A novel analytical solution for a slug test conducted in a well with a finite-thickness skin

Hund-Der Yeh*, Shaw Yang Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

An aquifer containing a skin zone is considered as a two-zone system. A mathematical model describing the head distribution is presented for a slug test performed in a two-zone confined aquifer system. A closed-form solution for the model is derived by Laplace transforms and Bromwich integral. This new solution is used to investigate the effects of skin type, skin thickness, and the contrast of skin transmissivity to formation transmissivity on the distributions of dimensionless hydraulic head. The results indicate that the effect of skin type is marked if the slug-test data is obtained from a radial two-zone aquifer system. The dimensionless well water level increases with the dimensionless positive skin thickness and decreases as the dimensionless negative skin thickness increases. In addition, the distribution of dimensionless well water level due to the slug test depends on the hydraulic properties of both the wellbore skin and formation zones.

Original languageEnglish
Pages (from-to)1479-1489
Number of pages11
JournalAdvances in Water Resources
Volume29
Issue number10
DOIs
StatePublished - 1 Oct 2006

Keywords

  • Closed-form solution
  • Confined aquifer
  • Ground water
  • Laplace transforms
  • Skin effect
  • Slug test

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