Technical Papers
May 27, 2022

Interpretation of Step-Drawdown Tests with the Differential Evolution Approach

Publication: Journal of Hydrologic Engineering
Volume 27, Issue 8

Abstract

A step-drawdown test is a common hydrogeological investigation tool employed for identifying the hydraulic characteristics of an aquifer as well as assessing the efficiency of the pumping conditions. Several graphical and optimization-based solution techniques have been devised for analyzing data sets obtained from step-drawdown tests to retrieve aquifer and well loss parameters. This study aimed to introduce the use of a differential evolution (DE) algorithm as an alternative and practical option for interpretation of step-drawdown tests conducted in confined aquifers. The proposed estimation procedure was tested for a large number of synthetically generated noise-free and noisy data sets for evaluating its estimation performance. The DE search method exhibited superior accuracy with considerably higher convergence speed when compared with other competitive and widely used population-based algorithms. Sensitivity analysis was performed to explore the capability of the method in estimating each investigated variable. The DE algorithm was implemented for analyzing a real field data set as well, and it was able to produce parameter estimation results consistent with those reported in previous studies. As demonstrated in this study, the DE search method can be an eligible algorithm for solving inverse problems in the field of hydrogeology, regarding its accuracy, high convergence speed, robustness, and simplicity in coding.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

Avci, C. B. 1992. “Parameter estimation for step-drawdown tests.” Ground Water 30 (3): 338–342. https://doi.org/10.1111/j.1745-6584.1992.tb02001.x.
Ayvaz, M. T., and G. Gurarslan. 2019. “A hybrid optimization approach for parameter estimation of confined and leaky confined aquifers.” Water Supply 19 (8): 2359–2366. https://doi.org/10.2166/ws.2019.117.
Batu, V. 1998. Aquifer hydraulics: A comprehensive guide to hydrogeologic data analysis. New York: Wiley.
Bear, J. 1979. Hydraulics of groundwater. New York: McGraw-Hill.
Bierschenk, W. H. 1963. “Determining well efficiency by multiple step-drawdown tests.” Int. Assoc. Sci. Hydrol. 64: 493–507.
Birsoy, Y. K., and W. K. Summers. 1980. “Determination of aquifer parameters from step tests and intermittent pumping data.” Ground Water 18 (2): 137–146. https://doi.org/10.1111/j.1745-6584.1980.tb03382.x.
Bolado-Lavin, R., W. Castaings, and S. Tarantola. 2009. “Contribution to the sample mean plot for graphical and numerical sensitivity analysis.” Reliab. Eng. Syst. Saf. 94 (6): 1041–1049. https://doi.org/10.1016/j.ress.2008.11.012.
Chiu, Y. 2014. “Application of differential evolutionary optimization methodology for parameter structure identification in groundwater modeling.” Hydrogeol. J. 22 (8): 1731–1748. https://doi.org/10.1007/s10040-014-1172-7.
Clark, L. 1977. “The analysis and planning of step drawdown tests.” Q. J. Eng. Geol. 10 (2): 125–143. https://doi.org/10.1144/GSL.QJEG.1977.010.02.03.
Domenico, P. A., and F. W. Schwartz. 1990. Physical and chemical hydrogeology. New York: Wiley.
Eden, R. N., and C. P. Hazel. 1973. Computer and graphical analysis of variable discharge pumping tests of wells. Sydney, Australia: Institution of Engineers Australia.
Gupta, A. 1989. “On analysis of step-drawdown data.” Ground Water 27 (6): 874–881. https://doi.org/10.1111/j.1745-6584.1989.tb01051.x.
Gurarslan, G., and H. Karahan. 2015. “Solving inverse problems of groundwater-pollution-source identification using a differential evolution algorithm.” Hydrogeol. J. 23 (6): 1109–1119. https://doi.org/10.1007/s10040-015-1256-z.
Hamdi, H., Y. Hajizadeh, and M. C. Sousa. 2015. “Population-based sampling methods for geological well testing.” Comput. Geosci. 19 (5): 1089–1107. https://doi.org/10.1007/s10596-015-9522-7.
Hantush, M. S. 1964. “Hydraulics of wells.” In Advances in hydroscience, edited by V. T. Chow, 281–442. New York: Academic Press.
Heris, M. K. 2015. “Particle swarm optimization in MATLAB.” Accessed October 1, 2021. https://yarpiz.com/50/ypea102-particle-swarm-optimization),Yarpiz.
Innocente, M. S., and J. Sienz. 2010. “Coefficients’ settings in particle swarm optimization: Insight and guidelines.” In Vol. 29 of Proc., Mecánica Computacional: Computational Intelligence Techniques for Optimization and Data Modeling (B), 9253–9269. Buenos Aires, Argentina: Asociación Argentinade Mecánica Computacional.
Jacob, C. E. 1947. “Drawdown test to determine effective radius of artesian well.” Trans. Am. Soc. Civ. Eng. 112 (1):1047–1070. https://doi.org/10.1061/TACEAT.0006033.
Jha, M. K., A. Kumar, G. Nanda, and G. Bhatt. 2006. “Evaluation of traditional and nontraditional techniques for determining well parameters from step-drawdown test data.” J. Hydrol. Eng. 11 (6): 617–630. https://doi.org/10.1061/(ASCE)1084-0699(2006)11:6(617).
Kabala, Z. 2001. “Sensitivity analysis of a pumping test on a well with wellbore storage and skin.” Adv. Water Resour. 24 (5): 483–504. https://doi.org/10.1016/S0309-1708(00)00051-8.
Kasenow, M. 2006. Aquifer test data: Analysis and evaluation. Highlands Ranch, CO: Water Resources Publications.
Kennedy, J., and R. C. Eberhart. 1995. “Particle swarm optimization.” In Proc., IEEE Int. Conf. on Neural Networks, 1942–1948. Piscataway, NJ: IEEE Service Center. https://doi.org/10.1109/ICNN.1995.488968.
Kruseman, G. P., and N. A. de Ridder. 1994. Analysis and evaluation of pumping test data. 2nd ed. Wageningen, Netherlands: International Institute for Land Reclamation and Improvement.
Labadie, J. W., and O. J. Helweg. 1975. “Step-drawdown test analysis by computer.” Ground Water 12 (5): 46–52. https://doi.org/10.1111/J.1745-6584.1975.TB03611.X.
Lennox, D. H. 1966. “Analysis and application of step-drawdown test.” J. Hydraul. Div. 92 (6): 25–47. https://doi.org/10.1061/JYCEAJ.0001558.
Li, Q., S.-Y. Liu, and X.-S. Yang. 2020. “Influence of initialization on the performance of metaheuristic optimizers.” Appl. Soft Comput. 91 (Jun): 106193. https://doi.org/10.1016/j.asoc.2020.106193.
Louwyck, A., A. Vandenbohede, and L. Lebbe. 2010. “Numerical analysis of step-drawdown tests: Parameter identification and uncertainty.” J. Hydrol. 380 (1): 165–179. https://doi.org/10.1016/j.jhydrol.2009.10.034.
Mantegna, R. N. 1994. “Fast, accurate algorithm for numerical simulation of Levy stable stochastic processes.” Phys. Rev. E 49 (5): 4677–4683. https://doi.org/10.1103/PhysRevE.49.4677.
Plischke, E. 2012. “An adaptive correlation ratio method using the cumulative sum of the reordered output.” Reliability Eng. Syst. Saf. 107 (Nov): 149–156. https://doi.org/10.1016/j.ress.2011.12.007.
Price, K., R. M. Storn, and J. A. Lampinen. 2005. Differential evolution: A practical approach to global optimization. New York: Springer.
Rorabaugh, M. I. 1953. “Graphical and theoretical analysis of step-drawdown test of artesian well.” Proc. Am. Soc. Civ. Eng. 79 (12): 1–23.
Şahin, A. U. 2018. “A particle swarm optimization assessment for the determination of non-darcian flow parameters in a confined aquifer.” Water Resour. Manage. 32 (2): 751–767. https://doi.org/10.1007/s11269-017-1837-9.
Sheahan, N. T. 1971. “Type-curve solution of step-drawdown test.” Ground Water 9 (1): 25–29. https://doi.org/10.1111/j.1745-6584.1971.tb03528.x.
Singh, S. K. 2002. “Well loss estimation: Variable pumping replacing step drawdown test.” J. Hydraul. Eng. 128 (3): 343–348. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:3(343).
Storn, R., and K. Price. 1997. “Differential evolution: A simple and efficient heuristic for global optimization over continuous spaces.” J. Global Optim. 11 (4): 341–359. https://doi.org/10.1023/A:1008202821328.
Theis, C. V. 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. https://doi.org/10.1029/TR016i002p00519.
Walton, W. C. 1962. Selected analytical methods for well and aquifer evaluation. Illinois State Water Survey Bulletin 49. Urbana, IL: Illinois State Water Survey.
Yang, X. S. 2009. “The standard Cuckoo search (CS).” Accessed October 1, 2021. https://www.mathworks.com/matlabcentral/fileexchange/74767-the-standard-cuckoo-search-cs.
Yang, X. S. 2014. Nature-inspired optimization algorithms. Amsterdam, Netherlands: Elsevier.
Yang, X.-S., and S. Desb. 2009. “Cuckoo search via Lévy flights.” In Proc., World Congress on Nature & Biologically Inspired Computing (NaBIC), 210–214. New York: IEEE. https://doi.org/10.1109/NABIC.2009.5393690.
Yeh, H. 1989. “Step-drawdown data-analysis.” J. Hydraul. Eng. 115 (10): 1426–1432. https://doi.org/10.1061/(ASCE)0733-9429(1989)115:10(1426).
Zhang, M., C. Mok, and I. Polenghi-Gross. 2007. “Optimization of groundwater extraction-and-treatment systems using differential evolution (DE) algorithm.” In Proc., World Environmental and Water Resources Congress. Reston, VA: ASCE. https://doi.org/10.1061/40927(243)337.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 27Issue 8August 2022

History

Received: Nov 2, 2021
Accepted: Apr 5, 2022
Published online: May 27, 2022
Published in print: Aug 1, 2022
Discussion open until: Oct 27, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Emin Çiftçi [email protected]
Associate Professor, Dept. of Civil Engineering, Maltepe Univ., Istanbul 34857, Turkey (corresponding author). Email: [email protected]
A. Ufuk Sahin [email protected]
Associate Professor, Dept. of Civil Engineering, Hacettepe Univ., Ankara 06800, Turkey. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share