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 journalArticle

7 Citations (Scopus)

Abstract

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
Volume448-449
DOIs
StatePublished - Jul 2 2012

Fingerprint

radial flow
confined aquifer
pumping
well
drawdown
anisotropy
penetration
water supply
aquifer
water

Keywords

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

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer. / Mishra, Phoolendra Kumar; Vesselinov, Velimir V.; Neuman, Shlomo P.

In: Journal of Hydrology, Vol. 448-449, 02.07.2012, p. 255-259.

Research output: Contribution to journalArticle

Mishra, Phoolendra Kumar ; Vesselinov, Velimir V. ; Neuman, Shlomo P. / Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer. In: Journal of Hydrology. 2012 ; Vol. 448-449. pp. 255-259.
@article{a4d308bb5c164e2b94d77e864c460d83,
title = "Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer",
abstract = "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.",
keywords = "Anisotropy, Aquifer testing, Confined aquifer, Laplace transform, Pumping test, Wellbore storage",
author = "Mishra, {Phoolendra Kumar} and Vesselinov, {Velimir V.} and Neuman, {Shlomo P}",
year = "2012",
month = "7",
day = "2",
doi = "10.1016/j.jhydrol.2012.05.010",
language = "English (US)",
volume = "448-449",
pages = "255--259",
journal = "Journal of Hydrology",
issn = "0022-1694",
publisher = "Elsevier",

}

TY - JOUR

T1 - Radial flow to a partially penetrating well with storage in an anisotropic confined aquifer

AU - Mishra, Phoolendra Kumar

AU - Vesselinov, Velimir V.

AU - Neuman, Shlomo P

PY - 2012/7/2

Y1 - 2012/7/2

N2 - 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.

AB - 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.

KW - Anisotropy

KW - Aquifer testing

KW - Confined aquifer

KW - Laplace transform

KW - Pumping test

KW - Wellbore storage

UR - http://www.scopus.com/inward/record.url?scp=84862010384&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862010384&partnerID=8YFLogxK

U2 - 10.1016/j.jhydrol.2012.05.010

DO - 10.1016/j.jhydrol.2012.05.010

M3 - Article

VL - 448-449

SP - 255

EP - 259

JO - Journal of Hydrology

JF - Journal of Hydrology

SN - 0022-1694

ER -