Semianalytical evaluation of three-dimensional velocity near a partially penetrating well in an unconfirmed aquifer

Vitaly Zlotnik, Xunhong Chen, Bei Sun

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6 Scopus citations


This paper presents an effective semianalytical method for computation of ground water velocities near a partially penetrating well in an unconfined aquifer. The Neuman solution (1974) is presented as the sum of the Hantush solution (1964) and a correction term for water table conditions. Hydraulic gradients are directly evaluated from the Hantush solution, whereas the gradients for the Neuman correction are calculated using a numerical inversion of the Laplace transform. The method presented here is verified by comparing it with the results of a finite-difference approximation of hydraulic gradients. Calculations of velocities near a pumping well in an unconfined aquifer indicate that, after an initial increase, the vertical velocity decreases before reaching steady state. The method provides a useful tool for the study of well hydraulics and contaminant transport to a pumping well in an unconfined aquifer.

Original languageEnglish (US)
Pages (from-to)514-519
Number of pages6
JournalGround Water
Issue number3
StatePublished - Jan 1 1998


ASJC Scopus subject areas

  • Water Science and Technology
  • Computers in Earth Sciences

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