Articles | Volume 22, issue 7
https://doi.org/10.5194/hess-22-3951-2018
© Author(s) 2018. 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-22-3951-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Analysis of three-dimensional unsaturated–saturated flow induced by localized recharge in unconfined aquifers
Chia-Hao Chang
Institute of Environmental Engineering, National Chiao Tung
University, Hsinchu, Taiwan
Ching-Sheng Huang
State Key Laboratory of Hydrology-Water Resources and Hydraulic
Engineering, Center for Global Change and Water Cycle, Hohai University,
Nanjing, China
Hund-Der Yeh
CORRESPONDING AUTHOR
Institute of Environmental Engineering, National Chiao Tung
University, Hsinchu, Taiwan
Related authors
No articles found.
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
Short summary
Short summary
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.
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
Short summary
Short summary
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
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.
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
Chia-Hao Chang, Ching-Sheng Huang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 20, 1225–1239, https://doi.org/10.5194/hess-20-1225-2016, https://doi.org/10.5194/hess-20-1225-2016, 2016
Short summary
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.
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
Short summary
Short summary
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
Short summary
Short summary
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 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
Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate 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
Short summary
Short summary
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
Short summary
Short summary
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
Short summary
Short summary
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
Short summary
Short summary
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
Short summary
Short summary
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
Short summary
Short summary
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.
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
Chia-Hao Chang, Ching-Sheng Huang, and Hund-Der Yeh
Hydrol. Earth Syst. Sci., 20, 1225–1239, https://doi.org/10.5194/hess-20-1225-2016, https://doi.org/10.5194/hess-20-1225-2016, 2016
Short summary
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.
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
Short summary
Short summary
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
Cited articles
Bansal, R. K. and Teloglou, I. S.: An analytical study of groundwater
fluctuations in unconfined leaky aquifers induced by multiple localized
recharge and withdrawal, Global Nest J., 15, 394–407, 2013.
Batu, V.: Flow net for unsaturated infiltration from periodic strip sources,
Water Resour. Res., 16, 284–288, 1980.
Bear, J.: Hydraulics of Groundwater, McGraw-Hill, New York, 1979.
Bianchi, W. C. and Haskell, E. E.: Field observations compared with
Dupuit-Forchheimer theory for mound heights under a recharge basin, Water
Resour. Res., 4, 1049–1057, https://doi.org/10.1029/WR004i005p01049, 1968.
Chang, C.-H., Huang, C.-S., and Yeh, H.-D.: Technical Note: Three-dimensional
transient groundwater flow due to localized recharge with an arbitrary
transient rate in unconfined aquifers, Hydrol. Earth Syst. Sci., 20,
1225–1239, https://doi.org/10.5194/hess-20-1225-2016, 2016.
Chang, Y. C. and Yeh, H. D.: Analytical solution for groundwater flow in an
anisotropic sloping aquifer with arbitrarily located multiwells, J. Hydrol.,
347, 143–152, 2007.
Chen, J. M., Tan, Y. C., Chen, C. H., and Parlange, J. Y.: Analytical
solutions for linearized Richards' equation with arbitrary time-dependent
surface fluxes, Water Resour. Res., 37, 1091–1093, 2001a.
Chen, J. M., Tan, Y. C., and Chen, C. H.: Multidimensional infiltration with
arbitrary surface fluxes, J. Irrig. Drain. E-Asce, 127, 370–377,
https://doi.org/10.1061/(asce)0733-9437(2001)127:6(370), 2001b.
Freeze, R. A. and Cherry, J. A.: Groundwater, Prentice-Hall, Englewood
Cliffs, New Jersey, 1979.
Gardner, W. R.: Some steady-state solutions of the unsaturated moisture flow
equation with application to evaporation from a water table, Soil Sci., 85,
228–232, 1958.
Gerald, C. F. and Wheatley, P. O.: Applied Numerical Analysis, 7th Edn.,
Pearson-Wesley, Boston, 2004.
Gilat, A. and Subramaniam, V.: Numerical Methods for Engineers and
Scientists: An Introduction with Applications Using MATLAB, John Wiley &
Sons, Hoboken, New Jersey, 2007.
Glover, R. E.: Mathematical derivations as pertain to groundwater recharge,
Agricultural Research Service, US Department of Agriculture, Colorado, 1960.
Huang, R. Q. and Wu, L. Z.: Analytical solutions to 1-D horizontal and
vertical water infiltration in saturated/unsaturated soils considering
time-varying rainfall, Comput. Geotech., 39, 66–72,
https://doi.org/10.1016/j.compgeo.2011.08.008, 2012.
Illas, T. S., Thomas, Z. S., and Andreas, P. C.: Water table fluctuation in
aquifers overlying a semi-impervious layer due to transient recharge from a
circular basin, J. Hydrol., 348, 215–223, 2008.
Kroszynski, U. I. and Dagan, G.: Well pumping in unconfined aquifers: The
influence of the unsaturated zone, Water Resour. Res., 11, 479–490,
https://doi.org/10.1029/WR011i003p00479, 1975.
Liang, X. Y., Zhan, H. B., Zhang, Y.-K., and Liu, J.: On the coupled
unsaturated–saturated flow process induced by vertical, horizontal, and slant
wells in unconfined aquifers, Hydrol. Earth Syst. Sci., 21, 1251–1262,
https://doi.org/10.5194/hess-21-1251-2017, 2017a.
Liang, X. Y., Zhan, H. B., Zhang, Y. K., and Schilling, K.: Base flow
recession from unsaturated-saturated porous media considering lateral
unsaturated discharge and aquifer compressibility, Water Resour. Res., 53,
7832–7852, https://doi.org/10.1002/2017WR020938, 2017b.
Marino, M. A.: Hele-Shaw model study of the growth and decay of groundwater
ridges, J. Geophys. Res., 72, 1195–1205, https://doi.org/10.1029/JZ072i004p01195, 1967.
Mathias, S. A. and Butler, A. P.: Linearized Richards' equation approach to
pumping test analysis in compressible aquifers, Water Resour. Res., 42, W06408.
https://doi.org/10.1029/2005WR004680,
2006.
Mishra, P. K. and Neuman, S. P.: Improved forward and inverse analyses of
saturated-unsaturated flow toward a well in a compressible unconfined
aquifer, Water Resour. Res., 46, W07508, https://doi.org/10.1029/2009wr008899, 2010.
Mishra, P. K. and Neuman, S. P.: Saturated-unsaturated flow to a well with
storage in a compressible unconfined aquifer, Water Resour. Res., 47, W05553,
https://doi.org/10.1029/2010wr010177, 2011.
Mishra, P. K., Vesselinov, V. V., and Kuhlman, K. L.: Saturated-unsaturated
flow in a compressible leaky-unconfined aquifer, Adv. Water Resour., 42,
62–70, 2012.
Munevar, A. and Marino, M. A.: Modeling analysis of ground water recharge
potential on alluvial fans using limited data, Ground Water, 37, 649–659,
1999.
Philip, J. R.: Theory of infiltration, Adv. Hydrosci., 5, 215–305, 1969.
Protopapas, A. L. and Bras, R. L.: Analytical solutions for unsteady
multidimensional infiltration in heterogeneous soils, Water Resour. Res., 27,
1029–1034, 1991.
Richards, L. A.: Capillary conduction of liquids through porous mediums,
J. Appl. Phys., 1, 318-333, https://doi.org/10.1063/1.1745010, 1931.
Scudeler, C., Pangle, L., Pasetto, D., Niu, G.-Y., Volkmann, T., Paniconi,
C., Putti, M., and Troch, P.: Multiresponse modeling of variably saturated
flow and isotope tracer transport for a hillslope experiment at the Landscape
Evolution Observatory, Hydrol. Earth Syst. Sci., 20, 4061–4078,
https://doi.org/10.5194/hess-20-4061-2016, 2016.
Shi, P. F., Yang, T., Zhang, K., Tang, Q. H., Yu, Z. B., and Zhou, X. D.:
Large-scale climate patterns and precipitation in an arid endorheic region:
linkage and underlying mechanism, Environ. Res. Lett., 11, 044006,
https://doi.org/10.1088/1748-9326/11/4/044006,
2016.
Siltecho, S., Hammecker, C., Sriboonlue, V., Clermont-Dauphin, C., Trelo-ges,
V., Antonino, A. C. D., and Angulo-Jaramillo, R.: Use of field and laboratory
methods for estimating unsaturated hydraulic properties under different land
uses, Hydrol. Earth Syst. Sci., 19, 1193–1207,
https://doi.org/10.5194/hess-19-1193-2015, 2015.
Singh, S. K.: Rate and volume of stream flow depletion due to unsteady
pumping, J. Irrig. Drain. E.-Asce, 131, 539–545, 2005.
Srivastava, R. and Yeh, T. C. J.: Analytical solutions for one-dimensional,
transient infiltration toward the water-table in homogeneous and layered
soils, Water Resour. Res., 27, 753–762, 1991.
Stehfest, H.: Numerical inversion of Laplace transforms, Commun. ACM, 13,
47–49, https://doi.org/10.1145/361953.361969, 1970.
Tartakovsky, G. D. and Neuman, S. P.: Three-dimensional
saturated-unsaturated flow with axial symmetry to a partially penetrating
well in a compressible unconfined aquifer, Water Resour. Res., 43, W01410,
https://doi.org/10.1029/2006WR005153,
2007.
Tracy, F. T.: Three-dimensional analytical solutions of Richards' equation
for a box-shaped soil sample with piecewise-constant head boundary conditions
on the top, J. Hydrol., 336, 391–400, 2007.
Wang, H. and Li, J.: Analytical solutions to the one-dimensional coupled
seepage and deformation of unsaturated soils with arbitrary nonhomogeneous
boundary conditions, Transport Porous. Med., 108, 481–496,
10.1007/s11242-015-0485-x, 2015.
Wang, X.-S., Ma, M.-G., Li, X., Zhao, J., Dong, P., and Zhou, J.: Groundwater
response to leakage of surface water through a thick vadose zone in the
middle reaches area of Heihe River Basin, in China, Hydrol. Earth Syst. Sci.,
14, 639–650, https://doi.org/10.5194/hess-14-639-2010, 2010.
Warrick, A. W.: Analytical solutions to the one-dimensional linearized
moisture flow equation for arbitrary input, Soil Sci., 120, 79–84, 1975.
Wolfram, S.: The Mathematica Book, 3rd Edn., Cambridge University Press,
Cambridge, England, 1996.
Wu, L. Z., Zhang, L. M., and Huang, R. Q.: Analytical solution to 1D coupled
water infiltration and deformation in two-layer unsaturated soils, Int. J.
Numer. Anal. Met., 36, 798–816, 2012.
Wu, L. Z., Selvadurai, A. P. S., and Huang, R. Q.: Two-dimensional coupled
hydromechanical modeling of water infiltration into a transversely isotropic
unsaturated soil region, Vadose Zone J., 12, vzj2013.04.0072, https://doi.org/10.2136/vzj2013.04.0072,
2013.
Yang, T., Wang, C., Chen, Y. N., Chen, X., and Yu, Z. B.: Climate change and
water storage variability over an arid endorheic region, J. Hydrol., 529,
330–339, 2015.
Yeh, H. D., Chang, Y. C., and Zlotnik, V. A.: Stream depletion rate and
volume from groundwater pumping in wedge-shape aquifers, J. Hydrol., 349,
501–511, 2008.
Download
The requested paper has a corresponding corrigendum published. Please read the corrigendum first before downloading the article.
- Article
(1085 KB) - Full-text XML
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.
Existing analytical solutions associated with groundwater recharge are only applicable to the...