Articles | Volume 19, issue 6
https://doi.org/10.5194/hess-19-2639-2015
https://doi.org/10.5194/hess-19-2639-2015
Technical note
 | 
05 Jun 2015
Technical note |  | 05 Jun 2015

Technical Note: Approximate solution of transient drawdown for constant-flux pumping at a partially penetrating well in a radial two-zone confined aquifer

C.-S. Huang, S.-Y. Yang, and H.-D. Yeh

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Revised manuscript accepted for HESS
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Cited articles

Carslaw, H. S. and Jaeger, J. C.: Conduction of heat in solids, 2nd Edn., Oxford University Press, London, 1959.
Chen, C. S.: A reinvestigation of the analytical solution for drawdown distributions in a finite confined aquifer, Water Resour. Res., 20, 1466–1468, 1984.
Chen, C. S. and Chang, C. C.: Theoretical evaluation of non-uniform skin effect on aquifer response under constant rate pumping, J. Hydrol., 317, 190–201, https://doi.org/10.1016/j.jhydrol.2005.05.017, 2006
Chiu, P. Y., Yeh, H. D., and Yang, S. Y.: A new solution for a partially penetrating constant-rate pumping well with a finite-thickness skin, Int. J. Numer. Anal. Meth. Geomech., 31, 1659–1674, https://doi.org/10.1002/nag.607, 2007.
Fang, Y. M., Sun, J. J., and Chen, G. N.: A simple approach to the solution of the diffusion equation at the microcylinder electrode – an inspiration from the film projector, Chem. Phys. Chem., 10, 2393–2396, https://doi.org/10.1002/cphc.200900404, 2009.
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Short summary
Existing solutions for the problem of constant-flux pumping (CFP) in a two-zone confined aquifer involve laborious calculation. This study develops a new approximate solution for the problem. The solution is in terms of a simple series expanded by integers and thus very convenient for those who are not familiar with numerical methods. A quantitative criterion for the validity of neglecting the vertical flow component due to a partially penetrating well is provided.