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Volume 10 Issue 4
Dec.  2022
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Article Contents
Zong YJ, Chen LH, Liu JJ, et al. 2022. Analytical solutions for constant-rate test in bounded confined aquifers with non-Darcian effect. Journal of Groundwater Science and Engineering, 10(4): 311-321 doi:  10.19637/j.cnki.2305-7068.2022.04.001
Citation: Zong YJ, Chen LH, Liu JJ, et al. 2022. Analytical solutions for constant-rate test in bounded confined aquifers with non-Darcian effect. Journal of Groundwater Science and Engineering, 10(4): 311-321 doi:  10.19637/j.cnki.2305-7068.2022.04.001

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

doi: 10.19637/j.cnki.2305-7068.2022.04.001
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  • Corresponding author: xiaoliang850425@gmail.com
  • Received Date: 2022-06-01
  • Accepted Date: 2022-10-29
  • Available Online: 2022-12-20
  • Publish Date: 2022-12-31
  • 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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