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

Vitaly Zlotnik, Xunhong Chen, Bei Sun

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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
Volume36
Issue number3
DOIs
StatePublished - Jan 1 1998

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unconfined aquifer
Aquifers
Hydraulics
aquifer
hydraulics
pumping
well
Laplace transform
Laplace transforms
pollutant transport
water table
Groundwater
Impurities
groundwater
method
evaluation
Water

ASJC Scopus subject areas

  • Water Science and Technology
  • Computers in Earth Sciences

Cite this

Semianalytical evaluation of three-dimensional velocity near a partially penetrating well in an unconfirmed aquifer. / Zlotnik, Vitaly; Chen, Xunhong; Sun, Bei.

In: Ground Water, Vol. 36, No. 3, 01.01.1998, p. 514-519.

Research output: Contribution to journalArticle

Zlotnik, Vitaly ; Chen, Xunhong ; Sun, Bei. / Semianalytical evaluation of three-dimensional velocity near a partially penetrating well in an unconfirmed aquifer. In: Ground Water. 1998 ; Vol. 36, No. 3. pp. 514-519.
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