Articles | Volume 23, issue 3
Research article
08 Mar 2019
Research article |  | 08 Mar 2019

A general analytical model for head response to oscillatory pumping in unconfined aquifers: effects of delayed gravity drainage and initial condition

Ching-Sheng Huang, Ya-Hsin Tsai, Hund-Der Yeh, and Tao Yang

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Manuscript not accepted for further review
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Cited articles

Bakhos, T., Cardiff, M., Barrash, W., and Kitanidis, P. K.: Data processing for oscillatory pumping tests, J. Hydrol., 511, 310–319,, 2014. 
Black, J. H. and Kipp, K. L.: Determination of hydrogeological parameters using sinusoidal pressure tests – a theoretical appraisal, Water Resour. Res., 1 7, 686–692,, 1981. 
Cardiff, M. and Barrash, W.: 3-D transient hydraulic tomography in unconfined aquifers with fast drainage response, Water Resour. Res., 47, W12518,, 2011. 
Cardiff, M. and Barrash, W.: Analytical and semianalytical tools for the design of oscillatory pumping tests, Ground Water, 53, 896–907,, 2014. 
Cardiff, M., Bakhos, T., Kitanidis, P. K., and Barrash, W.: Aquifer heterogeneity characterization with oscillatory pumping: Sensitivity analysis and imaging potential, Water Resour. Res., 49, 5395–5410,, 2013. 
Short summary
The study develops a new model describing head fluctuation induced by oscillatory pumping test (OPT) in an unconfined aquifer with effects of delayed gravity drainage (DGD) and initial condition regarding the hydraulic head prior to OPT. The DGD reduces to instantaneous gravity drainage when a dimensionless parameter exceeds 500. A pseudo-steady-state model excluding initial condition causes a time-shift from the actual transient model in predicting simple harmonic motion of head fluctuation.