Capture flows of funnel-and-gate reactive barriers without gravel packs

H. Klammler*, K. Hatfield, A. Kacimov

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


Permeable reactive barriers (PRBs) are a passive in-situ technology, which is based on the interception and physical, chemical and/or biological remediation of a contaminant plume through installation of reactive material in an aquifer. Previous work of the authors includes analytical approaches in two dimensions (horizontal plane) based on the conformal mapping technique that allows for the determination of the groundwater flow fields and capture zones of PRBs of different types. Solutions assume that the permeability kr of the reactive material itself is high with respect to the surrounding aquifer permeability ka or that highly permeable gravel packs are present to equilibrate the hydraulic heads at the up and down-gradient faces of the reactor. Respective results include a simple relationship Q(R) between capture flow Q and reactor Darcian hydraulic resistance R. Based on the same technique, the present work gives an exact solution for funnel-and-gate (FG) and velocity equalization wall (VEW) PRBs without gravel packs for the particular case of kr = ka. Furthermore, a numerical finite difference study is performed to show that Q(R) is a good approximation (with errors in the 1% range of maximum capture flow Q(0)) for FG and VEW PRBs of arbitrary geometric configurations and arbitrary values of kr/ka, even in the absence of highly permeable gravel packs at the reactor entrance and exit faces.

Original languageEnglish
Title of host publicationAdvances in Fluid Mechanics VIII, AFM 2010
Number of pages12
Publication statusPublished - 2010
Event8th International Conference on Advances in Fluid Mechanics, AFM 2010 - Algarve, Portugal
Duration: Sept 15 2010Sept 17 2010

Publication series

NameWIT Transactions on Engineering Sciences
ISSN (Print)1743-3533


Other8th International Conference on Advances in Fluid Mechanics, AFM 2010


  • PRB
  • Schwarz-Christoffel
  • aquifer
  • conformal mapping
  • contaminant plume
  • groundwater
  • passive remediation

ASJC Scopus subject areas

  • Computational Mechanics
  • General Materials Science
  • Mechanics of Materials
  • Fluid Flow and Transfer Processes
  • Electrochemistry


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