Research Article

Analysis of the water content in an unconfined aquifer with a partially penetrated pumping well

  1. Jiann-Mou Chen*

Article first published online: 16 SEP 2008

DOI: 10.1002/hyp.7123

Issue

Hydrological Processes

Hydrological Processes

Volume 22, Issue 26, pages 5037–5047, 30 December 2008

Additional Information

How to Cite

Chen, J.-M. (2008), Analysis of the water content in an unconfined aquifer with a partially penetrated pumping well. Hydrol. Process., 22: 5037–5047. doi: 10.1002/hyp.7123

Author Information

  1. Department of Assets and Property Management, Hwa Hsia Institute of Technology, Taipei, 235, Taiwan

*Dept. of Assets and Property Management, Hwa Hsia Institute of Technology, 111, Gong Jhuan Rd., Chung-ho City, Taipei County, 235, Taiwan.

Publication History

  1. Issue published online: 3 DEC 2008
  2. Article first published online: 16 SEP 2008
  3. Manuscript Accepted: 26 JUN 2008
  4. Manuscript Received: 21 OCT 2007

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Keywords:

  • unconfined aquifer;
  • volumetric water content;
  • partially penetrated pumping well;
  • Fourier integral transformation;
  • linearized Richards equation

Abstract

Most methods developed to represent water flow phenomena in an unconfined aquifer with a fully penetrated pumping well are either numerical, such as the well-known FEMWTER model, or experimental; analytical models of a partially penetrated pumping well are rare. This study employs the linearized Richards equation as the governing equation, with the aid of Fourier Integral Transformation, to obtain an analytical solution of the water content distribution in an unconfined aquifer with a partially penetrated pumping well. The results from this study could serve to substantiate in some sense results from numerical models. In addition, the theory developed herein can be modified to simulate a vacuum-pressured pumping well since it is derived by considering, among others, the location and length of a well screen with fluxes. Copyright © 2008 John Wiley & Sons, Ltd.

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