 2207–2223, https://doi.org/10.5194/hess-23-2207-2019, https://doi.org/10.5194/hess-23-2207-2019, 2019
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Hydrol. Earth Syst. Sci., 21, 5031–5042, https://doi.org/10.5194/hess-21-5031-2017, https://doi.org/10.5194/hess-21-5031-2017, 2017
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Related subject area
Subject: Groundwater hydrology | Techniques and Approaches: Theory development
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The Thiem team – Adolf and Günther Thiem, two forefathers of hydrogeology
Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers
Depth to water table correction for initial carbon-14 activities in groundwater mean residence time estimation
Preferential pathways for fluid and solutes in heterogeneous groundwater systems: self-organization, entropy, work
Statistical characterization of environmental hot spots and hot moments and applications in groundwater hydrology
Technical note: Disentangling the groundwater response to Earth and atmospheric tides to improve subsurface characterisation
Flowing wells: terminology, history and role in the evolution of groundwater science
Asymmetric impact of groundwater use on groundwater droughts
HESS Opinions: The myth of groundwater sustainability in Asia
Groundwater salinity variation in Upazila Assasuni (southwestern Bangladesh), as steered by surface clay layer thickness, relative elevation and present-day land use
Changes in groundwater drought associated with anthropogenic warming
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Effects of microarrangement of solid particles on PCE migration and its remediation in porous media
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Tom Müller, Stuart N. Lane, and Bettina Schaefli
Hydrol. Earth Syst. Sci., 26, 6029–6054, https://doi.org/10.5194/hess-26-6029-2022, https://doi.org/10.5194/hess-26-6029-2022, 2022
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This research provides a comprehensive analysis of groundwater storage in Alpine glacier forefields, a zone rapidly evolving with glacier retreat. Based on data analysis of a case study, it provides a simple perceptual model showing where and how groundwater is stored and released in a high Alpine environment. It especially points out the presence of groundwater storages in both fluvial and bedrock aquifers, which may become more important with future glacier retreat.
Jie Yang, Qiaoyu Wang, Ingo Heidbüchel, Chunhui Lu, Yueqing Xie, Andreas Musolff, and Jan H. Fleckenstein
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We assessed the effect of catchment topographic slopes on the nitrate export dynamics in terms of the nitrogen mass fluxes and concentration level using a coupled surface–subsurface model. We found that flatter landscapes tend to retain more nitrogen mass in the soil and export less nitrogen mass to the stream, explained by the reduced leaching and increased potential of degradation in flat landscapes. We emphasized that stream water quality is potentially less vulnerable in flatter landscapes.
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This work aims to develop the Transit Time index (TTi) as a natural tracer of karst groundwater transit time, usable in the 0–6-month range. Based on the fluorescence of organic matter, TTi shows its relevance to detect a small proportion of fast infiltration water within a mix, while other natural transit time tracers provide no or less sensitive information. Comparison of the average TTi of different karst springs also provides consistent results with the expected relative transit times.
Gabriel C. Rau, Timothy C. McMillan, Martin S. Andersen, and Wendy A. Timms
Hydrol. Earth Syst. Sci., 26, 4301–4321, https://doi.org/10.5194/hess-26-4301-2022, https://doi.org/10.5194/hess-26-4301-2022, 2022
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This work develops and applies a new method to estimate hydraulic and geomechanical subsurface properties in situ using standard groundwater and atmospheric pressure records. The estimated properties comply with expected values except for the Poisson ratio, which we attribute to the investigated scale and conditions. Our new approach can be used to cost-effectively investigate the subsurface using standard monitoring datasets.
Georg J. Houben and Okke Batelaan
Hydrol. Earth Syst. Sci., 26, 4055–4091, https://doi.org/10.5194/hess-26-4055-2022, https://doi.org/10.5194/hess-26-4055-2022, 2022
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Unbeknown to most hydrologists, many methods used in groundwater hydrology today go back to work by Adolf and Günther Thiem. Their work goes beyond the Dupuit–Thiem analytical model for pump tests mentioned in many textbooks. It includes, e.g., the development and improvement of isopotential maps, tracer tests, and vertical well constructions. Extensive literature and archive research has been conducted to identify how and where the Thiems developed their methods and how they spread.
Zhaoyang Luo, Jun Kong, Chengji Shen, Pei Xin, Chunhui Lu, Ling Li, and David Andrew Barry
Hydrol. Earth Syst. Sci., 25, 6591–6602, https://doi.org/10.5194/hess-25-6591-2021, https://doi.org/10.5194/hess-25-6591-2021, 2021
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Analytical solutions are derived for steady-state seawater intrusion in annulus segment aquifers. These analytical solutions are validated by comparing their predictions with experimental data. We find seawater intrusion is the most extensive in divergent aquifers, and the opposite is the case for convergent aquifers. The analytical solutions facilitate engineers and hydrologists in evaluating seawater intrusion more efficiently in annulus segment aquifers with a complex geometry.
Dylan J. Irvine, Cameron Wood, Ian Cartwright, and Tanya Oliver
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It is widely assumed that 14C is in contact with the atmosphere until recharging water reaches the water table. Unsaturated zone (UZ) studies have shown that 14C decreases with depth below the land surface. We produce a relationship between UZ 14C and depth to the water table to estimate input 14C activities for groundwater age estimation. Application of the new relationship shows that it is important for UZ processes to be considered in groundwater mean residence time estimation.
Erwin Zehe, Ralf Loritz, Yaniv Edery, and Brian Berkowitz
Hydrol. Earth Syst. Sci., 25, 5337–5353, https://doi.org/10.5194/hess-25-5337-2021, https://doi.org/10.5194/hess-25-5337-2021, 2021
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This study uses the concepts of entropy and work to quantify and explain the emergence of preferential flow and transport in heterogeneous saturated porous media. We found that the downstream concentration of solutes in preferential pathways implies a downstream declining entropy in the transverse distribution of solute transport pathways. Preferential flow patterns with lower entropies emerged within media of higher heterogeneity – a stronger self-organization despite a higher randomness.
Jiancong Chen, Bhavna Arora, Alberto Bellin, and Yoram Rubin
Hydrol. Earth Syst. Sci., 25, 4127–4146, https://doi.org/10.5194/hess-25-4127-2021, https://doi.org/10.5194/hess-25-4127-2021, 2021
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We developed a stochastic framework with indicator random variables to characterize the spatiotemporal distribution of environmental hot spots and hot moments (HSHMs) that represent rare locations and events exerting a disproportionate influence over the environment. HSHMs are characterized by static and dynamic indicators. This framework is advantageous as it allows us to calculate the uncertainty associated with HSHMs based on uncertainty associated with its contributors.
Gabriel C. Rau, Mark O. Cuthbert, R. Ian Acworth, and Philipp Blum
Hydrol. Earth Syst. Sci., 24, 6033–6046, https://doi.org/10.5194/hess-24-6033-2020, https://doi.org/10.5194/hess-24-6033-2020, 2020
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This work provides an important generalisation of a previously developed method that quantifies subsurface barometric efficiency using the groundwater level response to Earth and atmospheric tides. The new approach additionally allows the quantification of hydraulic conductivity and specific storage. This enables improved and rapid assessment of subsurface processes and properties using standard pressure measurements.
Xiao-Wei Jiang, John Cherry, and Li Wan
Hydrol. Earth Syst. Sci., 24, 6001–6019, https://doi.org/10.5194/hess-24-6001-2020, https://doi.org/10.5194/hess-24-6001-2020, 2020
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The gushing of water from flowing wells is a natural phenomenon of interest to the public. This review demonstrates that this spectacular phenomenon also instigated the science of groundwater and can be considered a root of groundwater hydrology. Observations of flowing wells not only led to the foundation of many principles of traditional groundwater hydrology but also played a vital role in the paradigm shift from aquitard-bound flow to cross-formational flow driven by topography.
Doris E. Wendt, Anne F. Van Loon, John P. Bloomfield, and David M. Hannah
Hydrol. Earth Syst. Sci., 24, 4853–4868, https://doi.org/10.5194/hess-24-4853-2020, https://doi.org/10.5194/hess-24-4853-2020, 2020
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Groundwater use changes the availability of groundwater, especially during droughts. This study investigates the impact of groundwater use on groundwater droughts. A methodological framework is presented that was developed and applied to the UK. We identified an asymmetric impact of groundwater use on droughts, which highlights the relation between short-term and long-term strategies for sustainable groundwater use.
Franklin W. Schwartz, Ganming Liu, and Zhongbo Yu
Hydrol. Earth Syst. Sci., 24, 489–500, https://doi.org/10.5194/hess-24-489-2020, https://doi.org/10.5194/hess-24-489-2020, 2020
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We are concerned about the sad state of affairs around groundwater in the developing countries of Asia and the obvious implications for sustainability. Groundwater production for irrigated agriculture has led to water-level declines that continue to worsen. Yet in the most populous countries, China, India, Pakistan, and Iran, there are only token efforts towards evidence-based sustainable management. It is unrealistic to expect evidence-based groundwater sustainability to develop any time soon.
Floris Loys Naus, Paul Schot, Koos Groen, Kazi Matin Ahmed, and Jasper Griffioen
Hydrol. Earth Syst. Sci., 23, 1431–1451, https://doi.org/10.5194/hess-23-1431-2019, https://doi.org/10.5194/hess-23-1431-2019, 2019
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In this paper, we postulate a possible evolution of the groundwater salinity around a village in southwestern Bangladesh, based on high-density fieldwork. We identified that the thickness of the surface clay layer, the surface elevation and the present-day land use determine whether fresh or saline groundwater has formed. The outcomes show how the large groundwater salinity variation in southwestern Bangladesh can be understood, which is valuable for the water management in the region.
John P. Bloomfield, Benjamin P. Marchant, and Andrew A. McKenzie
Hydrol. Earth Syst. Sci., 23, 1393–1408, https://doi.org/10.5194/hess-23-1393-2019, https://doi.org/10.5194/hess-23-1393-2019, 2019
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Groundwater is susceptible to drought due to natural variations in climate; however, to date there is no evidence of a relationship between climate change and groundwater drought. Using two long groundwater level records from the UK, we document increases in frequency, magnitude and intensity and changes in duration of groundwater drought associated with climate warming and infer that, given the extent of shallow groundwater globally, warming may widely effect changes to groundwater droughts.
Bin Ma, Menggui Jin, Xing Liang, and Jing Li
Hydrol. Earth Syst. Sci., 23, 427–446, https://doi.org/10.5194/hess-23-427-2019, https://doi.org/10.5194/hess-23-427-2019, 2019
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Groundwater supplies the most freshwater for industrial and agricultural production and domestic use in the arid northwest of China. This research uses environmental tracers to enhance one's understanding of groundwater, including aquifer recharge sources and groundwater mean residence times in the alluvium aquifers. The results provide valuable implications for groundwater resources regulation and sustainable development and have practical significance for other arid areas.
Hubert H. G. Savenije
Hydrol. Earth Syst. Sci., 22, 1911–1916, https://doi.org/10.5194/hess-22-1911-2018, https://doi.org/10.5194/hess-22-1911-2018, 2018
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This paper provides the connection between two simple equations describing groundwater flow at different scales: the Darcy equation describes groundwater flow at pore scale, the linear reservoir equation at catchment scale. The connection between the two appears to be very simple. The two parameters of the equations are proportional, depending on the porosity of the subsoil and the resistance for the groundwater to enter the surface drainage network.
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.
Rui Ma, Ziyong Sun, Yalu Hu, Qixin Chang, Shuo Wang, Wenle Xing, and Mengyan Ge
Hydrol. Earth Syst. Sci., 21, 4803–4823, https://doi.org/10.5194/hess-21-4803-2017, https://doi.org/10.5194/hess-21-4803-2017, 2017
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The roles of groundwater flow in the hydrological cycle within the alpine area characterized by permafrost or seasonal frost are poorly known. We investigated the role of permafrost in controlling groundwater flow and hydrological connections between glaciers and river. The recharge, flow path and discharge of permafrost groundwater at the study site were explored. Two mechanisms were proposed to explain the significantly seasonal variation in interaction between groundwater and surface water.
Bing Zhang, Jing Zhang, and Takafumi Yoshida
Hydrol. Earth Syst. Sci., 21, 3417–3425, https://doi.org/10.5194/hess-21-3417-2017, https://doi.org/10.5194/hess-21-3417-2017, 2017
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Since groundwater is the linkage between climate changes and fresh submarine groundwater discharge, the variations of and relationships among monthly groundwater table, rainfall, snowfall, and climate change events from 1985 to 2015 were analyzed by wavelet coherence to discuss the implications for climate changes. The results show the increase in precipitation and the groundwater table, indicating that fresh submarine groundwater discharge flux may increase under climate change.
Koen Gerardus Zuurbier and Pieter Jan Stuyfzand
Hydrol. Earth Syst. Sci., 21, 1173–1188, https://doi.org/10.5194/hess-21-1173-2017, https://doi.org/10.5194/hess-21-1173-2017, 2017
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The subsurface is increasingly perforated for exploitation of water and energy. This has increased the risk of leakage between originally separated aquifers. It is shown how this leakage can have a very negative impact on the recovery of freshwater during aquifer storage and recovery (ASR) in brackish-saline aquifers. Deep interception of intruding brackish-saline water can mitigate the negative effects and buoyancy of freshwater to some extent, but not completely.
Ulrike Unterbruner, Sylke Hilberg, and Iris Schiffl
Hydrol. Earth Syst. Sci., 20, 2251–2266, https://doi.org/10.5194/hess-20-2251-2016, https://doi.org/10.5194/hess-20-2251-2016, 2016
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Studies show that young people have difficulties with correctly understanding groundwater. We designed a multimedia learning program about groundwater and tested its learning efficacy with pupils and teacher-training students. A novelty is the theory-guided designing of the program on the basis of hydrogeology and science education. The pupils and students greatly benefited from working through the multimedia learning program.
Kosta Urumović and Kosta Urumović Sr.
Hydrol. Earth Syst. Sci., 20, 1669–1680, https://doi.org/10.5194/hess-20-1669-2016, https://doi.org/10.5194/hess-20-1669-2016, 2016
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Calculation of hydraulic conductivity of porous materials is crucial for further use in hydrogeological modeling. The Kozeny–Carman model is theoretically impeccable but has not been properly used in recent scientific and expert literature. In this paper, proper use of the Kozeny-Carman formula is given through presentation of geometric mean grain size in the drilled-core sample as the referential mean grain size. Also, procedures for identification of real effective porosity of porous media are presented.
C.-S. Huang, J.-J. Chen, and H.-D. Yeh
Hydrol. Earth Syst. Sci., 20, 55–71, https://doi.org/10.5194/hess-20-55-2016, https://doi.org/10.5194/hess-20-55-2016, 2016
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Existing solutions for the problem of pumping at a radial collector well (RCW) in unconfined aquifers either require laborious calculation or predict divergent results at a middle period of pumping. This study relaxes the above two limitations to develop a new analytical solution for the problem. The application of the solution is convenient for those who are not familiar with numerical methods. New findings regarding the responses of flow to pumping at RCW are addressed.
R. A. Crane, M. O. Cuthbert, and W. Timms
Hydrol. Earth Syst. Sci., 19, 3991–4000, https://doi.org/10.5194/hess-19-3991-2015, https://doi.org/10.5194/hess-19-3991-2015, 2015
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We present an interrupted-flow centrifugation technique to characterise the vertical hydraulic properties of dual porosity, low permeability media. Use of large core samples (100mm diameter) enables hydraulic-conductivity-scale issues in dual porosity media to be overcome. Elevated centrifugal force also enables simulating in situ total stress conditions. The methodology is an important tool to assess the ability of dual porosity aquitards to protect underlying aquifer systems.
B. L. Kurylyk, K. T. B. MacQuarrie, D. Caissie, and J. M. McKenzie
Hydrol. Earth Syst. Sci., 19, 2469–2489, https://doi.org/10.5194/hess-19-2469-2015, https://doi.org/10.5194/hess-19-2469-2015, 2015
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Changes in climate and land cover are known to warm streams by altering surface heat fluxes. However, the influence of these disturbances on shallow groundwater temperature are not as well understood. In small streams, groundwater discharge may also exert a control on stream temperature, and thus groundwater warming may eventually produce additional stream warming not considered in most existing models. This study investigates these processes and suggests stream temperature model improvements.
S. Luoma, J. Okkonen, K. Korkka-Niemi, N. Hendriksson, and B. Backman
Hydrol. Earth Syst. Sci., 19, 1353–1370, https://doi.org/10.5194/hess-19-1353-2015, https://doi.org/10.5194/hess-19-1353-2015, 2015
N. P. Unland, I. Cartwright, D. I. Cendón, and R. Chisari
Hydrol. Earth Syst. Sci., 18, 5109–5124, https://doi.org/10.5194/hess-18-5109-2014, https://doi.org/10.5194/hess-18-5109-2014, 2014
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Periodic flooding of rivers should result in increased groundwater recharge near rivers and thus - younger and fresher groundwater near rivers. This study found the age and salinity of shallow groundwater to increase with proximity to the Tambo River in South East Australia. This appears to be due to the upwelling of older, regional groundwater closer the river. Other chemical parameters are consistent with this. This is a process that may be occurring in other similar river systems.
A. P. Atkinson, I. Cartwright, B. S. Gilfedder, D. I. Cendón, N. P. Unland, and H. Hofmann
Hydrol. Earth Syst. Sci., 18, 4951–4964, https://doi.org/10.5194/hess-18-4951-2014, https://doi.org/10.5194/hess-18-4951-2014, 2014
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This research article uses of radiogenic isotopes, stable isotopes and groundwater geochemistry to study groundwater age and recharge processes in the Gellibrand Valley, a relatively unstudied catchment and potential groundwater resource. The valley is found to contain both "old", regionally recharged groundwater (300-10,000 years) in the near-river environment, and modern groundwater (0-100 years old) further back on the floodplain. There is no recharge of the groundwater by high river flows.
U. Lauber, P. Kotyla, D. Morche, and N. Goldscheider
Hydrol. Earth Syst. Sci., 18, 4437–4452, https://doi.org/10.5194/hess-18-4437-2014, https://doi.org/10.5194/hess-18-4437-2014, 2014
M. Huebsch, O. Fenton, B. Horan, D. Hennessy, K. G. Richards, P. Jordan, N. Goldscheider, C. Butscher, and P. Blum
Hydrol. Earth Syst. Sci., 18, 4423–4435, https://doi.org/10.5194/hess-18-4423-2014, https://doi.org/10.5194/hess-18-4423-2014, 2014
S. Hergarten, G. Winkler, and S. Birk
Hydrol. Earth Syst. Sci., 18, 4277–4288, https://doi.org/10.5194/hess-18-4277-2014, https://doi.org/10.5194/hess-18-4277-2014, 2014
M. Attwa and T. Günther
Hydrol. Earth Syst. Sci., 17, 4079–4094, https://doi.org/10.5194/hess-17-4079-2013, https://doi.org/10.5194/hess-17-4079-2013, 2013
C. Schmidt, A. Musolff, N. Trauth, M. Vieweg, and J. H. Fleckenstein
Hydrol. Earth Syst. Sci., 16, 3689–3697, https://doi.org/10.5194/hess-16-3689-2012, https://doi.org/10.5194/hess-16-3689-2012, 2012
T. Gleeson, D. M. Allen, and G. Ferguson
Hydrol. Earth Syst. Sci., 16, 2159–2168, https://doi.org/10.5194/hess-16-2159-2012, https://doi.org/10.5194/hess-16-2159-2012, 2012
G. H. de Rooij
Hydrol. Earth Syst. Sci., 16, 649–669, https://doi.org/10.5194/hess-16-649-2012, https://doi.org/10.5194/hess-16-649-2012, 2012
B. Hubinger and S. Birk
Hydrol. Earth Syst. Sci., 15, 3715–3729, https://doi.org/10.5194/hess-15-3715-2011, https://doi.org/10.5194/hess-15-3715-2011, 2011
E. Joigneaux, P. Albéric, H. Pauwels, C. Pagé, L. Terray, and A. Bruand
Hydrol. Earth Syst. Sci., 15, 2459–2470, https://doi.org/10.5194/hess-15-2459-2011, https://doi.org/10.5194/hess-15-2459-2011, 2011
P.-R. Tsou, Z.-Y. Feng, H.-D. Yeh, and C.-S. Huang
Hydrol. Earth Syst. Sci., 14, 1477–1485, https://doi.org/10.5194/hess-14-1477-2010, https://doi.org/10.5194/hess-14-1477-2010, 2010
Y.-C. Chang, D.-S. Jeng, and H.-D. Yeh
Hydrol. Earth Syst. Sci., 14, 1341–1351, https://doi.org/10.5194/hess-14-1341-2010, https://doi.org/10.5194/hess-14-1341-2010, 2010
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