An analytical model for flow induced by a constant-head pumping in a leaky unconfined aquifer system with considering unsaturated flow
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Abdul, 1992, A new pumping strategy for petroleum product recovery from contaminated hydrogeologic systems: laboratory and field evaluations, Ground Water Monit. R., 12, 105, 10.1111/j.1745-6592.1992.tb00415.x
Boulton, 1954, Unsteady radial flow to a pumped well allowing for delayed yield from storage, Int. Assoc. Sci. Hydrol. Publ., 2, 472
Boulton, 1954, The drawdown of the water-table under non-steady conditions near a pumped well in an unconfined formation, Proc. Inst. Civ. Eng., 3, 564
Boulton, 1973, The influence of delayed drainage on data from pumping tests in unconfined aquifers, J. Hydrol., 19, 157, 10.1016/0022-1694(73)90077-2
Brooks, 1964, Hydraulic properties of porous media and their relation to drainage design, Trans. ASAE, 7, 26, 10.13031/2013.40684
Chang, 2010, Transient solution for radial two‐zone flow in unconfined aquifers under constant‐head tests, Hydrol. Process., 24, 1496, 10.1002/hyp.7610
Chang, 2010, Transient flow into a partially penetrating well during the constant-head test in unconfined aquifers, J. Hydraul. Eng., 137, 1054, 10.1061/(ASCE)HY.1943-7900.0000392
Charbeneau, 2000
Chen, 2003, Well hydraulics theory and data analysis of the constant-head test in an unconfined aquifer with the skin effect, Water Resour. Res., 39, 1121, 10.1029/2002WR001516
Crump, 1976, Numerical inversion of Laplace transforms using a Fourier series approximation, J. Assoc. Comput. Mach., 23, 89, 10.1145/321921.321931
Dagan, G., 1964. Second Order Linearized Theory of Free Surface Flow in Porous Media, La Houille Blanche, 8, 901–910.
Duffy, 1998
Gardner, 1958, Some steady state solutions of unsaturated moisture flow equations with application to evaporation from a water table, Soil Sci., 85, 228, 10.1097/00010694-195804000-00006
Hantush, 1960, Modification of the theory of leaky aquifers, J. Geophys. Res., 65, 3713, 10.1029/JZ065i011p03713
Hantush, 1964, Hydraulics of wells, Adv. Hydrosci., 1, 281, 10.1016/B978-1-4831-9932-0.50010-3
Hantush, 1955, Nonsteady radial flow in an infinite leaky aquifer, Eos Trans. Am. Geophys. Union, 36, 95, 10.1029/TR036i001p00095
Hiller, C.K. and B.S. Levy, 1994. Estimation of aquifer diffusivity from analysis of constant-head pumping test data, Ground Water, 32(1), 47–52.
Huang, 2007, The use of sensitivity analysis in on-line aquifer parameter estimation, J. Hydrol., 335, 406, 10.1016/j.jhydrol.2006.12.007
Jacob, 1952, Nonsteady flow to a well of constant drawdown in an extensive aquifer, Eos Trans. Am. Geophys. Union, 33, 559, 10.1029/TR033i004p00559
Jones, 1993, A comparison of pumping and slug tests for estimating the hydraulic conductivity of unweathered Wisconsin age till in Iowa, Ground Water, 31, 896, 10.1111/j.1745-6584.1993.tb00862.x
Jones, 1992, Results of two pumping tests in Wisconsin age weathered till in Iowa, Ground Water, 30, 529, 10.1111/j.1745-6584.1992.tb01529.x
Kabala, 2001, Sensitivity analysis of a pumping test on a well with wellbore storage and skin, Adv. Water Res., 24, 483, 10.1016/S0309-1708(00)00051-8
Kao, 2004
Kroszynski, 1975, Flow in a vertical column drained at its bottom at constant flux, J, Hydrol., 24, 135, 10.1016/0022-1694(75)90147-X
Kroszynski, 1975, Well pumping in unconfined aquifers: the influence of the unsaturated zone, Water Resour. Res., 11, 479, 10.1029/WR011i003p00479
Liang, 2017, On the coupled unsaturated–saturated flow process induced by vertical, horizontal, and slant wells in unconfined aquifers, Hydrol. Earth Syst. Sci., 21, 1251, 10.5194/hess-21-1251-2017
Lin, 2016, A general analytical model for pumping tests in radial finite two-zone confined aquifers with Robin-type outer boundary, J. Hydrol., 540, 1162, 10.1016/j.jhydrol.2016.07.028
Malama, 2007, Semi-analytical solution for flow in leaky unconfined aquifer–aquitard systems, J. Hydrol., 346, 59, 10.1016/j.jhydrol.2007.08.018
Malama, 2008, Semi-analytical solution for flow in a leaky unconfined aquifer toward a partially penetrating pumping well, J. Hydrol., 356, 234, 10.1016/j.jhydrol.2008.03.029
Markle, 1995, A model for the constant-head pumping test conducted in vertically fractured media, Int. J. Numer. Anal. Met., 19, 457, 10.1002/nag.1610190702
Mathias, 2006, Linearized Richards’ equation approach to pumping tests analysis in compressible aquifers, Water Resour. Res., 42, W06408, 10.1029/2005WR004680
Mishra, 1992, Analysis of observation-well response during constant-head testing, Ground Water, 30, 523, 10.1111/j.1745-6584.1992.tb01528.x
Mishra, 2010, Improved forward and inverse analyses of saturated–unsaturated flow toward a well in a compressible unconfined aquifer, Water Resour. Res., 46, W07508, 10.1029/2009WR008899
Mishra, 2011, Saturated–unsaturated flow to a well with storage in a compressible unconfined aquifer, Water Resour. Res., 47, W05553, 10.1029/2010WR010177
Mishra, 2012, Saturated–unsaturated flow in a compressible leaky-unconfined aquifer, Adv. Water Res., 42, 62, 10.1016/j.advwatres.2012.03.007
Moench, 1995, Combining the Neuman and Boulton models for flow to a well in an unconfined aquifer, Ground Water, 33, 378, 10.1111/j.1745-6584.1995.tb00293.x
Moench, 1997, Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer, Water Resour. Res., 33, 1397, 10.1029/97WR00651
Neuman, 1972, Theory of flow in unconfined aquifers considering delayed response of the water table, Water Resour. Res., 8, 1031, 10.1029/WR008i004p01031
Neuman, 1974, Effect of partial penetration on flow in unconfined aquifers considering delayed gravity response, Water Resour. Res., 10, 303, 10.1029/WR010i002p00303
Neuman, 1975, Analysis of pumping test data from anisotropic unconfined aquifers considering delayed gravity response, Water Resour. Res., 11, 329, 10.1029/WR011i002p00329
Peng, 2002, Improved numerical evaluation for the radial groundwater flow equation, Adv. Water Resour., 25, 663, 10.1016/S0309-1708(02)00030-1
Philip, 1969, Theory of infiltration, Adv. Hydrosci., 5, 215, 10.1016/B978-1-4831-9936-8.50010-6
Press, 1992
Richards, 1931, Capillary conduction of liquids through porous mediums, J. Appl. Phys., 1, 318
Sun, 2016, A semi-analytical solution for slug tests in an unconfined aquifer considering unsaturated flow, J. Hydrol., 532, 29, 10.1016/j.jhydrol.2015.11.029
Tartakovsky, 2007, Three-dimensional saturated–unsaturated flow with axial symmetry to a partially penetrating well in a compressible unconfined aquifer, Water Resour. Res., 43, W01410, 10.1029/2006WR005153
van Genuchten, 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892, 10.2136/sssaj1980.03615995004400050002x
Wang, 2008, Obtaining the steady‐state drawdown solutions of constant‐head and constant‐flux tests, Hydrol. Process., 22, 3456, 10.1002/hyp.6950
Warrick, 2003
Wen, 2011, Constant-head test in a leaky aquifer with a finite-thickness skin, J. Hydrol., 399, 326, 10.1016/j.jhydrol.2011.01.010
White, M.D., and Oostrom, M., 2000. STOMP: Subsurface transport over multiple phase: theory guide, PNNL208;11216(UC‐2010), Pacific Northwest National Laboratory, Richland, Wash.
Wolfram, 1991
Yang, 2005, Laplace-domain solutions for radial two-zone flow equations under the conditions of constant-head and partially penetrating well, J. Hydraul. Eng., 131, 209, 10.1061/(ASCE)0733-9429(2005)131:3(209)
Yeh, 1980, FEMWATER: A Finite Element Model of Water Flow through Saturated–Unsaturated Porous Media
Yeh, 1987, Theis' solution by nonlinear least‐squares and finite‐difference Newton's method, Ground Water, 25, 710, 10.1111/j.1745-6584.1987.tb02212.x
Yeh, 2013, Recent advances in modeling of well hydraulics, Adv. Water Resour., 51, 27, 10.1016/j.advwatres.2012.03.006
Zlotnik, 2005, Aquitard effect on drawdown in water table aquifers, Water Resour. Res., 41, W06022, 10.1029/2004WR003716