Articles | Volume 20, issue 3
https://doi.org/10.5194/hess-20-1225-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/hess-20-1225-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate in unconfined aquifers
Chia-Hao Chang
Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
Ching-Sheng Huang
Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
Hund-Der Yeh
CORRESPONDING AUTHOR
Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
Related authors
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Ching-Sheng Huang, Ya-Hsin Tsai, Hund-Der Yeh, and Tao Yang
Hydrol. Earth Syst. Sci., 23, 1323–1337, https://doi.org/10.5194/hess-23-1323-2019, https://doi.org/10.5194/hess-23-1323-2019, 2019
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The study develops a new model describing head fluctuation induced by oscillatory pumping test (OPT) in an unconfined aquifer with effects of delayed gravity drainage (DGD) and initial condition regarding the hydraulic head prior to OPT. The DGD reduces to instantaneous gravity drainage when a dimensionless parameter exceeds 500. A pseudo-steady-state model excluding initial condition causes a time-shift from the actual transient model in predicting simple harmonic motion of head fluctuation.
Chia-Hao Chang, Ching-Sheng Huang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 22, 3951–3963, https://doi.org/10.5194/hess-22-3951-2018, https://doi.org/10.5194/hess-22-3951-2018, 2018
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Existing analytical solutions associated with groundwater recharge are only applicable to the studies of saturated flow in aquifers. This paper develops an analytical solution for 3-D unsaturated–saturated flow due to localized recharge into an unconfined aquifer. The effects of unsaturated flow on the recharge process are analyzed. The present solution agrees well with a finite-difference solution. The solution’s predictions also match well with observed data obtained by a field experiment.
Ching-Sheng Huang, Ya-Hsin Tsai, Hund-Der Yeh, and Tao Yang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2018-199, https://doi.org/10.5194/hess-2018-199, 2018
Manuscript not accepted for further review
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A number of analytical models are presented for the analyses of oscillatory pumping test (OPT). The effects of wellbore storage and initial condition regarding the hydraulic head prior to OPT are commonly neglected in existing models. This study aims to develop a new model describing head fluctuation induced by OPT in unconfined aquifers. The effects are analyzed using the analytical solution of the model. Solution prediction agrees well to head fluctuation data observed at a field experiment.
Chao-Chih Lin, Ya-Chi Chang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 22, 2359–2375, https://doi.org/10.5194/hess-22-2359-2018, https://doi.org/10.5194/hess-22-2359-2018, 2018
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An semanalytical model is developed for estimating the groundwater flow and stream depletion rates (SDR) from two streams in an L-shaped fluvial aquifer located at Gyeonggi-do, Korea. The predicted spatial and temporal hydraulic heads agree well with those of simulations and measurements. The model can be applied to evaluate the contribution of extracted water from storage and nearby streams.
Ching-Min Chang and Hund-Der Yeh
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-19, https://doi.org/10.5194/hess-2017-19, 2017
Revised manuscript not accepted
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.
C.-S. Huang, S.-Y. Yang, and H.-D. Yeh
Hydrol. Earth Syst. Sci., 19, 2639–2647, https://doi.org/10.5194/hess-19-2639-2015, https://doi.org/10.5194/hess-19-2639-2015, 2015
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Existing solutions for the problem of constant-flux pumping (CFP) in a two-zone confined aquifer involve laborious calculation. This study develops a new approximate solution for the problem. The solution is in terms of a simple series expanded by integers and thus very convenient for those who are not familiar with numerical methods. A quantitative criterion for the validity of neglecting the vertical flow component due to a partially penetrating well is provided.
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 19, 2505–2511, https://doi.org/10.5194/hess-19-2505-2015, https://doi.org/10.5194/hess-19-2505-2015, 2015
Related subject area
Subject: Groundwater hydrology | Techniques and Approaches: Mathematical applications
Technical note: Removing dynamic sea-level influences from groundwater-level measurements
Estimating karst groundwater recharge from soil moisture observations – a new method tested at the Swabian Alb, southwest Germany
Present and future thermal regimes of intertidal groundwater springs in a threatened coastal ecosystem
Understanding the potential of climate teleconnections to project future groundwater drought
Sources and fate of nitrate in groundwater at agricultural operations overlying glacial sediments
Contaminant source localization via Bayesian global optimization
Analysis of three-dimensional unsaturated–saturated flow induced by localized recharge in unconfined aquifers
Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers
On the coupled unsaturated–saturated flow process induced by vertical, horizontal, and slant wells in unconfined aquifers
Thermal damping and retardation in karst conduits
Large-scale 3-D modeling by integration of resistivity models and borehole data through inversion
Estimation of heterogeneous aquifer parameters using centralized and decentralized fusion of hydraulic tomography data
Analysis of groundwater drought building on the standardised precipitation index approach
Anomalous frequency characteristics of groundwater level before major earthquakes in Taiwan
Transient drawdown solution for a constant pumping test in finite two-zone confined aquifers
Scale dependency of fractional flow dimension in a fractured formation
Groundwater fluctuations in heterogeneous coastal leaky aquifer systems
Application of integral pumping tests to investigate the influence of a losing stream on groundwater quality
Patrick Haehnel, Todd C. Rasmussen, and Gabriel C. Rau
Hydrol. Earth Syst. Sci., 28, 2767–2784, https://doi.org/10.5194/hess-28-2767-2024, https://doi.org/10.5194/hess-28-2767-2024, 2024
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While groundwater recharge is important for water resources management, nearshore sea levels can obscure this signal. Regression deconvolution has previously been used to remove other influences from groundwater levels (e.g., barometric pressure, Earth tides) by accounting for time-delayed responses from these influences. We demonstrate that it can also remove sea-level influences from measured groundwater levels.
Romane Berthelin, Tunde Olarinoye, Michael Rinderer, Matías Mudarra, Dominic Demand, Mirjam Scheller, and Andreas Hartmann
Hydrol. Earth Syst. Sci., 27, 385–400, https://doi.org/10.5194/hess-27-385-2023, https://doi.org/10.5194/hess-27-385-2023, 2023
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Karstic recharge processes have mainly been explored using discharge analysis despite the high influence of the heterogeneous surface on hydrological processes. In this paper, we introduce an event-based method which allows for recharge estimation from soil moisture measurements. The method was tested at a karst catchment in Germany but can be applied to other karst areas with precipitation and soil moisture data available. It will allow for a better characterization of karst recharge processes.
Jason J. KarisAllen, Aaron A. Mohammed, Joseph J. Tamborski, Rob C. Jamieson, Serban Danielescu, and Barret L. Kurylyk
Hydrol. Earth Syst. Sci., 26, 4721–4740, https://doi.org/10.5194/hess-26-4721-2022, https://doi.org/10.5194/hess-26-4721-2022, 2022
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We used a combination of aerial, thermal, hydrologic, and radionuclide monitoring to investigate intertidal springs flowing into a coastal lagoon with a threatened ecosystem. Field data highlight the critical hydrologic and thermal role of these springs in the nearshore zone, and modelling results reveal that the groundwater springs will likely warm substantially in the coming decades due to climate change. Springs sourced from shallower zones in the aquifer will warm first.
William Rust, Ian Holman, John Bloomfield, Mark Cuthbert, and Ron Corstanje
Hydrol. Earth Syst. Sci., 23, 3233–3245, https://doi.org/10.5194/hess-23-3233-2019, https://doi.org/10.5194/hess-23-3233-2019, 2019
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We show that major groundwater resources in the UK exhibit strong multi-year cycles, accounting for up to 40 % of total groundwater level variability. By comparing these cycles with recorded widespread groundwater droughts over the past 60 years, we provide evidence that climatic systems (such as the North Atlantic Oscillation) ultimately drive drought-risk periods in UK groundwater. The recursive nature of these drought-risk periods may lead to improved preparedness for future droughts.
Sarah A. Bourke, Mike Iwanyshyn, Jacqueline Kohn, and M. Jim Hendry
Hydrol. Earth Syst. Sci., 23, 1355–1373, https://doi.org/10.5194/hess-23-1355-2019, https://doi.org/10.5194/hess-23-1355-2019, 2019
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Agricultural operations can result in nitrate contamination of groundwater, lakes and streams. At two confined feeding operations in Alberta, Canada, nitrate in groundwater from temporary manure piles and pens exceeded nitrate from earthen manure storages. Identified denitrification reduced agriculturally derived nitrate concentrations in groundwater by at least half. Infiltration to groundwater systems where nitrate can be naturally attenuated is likely preferable to off-farm export via runoff.
Guillaume Pirot, Tipaluck Krityakierne, David Ginsbourger, and Philippe Renard
Hydrol. Earth Syst. Sci., 23, 351–369, https://doi.org/10.5194/hess-23-351-2019, https://doi.org/10.5194/hess-23-351-2019, 2019
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To localize the source of a contaminant in the subsurface, based on concentration observations at some wells, we propose to test different possible locations and minimize the misfit between observed and simulated concentrations. We use a global optimization technique that relies on an expected improvement criterion, which allows a good exploration of the parameter space, avoids the trapping of local minima and quickly localizes the source of the contaminant on the presented synthetic cases.
Chia-Hao Chang, Ching-Sheng Huang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 22, 3951–3963, https://doi.org/10.5194/hess-22-3951-2018, https://doi.org/10.5194/hess-22-3951-2018, 2018
Short summary
Short summary
Existing analytical solutions associated with groundwater recharge are only applicable to the studies of saturated flow in aquifers. This paper develops an analytical solution for 3-D unsaturated–saturated flow due to localized recharge into an unconfined aquifer. The effects of unsaturated flow on the recharge process are analyzed. The present solution agrees well with a finite-difference solution. The solution’s predictions also match well with observed data obtained by a field experiment.
Chao-Chih Lin, Ya-Chi Chang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 22, 2359–2375, https://doi.org/10.5194/hess-22-2359-2018, https://doi.org/10.5194/hess-22-2359-2018, 2018
Short summary
Short summary
An semanalytical model is developed for estimating the groundwater flow and stream depletion rates (SDR) from two streams in an L-shaped fluvial aquifer located at Gyeonggi-do, Korea. The predicted spatial and temporal hydraulic heads agree well with those of simulations and measurements. The model can be applied to evaluate the contribution of extracted water from storage and nearby streams.
Xiuyu Liang, Hongbin Zhan, You-Kuan Zhang, and Jin Liu
Hydrol. Earth Syst. Sci., 21, 1251–1262, https://doi.org/10.5194/hess-21-1251-2017, https://doi.org/10.5194/hess-21-1251-2017, 2017
A. J. Luhmann, M. D. Covington, J. M. Myre, M. Perne, S. W. Jones, E. C. Alexander Jr., and M. O. Saar
Hydrol. Earth Syst. Sci., 19, 137–157, https://doi.org/10.5194/hess-19-137-2015, https://doi.org/10.5194/hess-19-137-2015, 2015
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Water temperature is a non-conservative tracer. Variations in recharge temperature are damped and retarded as water moves through an aquifer due to heat exchange between water and rock. This paper presents relationships that describe thermal damping and retardation in karst conduits determined using analytical solutions and numerical simulations, with some support provided by field data. These relationships may be used with field data to estimate unknown flow path geometry in karst aquifers.
N. Foged, P. A. Marker, A. V. Christansen, P. Bauer-Gottwein, F. Jørgensen, A.-S. Høyer, and E. Auken
Hydrol. Earth Syst. Sci., 18, 4349–4362, https://doi.org/10.5194/hess-18-4349-2014, https://doi.org/10.5194/hess-18-4349-2014, 2014
A. H. Alzraiee, D. Baú, and A. Elhaddad
Hydrol. Earth Syst. Sci., 18, 3207–3223, https://doi.org/10.5194/hess-18-3207-2014, https://doi.org/10.5194/hess-18-3207-2014, 2014
J. P. Bloomfield and B. P. Marchant
Hydrol. Earth Syst. Sci., 17, 4769–4787, https://doi.org/10.5194/hess-17-4769-2013, https://doi.org/10.5194/hess-17-4769-2013, 2013
C.-H. Chen, C.-H. Wang, S. Wen, T.-K. Yeh, C.-H. Lin, J.-Y. Liu, H.-Y. Yen, C. Lin, R.-J. Rau, and T.-W. Lin
Hydrol. Earth Syst. Sci., 17, 1693–1703, https://doi.org/10.5194/hess-17-1693-2013, https://doi.org/10.5194/hess-17-1693-2013, 2013
C.-T. Wang, H.-D. Yeh, and C.-S. Tsai
Hydrol. Earth Syst. Sci., 16, 441–449, https://doi.org/10.5194/hess-16-441-2012, https://doi.org/10.5194/hess-16-441-2012, 2012
Y.-C. Chang, H.-D. Yeh, K.-F. Liang, and M.-C. T. Kuo
Hydrol. Earth Syst. Sci., 15, 2165–2178, https://doi.org/10.5194/hess-15-2165-2011, https://doi.org/10.5194/hess-15-2165-2011, 2011
M.-H. Chuang, C.-S. Huang, G.-H. Li, and H.-D. Yeh
Hydrol. Earth Syst. Sci., 14, 1819–1826, https://doi.org/10.5194/hess-14-1819-2010, https://doi.org/10.5194/hess-14-1819-2010, 2010
S. Leschik, A. Musolff, R. Krieg, M. Martienssen, M. Bayer-Raich, F. Reinstorf, G. Strauch, and M. Schirmer
Hydrol. Earth Syst. Sci., 13, 1765–1774, https://doi.org/10.5194/hess-13-1765-2009, https://doi.org/10.5194/hess-13-1765-2009, 2009
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Short summary
Most previous solutions for groundwater flow due to localized recharge assumed either aquifer incompressibility or 2-D flow without vertical flow. This paper develops a 3-D flow model for hydraulic head change induced by the recharge with random transient rates in a compressible unconfined aquifer. The analytical solution of the model for the head is derived. The quantitative criteria for the validity of those two assumptions are presented by the developed solution.
Most previous solutions for groundwater flow due to localized recharge assumed either aquifer...