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

Autor: Yi-jie Zong, Li-hua Chen, Jian-jun Liu, Yue-hui Liu, Yong-xin Xu, Fu-wan Gan, Liang Xiao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Groundwater Science and Engineering, Vol 10, Iss 4, Pp 311-321 (2022)
Druh dokumentu: article
ISSN: 2305-7068
DOI: 10.19637/j.cnki.2305-7068.2022.04.001
Popis: 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.
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