Skip to main content
main-content
Top

Hint

Swipe to navigate through the articles of this issue

Published in: Hydrogeology Journal 7/2018

17-05-2018 | Paper

Estimating groundwater recharge uncertainty from joint application of an aquifer test and the water-table fluctuation method

Authors: H. Delottier, A. Pryet, J. M. Lemieux, A. Dupuy

Published in: Hydrogeology Journal | Issue 7/2018

Login to get access
share
SHARE

Abstract

Specific yield and groundwater recharge of unconfined aquifers are both essential parameters for groundwater modeling and sustainable groundwater development, yet the collection of reliable estimates of these parameters remains challenging. Here, a joint approach combining an aquifer test with application of the water-table fluctuation (WTF) method is presented to estimate these parameters and quantify their uncertainty. The approach requires two wells: an observation well instrumented with a pressure probe for long-term monitoring and a pumping well, located in the vicinity, for the aquifer test. The derivative of observed drawdown levels highlights the necessity to represent delayed drainage from the unsaturated zone when interpreting the aquifer test results. Groundwater recharge is estimated with an event-based WTF method in order to minimize the transient effects of flow dynamics in the unsaturated zone. The uncertainty on groundwater recharge is obtained by the propagation of the uncertainties on specific yield (Bayesian inference) and groundwater recession dynamics (regression analysis) through the WTF equation. A major portion of the uncertainty on groundwater recharge originates from the uncertainty on the specific yield. The approach was applied to a site in Bordeaux (France). Groundwater recharge was estimated to be 335 mm with an associated uncertainty of 86.6 mm at 2σ. By the use of cost-effective instrumentation and parsimonious methods of interpretation, the replication of such a joint approach should be encouraged to provide reliable estimates of specific yield and groundwater recharge over a region of interest. This is necessary to reduce the predictive uncertainty of groundwater management models.
Literature
go back to reference Acharya S, Jawitz JW, Mylavarapu RS (2012) Analytical expressions for drainable and fillable porosity of phreatic aquifers under vertical fluxes from evapotranspiration and recharge. Water Resour Res 48(11) Acharya S, Jawitz JW, Mylavarapu RS (2012) Analytical expressions for drainable and fillable porosity of phreatic aquifers under vertical fluxes from evapotranspiration and recharge. Water Resour Res 48(11)
go back to reference Anderson MP, Woessner WW, Hunt RJ (2015) Applied groundwater modeling: simulation of flow and advective transport. Academic, Cambridge, MA Anderson MP, Woessner WW, Hunt RJ (2015) Applied groundwater modeling: simulation of flow and advective transport. Academic, Cambridge, MA
go back to reference Aster RC, Borchers B, Thurber CH (2013) Parameter estimation and inverse problems. Academic, Cambridge, MA Aster RC, Borchers B, Thurber CH (2013) Parameter estimation and inverse problems. Academic, Cambridge, MA
go back to reference Barlow PM, Moench AF (2011) WTAQ version 2: a computer program for analysis of aquifer tests in confined and water table aquifers with alternative representations of drainage from the unsaturated zone. US Geol Surv Techniques and Methods 3-B9, 41 pp Barlow PM, Moench AF (2011) WTAQ version 2: a computer program for analysis of aquifer tests in confined and water table aquifers with alternative representations of drainage from the unsaturated zone. US Geol Surv Techniques and Methods 3-B9, 41 pp
go back to reference Boulton NS (1954) The drawdown of the water table under non-steady conditions near a pumped well in an unconfined formation. Proc Inst Civ Eng 3(4):564–579 Boulton NS (1954) The drawdown of the water table under non-steady conditions near a pumped well in an unconfined formation. Proc Inst Civ Eng 3(4):564–579
go back to reference Carrera J, Neuman SP (1986) Estimation of aquifer parameters under transient and steady state conditions: 2. uniqueness, stability, and solution algorithms. Water Resour Res 22(2):211–227 CrossRef Carrera J, Neuman SP (1986) Estimation of aquifer parameters under transient and steady state conditions: 2. uniqueness, stability, and solution algorithms. Water Resour Res 22(2):211–227 CrossRef
go back to reference Carrera J, Alcolea A, Medina A, Hidalgo J, Slooten LJ (2005) Inverse problem in hydrogeology. Hydrogeol J 13(1):206–222 CrossRef Carrera J, Alcolea A, Medina A, Hidalgo J, Slooten LJ (2005) Inverse problem in hydrogeology. Hydrogeol J 13(1):206–222 CrossRef
go back to reference Cooley RL (1982) Incorporation of prior information on parameters into nonlinear regression ground-water flow models: 1. theory. Water Resour Res 18(4):965–976 CrossRef Cooley RL (1982) Incorporation of prior information on parameters into nonlinear regression ground-water flow models: 1. theory. Water Resour Res 18(4):965–976 CrossRef
go back to reference Cooper HH, Jacob C (1946) A generalized graphical method for evaluating formation constants and summarizing well-field history. EOS Trans Am Geophys Union 27(4):526–534 CrossRef Cooper HH, Jacob C (1946) A generalized graphical method for evaluating formation constants and summarizing well-field history. EOS Trans Am Geophys Union 27(4):526–534 CrossRef
go back to reference Crosbie RS, Binning P, Kalma JD (2005) A time series approach to inferring groundwater recharge using the water table fluctuation method. Water Resour Res 41(1) Crosbie RS, Binning P, Kalma JD (2005) A time series approach to inferring groundwater recharge using the water table fluctuation method. Water Resour Res 41(1)
go back to reference Crosbie RS, Davies P, Harrington N, Lamontagne S (2015) Ground truthing groundwater-recharge estimates derived from remotely sensed evapotranspiration: a case in South Australia. Hydrogeol J 23(2):335 CrossRef Crosbie RS, Davies P, Harrington N, Lamontagne S (2015) Ground truthing groundwater-recharge estimates derived from remotely sensed evapotranspiration: a case in South Australia. Hydrogeol J 23(2):335 CrossRef
go back to reference Cui T, Ward ND (2012) Uncertainty quantification for stream depletion tests. J Hydrol Eng 18(12):1581–1590 CrossRef Cui T, Ward ND (2012) Uncertainty quantification for stream depletion tests. J Hydrol Eng 18(12):1581–1590 CrossRef
go back to reference Cuthbert MO (2010) An improved time series approach for estimating groundwater recharge from groundwater level fluctuations. Water Resour Res 46(9) Cuthbert MO (2010) An improved time series approach for estimating groundwater recharge from groundwater level fluctuations. Water Resour Res 46(9)
go back to reference Cuthbert MO (2014) Straight thinking about groundwater recession. Water Resour Res 50(3):2407–2424 CrossRef Cuthbert MO (2014) Straight thinking about groundwater recession. Water Resour Res 50(3):2407–2424 CrossRef
go back to reference Cuthbert MO, Acworth RI, Andersen MS, Larsen JR, McCallum AM, Rau GC, Tellam JH (2016) Understanding and quantifying focused, indirect groundwater recharge from ephemeral streams using water table fluctuations. Water Resour Res 52(2):857–840 CrossRef Cuthbert MO, Acworth RI, Andersen MS, Larsen JR, McCallum AM, Rau GC, Tellam JH (2016) Understanding and quantifying focused, indirect groundwater recharge from ephemeral streams using water table fluctuations. Water Resour Res 52(2):857–840 CrossRef
go back to reference de Marsily G (1986) Quantitative hydrogeology: groundwater hydrology for engineers. Academic, New York de Marsily G (1986) Quantitative hydrogeology: groundwater hydrology for engineers. Academic, New York
go back to reference Delottier H, Pryet A, Dupuy A (2017) Why should practitioners be concerned about predictive uncertainty of groundwater management models? Water Resour Manag 31:61–73 CrossRef Delottier H, Pryet A, Dupuy A (2017) Why should practitioners be concerned about predictive uncertainty of groundwater management models? Water Resour Manag 31:61–73 CrossRef
go back to reference Doble R, Crosbie RS (2016) Current and emerging methods for catchment-scale modelling of recharge and evapotranspiration from shallow groundwater. Hydrogeol J 1(25):3–23 Doble R, Crosbie RS (2016) Current and emerging methods for catchment-scale modelling of recharge and evapotranspiration from shallow groundwater. Hydrogeol J 1(25):3–23
go back to reference Doherty J (2015) Calibration and uncertainty analysis for complex environmental models - PEST: complete theory and what it means for modelling the real world. Watermark, Brisbane, Australia Doherty J (2015) Calibration and uncertainty analysis for complex environmental models - PEST: complete theory and what it means for modelling the real world. Watermark, Brisbane, Australia
go back to reference Fienen MN, Doherty JE, Hunt RJ, Reeves HW (2010) Using prediction uncertainty analysis to design hydrologic monitoring networks: example applications from the Great Lakes Water Availability Pilot Project - Appendix 1. Tech. Rep., US Geological Survey, Reston, VA Fienen MN, Doherty JE, Hunt RJ, Reeves HW (2010) Using prediction uncertainty analysis to design hydrologic monitoring networks: example applications from the Great Lakes Water Availability Pilot Project - Appendix 1. Tech. Rep., US Geological Survey, Reston, VA
go back to reference Halford KJ, Weight WD, Schreiber RP (2006) Interpretation of transmissivity estimates from single-well pumping aquifer tests. Ground Water 44(3):467–471 CrossRef Halford KJ, Weight WD, Schreiber RP (2006) Interpretation of transmissivity estimates from single-well pumping aquifer tests. Ground Water 44(3):467–471 CrossRef
go back to reference Hastings WK (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57(1):97–109 CrossRef Hastings WK (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57(1):97–109 CrossRef
go back to reference Healy RW, Cook PG (2002) Using groundwater levels to estimate recharge. Hydrogeol J 10(1):91–109 CrossRef Healy RW, Cook PG (2002) Using groundwater levels to estimate recharge. Hydrogeol J 10(1):91–109 CrossRef
go back to reference Healy RW, Scanlon BR (2010) Estimating groundwater recharge, vol 237. Cambridge University Press, Cambridge CrossRef Healy RW, Scanlon BR (2010) Estimating groundwater recharge, vol 237. Cambridge University Press, Cambridge CrossRef
go back to reference Heppner CS, Nimmo JR (2005) A computer program for predicting recharge with a master recession curve. US Geol Surv Sci Invest Rep 2005-5172 Heppner CS, Nimmo JR (2005) A computer program for predicting recharge with a master recession curve. US Geol Surv Sci Invest Rep 2005-5172
go back to reference Hilberts AGJ, Troch PA, Paniconi C (2005) Storage-dependent drainable porosity for complex hillslopes. Water Resour Res 41(6) Hilberts AGJ, Troch PA, Paniconi C (2005) Storage-dependent drainable porosity for complex hillslopes. Water Resour Res 41(6)
go back to reference Hill MC, Tiedeman CR (2006) Effective groundwater model calibration: with analysis of data, sensitivities, predictions, and uncertainty. Wiley, Hoboken, NJ Hill MC, Tiedeman CR (2006) Effective groundwater model calibration: with analysis of data, sensitivities, predictions, and uncertainty. Wiley, Hoboken, NJ
go back to reference Hughes I, Hase T (2010) Measurements and their uncertainties: a practical guide to modern error analysis. Oxford University Press, Oxford Hughes I, Hase T (2010) Measurements and their uncertainties: a practical guide to modern error analysis. Oxford University Press, Oxford
go back to reference Hunt RJ, Doherty J, Tonkin MJ (2007) Are models too simple? Arguments for increased parameterization. Ground Water 45(3):254–262 CrossRef Hunt RJ, Doherty J, Tonkin MJ (2007) Are models too simple? Arguments for increased parameterization. Ground Water 45(3):254–262 CrossRef
go back to reference King AC, Adam C, Raiber M, Cox ME, Cendon DI (2017) Comparison of groundwater recharge estimation techniques in an alluvial aquifer system with an intermittent/ephemeral stream (Queensland, Australia). Hydrogeol J 25(6):1759–1777 CrossRef King AC, Adam C, Raiber M, Cox ME, Cendon DI (2017) Comparison of groundwater recharge estimation techniques in an alluvial aquifer system with an intermittent/ephemeral stream (Queensland, Australia). Hydrogeol J 25(6):1759–1777 CrossRef
go back to reference Knowling MJ, Werner AD (2016) Estimability of recharge through groundwater model calibration: insights from a field-scale steady-state example. J Hydrol 540:973–987 CrossRef Knowling MJ, Werner AD (2016) Estimability of recharge through groundwater model calibration: insights from a field-scale steady-state example. J Hydrol 540:973–987 CrossRef
go back to reference Kruseman GP, de Ridder NA (1990) Analysis and evaluation of pumping test data. Pub. 47, ILRI, Wageningen, The Netherlands Kruseman GP, de Ridder NA (1990) Analysis and evaluation of pumping test data. Pub. 47, ILRI, Wageningen, The Netherlands
go back to reference Lucas M, Paulo T, Oliveira S, Davi C, Melo D, Wendland E (2015) Evaluation of remotely sensed data for estimating recharge to an outcrop zone of the Guarani aquifer system (South America). Hydrogeol J 23(5):961 CrossRef Lucas M, Paulo T, Oliveira S, Davi C, Melo D, Wendland E (2015) Evaluation of remotely sensed data for estimating recharge to an outcrop zone of the Guarani aquifer system (South America). Hydrogeol J 23(5):961 CrossRef
go back to reference Mao D, Wan L, Yeh T-CJ, Lee, Hsu K-C, Wen J-C, Lu W (2011) A revisit of drawdown behavior during pumping in unconfined aquifers. Water Resour Res 47(5) Mao D, Wan L, Yeh T-CJ, Lee, Hsu K-C, Wen J-C, Lu W (2011) A revisit of drawdown behavior during pumping in unconfined aquifers. Water Resour Res 47(5)
go back to reference Mathias S, Butler A (2006) Linearized Richards’ equation approach to pumping test analysis in compressible aquifers. Water Resour Res 42(6) Mathias S, Butler A (2006) Linearized Richards’ equation approach to pumping test analysis in compressible aquifers. Water Resour Res 42(6)
go back to reference Meier PM, Carrera J, Sánchez-Vila X (1998) An evaluation of Jacob’s method for the interpretation of pumping tests in heterogeneous formations. Water Resour Res 34(5):1011–1025 CrossRef Meier PM, Carrera J, Sánchez-Vila X (1998) An evaluation of Jacob’s method for the interpretation of pumping tests in heterogeneous formations. Water Resour Res 34(5):1011–1025 CrossRef
go back to reference Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092 CrossRef Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092 CrossRef
go back to reference Mishra PK, Kuhlman KL (2013) Unconfined aquifer flow theory: from Dupuit to present, chap 9. In: Advances in hydrogeology. Springer, Heidelberg, Germany, pp 185–202 CrossRef Mishra PK, Kuhlman KL (2013) Unconfined aquifer flow theory: from Dupuit to present, chap 9. In: Advances in hydrogeology. Springer, Heidelberg, Germany, pp 185–202 CrossRef
go back to reference Mishra PK, Neuman SP (2010) Improved forward and inverse analyses of saturated-unsaturated flow toward a well in a compressible unconfined aquifer. Water Resour Res 46(7) Mishra PK, Neuman SP (2010) Improved forward and inverse analyses of saturated-unsaturated flow toward a well in a compressible unconfined aquifer. Water Resour Res 46(7)
go back to reference Moench AF (2004) Importance of the vadose zone in analyses of unconfined aquifer tests. Ground Water 42(2):223 CrossRef Moench AF (2004) Importance of the vadose zone in analyses of unconfined aquifer tests. Ground Water 42(2):223 CrossRef
go back to reference Nachabe MH (2002) Analytical expressions for transient specific yield and shallow water table drainage. Water Resour Res 38(10) CrossRef Nachabe MH (2002) Analytical expressions for transient specific yield and shallow water table drainage. Water Resour Res 38(10) CrossRef
go back to reference Neuman SP (1972) Theory flow in unconfined aquifers considering delayed response of the water table. Water Resour Res 8:1031–1045 CrossRef Neuman SP (1972) Theory flow in unconfined aquifers considering delayed response of the water table. Water Resour Res 8:1031–1045 CrossRef
go back to reference Neuman SP, Mishra PK (2012) Comments on “a revisit of drawdown behavior during pumping in unconfined aquifers” by D. Mao, l. Wan, T.-CJ Yeh, C.-H. Lee, K.-C. Hsu, J.-C. Wen, and W. Lu. Water Resour Res 48(2) Neuman SP, Mishra PK (2012) Comments on “a revisit of drawdown behavior during pumping in unconfined aquifers” by D. Mao, l. Wan, T.-CJ Yeh, C.-H. Lee, K.-C. Hsu, J.-C. Wen, and W. Lu. Water Resour Res 48(2)
go back to reference Nimmo JR, Horowitz C, Mitchell L (2015) Discrete-storm water table fluctuation method to estimate episodic recharge. Groundwater 53(2):282–292 CrossRef Nimmo JR, Horowitz C, Mitchell L (2015) Discrete-storm water table fluctuation method to estimate episodic recharge. Groundwater 53(2):282–292 CrossRef
go back to reference Nwankwor G, Cherry J, Gillham R (1984) A comparative study of specific yield determinations for a shallow sand aquifer. Ground Water 22(6):764–772 CrossRef Nwankwor G, Cherry J, Gillham R (1984) A comparative study of specific yield determinations for a shallow sand aquifer. Ground Water 22(6):764–772 CrossRef
go back to reference Nwankwor G, Gillham R, Kamp G, Akindunni F (1992) Unsaturated and saturated flow in response to pumping of an unconfined aquifer: field evidence of delayed drainage. Ground Water 30(5):690–700 CrossRef Nwankwor G, Gillham R, Kamp G, Akindunni F (1992) Unsaturated and saturated flow in response to pumping of an unconfined aquifer: field evidence of delayed drainage. Ground Water 30(5):690–700 CrossRef
go back to reference Ordens CM, Werner AD, Adrian D, Post VEA, Hutson J, Simmons CT, Irvine BM (2012) Groundwater recharge to a sedimentary aquifer in the topographically closed Uley South Basin, South Australia. Hydrogeol J 20(1):61–72 CrossRef Ordens CM, Werner AD, Adrian D, Post VEA, Hutson J, Simmons CT, Irvine BM (2012) Groundwater recharge to a sedimentary aquifer in the topographically closed Uley South Basin, South Australia. Hydrogeol J 20(1):61–72 CrossRef
go back to reference Park E (2012) Delineation of recharge rate from a hybrid water table fluctuation method. Water Resour Res 48(7) Park E (2012) Delineation of recharge rate from a hybrid water table fluctuation method. Water Resour Res 48(7)
go back to reference Patil A, Huard D, Fonnesbeck CJ (2010) PyMC: Bayesian stochastic modelling in Python. J Stat Softw 35(4):1 CrossRef Patil A, Huard D, Fonnesbeck CJ (2010) PyMC: Bayesian stochastic modelling in Python. J Stat Softw 35(4):1 CrossRef
go back to reference Rasmussen WC, Andreasen GE (1959) Hydrologic budget of the Beaverdam Creek basin, Maryland. US Geol Surv Water Suppl Pap 1472 Rasmussen WC, Andreasen GE (1959) Hydrologic budget of the Beaverdam Creek basin, Maryland. US Geol Surv Water Suppl Pap 1472
go back to reference Rawling G, Newton BT (2016) Quantity and location of groundwater recharge in the Sacramento Mountains, south-central New Mexico (USA), and their relation to the adjacent Roswell Artesian Basin. Hydrogeol J 24(4):757 CrossRef Rawling G, Newton BT (2016) Quantity and location of groundwater recharge in the Sacramento Mountains, south-central New Mexico (USA), and their relation to the adjacent Roswell Artesian Basin. Hydrogeol J 24(4):757 CrossRef
go back to reference Renard P (2005) The future of hydraulic tests. Hydrogeol J 13(1):259–262 CrossRef Renard P (2005) The future of hydraulic tests. Hydrogeol J 13(1):259–262 CrossRef
go back to reference Renard P, Glenz D, Mejias M (2009) Understanding diagnostic plots for well-test interpretation. Hydrogeol J 17(3):589–600 CrossRef Renard P, Glenz D, Mejias M (2009) Understanding diagnostic plots for well-test interpretation. Hydrogeol J 17(3):589–600 CrossRef
go back to reference Rorabaugh MI (1960) Use of water levels in estimating aquifer constants in a finite aquifer. IAHS Publ. 52, IAHS, Wallingford, UK, pp 314–323 Rorabaugh MI (1960) Use of water levels in estimating aquifer constants in a finite aquifer. IAHS Publ. 52, IAHS, Wallingford, UK, pp 314–323
go back to reference Scanlon BR, Healy RW, Cook PG (2002) Choosing appropriate techniques for quantifying groundwater recharge. Hydrogeol J 10(1):18–39 CrossRef Scanlon BR, Healy RW, Cook PG (2002) Choosing appropriate techniques for quantifying groundwater recharge. Hydrogeol J 10(1):18–39 CrossRef
go back to reference Sophocleous MA (1991) Combining the soilwater balance and water-level fluctuation methods to estimate natural groundwater recharge: practical aspects. J Hydrol 124(3–4):229–241 CrossRef Sophocleous MA (1991) Combining the soilwater balance and water-level fluctuation methods to estimate natural groundwater recharge: practical aspects. J Hydrol 124(3–4):229–241 CrossRef
go back to reference Tartakovsky GD, Neuman SP (2007) Three-dimensional saturated-unsaturated flow with axial symmetry to a partially penetrating well in a compressible unconfined aquifer. Water Resour Res 43(1) Tartakovsky GD, Neuman SP (2007) Three-dimensional saturated-unsaturated flow with axial symmetry to a partially penetrating well in a compressible unconfined aquifer. Water Resour Res 43(1)
go back to reference Theis CV (1935) The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage. EOS Trans Am Geophys Union 16(2):519–524 CrossRef Theis CV (1935) The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage. EOS Trans Am Geophys Union 16(2):519–524 CrossRef
go back to reference Tikhonov A, Arsenin V (1977) Solutions of ill-posed problems. Halsted, New York Tikhonov A, Arsenin V (1977) Solutions of ill-posed problems. Halsted, New York
go back to reference Trivedi NM, Kashyap D (2015) Modeling of variably saturated flow in response to pumping from an unconfined aquifer: numerical evidence of gravity-delayed drainage and its parameterization. J Hydrol Eng 21(2):06015,014 CrossRef Trivedi NM, Kashyap D (2015) Modeling of variably saturated flow in response to pumping from an unconfined aquifer: numerical evidence of gravity-delayed drainage and its parameterization. J Hydrol Eng 21(2):06015,014 CrossRef
go back to reference van der Spek JE, Bakker M (2017) The influence of the length of the calibration period and observation frequency on predictive uncertainty in time series modeling of groundwater dynamics. Water Resour Res 53(3) van der Spek JE, Bakker M (2017) The influence of the length of the calibration period and observation frequency on predictive uncertainty in time series modeling of groundwater dynamics. Water Resour Res 53(3)
go back to reference Wu C-M, Yeh T-CJ, Zhu J, Lee TH, Hsu N-S, Chen C-H, Sancho AF (2005) Traditional analysis of aquifer tests: comparing apples to oranges? Water Resour Res 41(9) Wu C-M, Yeh T-CJ, Zhu J, Lee TH, Hsu N-S, Chen C-H, Sancho AF (2005) Traditional analysis of aquifer tests: comparing apples to oranges? Water Resour Res 41(9)
go back to reference Yin L, Hu G, Huang J, Wen D, Dong J, Wang X, Li H (2011) Groundwater-recharge estimation in the Ordos plateau, China: comparison of methods. Hydrogeol J 19(8):1563–1575 CrossRef Yin L, Hu G, Huang J, Wen D, Dong J, Wang X, Li H (2011) Groundwater-recharge estimation in the Ordos plateau, China: comparison of methods. Hydrogeol J 19(8):1563–1575 CrossRef
go back to reference Yustres Á, Asensio L, Alonso J, Navarro V (2012) A review of Markov chain Monte Carlo and information theory tools for inverse problems in subsurface flow. Comput Geosci 16(1):1–20 CrossRef Yustres Á, Asensio L, Alonso J, Navarro V (2012) A review of Markov chain Monte Carlo and information theory tools for inverse problems in subsurface flow. Comput Geosci 16(1):1–20 CrossRef
go back to reference Zhang J, van Heyden J, Bendel D, Barthel R (2011) Combination of soil-water balance models and water table fluctuation methods for evaluation and improvement of groundwater recharge calculations. Hydrogeol J 19(8):1487–1502 CrossRef Zhang J, van Heyden J, Bendel D, Barthel R (2011) Combination of soil-water balance models and water table fluctuation methods for evaluation and improvement of groundwater recharge calculations. Hydrogeol J 19(8):1487–1502 CrossRef
go back to reference Zhou H, Gómez-Hernández JJ, Li L (2014) Inverse methods in hydrogeology: evolution and recent trends. Adv Water Resour 63:22–37 CrossRef Zhou H, Gómez-Hernández JJ, Li L (2014) Inverse methods in hydrogeology: evolution and recent trends. Adv Water Resour 63:22–37 CrossRef
Metadata
Title
Estimating groundwater recharge uncertainty from joint application of an aquifer test and the water-table fluctuation method
Authors
H. Delottier
A. Pryet
J. M. Lemieux
A. Dupuy
Publication date
17-05-2018
Publisher
Springer Berlin Heidelberg
Published in
Hydrogeology Journal / Issue 7/2018
Print ISSN: 1431-2174
Electronic ISSN: 1435-0157
DOI
https://doi.org/10.1007/s10040-018-1790-6