Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer

Phoolendra Kumar Mishra, Velimir V. Vesselinov, Shlomo P. Neuman

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Drawdowns generated by extracting water from large diameter (e.g. water supply) well are affected by wellbore storage. We present an analytical solution in Laplace transformed space for drawdown in a uniform anisotropic aquifer caused by withdrawing water at a constant rate from partially penetrating well with storage. The solution is back transformed into the time domain numerically. When the pumping well is fully penetrating our solution reduces to that of . Papadopulos and Cooper (1967); Hantush (1964) when the pumping well has no wellbore storage; . Theis (1935) when both conditions are fulfilled and . Yang (2006) when the pumping well is partially penetrating, has finite radius but lacks storage. Newly developed solution is then used to explore graphically the effects of partial penetration, wellbore storage and anisotropy on time evolutions of drawdown in the pumping well and in observation wells. We concluded after validating the developed analytical solution using synthetic pumping test.

Original languageEnglish (US)
Pages (from-to)255-259
Number of pages5
JournalJournal of Hydrology
StatePublished - Jul 2 2012


  • Anisotropy
  • Aquifer testing
  • Confined aquifer
  • Laplace transform
  • Pumping test
  • Wellbore storage

ASJC Scopus subject areas

  • Water Science and Technology


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