Skip to main content
Journal cover image

Response of a partially penetrating well in a heterogeneous aquifer: Integrated well-face flux vs. uniform well-face flux boundary conditions

Publication ,  Journal Article
Ruud, NC; Kabala, ZJ
Published in: Journal of Hydrology
July 1, 1997

A two-dimensional integrated well-face flux (IWFF) model is developed for computing the draw-down at the well-face and around a fully or partially penetrating well with wellbore storage, situated in a layered confined aquifer. In this model, we calculate drawdown and well-face flux distributions by numerically solving a two-dimensional diffusion equation in cylindrical coordinates subject to appropriate initial and boundary conditions and to the well-face boundary constraint of an integrated well-face flux rather than the physically inconsistent uniform well-face flux boundary condition (the UWFF model). The differences between the IWFF and UWFF models in a partially penetrating well situated in a homogeneous isotropic aquifer are insignificant for wellbore drawdown (less than 3%) but are pronounced for the well-face flux. In fact, the latter strongly deviates from uniformity as the ratio of the screen length to the aquifer thickness decreases. For partially penetrating wells situated in multilayer aquifers, significant differences between the two models may arise, especially if the screen is not located in the most conductive layer. These differences depend on the hydraulic conductivity contrast of the adjacent layers. Consequently, the uniform well-face flux boundary condition should be used with extreme caution.

Duke Scholars

Published In

Journal of Hydrology

DOI

ISSN

0022-1694

Publication Date

July 1, 1997

Volume

194

Issue

1-4

Start / End Page

76 / 94

Related Subject Headings

  • Environmental Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Ruud, N. C., & Kabala, Z. J. (1997). Response of a partially penetrating well in a heterogeneous aquifer: Integrated well-face flux vs. uniform well-face flux boundary conditions. Journal of Hydrology, 194(1–4), 76–94. https://doi.org/10.1016/S0022-1694(96)03217-9
Ruud, N. C., and Z. J. Kabala. “Response of a partially penetrating well in a heterogeneous aquifer: Integrated well-face flux vs. uniform well-face flux boundary conditions.” Journal of Hydrology 194, no. 1–4 (July 1, 1997): 76–94. https://doi.org/10.1016/S0022-1694(96)03217-9.
Ruud, N. C., and Z. J. Kabala. “Response of a partially penetrating well in a heterogeneous aquifer: Integrated well-face flux vs. uniform well-face flux boundary conditions.” Journal of Hydrology, vol. 194, no. 1–4, July 1997, pp. 76–94. Scopus, doi:10.1016/S0022-1694(96)03217-9.
Journal cover image

Published In

Journal of Hydrology

DOI

ISSN

0022-1694

Publication Date

July 1, 1997

Volume

194

Issue

1-4

Start / End Page

76 / 94

Related Subject Headings

  • Environmental Engineering