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Research paper | Open Access

Analytical solution for Non-Darcian effect on transient confined-unconfined flow in a confined aquifer

Peng-yu Shi1,2,3, Jian-jun Liu1,2,3, Yi-jie Zong1,2,3, Kai-qing Teng1,2,3, Yu-ming Huang1, 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
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Abstract

This paper presents a new analytical solution to investigate the mechanism of transient confined-unconfined flow in a confined aquifer induced by pumping with a large rate during mine drainage. The study focuses on understanding the impact of non-Darcian effect on flow towards a fully penetrated pumping well. The nonlinear relationship between specific discharge and the hydraulic gradient is described using Izbash's equation. A novel approximate method is developed to linearize the mathematical model, and the solution is derived using the Boltzmann transform. The proposed solution is validated by comparing it with previous works. The findings indicate that increased non-Darcian index, quasi-hydraulic conductivity, and specific storage have negatively affect the development of the unconfined region and aquifer drawdown, as greater turbulence flow accelerates recharge to the pumping well. Drawdown is found to be sensitive to the non-Darcian index, quasi-hydraulic conductivity, while it is unaffected by specific yield and specific storage. The conclusions provide valuable insights for mine drainage and the application of geological and hydrological conditions.

Keywords

Sensitivity analysisBoltzmann transformNon-Darcian flowIzbash equation

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Journal of Groundwater Science and Engineering
Volume 11 Issue 4,
December 2023
Pages 365-378
DOI: 10.26599/JGSE.2023.9280029
Cite this article:
Shi P-y, Liu J-j, Zong Y-j, et al. Analytical solution for Non-Darcian effect on transient confined-unconfined flow in a confined aquifer. Journal of Groundwater Science and Engineering, 2023, 11(4): 365-378. https://doi.org/10.26599/JGSE.2023.9280029

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Received: 25 December 2022
Accepted: 30 April 2023
Published: 10 December 2023
2305-7068/© 2023 Journal of Groundwater Science and Engineering Editorial Office

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0)
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