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Open Access

Analytical solutions for constant-rate test in bounded confined aquifers with non-Darcian effect

Yi-jie Zong1,2,3, Li-hua Chen1,2,3, Jian-jun Liu1,2,3, Yue-hui Liu1, Yong-xin Xu4, Fu-wan Gan1,2,3, Liang Xiao1,2,3( )
College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China
Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning 530004, China
Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, Nanning 530004, China
Department of Earth Sciences, University of the Western Cape, Cape Town 8000, South Africa
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Abstract

This paper proposes a simplified analytical solution considering non-Darcian and wellbore storage effect to investigate the pumping flow in a confined aquifer with barrier and recharge boundaries. The mathematical modelling for the pumping-induced flow in aquifers with different boundaries is developed by employing image-well theory with the superposition principle, of which the non-Darcian effect is characterized by Izbash’s equation. The solutions are derived by Boltzmann and dimensionless transformations. Then, the non-Darcian effect and wellbore storage are especially investigated according to the proposed solution. The results show that the aquifer boundaries have non-negligible effects on pumping, and ignoring the wellbore storage can lead to an over-estimation of the drawdown in the first 10 minutes of pumping. The higher the degree of non-Darcian, the smaller the drawdown.

Keywords

Analytical solutionNon-Darcian effectBounded aquiferWellbore storageIzbash’s equation

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Journal of Groundwater Science and Engineering
Volume 10 Issue 4,
December 2022
Pages 311-321
DOI: 10.19637/j.cnki.2305-7068.2022.04.001
Cite this article:
Zong Y-j, Chen L-h, Liu J-j, et al. Analytical solutions for constant-rate test in bounded confined aquifers with non-Darcian effect. Journal of Groundwater Science and Engineering, 2022, 10(4): 311-321. https://doi.org/10.19637/j.cnki.2305-7068.2022.04.001

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Received: 01 June 2022
Accepted: 29 October 2022
Published: 20 December 2022
© 2022 Journal of Groundwater Science and Engineering Editorial Office
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